
Time bar (total: 6.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 529.0ms | 1 144× | 2 | valid |
| 521.0ms | 5 653× | 0 | valid |
| 184.0ms | 1 300× | 1 | valid |
| 77.0ms | 947× | 0 | invalid |
| 39.0ms | 159× | 3 | valid |
ival-div: 353.0ms (34.4% of total)ival-mult: 249.0ms (24.3% of total)adjust: 113.0ms (11% of total)ival-sqrt: 101.0ms (9.9% of total)ival-sub: 71.0ms (6.9% of total)ival-add: 67.0ms (6.5% of total)ival-neg: 52.0ms (5.1% of total)exact: 9.0ms (0.9% of total)ival-true: 8.0ms (0.8% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 122 | 0 | - | 2 | (-9.640632693747282e-261 -1.807410543846628e-279 4.4307251223893074e-64) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 66 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 10 | 0 | - | 4 | (-1.7558788537738845e-165 2.20334908136029e-145 -7.240851215981175e-302) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 9 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 1 | (-7.447416317695508e-101 1.0930360672307882e-5 -9.538498388521797e-225) | 0 | - | (*.f64 #s(literal 4 binary64) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | oflow-rescue | 116 | 0 |
| ↳ | (*.f64 b b) | overflow | 98 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 33 | |
| ↳ | (*.f64 a c) | overflow | 33 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | overflow | 116 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | cancellation | 66 | 0 |
-.f64 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | nan-rescue | 9 | 0 |
| ↳ | (*.f64 b b) | overflow | 98 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 33 | |
| ↳ | (*.f64 a c) | overflow | 33 | |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | u/n | 6 | 0 |
| ↳ | (*.f64 b b) | underflow | 44 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 31 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | underflow | 17 | |
| ↳ | (*.f64 a c) | underflow | 32 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 4 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | uflow-rescue | 4 | 0 |
| ↳ | (*.f64 b b) | underflow | 44 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 31 | |
| ↳ | (*.f64 a c) | underflow | 32 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 4 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 132 | 2 |
| - | 20 | 102 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 132 | 0 | 2 |
| - | 20 | 0 | 102 |
| number | freq |
|---|---|
| 0 | 104 |
| 1 | 108 |
| 2 | 39 |
| 3 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 350× | 0 | valid |
| 21.0ms | 78× | 2 | valid |
| 12.0ms | 74× | 1 | valid |
| 3.0ms | 10× | 3 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-mult: 13.0ms (30% of total)ival-div: 8.0ms (18.4% of total)ival-sqrt: 6.0ms (13.8% of total)adjust: 5.0ms (11.5% of total)ival-sub: 4.0ms (9.2% of total)ival-add: 4.0ms (9.2% of total)ival-neg: 2.0ms (4.6% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 158 |
| 1 | 171 | 151 |
| 2 | 450 | 151 |
| 3 | 949 | 151 |
| 4 | 1398 | 151 |
| 5 | 1578 | 151 |
| 6 | 1702 | 151 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 44 | 17 |
| 2 | 94 | 17 |
| 3 | 176 | 17 |
| 4 | 259 | 17 |
| 5 | 310 | 17 |
| 6 | 320 | 17 |
| 7 | 350 | 17 |
| 8 | 398 | 17 |
| 9 | 436 | 17 |
| 0 | 436 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 44 | 70 |
| 2 | 94 | 70 |
| 3 | 176 | 70 |
| 4 | 259 | 70 |
| 5 | 310 | 70 |
| 6 | 320 | 70 |
| 7 | 350 | 70 |
| 8 | 398 | 70 |
| 9 | 436 | 70 |
| 0 | 436 | 66 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 (*.f64 c #s(literal 4 binary64)) a) |
#s(literal 4 binary64) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.8046875000000002 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | |
| accuracy | 2.197529073634451 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.274925736478826 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | |
| accuracy | 28.341695353382757 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 16.0ms | 175× | 0 | valid |
| 9.0ms | 39× | 2 | valid |
| 6.0ms | 37× | 1 | valid |
| 1.0ms | 5× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-mult: 6.0ms (30.6% of total)ival-div: 3.0ms (15.3% of total)ival-sqrt: 3.0ms (15.3% of total)ival-sub: 2.0ms (10.2% of total)adjust: 2.0ms (10.2% of total)ival-add: 2.0ms (10.2% of total)ival-neg: 1.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| Outputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(- (pow b 2) (* 4 (* a c))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | a | @ | -inf | ((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | b | @ | inf | ((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | c | @ | -inf | ((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | a | @ | inf | ((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 2.0ms | b | @ | 0 | ((- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 2842 |
| 1 | 1916 | 2807 |
| 2 | 7910 | 2807 |
| 0 | 8090 | 2667 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(- (pow b 2) (* 4 (* a c))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
| Outputs |
|---|
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 74 | 51 |
| 2 | 504 | 50 |
| 3 | 6317 | 49 |
| 0 | 8274 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (fma.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 4 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
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(/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
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(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
Compiled 16 937 to 1 866 computations (89% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 393 | 19 | 412 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 394 | 19 | 413 |
| Status | Accuracy | Program |
|---|---|---|
| 48.9% | (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) | |
| 30.2% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a))) | |
| 49.0% | (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) | |
| 24.6% | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) | |
| ▶ | 8.6% | (/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
| ▶ | 50.1% | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
| ▶ | 49.8% | (/.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)) |
| 47.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| 38.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 35.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| 23.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 11.0% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| 32.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 26.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
| 49.9% | (-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) | |
| 28.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) | |
| 34.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ▶ | 32.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
Compiled 938 to 662 computations (29.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) | |
| cost-diff | 2 | (/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 0 | (*.f64 (/.f64 a b) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (neg.f64 b) a) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 306 |
| 0 | 64 | 303 |
| 1 | 122 | 303 |
| 2 | 232 | 301 |
| 3 | 400 | 301 |
| 4 | 635 | 301 |
| 5 | 1352 | 301 |
| 6 | 2216 | 301 |
| 7 | 2797 | 301 |
| 8 | 3638 | 301 |
| 9 | 4967 | 301 |
| 10 | 6125 | 301 |
| 11 | 6399 | 301 |
| 12 | 6547 | 301 |
| 13 | 6629 | 301 |
| 14 | 6629 | 301 |
| 15 | 7045 | 301 |
| 16 | 7581 | 301 |
| 17 | 7807 | 301 |
| 18 | 7807 | 301 |
| 19 | 7807 | 301 |
| 0 | 10031 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(/.f64 a b) |
a |
b |
#s(literal -2 binary64) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (+.f64 (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 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 b b) |
#s(literal -2 binary64) |
(*.f64 #s(literal -2 binary64) a) |
| Outputs |
|---|
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(/.f64 a b) |
a |
b |
#s(literal -2 binary64) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal -2 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
(*.f64 b b) |
#s(literal -2 binary64) |
(*.f64 #s(literal -2 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.8125000000000002 | (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) | |
| accuracy | 2.206384284968837 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) | |
| accuracy | 14.274925736478826 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| accuracy | 28.341695353382757 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 0.24965453096381834 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 2.197529073634451 | (/.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)) | |
| accuracy | 14.274925736478826 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 28.341695353382757 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 a b) #s(literal -2 binary64)) | |
| accuracy | 2.197529073634451 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.4748964498606325 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| accuracy | 42.03667541091933 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 b) a) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 43.06608428714854 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| accuracy | 1.8125000000000002 | (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) | |
| accuracy | 2.197529073634451 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) | |
| accuracy | 14.274925736478826 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| accuracy | 28.341695353382757 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
| 50.0ms | 175× | 0 | valid |
| 25.0ms | 39× | 2 | valid |
| 16.0ms | 37× | 1 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 301 to 38 computations (87.4% saved)
ival-div: 17.0ms (26.2% of total)ival-mult: 16.0ms (24.7% of total)ival-sqrt: 13.0ms (20.1% of total)ival-add: 7.0ms (10.8% of total)adjust: 6.0ms (9.3% of total)ival-sub: 4.0ms (6.2% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(/.f64 (+.f64 (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 b) (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))) |
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) 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))))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ b a)) |
(* -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)))))))) |
(* -2 (/ a b)) |
(* 1/2 (/ c (* a b))) |
(/ (+ (* 1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a) |
(/ (+ (* 1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (/ (* a (pow c 3)) (pow b 5))))) a) |
(/ (+ (* 1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (/ (pow c 3) (pow b 5))))))) a) |
(* -1 (/ (* a c) b)) |
(* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* 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))) |
(* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (* 1/4 (/ b a))) a) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (/ b a)))) a) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/4 (/ b a))))) a) |
(* 1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* a (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* a (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* 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)))))) |
(* 1/2 (* (sqrt (/ c (pow a 3))) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (/ b a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/4 b)) a)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/4 b)) a)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) a)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 b) |
(+ (* -1 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))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* 1/4 (/ b (pow a 2)))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ b (sqrt -4)))) (* 1/4 (/ 1 (pow a 2)))))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/4 (/ 1 (pow a 2)))))) |
(+ (* -1/2 b) (* 1/2 (* (sqrt (* a c)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1/2))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -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) |
(/ (+ (* 1/2 (/ c a)) (* 1/2 (/ (pow c 2) (pow b 2)))) b) |
(/ (+ (* 1/2 (/ c a)) (+ (* 1/2 (/ (pow c 2) (pow b 2))) (/ (* a (pow c 3)) (pow b 4)))) b) |
(/ (+ (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow b 6)))) (+ (* 1/2 (/ c a)) (+ (* 1/2 (/ (pow c 2) (pow b 2))) (/ (* a (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1 (* a c)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 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)))))) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 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)))))))) |
(* 1/2 (/ b (pow a 2))) |
(* -1 (* b (- (* 1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* b (- (+ (* 1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ (pow c 2) (pow b 4)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* b (- (+ (* 1/2 (/ c (* a (pow b 2)))) (+ (* 1/2 (/ (pow c 2) (pow b 4))) (/ (* a (pow c 3)) (pow b 6)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -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 (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* c (+ (* c (+ (* 1/2 (/ 1 (pow b 3))) (/ (* a c) (pow b 5)))) (* 1/2 (/ 1 (* a b))))) |
(* c (+ (* c (+ (* c (+ (* 1/8 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* (pow a 2) b))) (/ a (pow b 5)))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a b))))) |
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* -1/4 (/ (* 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))))))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* 1/4 (/ b (* (pow a 2) c))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (/ b (* (pow a 2) c)))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/4 (/ b (* (pow a 2) c))))))) |
(* c (+ (* -1/2 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b c)) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b c)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* 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 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))) (* -1/4 (/ b (* (pow a 2) c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* (pow a 7) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | a | @ | inf | ((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) (+ (* (* -4 c) a) (* b b))) |
| 5.0ms | c | @ | -inf | ((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) (+ (* (* -4 c) a) (* b b))) |
| 5.0ms | b | @ | inf | ((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) (+ (* (* -4 c) a) (* b b))) |
| 4.0ms | b | @ | 0 | ((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) (+ (* (* -4 c) a) (* b b))) |
| 4.0ms | a | @ | 0 | ((/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) (+ (* (* -4 c) a) (* b b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 977 | 5579 |
| 1 | 3517 | 5495 |
| 0 | 8296 | 5242 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ b a)) |
(* -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)))))))) |
(* -2 (/ a b)) |
(* 1/2 (/ c (* a b))) |
(/ (+ (* 1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a) |
(/ (+ (* 1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (/ (* a (pow c 3)) (pow b 5))))) a) |
(/ (+ (* 1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (/ (pow c 3) (pow b 5))))))) a) |
(* -1 (/ (* a c) b)) |
(* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* 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))) |
(* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (* 1/4 (/ b a))) a) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (/ b a)))) a) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/4 (/ b a))))) a) |
(* 1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* a (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* a (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* 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)))))) |
(* 1/2 (* (sqrt (/ c (pow a 3))) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (/ b a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/4 b)) a)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/4 b)) a)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) a)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 b) |
(+ (* -1 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))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* 1/4 (/ b (pow a 2)))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ b (sqrt -4)))) (* 1/4 (/ 1 (pow a 2)))))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/4 (/ 1 (pow a 2)))))) |
(+ (* -1/2 b) (* 1/2 (* (sqrt (* a c)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1/2))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -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) |
(/ (+ (* 1/2 (/ c a)) (* 1/2 (/ (pow c 2) (pow b 2)))) b) |
(/ (+ (* 1/2 (/ c a)) (+ (* 1/2 (/ (pow c 2) (pow b 2))) (/ (* a (pow c 3)) (pow b 4)))) b) |
(/ (+ (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow b 6)))) (+ (* 1/2 (/ c a)) (+ (* 1/2 (/ (pow c 2) (pow b 2))) (/ (* a (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1 (* a c)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 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)))))) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 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)))))))) |
(* 1/2 (/ b (pow a 2))) |
(* -1 (* b (- (* 1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* b (- (+ (* 1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ (pow c 2) (pow b 4)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* b (- (+ (* 1/2 (/ c (* a (pow b 2)))) (+ (* 1/2 (/ (pow c 2) (pow b 4))) (/ (* a (pow c 3)) (pow b 6)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -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 (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* c (+ (* c (+ (* 1/2 (/ 1 (pow b 3))) (/ (* a c) (pow b 5)))) (* 1/2 (/ 1 (* a b))))) |
(* c (+ (* c (+ (* c (+ (* 1/8 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* (pow a 2) b))) (/ a (pow b 5)))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a b))))) |
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* -1/4 (/ (* 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))))))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* 1/4 (/ b (* (pow a 2) c))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (/ b (* (pow a 2) c)))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/4 (/ b (* (pow a 2) c))))))) |
(* c (+ (* -1/2 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b c)) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b c)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* 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 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))) (* -1/4 (/ b (* (pow a 2) c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* (pow a 7) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* 2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
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(* -1 (* c (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/4 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* (pow a 7) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal 1/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b c) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c))) (neg.f64 c)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 221 |
| 0 | 64 | 212 |
| 1 | 223 | 212 |
| 2 | 1067 | 209 |
| 0 | 10026 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(/.f64 (+.f64 (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 b) (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))) |
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a) #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b (fma.f64 b b (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b (fma.f64 b b (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 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 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 #s(literal 2 binary64) a))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (*.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 #s(literal 2 binary64) a)))) (+.f64 (/.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (*.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 #s(literal 2 binary64) a)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (/.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)))) (+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)))) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (*.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 #s(literal 2 binary64) a)) (*.f64 (/.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (*.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 #s(literal 2 binary64) a)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (/.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (fma.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (*.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))))) |
(/.f64 (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a)))) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)))) (-.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b a) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b #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))) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) (*.f64 (*.f64 #s(literal 2 binary64) a) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) a) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) a) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) |
(/.f64 (-.f64 (*.f64 b #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))) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) |
(/.f64 (fma.f64 (/.f64 b a) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (/.f64 b a) a (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) a (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 a a)) |
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(fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) c)) a (*.f64 b b)) |
(fma.f64 (neg.f64 (*.f64 a #s(literal -4 binary64))) c (*.f64 b b)) |
(fma.f64 (neg.f64 c) (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 (neg.f64 c) (*.f64 #s(literal 4 binary64) a) (*.f64 (neg.f64 b) b)) |
(fma.f64 (neg.f64 c) (*.f64 #s(literal 4 binary64) a) (*.f64 b b)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 (*.f64 (neg.f64 a) c)) #s(literal -4 binary64))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 (*.f64 (neg.f64 a) c)) #s(literal 4 binary64))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 #s(literal 4 binary64) c) (neg.f64 a) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) (neg.f64 c) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(fma.f64 (*.f64 (neg.f64 a) c) #s(literal 4 binary64) (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 (neg.f64 a) c) #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 (neg.f64 a) c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) (neg.f64 c) (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) (neg.f64 c) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) |
(fma.f64 (neg.f64 a) (*.f64 #s(literal 4 binary64) c) (*.f64 (neg.f64 b) b)) |
(fma.f64 (neg.f64 a) (*.f64 #s(literal 4 binary64) c) (*.f64 b b)) |
(fma.f64 (neg.f64 a) (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) (neg.f64 a) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 (neg.f64 a) c)) #s(literal -4 binary64))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 (neg.f64 a) c)) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 b) b (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 b) b)) |
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 a) c) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 a (neg.f64 (*.f64 #s(literal 4 binary64) c)) (*.f64 (neg.f64 b) b)) |
(fma.f64 a (neg.f64 (*.f64 #s(literal 4 binary64) c)) (*.f64 b b)) |
(fma.f64 a (*.f64 #s(literal 4 binary64) c) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 c (neg.f64 (*.f64 a #s(literal -4 binary64))) (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal 4 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 (neg.f64 a) c) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 (neg.f64 b) b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 b (neg.f64 b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 (neg.f64 a) c)) #s(literal -4 binary64))) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 (neg.f64 a) c)) #s(literal 4 binary64))) |
(fma.f64 b b (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(-.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (*.f64 b b)) |
(-.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 (neg.f64 a) c)) #s(literal 4 binary64))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(fabs.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(hypot.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 1 binary64)) (*.f64 b b)) |
(hypot.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 b b)) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))) (*.f64 b b)) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))) (*.f64 b b)) |
(hypot.f64 (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (*.f64 b b)) |
(hypot.f64 (*.f64 (neg.f64 b) b) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (neg.f64 b) b) (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (neg.f64 b) b) (neg.f64 (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)))) |
(hypot.f64 (*.f64 (neg.f64 b) b) (fabs.f64 (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)))) |
(hypot.f64 (*.f64 (neg.f64 b) b) (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))) |
(hypot.f64 (*.f64 (neg.f64 b) b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(hypot.f64 (*.f64 (neg.f64 b) b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(hypot.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (*.f64 b b)) |
(hypot.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 b b)) |
(hypot.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 b b) (neg.f64 (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)))) |
(hypot.f64 (*.f64 b b) (fabs.f64 (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)))) |
(hypot.f64 (*.f64 b b) (fabs.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))) |
(hypot.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(hypot.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(+.f64 (*.f64 (neg.f64 b) b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(+.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (*.f64 (neg.f64 b) b)) |
(+.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 (neg.f64 a) c)) #s(literal -4 binary64))) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 (neg.f64 a) c)) #s(literal 4 binary64))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
Compiled 32 738 to 3 490 computations (89.3% saved)
28 alts after pruning (26 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 849 | 20 | 869 |
| Fresh | 8 | 6 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 860 | 28 | 888 |
| Status | Accuracy | Program |
|---|---|---|
| 48.9% | (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) | |
| 24.3% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) | |
| 48.7% | (/.f64 (fma.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a))) | |
| 24.6% | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) | |
| 1.5% | (/.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) | |
| 8.6% | (/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) | |
| 8.5% | (/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) | |
| 40.6% | (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) | |
| 48.9% | (/.f64 (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) a)) | |
| 49.8% | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) | |
| 47.7% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal -2 binary64) a)) | |
| 23.1% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) | |
| 35.6% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) | |
| 11.0% | (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal -2 binary64) a)) | |
| ▶ | 38.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
| 27.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) a) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 32.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 9.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 26.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
| 26.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 49.9% | (-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) |
| 8.3% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) | |
| 9.9% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) | |
| 9.6% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) | |
| ▶ | 28.7% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
| ▶ | 34.3% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
| ✓ | 32.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
Compiled 1 387 to 948 computations (31.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) | |
| cost-diff | 4 | (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) | |
| cost-diff | 0 | (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) | |
| cost-diff | 0 | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) a) b) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) b) | |
| cost-diff | 0 | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) a) | |
| cost-diff | 0 | (/.f64 b (*.f64 #s(literal -2 binary64) a)) | |
| cost-diff | 4 | (-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 409 |
| 0 | 89 | 399 |
| 1 | 160 | 399 |
| 2 | 335 | 399 |
| 3 | 841 | 399 |
| 4 | 3743 | 377 |
| 5 | 6960 | 377 |
| 0 | 8090 | 371 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 b (*.f64 #s(literal -2 binary64) a)) |
b |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
(*.f64 b b) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c) |
(/.f64 (*.f64 #s(literal 2 binary64) a) b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
b |
c |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
b |
(/.f64 a b) |
a |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 b (*.f64 #s(literal -2 binary64) a)) |
(/.f64 b (*.f64 a #s(literal -2 binary64))) |
b |
(*.f64 #s(literal -2 binary64) a) |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
a |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
(*.f64 b b) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c) |
(/.f64 (*.f64 #s(literal 2 binary64) a) b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
b |
c |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 (neg.f64 c) b))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 (neg.f64 c) b)) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (neg.f64 c)) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c) |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
b |
(/.f64 a b) |
a |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) b))) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) b))) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) |
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) b)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(*.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) b) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(/.f64 (*.f64 (/.f64 c b) a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.3320803303120616 | (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) | |
| accuracy | 4.25252481952388 | (*.f64 a (/.f64 c b)) | |
| accuracy | 14.274925736478826 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) | |
| accuracy | 28.341695353382757 | (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) | |
| accuracy | 0.5009193695325008 | (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) | |
| accuracy | 3.1015838569811263 | (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) | |
| accuracy | 9.018765569264344 | (/.f64 (*.f64 c c) b) | |
| accuracy | 42.28822135402973 | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) a) | |
| accuracy | 2.197529073634451 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.4748964498606325 | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c) | |
| accuracy | 56.90067934790306 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 c) b) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 42.07655094914828 | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) | |
| accuracy | 0.109375 | (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) | |
| accuracy | 1.8125000000000002 | (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) | |
| accuracy | 16.534516624968955 | (-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) | |
| accuracy | 28.341695353382757 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
| 50.0ms | 175× | 0 | valid |
| 30.0ms | 47× | 2 | valid |
| 26.0ms | 29× | 1 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 328 to 47 computations (85.7% saved)
ival-mult: 23.0ms (32% of total)ival-div: 21.0ms (29.2% of total)adjust: 7.0ms (9.7% of total)ival-sqrt: 6.0ms (8.3% of total)ival-add: 6.0ms (8.3% of total)ival-sub: 5.0ms (7% of total)ival-neg: 3.0ms (4.2% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 b (*.f64 #s(literal -2 binary64) a)) |
(*.f64 #s(literal -2 binary64) a) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c) |
(/.f64 (*.f64 #s(literal 2 binary64) a) b) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (*.f64 c c) b) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
(*.f64 a (/.f64 c b)) |
| Outputs |
|---|
(* -1 (/ c b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(- (* a (- (* a (- (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(* -1/2 (/ b a)) |
(* -2 a) |
(/ (+ (* -1/2 b) (/ (* a c) b)) a) |
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 2 (/ (* a c) b)) |
(* 2 (/ a b)) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
b |
(+ b (* -4 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 a) |
(/ (* 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))))) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(+ (* -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))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 2))) |
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -4 (/ (* a c) b)) |
(* a (+ (* -4 (/ c b)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(- (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(+ (* -1 (* (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 (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(- (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))) (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(- (* b (- (* b (- (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))) (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -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 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ (pow c 2) b) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (- (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b) |
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))) |
(/ (+ (* -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 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (- (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)) (/ c (pow b 2))))) |
(* -1 (* b (- (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (/ 1 a)) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))) |
(* 1/2 (/ b a)) |
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 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 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (- (* c (- (* c (- (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(+ (* -1/2 (/ b a)) (/ c b)) |
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (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)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* 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))))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* 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))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1 (* c (- (* 1/2 (/ b (* a c))) (* -1 (* (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)) (* -1 (* (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)) (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))) |
(* -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 (/ b c)) (* 4 (/ a b))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | a | @ | -inf | ((- (/ b (* -2 a)) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (/ (* 2 a) b) c) (/ (* 2 a) b) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (* 2 a) (/ (* c c) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b))) |
| 9.0ms | a | @ | 0 | ((- (/ b (* -2 a)) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (/ (* 2 a) b) c) (/ (* 2 a) b) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (* 2 a) (/ (* c c) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b))) |
| 8.0ms | c | @ | -inf | ((- (/ b (* -2 a)) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (/ (* 2 a) b) c) (/ (* 2 a) b) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (* 2 a) (/ (* c c) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b))) |
| 5.0ms | b | @ | 0 | ((- (/ b (* -2 a)) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (/ (* 2 a) b) c) (/ (* 2 a) b) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (* 2 a) (/ (* c c) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b))) |
| 5.0ms | c | @ | inf | ((- (/ b (* -2 a)) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (/ (* 2 a) b) c) (/ (* 2 a) b) (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (* 2 a) (/ (* c c) b) (sqrt (- (* b b) (* 4 (* a c)))) (* a (/ c b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 805 | 5049 |
| 1 | 2794 | 4999 |
| 0 | 8537 | 4768 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(- (* a (- (* a (- (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(* -1/2 (/ b a)) |
(* -2 a) |
(/ (+ (* -1/2 b) (/ (* a c) b)) a) |
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 2 (/ (* a c) b)) |
(* 2 (/ a b)) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
b |
(+ b (* -4 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 a) |
(/ (* 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))))) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(+ (* -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))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 2))) |
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -4 (/ (* a c) b)) |
(* a (+ (* -4 (/ c b)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(- (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(+ (* -1 (* (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 (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(- (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))) (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(- (* b (- (* b (- (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))) (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* -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 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ (pow c 2) b) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (- (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b) |
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))) |
(/ (+ (* -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 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (- (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)) (/ c (pow b 2))))) |
(* -1 (* b (- (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (/ 1 a)) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))) |
(* 1/2 (/ b a)) |
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 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 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (- (* c (- (* c (- (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(+ (* -1/2 (/ b a)) (/ c b)) |
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (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)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* 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))))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* 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))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1 (* c (- (* 1/2 (/ b (* a c))) (* -1 (* (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)) (* -1 (* (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)) (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))) |
(* -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 (/ b c)) (* 4 (/ a b))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(-.f64 (*.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) (/.f64 c b)) |
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.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 c b)) |
(- (* a (- (* a (- (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 c b)) |
(* -1/2 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -1/2 binary64)) |
(* -2 a) |
(*.f64 #s(literal -2 binary64) a) |
(/ (+ (* -1/2 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 a (/.f64 c b))) a) |
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (*.f64 #s(literal -1/2 binary64) b)) a) |
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (*.f64 #s(literal -1/2 binary64) b)) a) |
(+ (* -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 #s(literal -2 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -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) a) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.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 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.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 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* 2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(* 2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal 2 binary64)) |
(* -1 c) |
(neg.f64 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(-.f64 (*.f64 (/.f64 (neg.f64 a) b) (/.f64 (*.f64 c c) b)) c) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
b |
(+ b (* -4 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b) |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) 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 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(- (* -1/2 (/ b a)) (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) |
(- (+ (* -1/2 (/ b a)) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))) (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(- (+ (* -1/2 (/ b a)) (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))) |
(fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.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))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))))))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
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(* -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 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 316 |
| 0 | 89 | 307 |
| 1 | 292 | 307 |
| 2 | 1970 | 307 |
| 0 | 8986 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 b (*.f64 #s(literal -2 binary64) a)) |
(*.f64 #s(literal -2 binary64) a) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c) |
(/.f64 (*.f64 #s(literal 2 binary64) a) b) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (*.f64 c c) b) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
(*.f64 a (/.f64 c b)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) b) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))) (*.f64 (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (neg.f64 a)) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) a) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (neg.f64 a)) (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) (*.f64 #s(literal -2 binary64) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) a) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 (neg.f64 a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) (neg.f64 a)) (*.f64 (neg.f64 a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) (*.f64 a #s(literal -2 binary64))) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) (*.f64 (neg.f64 a) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) a) (*.f64 (neg.f64 a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 (neg.f64 a) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (neg.f64 a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) (*.f64 a #s(literal -2 binary64))) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 (neg.f64 a) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) #s(literal -2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) a) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (*.f64 a #s(literal -2 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (neg.f64 a)) (*.f64 a (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))))) (*.f64 a (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64))) (*.f64 a (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) (*.f64 a (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a))) (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 b (neg.f64 a)) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal -2 binary64)))) (neg.f64 a)) |
(/.f64 (-.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 b #s(literal -2 binary64)) a (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) a) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal -2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))) |
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(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) b) b)))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c)) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c)) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (neg.f64 b) b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b))) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 c #s(literal -4 binary64))) a)) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 c a)) #s(literal -4 binary64))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))) |
(fabs.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(*.f64 (neg.f64 a) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 a)) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a)) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(neg.f64 (*.f64 a #s(literal -2 binary64))) |
(+.f64 a a) |
(*.f64 (/.f64 c b) c) |
(*.f64 (neg.f64 c) (/.f64 (neg.f64 c) b)) |
(*.f64 c (/.f64 c b)) |
(/.f64 (*.f64 (neg.f64 c) c) (neg.f64 b)) |
(/.f64 (*.f64 c c) (neg.f64 (neg.f64 b))) |
(/.f64 (*.f64 c c) b) |
(neg.f64 (/.f64 (*.f64 (neg.f64 c) c) b)) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 c) c) b)) |
(fabs.f64 (/.f64 (*.f64 c c) b)) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(*.f64 (/.f64 c b) a) |
(*.f64 c (/.f64 a b)) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 b)) |
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 b)) |
(/.f64 (*.f64 c a) b) |
Compiled 24 563 to 2 763 computations (88.8% saved)
35 alts after pruning (31 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 614 | 11 | 625 |
| Fresh | 1 | 20 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 618 | 35 | 653 |
| Status | Accuracy | Program |
|---|---|---|
| 48.9% | (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) | |
| 24.3% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) | |
| 48.7% | (/.f64 (fma.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a))) | |
| 1.5% | (/.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) | |
| 8.6% | (/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) | |
| 8.5% | (/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) | |
| 18.3% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (/.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 25.3% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) | |
| ▶ | 40.6% | (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
| 48.9% | (/.f64 (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) a)) | |
| ▶ | 49.8% | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
| 47.7% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal -2 binary64) a)) | |
| 23.1% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) | |
| 35.6% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) | |
| 11.0% | (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal -2 binary64) a)) | |
| 44.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) b)) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 30.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 9.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
| 27.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) a) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 32.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| 9.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (+.f64 a a) b) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 26.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
| 26.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| 18.1% | (-.f64 (/.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))))) | |
| ✓ | 49.9% | (-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) |
| 8.3% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) | |
| ▶ | 9.9% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
| ▶ | 9.6% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) |
| 33.9% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)) b)) | |
| 28.0% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) | |
| ✓ | 34.3% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
| 33.8% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) | |
| ✓ | 32.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
Compiled 2 115 to 1 285 computations (39.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) | |
| cost-diff | 0 | (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) | |
| cost-diff | 0 | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) a) c) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (/.f64 b (*.f64 a a)) | |
| cost-diff | 0 | (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 371 |
| 0 | 77 | 367 |
| 1 | 154 | 367 |
| 2 | 364 | 363 |
| 3 | 980 | 363 |
| 4 | 2827 | 363 |
| 0 | 8223 | 363 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (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) |
a |
(*.f64 b b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)) |
(/.f64 b (*.f64 a a)) |
b |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b) |
(*.f64 (*.f64 #s(literal 2 binary64) a) c) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
c |
b |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) |
(neg.f64 b) |
b |
(-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/.f64 c (*.f64 (*.f64 b b) a)) |
c |
(*.f64 (*.f64 b b) a) |
(*.f64 b b) |
a |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(*.f64 a a) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
b |
(/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
a |
(*.f64 b b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
c |
#s(literal -4 binary64) |
a |
(*.f64 b b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a a)))) |
(*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a a))) |
(/.f64 b (*.f64 a a)) |
b |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b) |
(*.f64 (*.f64 #s(literal 2 binary64) a) c) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
c |
b |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) (neg.f64 b))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) |
(*.f64 (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) (neg.f64 b)) |
(neg.f64 b) |
b |
(-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/.f64 c (*.f64 (*.f64 b b) a)) |
c |
(*.f64 (*.f64 b b) a) |
(*.f64 b b) |
a |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(*.f64 a a) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(-.f64 b (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
b |
(/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
c |
#s(literal -4 binary64) |
a |
(*.f64 b b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.197529073634451 | (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) | |
| accuracy | 14.274925736478826 | (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) | |
| accuracy | 28.341695353382757 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) | |
| accuracy | 28.462592401133318 | (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) | |
| accuracy | 6.804635889019809 | (/.f64 c (*.f64 (*.f64 b b) a)) | |
| accuracy | 9.432259356174097 | (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) | |
| accuracy | 9.786259760525741 | (*.f64 (*.f64 b b) a) | |
| accuracy | 37.840754043325006 | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) a) | |
| accuracy | 2.197529073634451 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 6.530248012227474 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b) | |
| accuracy | 56.90067934790306 | #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)) | |
| accuracy | 8.484893291513025 | (/.f64 b (*.f64 a a)) | |
| accuracy | 36.00549377392382 | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) | |
| accuracy | 0.24965453096381834 | (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) | |
| accuracy | 2.197529073634451 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) | |
| accuracy | 14.274925736478826 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) | |
| accuracy | 28.341695353382757 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
| 113.0ms | 175× | 0 | valid |
| 30.0ms | 39× | 2 | valid |
| 21.0ms | 37× | 1 | valid |
| 5.0ms | 5× | 3 | valid |
Compiled 342 to 48 computations (86% saved)
ival-div: 33.0ms (37.1% of total)ival-mult: 23.0ms (25.9% of total)ival-sub: 9.0ms (10.1% of total)ival-sqrt: 9.0ms (10.1% of total)adjust: 7.0ms (7.9% of total)ival-add: 6.0ms (6.7% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)) |
(/.f64 b (*.f64 a a)) |
(*.f64 a a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b) |
(*.f64 (*.f64 #s(literal 2 binary64) a) c) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) |
(neg.f64 b) |
(-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 (*.f64 b b) a) |
(/.f64 c (*.f64 (*.f64 b b) a)) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 1/2 (/ c (* a b))) |
(/ (+ (* 1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a) |
(/ (+ (* 1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (/ (* a (pow c 3)) (pow b 5))))) a) |
(/ (+ (* 1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (/ (pow c 3) (pow b 5))))))) a) |
(* 1/2 (/ b (pow a 2))) |
(/ b (pow a 2)) |
(pow a 2) |
(* -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)))))))) |
(* 2 (* a c)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) (pow a 2)) |
(* 2 a) |
(* a (pow b 2)) |
(/ c (* a (pow b 2))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (* 1/4 (/ b a))) a) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (/ b a)))) a) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/4 (/ b a))))) a) |
(* 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))) |
(* -1/2 (/ c (* a b))) |
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))) a) |
(* 1/2 (/ c (* a (pow b 2)))) |
(/ (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* 1/2 (* (sqrt (/ c (pow a 3))) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (/ b a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/4 b)) a)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/4 b)) a)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) a)) |
(* -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 (/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) a)) |
(* -1 (/ (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))) a)) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* 1/4 (/ b (pow a 2)))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ b (sqrt -4)))) (* 1/4 (/ 1 (pow a 2)))))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/4 (/ 1 (pow a 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))) |
(/ (+ (* -1/2 (/ c a)) (* 1/2 (/ (pow b 2) (pow a 2)))) b) |
(* -1 b) |
(/ (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ c a))) (pow b 2)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* 1/2 (/ c a)) (* 1/2 (/ (pow c 2) (pow b 2)))) b) |
(/ (+ (* 1/2 (/ c a)) (+ (* 1/2 (/ (pow c 2) (pow b 2))) (/ (* a (pow c 3)) (pow b 4)))) b) |
(/ (+ (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow b 6)))) (+ (* 1/2 (/ c a)) (+ (* 1/2 (/ (pow c 2) (pow b 2))) (/ (* a (pow c 3)) (pow b 4))))) 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 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2))))) |
(- (* 1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2)))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (- (* 1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* b (- (+ (* 1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ (pow c 2) (pow b 4)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* b (- (+ (* 1/2 (/ c (* a (pow b 2)))) (+ (* 1/2 (/ (pow c 2) (pow b 4))) (/ (* a (pow c 3)) (pow b 6)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -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)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* c (+ (* c (+ (* 1/2 (/ 1 (pow b 3))) (/ (* a c) (pow b 5)))) (* 1/2 (/ 1 (* a b))))) |
(* c (+ (* c (+ (* c (+ (* 1/8 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* (pow a 2) b))) (/ a (pow b 5)))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a 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)))))))) |
(+ (* -1/2 (/ c (* a b))) (* 1/2 (/ b (pow a 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 (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* 1/4 (/ b (* (pow a 2) c))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (/ b (* (pow a 2) c)))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/4 (/ b (* (pow a 2) c))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (- (* 1/2 (/ b (* (pow a 2) c))) (* 1/2 (/ 1 (* a b))))) |
(* c (- (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))) (* -1/4 (/ b (* (pow a 2) c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* (pow a 7) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) 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 (+ (* -1/2 (/ b (* (pow a 2) c))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* c (- (* 1/2 (/ 1 (* (pow a 2) c))) (* 1/2 (/ 1 (* a (pow b 2))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | inf | ((/ (- b (sqrt (+ (* (* c -4) a) (* b b)))) (* -2 a)) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (* (/ b (* a a)) 1/2) (/ b (* a a)) (* a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (* (* 2 a) c) b) (* (* 2 a) c) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (/ (- b (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))))) (* -2 a)) (- b (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))))) (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a) (* (* b b) a) (/ c (* (* b b) a))) |
| 4.0ms | a | @ | -inf | ((/ (- b (sqrt (+ (* (* c -4) a) (* b b)))) (* -2 a)) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (* (/ b (* a a)) 1/2) (/ b (* a a)) (* a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (* (* 2 a) c) b) (* (* 2 a) c) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (/ (- b (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))))) (* -2 a)) (- b (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))))) (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a) (* (* b b) a) (/ c (* (* b b) a))) |
| 4.0ms | b | @ | inf | ((/ (- b (sqrt (+ (* (* c -4) a) (* b b)))) (* -2 a)) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (* (/ b (* a a)) 1/2) (/ b (* a a)) (* a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (* (* 2 a) c) b) (* (* 2 a) c) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (/ (- b (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))))) (* -2 a)) (- b (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))))) (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a) (* (* b b) a) (/ c (* (* b b) a))) |
| 4.0ms | a | @ | 0 | ((/ (- b (sqrt (+ (* (* c -4) a) (* b b)))) (* -2 a)) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (* (/ b (* a a)) 1/2) (/ b (* a a)) (* a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (* (* 2 a) c) b) (* (* 2 a) c) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (/ (- b (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))))) (* -2 a)) (- b (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))))) (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a) (* (* b b) a) (/ c (* (* b b) a))) |
| 4.0ms | b | @ | 0 | ((/ (- b (sqrt (+ (* (* c -4) a) (* b b)))) (* -2 a)) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (* (/ b (* a a)) 1/2) (/ b (* a a)) (* a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (* (* 2 a) c) b) (* (* 2 a) c) (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (/ (- b (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))))) (* -2 a)) (- b (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))))) (/ (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a) (* (* b b) a) (/ c (* (* b b) a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 909 | 4972 |
| 1 | 3174 | 4902 |
| 0 | 8644 | 4688 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 1/2 (/ c (* a b))) |
(/ (+ (* 1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a) |
(/ (+ (* 1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (/ (* a (pow c 3)) (pow b 5))))) a) |
(/ (+ (* 1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (/ (pow c 3) (pow b 5))))))) a) |
(* 1/2 (/ b (pow a 2))) |
(/ b (pow a 2)) |
(pow a 2) |
(* -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)))))))) |
(* 2 (* a c)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) (pow a 2)) |
(/ -1/2 (pow a 2)) |
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) (pow a 2)) |
(* 2 a) |
(* a (pow b 2)) |
(/ c (* a (pow b 2))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (* 1/4 (/ b a))) a) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (/ b a)))) a) |
(/ (+ (* -1/4 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/4 (/ b a))))) a) |
(* 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))) |
(* -1/2 (/ c (* a b))) |
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))) a) |
(* 1/2 (/ c (* a (pow b 2)))) |
(/ (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* 1/2 (* (sqrt (/ c (pow a 3))) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (/ b a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/4 b)) a)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/4 b)) a)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) a)) |
(* -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 (/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) a)) |
(* -1 (/ (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))) a)) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* 1/4 (/ b (pow a 2)))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ b (sqrt -4)))) (* 1/4 (/ 1 (pow a 2)))))) |
(+ (* -1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/4 (/ 1 (pow a 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))) |
(/ (+ (* -1/2 (/ c a)) (* 1/2 (/ (pow b 2) (pow a 2)))) b) |
(* -1 b) |
(/ (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ c a))) (pow b 2)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* 1/2 (/ c a)) (* 1/2 (/ (pow c 2) (pow b 2)))) b) |
(/ (+ (* 1/2 (/ c a)) (+ (* 1/2 (/ (pow c 2) (pow b 2))) (/ (* a (pow c 3)) (pow b 4)))) b) |
(/ (+ (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow b 6)))) (+ (* 1/2 (/ c a)) (+ (* 1/2 (/ (pow c 2) (pow b 2))) (/ (* a (pow c 3)) (pow b 4))))) 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 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2))))) |
(- (* 1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2)))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (- (* 1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* b (- (+ (* 1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ (pow c 2) (pow b 4)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -1 (* b (- (+ (* 1/2 (/ c (* a (pow b 2)))) (+ (* 1/2 (/ (pow c 2) (pow b 4))) (/ (* a (pow c 3)) (pow b 6)))) (* 1/2 (/ 1 (pow a 2)))))) |
(* -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)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* c (+ (* c (+ (* 1/2 (/ 1 (pow b 3))) (/ (* a c) (pow b 5)))) (* 1/2 (/ 1 (* a b))))) |
(* c (+ (* c (+ (* c (+ (* 1/8 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* (pow a 2) b))) (/ a (pow b 5)))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a 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)))))))) |
(+ (* -1/2 (/ c (* a b))) (* 1/2 (/ b (pow a 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 (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* 1/4 (/ b (* (pow a 2) c))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (/ b (* (pow a 2) c)))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/4 (/ b (* (pow a 2) c))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* c (- (* 1/2 (/ b (* (pow a 2) c))) (* 1/2 (/ 1 (* a b))))) |
(* c (- (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))) (* -1/4 (/ b (* (pow a 2) c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* (pow a 7) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) 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 (+ (* -1/2 (/ b (* (pow a 2) c))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* c (- (* 1/2 (/ 1 (* (pow a 2) c))) (* 1/2 (/ 1 (* a (pow b 2))))))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* 2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (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) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(* 1/2 (/ c (* a b))) |
(*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(/ (+ (* 1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (/ (* a (pow c 3)) (pow b 5))))) a) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) a) |
(/ (+ (* 1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (/ (pow c 3) (pow b 5))))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) a) |
(* 1/2 (/ b (pow a 2))) |
(*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.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 (/.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 (/.f64 c b) #s(literal -2 binary64))) a) |
(* 2 (* a c)) |
(*.f64 #s(literal 2 binary64) (*.f64 a c)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 c b)) b)) (*.f64 a a)) |
(/ -1/2 (pow a 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a a)) |
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) (pow a 2)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 a a)) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
(* a (pow b 2)) |
(*.f64 (*.f64 a b) b) |
(/ c (* a (pow b 2))) |
(/.f64 c (*.f64 (*.f64 a b) 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)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (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 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 b b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))) (* -1/4 (/ b (* (pow a 2) c)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 (/.f64 b (*.f64 a a)) c) #s(literal -1/4 binary64)))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 b (*.f64 a a)))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* (pow a 7) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.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) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64))) b) (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 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1/2 (/ b (* (pow a 2) c))) (* 1/2 (/ 1 (* a b)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b (*.f64 a a)) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
(* -1 (* c (- (* 1/2 (/ 1 (* (pow a 2) c))) (* 1/2 (/ 1 (* a (pow b 2))))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) b)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 295 |
| 0 | 77 | 264 |
| 1 | 286 | 264 |
| 2 | 1672 | 254 |
| 0 | 8776 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)) |
(/.f64 b (*.f64 a a)) |
(*.f64 a a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b) |
(*.f64 (*.f64 #s(literal 2 binary64) a) c) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) |
(neg.f64 b) |
(-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 (*.f64 b b) a) |
(/.f64 c (*.f64 (*.f64 b b) a)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -2 binary64)) a)) |
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -2 binary64)) a)) |
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal -2 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) (*.f64 a (neg.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 a (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (-.f64 (*.f64 b (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (-.f64 (*.f64 b (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) a) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a)) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 (*.f64 a a) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -2 binary64)))) (*.f64 (*.f64 a a) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a) #s(literal -2 binary64)) |
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(-.f64 (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(fabs.f64 (/.f64 (neg.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(fabs.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b b)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64))) (*.f64 (*.f64 a c) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(+.f64 (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) c) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 (neg.f64 (*.f64 a c)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 (neg.f64 (neg.f64 b)) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (neg.f64 a) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 #s(literal -2 binary64) (neg.f64 a)) |
(*.f64 a #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 a a))) (neg.f64 (-.f64 a a))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a)) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) a)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 (neg.f64 a))) a) |
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)) a) |
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) a) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a a)) (/.f64 (*.f64 a a) (-.f64 a a))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
(+.f64 a a) |
(*.f64 (*.f64 a (neg.f64 b)) (neg.f64 b)) |
(*.f64 (*.f64 a b) b) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) a)) |
(*.f64 (*.f64 b b) a) |
(*.f64 a (*.f64 b b)) |
(*.f64 b (*.f64 a b)) |
(/.f64 (neg.f64 (/.f64 c a)) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 c (*.f64 b b)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 b) b) a)))) |
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 (*.f64 a b))) |
(/.f64 (/.f64 c a) (*.f64 b b)) |
(/.f64 (neg.f64 (/.f64 c (*.f64 b b))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (*.f64 (*.f64 (neg.f64 b) b) a))) |
(/.f64 (/.f64 c b) (*.f64 a b)) |
(/.f64 (/.f64 c (*.f64 b b)) a) |
(/.f64 (neg.f64 c) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(/.f64 c (*.f64 (*.f64 b b) a)) |
(neg.f64 (/.f64 (neg.f64 c) (*.f64 (*.f64 b b) a))) |
(neg.f64 (/.f64 c (*.f64 (*.f64 (neg.f64 b) b) a))) |
Compiled 50 809 to 4 830 computations (90.5% saved)
41 alts after pruning (33 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 141 | 15 | 1 156 |
| Fresh | 8 | 18 | 26 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 150 | 41 | 1 191 |
| Status | Accuracy | Program |
|---|---|---|
| 48.9% | (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) | |
| 24.3% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) | |
| 48.7% | (/.f64 (fma.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a))) | |
| 1.5% | (/.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) | |
| 8.6% | (/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) | |
| 17.4% | (/.f64 (-.f64 (*.f64 b (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))) | |
| 25.3% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) | |
| 40.8% | (/.f64 (-.f64 b (fma.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) a)) | |
| ✓ | 40.6% | (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
| 31.6% | (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal -2 binary64) a)) | |
| 37.0% | (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (*.f64 #s(literal -2 binary64) a)) | |
| 48.9% | (/.f64 (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) a)) | |
| ✓ | 49.8% | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
| 47.7% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal -2 binary64) a)) | |
| 35.6% | (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal -2 binary64) a)) | |
| 11.0% | (/.f64 (-.f64 b #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal -2 binary64) a)) | |
| 44.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) b)) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 30.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 9.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (+.f64 a a) c) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 27.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) a) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 32.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 26.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
| 26.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 49.9% | (-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) |
| 8.5% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) a)) | |
| 8.3% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) | |
| ✓ | 9.9% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
| 0.8% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)))) (*.f64 (fma.f64 (pow.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))) (/.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 6 binary64))))) (*.f64 (fma.f64 (pow.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))) (fma.f64 (pow.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))))))) | |
| 9.7% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) a))) | |
| ✓ | 9.6% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) |
| 9.9% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) #s(approx (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (*.f64 (/.f64 c (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))) | |
| 8.4% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c b) (/.f64 b a))) a))) | |
| 9.7% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b (*.f64 a a)) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))))) | |
| 8.5% | #s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))) | |
| 33.9% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)) b)) | |
| 28.0% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) | |
| ✓ | 34.3% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
| 33.8% | #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) | |
| ✓ | 32.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 31.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
Compiled 3 563 to 1 267 computations (64.4% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) a)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) #s(approx (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (*.f64 (/.f64 c (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (+.f64 a a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (+.f64 a a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c b) (/.f64 b a))) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)) b)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
(/.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 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) a))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b (*.f64 a a)) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) b)) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (fma.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (/.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (*.f64 #s(literal -2 binary64) a)) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) |
(-.f64 (/.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)))) (*.f64 (fma.f64 (pow.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))) (/.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 6 binary64))))) (*.f64 (fma.f64 (pow.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))) (fma.f64 (pow.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) a))))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (fma.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)) b)) |
4 calls:
| 31.0ms | b |
| 18.0ms | a |
| 16.0ms | c |
| 14.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 53.5% | 3 | a |
| 86.9% | 3 | b |
| 50.1% | 1 | c |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) a)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) #s(approx (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (*.f64 (/.f64 c (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (+.f64 a a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (+.f64 a a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c b) (/.f64 b a))) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)) b)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
(/.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 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) a))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b (*.f64 a a)) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64))) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) b)) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)) b)) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) a)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) #s(approx (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (*.f64 (/.f64 c (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (+.f64 a a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (+.f64 a a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c b) (/.f64 b a))) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) a)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) #s(approx (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (*.f64 (/.f64 c (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (+.f64 a a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (+.f64 a a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c b) (/.f64 b a))) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) a)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) #s(approx (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (*.f64 (/.f64 c (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (+.f64 a a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (+.f64 a a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* (* c -4) a) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c b) (/.f64 b a))) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 b #s(approx (sqrt (+ (* (* c -4) a) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 #s(approx (neg (+ (* (/ (* c c) b) (/ a b)) c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) #s(approx (* (neg b) (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) a)) |
#s(approx (/ (/ (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) #s(approx (- (* (/ c (* (* b b) a)) 1/2) (/ 1/2 (* a a))) (*.f64 (/.f64 c (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (+.f64 a a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (+.f64 a a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) a) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
2 calls:
| 54.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.8% | 4 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 64.2% | 2 | b |
Compiled 18 to 17 computations (5.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#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 | c |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.7% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 32.7% | 1 | c |
| 32.7% | 1 | a |
| 32.7% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 7.147600758262343e-48 | 8.744833027249206e-44 |
| 23.0ms | -1.6493989362587444e+160 | -3.6577060462481816e+156 |
| 16.0ms | 197× | 0 | valid |
| 7.0ms | 25× | 2 | valid |
| 5.0ms | 34× | 1 | valid |
| 2.0ms | 26× | 0 | invalid |
Compiled 820 to 604 computations (26.3% saved)
ival-mult: 7.0ms (32.6% of total)ival-sqrt: 4.0ms (18.6% of total)ival-div: 3.0ms (14% of total)adjust: 2.0ms (9.3% of total)ival-sub: 2.0ms (9.3% of total)ival-add: 2.0ms (9.3% of total)ival-neg: 2.0ms (9.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.147600758262343e-48 | 8.744833027249206e-44 |
| 1.0ms | -1.6493989362587444e+160 | -3.6577060462481816e+156 |
Compiled 676 to 540 computations (20.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 7.147600758262343e-48 | 8.744833027249206e-44 |
| 1.0ms | -1.6493989362587444e+160 | -3.6577060462481816e+156 |
| 1.0ms | 8× | 1 | valid |
| 1.0ms | 7× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
| 0.0ms | 1× | 2 | valid |
Compiled 612 to 516 computations (15.7% saved)
ival-mult: 1.0ms (59.8% of total)ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.147600758262343e-48 | 8.744833027249206e-44 |
| 1.0ms | -1.6493989362587444e+160 | -3.6577060462481816e+156 |
Compiled 612 to 516 computations (15.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 7.147600758262343e-48 | 8.744833027249206e-44 |
| 23.0ms | -210918926.21457997 | -0.00738410657124395 |
| 19.0ms | 206× | 0 | valid |
| 3.0ms | 23× | 1 | valid |
| 3.0ms | 33× | 0 | invalid |
| 2.0ms | 11× | 2 | valid |
Compiled 812 to 668 computations (17.7% saved)
ival-mult: 9.0ms (45.5% of total)ival-div: 2.0ms (10.1% of total)ival-sub: 2.0ms (10.1% of total)ival-sqrt: 2.0ms (10.1% of total)ival-add: 2.0ms (10.1% of total)adjust: 1.0ms (5.1% of total)ival-neg: 1.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | -1.807410543846628e-279 | 8.237320403847295e-308 |
| 17.0ms | 176× | 0 | valid |
| 9.0ms | 108× | 0 | invalid |
Compiled 504 to 416 computations (17.5% saved)
ival-mult: 7.0ms (45.1% of total)ival-div: 2.0ms (12.9% of total)ival-sqrt: 2.0ms (12.9% of total)ival-add: 1.0ms (6.4% of total)ival-sub: 1.0ms (6.4% of total)ival-neg: 1.0ms (6.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 437 |
| 1 | 137 | 437 |
| 2 | 247 | 437 |
| 3 | 380 | 437 |
| 4 | 514 | 437 |
| 5 | 630 | 437 |
| 6 | 833 | 437 |
| 7 | 2657 | 437 |
| 8 | 4359 | 437 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -3800000000000000241623141714924658861188519117055285083956166304575868937593394545634824801512303558528344953002717607833479870247890897320760314337735737344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (fma.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a))) #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)) b)))) |
(if (<=.f64 b #s(literal -3800000000000000241623141714924658861188519117055285083956166304575868937593394545634824801512303558528344953002717607833479870247890897320760314337735737344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)) b)))) |
(if (<=.f64 b #s(literal -3800000000000000241623141714924658861188519117055285083956166304575868937593394545634824801512303558528344953002717607833479870247890897320760314337735737344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5784976959332365/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -3800000000000000241623141714924658861188519117055285083956166304575868937593394545634824801512303558528344953002717607833479870247890897320760314337735737344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5784976959332365/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -4438747792736361/576460752303423488 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 1478383000718271/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.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)) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -3800000000000000241623141714924658861188519117055285083956166304575868937593394545634824801512303558528344953002717607833479870247890897320760314337735737344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (fma.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a))) #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)) b)))) |
(if (<=.f64 b #s(literal -3800000000000000241623141714924658861188519117055285083956166304575868937593394545634824801512303558528344953002717607833479870247890897320760314337735737344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* -2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) c)) b)))) |
(if (<=.f64 b #s(literal -3800000000000000241623141714924658861188519117055285083956166304575868937593394545634824801512303558528344953002717607833479870247890897320760314337735737344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5784976959332365/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -3800000000000000241623141714924658861188519117055285083956166304575868937593394545634824801512303558528344953002717607833479870247890897320760314337735737344 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5784976959332365/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -4438747792736361/576460752303423488 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 1478383000718271/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 2842 |
| 1 | 1916 | 2807 |
| 2 | 7910 | 2807 |
| 0 | 8090 | 2667 |
| 0 | 977 | 5579 |
| 1 | 3517 | 5495 |
| 0 | 8296 | 5242 |
| 0 | 40 | 221 |
| 0 | 64 | 212 |
| 1 | 223 | 212 |
| 2 | 1067 | 209 |
| 0 | 10026 | 209 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 74 | 51 |
| 2 | 504 | 50 |
| 3 | 6317 | 49 |
| 0 | 8274 | 45 |
| 0 | 56 | 316 |
| 0 | 89 | 307 |
| 1 | 292 | 307 |
| 2 | 1970 | 307 |
| 0 | 8986 | 307 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
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Compiled 669 to 254 computations (62% saved)
Compiled 1 118 to 256 computations (77.1% saved)
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