
Time bar (total: 11.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 28 computations (31.7% saved)
| 2.2s | 6 884× | 1 | valid |
| 334.0ms | 1 372× | 0 | valid |
| 231.0ms | 1 210× | 0 | invalid |
ival-mult: 517.0ms (22.8% of total)ival-<: 385.0ms (17% of total)const: 331.0ms (14.6% of total)ival-sqrt: 275.0ms (12.1% of total)adjust: 195.0ms (8.6% of total)ival-div: 182.0ms (8% of total)ival-sub: 161.0ms (7.1% of total)ival-add: 119.0ms (5.3% of total)ival-neg: 47.0ms (2.1% of total)ival-and: 36.0ms (1.6% of total)exact: 15.0ms (0.7% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 243 | 2 | (53.81639232402041 1.6581844391302193e-5 1.0852634084506769e-14) | 3 | (47.89103884893218 92558704.42728204 930951894085.5203) | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 242 | 6 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 241 | 3 |
| - | 1 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 241 | 3 | 0 |
| - | 1 | 3 | 8 |
| number | freq |
|---|---|
| 0 | 14 |
| 1 | 242 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 95.0ms | 444× | 1 | valid |
| 6.0ms | 68× | 0 | valid |
Compiled 161 to 46 computations (71.4% saved)
adjust: 18.0ms (26.3% of total)ival-mult: 18.0ms (26.3% of total)ival-add: 8.0ms (11.7% of total)ival-div: 7.0ms (10.2% of total)ival-sqrt: 7.0ms (10.2% of total)ival-sub: 5.0ms (7.3% of total)ival-neg: 5.0ms (7.3% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 158 |
| 1 | 172 | 151 |
| 2 | 492 | 151 |
| 3 | 938 | 151 |
| 4 | 1378 | 151 |
| 5 | 1569 | 151 |
| 6 | 1693 | 151 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 43 | 17 |
| 2 | 98 | 17 |
| 3 | 190 | 17 |
| 4 | 289 | 17 |
| 5 | 357 | 17 |
| 6 | 381 | 17 |
| 7 | 419 | 17 |
| 8 | 457 | 17 |
| 0 | 457 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.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 |
|---|---|---|
| ▶ | 29.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 43 | 70 |
| 2 | 98 | 70 |
| 3 | 190 | 70 |
| 4 | 289 | 70 |
| 5 | 357 | 70 |
| 6 | 381 | 70 |
| 7 | 419 | 70 |
| 8 | 457 | 70 |
| 0 | 457 | 66 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 0.1015625 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| accuracy | 0.1953125 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 45.147836752224116 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 54.0ms | 222× | 1 | valid |
| 3.0ms | 34× | 0 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-mult: 12.0ms (35.8% of total)adjust: 6.0ms (17.9% of total)ival-add: 5.0ms (14.9% of total)ival-div: 3.0ms (8.9% of total)ival-sqrt: 3.0ms (8.9% of total)ival-sub: 2.0ms (6% of total)ival-neg: 1.0ms (3% 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 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) 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 | |
|---|---|---|---|---|
| 8.0ms | 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 | 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 | 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)))) |
| 3.0ms | 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))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (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 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* -4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) b) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(neg.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (/.f64 c b) b) (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))))) b (/.f64 b 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)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c b) (fma.f64 (neg.f64 a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)))) (neg.f64 b)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 b)) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (neg.f64 b)) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c)))) c) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* -1 (* 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))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) 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 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (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 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 | 73 | 51 |
| 2 | 508 | 50 |
| 3 | 6176 | 49 |
| 0 | 8751 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
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(-.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 #s(literal -4 binary64) a))) |
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(-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) |
(fabs.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) |
(hypot.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 b b)) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (*.f64 b b)) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (*.f64 b b)) |
(hypot.f64 (*.f64 (neg.f64 b) b) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (neg.f64 b) b) (neg.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(hypot.f64 (*.f64 (neg.f64 b) b) (fabs.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(hypot.f64 (*.f64 (neg.f64 b) b) (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(hypot.f64 (*.f64 (neg.f64 b) b) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(hypot.f64 (*.f64 (neg.f64 b) b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) |
(hypot.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)) (*.f64 b b)) |
(hypot.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)) |
(hypot.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (neg.f64 b) b)) |
(hypot.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 b b)) |
(hypot.f64 (*.f64 b b) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 b b) (neg.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(hypot.f64 (*.f64 b b) (fabs.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(hypot.f64 (*.f64 b b) (fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
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(hypot.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
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(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (neg.f64 b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (neg.f64 b)) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(neg.f64 b) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
Compiled 17 326 to 2 038 computations (88.2% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 440 | 18 | 458 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 441 | 18 | 459 |
| Status | Accuracy | Program |
|---|---|---|
| 29.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 29.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 29.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 2 binary64) a)) | |
| 29.2% | (/.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)) | |
| 20.9% | (/.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)) | |
| 95.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 94.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 91.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) (*.f64 #s(literal 2 binary64) a)) |
| 82.8% | (/.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)) | |
| 92.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 96.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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))) |
| 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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))) | |
| ▶ | 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
| 92.1% | #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)) | |
| ▶ | 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 95.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)) | |
| 94.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)) | |
| 91.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) |
Compiled 1 302 to 918 computations (29.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) a) a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) | |
| cost-diff | 1 | (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 2 | (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) 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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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))) | |
| cost-diff | 2 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 626 |
| 0 | 119 | 626 |
| 1 | 230 | 621 |
| 2 | 666 | 611 |
| 3 | 2889 | 601 |
| 0 | 8144 | 598 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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))) |
(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)) |
(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)))) |
(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)))) |
(*.f64 #s(literal -1/4 binary64) a) |
#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 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 20 binary64) b) |
#s(literal 20 binary64) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (neg.f64 c) c) |
(neg.f64 c) |
(pow.f64 b #s(literal 3 binary64)) |
(/.f64 (neg.f64 c) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(*.f64 (*.f64 #s(literal -4 binary64) a) c) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b) |
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) |
#s(literal -2 binary64) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a)) |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
b |
(/.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
(*.f64 c a) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) |
(*.f64 (*.f64 #s(literal -2 binary64) a) a) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 c #s(literal 3 binary64)) |
c |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(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) |
(/.f64 a b) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))) a (/.f64 (neg.f64 c) 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)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))) a (/.f64 (neg.f64 c) b)) |
(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)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))) |
(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)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) |
(*.f64 #s(literal -1/4 binary64) a) |
#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 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 20 binary64) b) |
#s(literal 20 binary64) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c)) |
(*.f64 (neg.f64 c) c) |
(neg.f64 c) |
(pow.f64 b #s(literal 3 binary64)) |
(/.f64 (neg.f64 c) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(*.f64 (*.f64 #s(literal -4 binary64) a) c) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) a a)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) a a)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) a a))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) |
(*.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) a a)) |
#s(literal -2 binary64) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a)) |
(*.f64 c (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) a a)) |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
b |
(/.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
(*.f64 c a) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) (/.f64 (/.f64 a b) b)) (neg.f64 c)) b)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) |
(/.f64 (fma.f64 (*.f64 c c) (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) (/.f64 (/.f64 a b) b)) (neg.f64 c)) b) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) |
(fma.f64 (*.f64 c c) (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) (/.f64 (/.f64 a b) b)) (neg.f64 c)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) a) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 c #s(literal 3 binary64)) |
c |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) |
(neg.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) 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) |
(/.f64 a b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) | |
| accuracy | 0.19140625 | (/.f64 (*.f64 c c) b) | |
| accuracy | 0.33203125 | (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 3.3227570761358707 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) | |
| accuracy | 0.1953125 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b) | |
| accuracy | 0.2734375 | (/.f64 (*.f64 a a) b) | |
| accuracy | 4.991833779626529 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) | |
| accuracy | 0.00390625 | (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)) | |
| accuracy | 0.0625 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) | |
| accuracy | 0.1953125 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 45.147836752224116 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) | |
| accuracy | 0.0 | (/.f64 (neg.f64 c) b) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 10.79019809410196 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| accuracy | 0.33984375 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.3678512695368841 | (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.39291000976844204 | (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 2.4448868229022347 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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))) |
| 351.0ms | 222× | 1 | valid |
| 16.0ms | 34× | 0 | valid |
Compiled 536 to 70 computations (86.9% saved)
ival-mult: 94.0ms (31.9% of total)adjust: 86.0ms (29.2% of total)ival-div: 48.0ms (16.3% of total)ival-pow: 20.0ms (6.8% of total)ival-add: 18.0ms (6.1% of total)ival-sub: 15.0ms (5.1% of total)ival-sqrt: 7.0ms (2.4% of total)ival-neg: 4.0ms (1.4% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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))) |
(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)) |
(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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) |
(*.f64 (*.f64 #s(literal -2 binary64) a) a) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(/.f64 (*.f64 a a) b) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (*.f64 c c) b) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))) |
(+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))) |
(* -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)))))))) |
(* a c) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c) |
(* -2 (pow a 2)) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (pow a 2) b) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* 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)))))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3))))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow c 3) (pow b 5))) (/ (pow c 2) (* a (pow b 3)))) 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 a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a)))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(+ (* 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))))) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* -2 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(+ (* -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))))))))) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 4)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5)) |
(* -2 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 2) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2))) (pow b 3)) |
(/ (+ (* -5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2)))) (pow b 3)) |
(/ (+ (* -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))))))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (pow c 2)) (pow b 3))) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (pow c 2))) (pow b 3))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) |
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) |
(* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (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)))))))) |
(+ 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 (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1)) |
(* 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))))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c)))) (/ 1 (* (pow b 3) (pow c 2))))) |
(* 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)))))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c))))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c)))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))) c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (/ a (* (pow b 2) c))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c)))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | a | @ | inf | ((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 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)))) (neg b) (sqrt (+ (* b b) (* (* -4 a) c))) (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (* (* -2 a) a) (/ (* (pow c 3) -2) (pow b 5)) (/ (* (neg c) c) (pow b 3)) (/ (pow c 4) (pow b 6)) (+ (* b b) (* (* -4 a) c)) (/ (* a a) b) (/ (pow c 3) (pow b 4)) (/ (* c c) b)) |
| 31.0ms | b | @ | inf | ((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 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)))) (neg b) (sqrt (+ (* b b) (* (* -4 a) c))) (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (* (* -2 a) a) (/ (* (pow c 3) -2) (pow b 5)) (/ (* (neg c) c) (pow b 3)) (/ (pow c 4) (pow b 6)) (+ (* b b) (* (* -4 a) c)) (/ (* a a) b) (/ (pow c 3) (pow b 4)) (/ (* c c) b)) |
| 27.0ms | c | @ | 0 | ((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 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)))) (neg b) (sqrt (+ (* b b) (* (* -4 a) c))) (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (* (* -2 a) a) (/ (* (pow c 3) -2) (pow b 5)) (/ (* (neg c) c) (pow b 3)) (/ (pow c 4) (pow b 6)) (+ (* b b) (* (* -4 a) c)) (/ (* a a) b) (/ (pow c 3) (pow b 4)) (/ (* c c) b)) |
| 12.0ms | b | @ | -inf | ((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 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)))) (neg b) (sqrt (+ (* b b) (* (* -4 a) c))) (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (* (* -2 a) a) (/ (* (pow c 3) -2) (pow b 5)) (/ (* (neg c) c) (pow b 3)) (/ (pow c 4) (pow b 6)) (+ (* b b) (* (* -4 a) c)) (/ (* a a) b) (/ (pow c 3) (pow b 4)) (/ (* c c) b)) |
| 10.0ms | c | @ | inf | ((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 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)))) (neg b) (sqrt (+ (* b b) (* (* -4 a) c))) (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (* (* -2 a) a) (/ (* (pow c 3) -2) (pow b 5)) (/ (* (neg c) c) (pow b 3)) (/ (pow c 4) (pow b 6)) (+ (* b b) (* (* -4 a) c)) (/ (* a a) b) (/ (pow c 3) (pow b 4)) (/ (* c c) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 874 | 4879 |
| 1 | 3101 | 4808 |
| 0 | 8578 | 4604 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))) |
(+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))) |
(* -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)))))))) |
(* a c) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c) |
(* -2 (pow a 2)) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (pow a 2) b) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* 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)))))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3))))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow c 3) (pow b 5))) (/ (pow c 2) (* a (pow b 3)))) 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 a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a)))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(+ (* 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))))) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* -2 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(+ (* -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))))))))) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 4)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5)) |
(* -2 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 2) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2))) (pow b 3)) |
(/ (+ (* -5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2)))) (pow b 3)) |
(/ (+ (* -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))))))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (pow c 2)) (pow b 3))) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (pow c 2))) (pow b 3))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) |
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) |
(* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (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)))))))) |
(+ 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 (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1)) |
(* 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))))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c)))) (/ 1 (* (pow b 3) (pow c 2))))) |
(* 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)))))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c))))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c)))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))) c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (/ a (* (pow b 2) c))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c)))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(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)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5 binary64) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -1 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64))) |
(+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))) |
(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)))) |
(+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -5 binary64) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 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)))) |
(* -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 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
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b |
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(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))) (neg.f64 c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c)) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))) c)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) c)) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* -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 #s(literal 1 binary64) (*.f64 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 -1/64 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)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (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)))) (+ (* 1/4 (* (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 (*.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 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (/ a (* (pow b 2) c))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 a (*.f64 b b)) c))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 (/.f64 a (*.f64 b b)) c)))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) c)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 a #s(literal 4 binary64) (/.f64 (*.f64 (neg.f64 b) b) c))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 458 |
| 0 | 119 | 458 |
| 1 | 421 | 441 |
| 2 | 3156 | 437 |
| 0 | 9540 | 433 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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))) |
(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)) |
(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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) b) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) |
(*.f64 (*.f64 #s(literal -2 binary64) a) a) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(/.f64 (*.f64 a a) b) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (*.f64 c c) b) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 20 binary64) b) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 20 binary64) b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 20 binary64) b) (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) b) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 b)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) b)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 20 binary64) b) (neg.f64 (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -20 binary64)) (neg.f64 b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) b)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (*.f64 #s(literal -20 binary64) (neg.f64 (pow.f64 c #s(literal 4 binary64)))) (*.f64 (neg.f64 b) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (*.f64 #s(literal -20 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 (neg.f64 b) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (*.f64 #s(literal 20 binary64) (neg.f64 (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) #s(literal -20 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -20 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (neg.f64 b))) |
(/.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) b) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) b) |
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
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(*.f64 (*.f64 c c) (pow.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))))) |
(*.f64 (neg.f64 c) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) |
(pow.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 c c) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 c) c) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (neg.f64 c) c)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
(fabs.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 (log.f64 b) #s(literal 3 binary64))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (*.f64 (log.f64 b) #s(literal 6 binary64)))) |
(+.f64 (cosh.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (*.f64 (log.f64 b) #s(literal 6 binary64)))) (sinh.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (*.f64 (log.f64 b) #s(literal 6 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal -4 binary64)) (*.f64 a c))))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64))) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 c) (*.f64 a #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 c) (*.f64 a #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 c) (*.f64 a #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 (neg.f64 c) (*.f64 a #s(literal 4 binary64)))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) |
(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 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b))) |
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b (neg.f64 b))) |
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 #s(literal -4 binary64) a))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c)) |
(fabs.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(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 (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 (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 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 a #s(literal 4 binary64)))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(*.f64 (neg.f64 a) (/.f64 (neg.f64 a) b)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (*.f64 (neg.f64 a) a) (neg.f64 b)) |
(/.f64 (*.f64 a a) (neg.f64 (neg.f64 b))) |
(/.f64 (*.f64 a a) b) |
(neg.f64 (/.f64 (*.f64 (neg.f64 a) a) b)) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 a) a) b)) |
(fabs.f64 (/.f64 (*.f64 a a) b)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (*.f64 b b))) (neg.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (*.f64 b b)))) |
(*.f64 (fabs.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (*.f64 b b))) (fabs.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (*.f64 b b)))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (*.f64 b b)) (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (*.f64 b b))) |
(*.f64 (/.f64 c (*.f64 b b)) (pow.f64 (/.f64 c b) #s(literal 2 binary64))) |
(*.f64 (pow.f64 c #s(literal 3/2 binary64)) (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) (/.f64 c (*.f64 b b))) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 c (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64)))) |
(pow.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (*.f64 b b)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 b b)) (*.f64 b b)) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (neg.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 4 binary64)))) |
(+.f64 (cosh.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 4 binary64)))) (sinh.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 4 binary64))))) |
(*.f64 (/.f64 c b) c) |
(*.f64 (neg.f64 c) (/.f64 (neg.f64 c) b)) |
(*.f64 c (/.f64 c b)) |
(/.f64 (*.f64 c c) (neg.f64 (neg.f64 b))) |
(/.f64 (*.f64 c c) b) |
(/.f64 (*.f64 (neg.f64 c) c) (neg.f64 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)) |
Compiled 46 882 to 3 889 computations (91.7% saved)
35 alts after pruning (33 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 714 | 29 | 743 |
| Fresh | 9 | 4 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 726 | 35 | 761 |
| Status | Accuracy | Program |
|---|---|---|
| 30.7% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) | |
| 30.7% | (/.f64 (fma.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 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) | |
| 30.9% | (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a) (*.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 #s(literal 2 binary64) a))) | |
| 30.6% | (/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) | |
| 30.1% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| 30.4% | (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.9% | (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) 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 #s(literal 2 binary64) a)) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) | |
| 29.8% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 30.4% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) | |
| 28.8% | (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) 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 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))))) | |
| 29.3% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 29.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 29.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 2 binary64) a)) | |
| 29.2% | (/.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)) | |
| ▶ | 91.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) |
| 91.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 91.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 c b) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) (*.f64 a a)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 91.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (*.f64 #s(literal 2 binary64) a)) |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 82.8% | (/.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)) |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.9% | (+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) | |
| ▶ | 96.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
| 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c) (neg.f64 b))) | |
| 94.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 c #s(literal 3 binary64))) b (*.f64 (pow.f64 b #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c)))) (pow.f64 b #s(literal 6 binary64)))) | |
| ▶ | 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
| ✓ | 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 94.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 a (*.f64 b b))) c) #s(literal 1 binary64)) c)) b)) | |
| 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) | |
| 94.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)) | |
| 91.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) | |
| 94.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (neg.f64 (fma.f64 (*.f64 b c) b (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))))) | |
| 95.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (neg.f64 (fma.f64 (*.f64 b c) b (*.f64 (*.f64 c c) a))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) | |
| 95.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c))) |
Compiled 3 034 to 1 904 computations (37.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) | |
| cost-diff | 2 | (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 2 | (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c)) | |
| 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 | (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 998 |
| 0 | 151 | 990 |
| 1 | 319 | 972 |
| 2 | 1106 | 962 |
| 3 | 4646 | 956 |
| 0 | 8129 | 945 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) |
#s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) |
(*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) |
#s(literal -5 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 a a) |
a |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) |
(*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) |
#s(literal -2 binary64) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c)) |
(*.f64 (neg.f64 b) b) |
(neg.f64 b) |
b |
(*.f64 c c) |
(*.f64 b b) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b) |
(*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) |
#s(literal -2 binary64) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c)) |
(*.f64 c c) |
c |
(/.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
(*.f64 a c) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) |
#s(literal -2 binary64) |
#s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)) |
(fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) |
(/.f64 a b) |
a |
b |
(/.f64 a c) |
c |
(*.f64 c c) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) |
(*.f64 (*.f64 #s(literal -2 binary64) a) a) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 c c) |
c |
(/.f64 c (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(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 a b) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -5 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) c) (neg.f64 c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) a)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -5 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) c) (neg.f64 c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) a)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) |
#s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -5 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) c) (neg.f64 c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) a)))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -5 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) c) (neg.f64 c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) a)))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal -5 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) c) (neg.f64 c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) a)))) |
(*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -5 binary64)) |
#s(literal -5 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 a a) |
a |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b)) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) c) (neg.f64 c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) a))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) |
(fma.f64 (*.f64 (*.f64 b b) c) (neg.f64 c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) a)) |
(*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c)) |
(*.f64 (*.f64 (*.f64 b b) c) (neg.f64 c)) |
(*.f64 (neg.f64 b) b) |
(neg.f64 b) |
b |
(*.f64 c c) |
(*.f64 b b) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 a b) a) c))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 a b) a) c))) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 a b) a) c)) |
(*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) |
(*.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 a b) a)) |
#s(literal -2 binary64) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c)) |
(*.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 a b) a) c) |
(*.f64 c c) |
c |
(/.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 (/.f64 (/.f64 a b) b) a) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
(*.f64 a c) |
(*.f64 c a) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c))))) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) |
(*.f64 (/.f64 #s(literal -2 binary64) b) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c)))) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) |
(*.f64 #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c))) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c))) |
#s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c)) |
(fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) |
(fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) |
(/.f64 a b) |
a |
b |
(/.f64 a c) |
c |
(*.f64 c c) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) a) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) |
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) a) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) |
(fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) a) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) |
(*.f64 (*.f64 #s(literal -2 binary64) a) a) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 c c) |
c |
(/.f64 c (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(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 a b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19140625 | (/.f64 (*.f64 c c) b) | |
| accuracy | 0.24609375 | (/.f64 c (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 0.32650375976844204 | (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) | |
| accuracy | 3.3227570761358707 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) | |
| accuracy | 0.1953125 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) | |
| accuracy | 0.34765625 | (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)) | |
| accuracy | 4.991833779626529 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) | |
| accuracy | 0.1953125 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b) | |
| accuracy | 0.3125 | (/.f64 (*.f64 a a) (*.f64 b b)) | |
| accuracy | 4.991833779626529 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) a) | |
| accuracy | 0.1953125 | (/.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 | 0.2578125 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| accuracy | 10.801753976616762 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| accuracy | 0.33203125 | (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) | |
| accuracy | 0.34603500976844204 | (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b)) | |
| accuracy | 0.3515625 | (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c)) | |
| accuracy | 2.4448868229022347 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
| 878.0ms | 222× | 1 | valid |
| 19.0ms | 34× | 0 | valid |
Compiled 678 to 89 computations (86.9% saved)
adjust: 571.0ms (68.3% of total)ival-mult: 157.0ms (18.8% of total)ival-div: 47.0ms (5.6% of total)ival-add: 25.0ms (3% of total)ival-pow: 24.0ms (2.9% of total)ival-sqrt: 4.0ms (0.5% of total)ival-neg: 4.0ms (0.5% of total)ival-sub: 2.0ms (0.2% of total)exact: 1.0ms (0.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) |
#s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#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)) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) |
(*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c)) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b)) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)) |
(/.f64 c (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (*.f64 c c) b) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))) |
(+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))) |
(* -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)) |
(* a c) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* -2 (* a c)) |
(* a (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c) |
(* -1 (* (pow b 4) (pow c 2))) |
(+ (* -2 (* a (* (pow b 2) (pow c 3)))) (* -1 (* (pow b 4) (pow c 2)))) |
(* 2 a) |
(/ (pow a 2) (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)))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3))))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2))))) |
(* -2 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -2 (* (pow b 2) (pow c 3))) (* -1 (/ (* (pow b 4) (pow c 2)) a)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow c 3) (pow b 5))) (/ (pow c 2) (* a (pow b 3)))) 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)))))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a)))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a)))) |
(* -1 (* a (+ (* 2 (* (pow b 2) (pow c 3))) (/ (* (pow b 4) (pow c 2)) 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))))) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* -2 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(+ (* -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))) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (pow c 3) (pow b 4)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 4)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4)) |
(* -1 (* (pow b 2) (pow c 2))) |
(* (pow b 2) (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2))))) |
(/ c (pow b 4)) |
(/ (pow c 2) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2))) (pow b 3)) |
(/ (+ (* -5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2)))) (pow b 3)) |
(/ (+ (* -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) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* (pow b 4) (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 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)))))) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (pow c 2)) (pow b 3))) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (pow c 2))) (pow b 3))) |
(* -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 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) |
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) |
(* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (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 (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1)) |
(* (pow c 2) (+ (* -2 (* a (* (pow b 2) c))) (* -1 (pow b 4)))) |
(* 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))))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c)))) (/ 1 (* (pow b 3) (pow c 2))))) |
(* 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) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a c)) (* -2 (/ (pow a 2) (pow b 2))))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2))))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c))))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c)))) |
(* (pow c 3) (+ (* -2 (* a (pow b 2))) (* -1 (/ (pow b 4) 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))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))) c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (/ a (* (pow b 2) c))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c)))))) |
(* -1 (* (pow c 3) (+ (* 2 (* a (pow b 2))) (/ (pow b 4) c)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | a | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (* (* -5 (pow c 4)) (* a a)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b))) (pow b 7)) (/ (+ (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) (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (* (* c c) (/ c (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (* (* -2 a) a) (* (* c c) (/ c (pow b 4)))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (+ (* (* (* -2 a) a) (* (* c c) (/ c (pow b 4)))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (* (* (neg b) b) (* c c)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (* 2 a) (/ (* a a) (* b b)) (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/ c (pow b 4)) (/ (* c c) b)) |
| 30.0ms | b | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (* (* -5 (pow c 4)) (* a a)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b))) (pow b 7)) (/ (+ (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) (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (* (* c c) (/ c (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (* (* -2 a) a) (* (* c c) (/ c (pow b 4)))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (+ (* (* (* -2 a) a) (* (* c c) (/ c (pow b 4)))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (* (* (neg b) b) (* c c)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (* 2 a) (/ (* a a) (* b b)) (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/ c (pow b 4)) (/ (* c c) b)) |
| 17.0ms | c | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (* (* -5 (pow c 4)) (* a a)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b))) (pow b 7)) (/ (+ (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) (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (* (* c c) (/ c (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (* (* -2 a) a) (* (* c c) (/ c (pow b 4)))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (+ (* (* (* -2 a) a) (* (* c c) (/ c (pow b 4)))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (* (* (neg b) b) (* c c)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (* 2 a) (/ (* a a) (* b b)) (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/ c (pow b 4)) (/ (* c c) b)) |
| 12.0ms | b | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (* (* -5 (pow c 4)) (* a a)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b))) (pow b 7)) (/ (+ (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) (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (* (* c c) (/ c (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (* (* -2 a) a) (* (* c c) (/ c (pow b 4)))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (+ (* (* (* -2 a) a) (* (* c c) (/ c (pow b 4)))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (* (* (neg b) b) (* c c)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (* 2 a) (/ (* a a) (* b b)) (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/ c (pow b 4)) (/ (* c c) b)) |
| 7.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (* (* -5 (pow c 4)) (* a a)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b))) (pow b 7)) (/ (+ (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) (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (* (* c c) (/ c (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (* (* -2 a) a) (* (* c c) (/ c (pow b 4)))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (+ (* (* (* -2 a) a) (* (* c c) (/ c (pow b 4)))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (* (* (neg b) b) (* c c)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (* 2 a) (/ (* a a) (* b b)) (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/ c (pow b 4)) (/ (* c c) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 803 | 4089 |
| 1 | 2854 | 4009 |
| 0 | 9146 | 3861 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))) |
(+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))) |
(* -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)) |
(* a c) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* -2 (* a c)) |
(* a (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c) |
(* -1 (* (pow b 4) (pow c 2))) |
(+ (* -2 (* a (* (pow b 2) (pow c 3)))) (* -1 (* (pow b 4) (pow c 2)))) |
(* 2 a) |
(/ (pow a 2) (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)))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3))))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2))))) |
(* -2 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -2 (* (pow b 2) (pow c 3))) (* -1 (/ (* (pow b 4) (pow c 2)) a)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow c 3) (pow b 5))) (/ (pow c 2) (* a (pow b 3)))) 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)))))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a)))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a)))) |
(* -1 (* a (+ (* 2 (* (pow b 2) (pow c 3))) (/ (* (pow b 4) (pow c 2)) 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))))) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* -2 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(+ (* -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))) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (pow c 3) (pow b 4)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 4)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4)) |
(* -1 (* (pow b 2) (pow c 2))) |
(* (pow b 2) (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2))))) |
(/ c (pow b 4)) |
(/ (pow c 2) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2))) (pow b 3)) |
(/ (+ (* -5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2)))) (pow b 3)) |
(/ (+ (* -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) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* (pow b 4) (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 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)))))) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (pow c 2)) (pow b 3))) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (pow c 2))) (pow b 3))) |
(* -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 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) |
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) |
(* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (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 (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1)) |
(* (pow c 2) (+ (* -2 (* a (* (pow b 2) c))) (* -1 (pow b 4)))) |
(* 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))))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c)))) (/ 1 (* (pow b 3) (pow c 2))))) |
(* 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) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a c)) (* -2 (/ (pow a 2) (pow b 2))))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2))))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c))))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c)))) |
(* (pow c 3) (+ (* -2 (* a (pow b 2))) (* -1 (/ (pow b 4) 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))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))) c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (/ a (* (pow b 2) c))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c)))))) |
(* -1 (* (pow c 3) (+ (* 2 (* a (pow b 2))) (/ (pow b 4) c)))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 #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 #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)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5 binary64) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -1 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64))) |
(+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))) |
(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)))) |
(+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -5 binary64) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 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)))) |
(* -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 a #s(literal -4 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.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 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* -2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) a) |
(* -2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -2 binary64)) |
(* a (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) |
(*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) |
(* -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) |
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c) |
(-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 c b) (/.f64 c b))) a) c) |
(* -1 (* (pow b 4) (pow c 2))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) c) c) |
(+ (* -2 (* a (* (pow b 2) (pow c 3)))) (* -1 (* (pow b 4) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
(/ (pow a 2) (pow b 2)) |
(*.f64 (/.f64 a b) (/.f64 a b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(*.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))))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -5 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64)))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 (*.f64 (/.f64 c a) (/.f64 c a)) (neg.f64 (pow.f64 b #s(literal 3 binary64)))))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (neg.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 c (*.f64 a a)) (/.f64 c (*.f64 (pow.f64 a #s(literal 3 binary64)) b)))))) (pow.f64 a #s(literal 3 binary64))) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(*.f64 (*.f64 (*.f64 a a) #s(literal -5 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64)))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (*.f64 a a)) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 (*.f64 (/.f64 c a) (/.f64 c a)) (neg.f64 (pow.f64 b #s(literal 3 binary64)))))) (*.f64 a 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))) |
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(*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (*.f64 (pow.f64 b #s(literal 3 binary64)) c))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (*.f64 (pow.f64 b #s(literal 3 binary64)) c))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c b) c))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (*.f64 (*.f64 b b) c))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))) (neg.f64 c))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 3) (+ (* -2 (* a (pow b 2))) (* -1 (/ (pow b 4) c)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) b (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) c)) (pow.f64 c #s(literal 3 binary64))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))) (neg.f64 c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c)) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))) c)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) c)) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* -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 #s(literal 1 binary64) (*.f64 c a))) (*.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 -1/64 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)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) c)) (neg.f64 c)))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (/ a (* (pow b 2) c))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 a (*.f64 b b)) c))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 (/.f64 a (*.f64 b b)) c)))) |
(* -1 (* (pow c 3) (+ (* 2 (* a (pow b 2))) (/ (pow b 4) c)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) c))) (pow.f64 c #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 763 |
| 0 | 151 | 728 |
| 1 | 557 | 711 |
| 2 | 4142 | 699 |
| 0 | 8509 | 677 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) |
#s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#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)) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) |
(*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c)) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b)) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)) |
(/.f64 c (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (*.f64 c c) b) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -5 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -5 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) (pow.f64 b #s(literal 7 binary64)))) a) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 c) b) (*.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -5 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) (pow.f64 b #s(literal 7 binary64)))) a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -5 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) (pow.f64 b #s(literal 7 binary64)))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 c b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -5 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) (pow.f64 b #s(literal 7 binary64)))) a) (/.f64 (neg.f64 c) b)))) |
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(fma.f64 (/.f64 (*.f64 c c) b) (*.f64 (/.f64 a b) a) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (/.f64 (*.f64 c c) b) (*.f64 (/.f64 a b) a) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (/.f64 a c) (*.f64 c c) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (/.f64 a b) a) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (*.f64 (/.f64 a b) a) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 c c) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 c c) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (/.f64 a b) (*.f64 (/.f64 (*.f64 c c) b) a) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (/.f64 a b) (*.f64 (/.f64 (*.f64 c c) b) a) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (neg.f64 c) (*.f64 (neg.f64 c) (pow.f64 (/.f64 a b) #s(literal 2 binary64))) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (neg.f64 c) (*.f64 (neg.f64 c) (pow.f64 (/.f64 a b) #s(literal 2 binary64))) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (*.f64 c c) (/.f64 a c) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) |
(fma.f64 (*.f64 c c) (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (*.f64 c c) (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 c (*.f64 (/.f64 c b) (*.f64 (/.f64 a b) a)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 c (*.f64 (/.f64 c b) (*.f64 (/.f64 a b) a)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 c (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) c) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 c (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) c) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 a b) b) (*.f64 c c)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 a b) b) (*.f64 c c)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 a (*.f64 (*.f64 (/.f64 a b) c) (/.f64 c b)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 a (*.f64 (*.f64 (/.f64 a b) c) (/.f64 c b)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(+.f64 (*.f64 (/.f64 a c) (*.f64 c c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 c c) (/.f64 a c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(+.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(/.f64 (/.f64 c (*.f64 b b)) (*.f64 b b)) |
(/.f64 (neg.f64 c) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 c (neg.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 c (pow.f64 b #s(literal 4 binary64))) |
(neg.f64 (/.f64 (neg.f64 c) (pow.f64 b #s(literal 4 binary64)))) |
(neg.f64 (/.f64 c (neg.f64 (pow.f64 b #s(literal 4 binary64))))) |
(*.f64 (/.f64 c b) c) |
(*.f64 (fabs.f64 c) (/.f64 (fabs.f64 c) b)) |
(*.f64 (neg.f64 c) (/.f64 (neg.f64 c) b)) |
(*.f64 c (/.f64 c b)) |
(/.f64 (*.f64 c c) (neg.f64 (neg.f64 b))) |
(/.f64 (*.f64 c c) b) |
(/.f64 (*.f64 (neg.f64 c) c) (neg.f64 b)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 c) c) b)) |
(neg.f64 (/.f64 (*.f64 c c) (neg.f64 b))) |
Compiled 38 220 to 3 735 computations (90.2% saved)
37 alts after pruning (35 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 641 | 11 | 652 |
| Fresh | 4 | 24 | 28 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 650 | 37 | 687 |
| Status | Accuracy | Program |
|---|---|---|
| 30.7% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) | |
| 30.7% | (/.f64 (fma.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 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) | |
| 30.9% | (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a) (*.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 #s(literal 2 binary64) a))) | |
| 30.6% | (/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) | |
| 30.1% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| 30.4% | (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.9% | (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) 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 #s(literal 2 binary64) a)) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) | |
| 29.8% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 30.4% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) | |
| 28.8% | (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) 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 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))))) | |
| 29.3% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 29.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 29.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 2 binary64) a)) | |
| 29.2% | (/.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)) | |
| 82.9% | (/.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)) | |
| 91.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (+.f64 a a)) | |
| 91.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) (*.f64 a a)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 91.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (+.f64 a a)) |
| ▶ | 91.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 #s(approx (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
| 82.8% | (/.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)) | |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.9% | (+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) | |
| ▶ | 96.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
| 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b))) | |
| 94.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 c #s(literal 3 binary64))) b (*.f64 (pow.f64 b #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c)))) (pow.f64 b #s(literal 6 binary64)))) | |
| 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 (/.f64 c (*.f64 b b)) (*.f64 b b))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) | |
| ✓ | 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 94.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 a (*.f64 b b))) c) #s(literal 1 binary64)) c)) b)) | |
| 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) | |
| 94.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)) | |
| ▶ | 91.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) |
| 94.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (neg.f64 (fma.f64 (*.f64 b c) b (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))))) | |
| 95.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (neg.f64 (fma.f64 (*.f64 c b) b (*.f64 (*.f64 c c) a))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) | |
| 95.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c))) |
Compiled 3 214 to 2 002 computations (37.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) | |
| cost-diff | 0 | (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (+.f64 a a)) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) 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 a a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 1139 |
| 0 | 159 | 1139 |
| 1 | 320 | 1100 |
| 2 | 1047 | 1100 |
| 3 | 5301 | 1094 |
| 0 | 8300 | 1083 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) |
#s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) |
(*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) |
#s(literal -5 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 a a) |
a |
#s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) |
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) |
#s(literal -2 binary64) |
(*.f64 (*.f64 b b) c) |
(*.f64 b b) |
b |
(neg.f64 (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a 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 a a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) |
#s(literal -2 binary64) |
#s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c)) |
(*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c) |
(fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) |
(*.f64 a a) |
a |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (+.f64 a a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) |
#s(literal -2 binary64) |
#s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)) |
(fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) |
(/.f64 a b) |
a |
b |
(/.f64 a c) |
c |
(*.f64 c c) |
(+.f64 a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) |
(*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c) |
(-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
(neg.f64 c) |
c |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
a |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c b) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c b) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) |
#s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c b) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c b) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c b) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) |
(*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -5 binary64)) |
#s(literal -5 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 a a) |
a |
#s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c)) |
#s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c b) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c b) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c b) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) |
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c b) (neg.f64 (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) |
(*.f64 (*.f64 c (*.f64 b b)) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 (*.f64 b b) c) |
(*.f64 c (*.f64 b b)) |
(*.f64 b b) |
b |
(neg.f64 (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a 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 a a) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a a) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a a) a) c)))) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b) |
(*.f64 (/.f64 #s(literal -2 binary64) b) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a a) a) c))) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) |
(*.f64 #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a a) a) c)) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c)) |
#s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a a) a) c)) |
(*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c) |
(*.f64 (fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a a) a) c) |
(fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) |
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a a) a) |
(*.f64 a a) |
a |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c))))) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) |
(*.f64 (/.f64 #s(literal -2 binary64) b) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c)))) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) |
(*.f64 #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c))) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c))) |
#s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) (*.f64 c c)) |
(fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) |
(fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a c)) |
(/.f64 a b) |
a |
b |
(/.f64 a c) |
c |
(*.f64 c c) |
(+.f64 a a) |
(*.f64 #s(literal 2 binary64) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) |
(*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c) |
(*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c) |
(-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
(neg.f64 c) |
c |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
a |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25 | (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c) | |
| accuracy | 0.25390625 | (/.f64 a (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.25390625 | (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) | |
| accuracy | 4.989480063648867 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) | |
| accuracy | 0.1953125 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (+.f64 a a)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) | |
| accuracy | 0.34765625 | (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)) | |
| accuracy | 4.991833779626529 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) | |
| accuracy | 0.1953125 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b) | |
| accuracy | 0.2421875 | (/.f64 c (*.f64 b b)) | |
| accuracy | 4.991833779626529 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) | |
| accuracy | 0.0 | (*.f64 (/.f64 a b) #s(literal -2 binary64)) | |
| accuracy | 0.1953125 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| accuracy | 10.801753976616762 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| accuracy | 0.25 | (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) | |
| accuracy | 0.27734375 | (*.f64 (*.f64 b b) c) | |
| accuracy | 0.33203125 | (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64))) | |
| accuracy | 2.4448868229022347 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
| 325.0ms | 222× | 1 | valid |
| 19.0ms | 34× | 0 | valid |
Compiled 647 to 98 computations (84.9% saved)
ival-mult: 101.0ms (35.3% of total)ival-div: 78.0ms (27.3% of total)adjust: 48.0ms (16.8% of total)ival-pow: 23.0ms (8% of total)ival-add: 22.0ms (7.7% of total)ival-sub: 4.0ms (1.4% of total)ival-neg: 4.0ms (1.4% of total)ival-sqrt: 3.0ms (1% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) |
#s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (+.f64 a a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) |
(*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c) |
(-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (*.f64 b b) c) |
(*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) |
(/.f64 c (*.f64 b b)) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))) |
(+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))) |
(* -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)) |
(* -2 (* a c)) |
(* a (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) |
(/ -1 b) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(* -1 (/ (* a c) (pow b 3))) |
(* a c) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(/ a (pow b 3)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow c 3) (pow b 5))) (/ (pow c 2) (* a (pow b 3)))) 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 (+ (/ 1 (* a b)) (/ c (pow b 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))))) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* -2 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(+ (* -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))) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3)) |
(* (pow b 2) c) |
(/ c (pow b 2)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (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) |
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2))) (pow b 3)) |
(/ (+ (* -5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2)))) (pow b 3)) |
(/ (+ (* -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) |
(+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (pow c 2)) (pow b 3))) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (pow c 2))) (pow b 3))) |
(* -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 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) |
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) |
(* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (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 (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2))))) |
(* -5 (pow c 4)) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c)))) (/ 1 (* (pow b 3) (pow c 2))))) |
(* 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) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a c)) (* -2 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))) c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | c | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (* (* -5 (pow c 4)) (* a a)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) b) (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) c) (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (* (neg c) (/ a (pow b 3))) (* (* b b) c) (* -5 (pow c 4)) (/ c (* b b)) (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/ a (pow b 3))) |
| 15.0ms | b | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (* (* -5 (pow c 4)) (* a a)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) b) (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) c) (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (* (neg c) (/ a (pow b 3))) (* (* b b) c) (* -5 (pow c 4)) (/ c (* b b)) (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/ a (pow b 3))) |
| 8.0ms | b | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (* (* -5 (pow c 4)) (* a a)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) b) (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) c) (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (* (neg c) (/ a (pow b 3))) (* (* b b) c) (* -5 (pow c 4)) (/ c (* b b)) (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/ a (pow b 3))) |
| 5.0ms | c | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (* (* -5 (pow c 4)) (* a a)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) b) (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) c) (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (* (neg c) (/ a (pow b 3))) (* (* b b) c) (* -5 (pow c 4)) (/ c (* b b)) (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/ a (pow b 3))) |
| 5.0ms | b | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/ (+ (* (* -5 (pow c 4)) (* a a)) (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) b) (* -2 (+ (* (* c c) (/ (* a a) (* b b))) (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) c) (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (* (neg c) (/ a (pow b 3))) (* (* b b) c) (* -5 (pow c 4)) (/ c (* b b)) (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/ a (pow b 3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 722 | 3484 |
| 1 | 2558 | 3424 |
| 0 | 8971 | 3287 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))) |
(+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))) |
(* -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)) |
(* -2 (* a c)) |
(* a (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) |
(/ -1 b) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(* -1 (/ (* a c) (pow b 3))) |
(* a c) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(/ a (pow b 3)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow c 3) (pow b 5))) (/ (pow c 2) (* a (pow b 3)))) 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 (+ (/ 1 (* a b)) (/ c (pow b 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))))) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* -2 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(+ (* -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))) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3)) |
(* (pow b 2) c) |
(/ c (pow b 2)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (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) |
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2))) (pow b 3)) |
(/ (+ (* -5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2)))) (pow b 3)) |
(/ (+ (* -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) |
(+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (pow c 2)) (pow b 3))) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (pow c 2))) (pow b 3))) |
(* -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 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) |
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) |
(* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (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 (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2))))) |
(* -5 (pow c 4)) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c)))) (/ 1 (* (pow b 3) (pow c 2))))) |
(* 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) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a c)) (* -2 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))) c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
| 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 #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)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5 binary64) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -1 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64))) |
(+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))) |
(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)))) |
(+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -5 binary64) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 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)))) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.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 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* -2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(* -2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -2 binary64)) |
(* a (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) |
(*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(* -1 (/ (* a c) (pow b 3))) |
(*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) a) |
(/ a (pow b 3)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(* 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)))))) |
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(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) (neg.f64 c))) (neg.f64 c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c)) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))) c)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) c)) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(*.f64 (neg.f64 c) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 827 |
| 0 | 159 | 806 |
| 1 | 585 | 773 |
| 2 | 4202 | 761 |
| 0 | 8489 | 735 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b)) |
#s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (+.f64 a a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b) |
(*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) |
(*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c) |
(-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (*.f64 b b) c) |
(*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) |
(/.f64 c (*.f64 b b)) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 b b))) c (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 b b))) c (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64)))) a) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 c) b) (*.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 b b))) c (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64)))) a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 b b))) c (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64)))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 c b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 b b))) c (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64)))) a) (/.f64 (neg.f64 c) b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 b b))) c (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64)))) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) b) (-.f64 (/.f64 (neg.f64 c) b) (*.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 b b))) c (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64)))) a)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) #s(literal -5 binary64) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 b b))) c (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 c c)))) (pow.f64 b #s(literal 7 binary64)))) a) #s(literal 2 binary64))))) |
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(fma.f64 (fabs.f64 c) (*.f64 (fabs.f64 c) (pow.f64 (/.f64 a b) #s(literal 2 binary64))) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (fabs.f64 (/.f64 a b)) (*.f64 (fabs.f64 (/.f64 a b)) (*.f64 c c)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (fabs.f64 (/.f64 a b)) (*.f64 (fabs.f64 (/.f64 a b)) (*.f64 c c)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) c) c (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) c) c (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 c c) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 c c) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (/.f64 a c) (*.f64 c c) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (/.f64 a b) a) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (*.f64 (/.f64 a b) a) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (/.f64 (*.f64 c c) b) (*.f64 (/.f64 a b) a) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (/.f64 (*.f64 c c) b) (*.f64 (/.f64 a b) a) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (/.f64 a b) (*.f64 (/.f64 a b) (*.f64 c c)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (/.f64 a b) (*.f64 (/.f64 a b) (*.f64 c c)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (neg.f64 c) (*.f64 (neg.f64 c) (pow.f64 (/.f64 a b) #s(literal 2 binary64))) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (neg.f64 c) (*.f64 (neg.f64 c) (pow.f64 (/.f64 a b) #s(literal 2 binary64))) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (*.f64 c c) (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 (*.f64 c c) (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 (*.f64 c c) (/.f64 a c) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) |
(fma.f64 c (*.f64 (/.f64 c b) (*.f64 (/.f64 a b) a)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 c (*.f64 (/.f64 c b) (*.f64 (/.f64 a b) a)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 c (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) c) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 c (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) c) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 a b) b) (*.f64 c c)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 a b) b) (*.f64 c c)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(fma.f64 a (*.f64 (/.f64 a b) (/.f64 (*.f64 c c) b)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(fma.f64 a (*.f64 (/.f64 a b) (/.f64 (*.f64 c c) b)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(+.f64 (*.f64 (/.f64 a c) (*.f64 c c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 c c) (/.f64 a c)) (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 (/.f64 a c) (*.f64 c c))) |
(+.f64 (pow.f64 (*.f64 (/.f64 a b) c) #s(literal 2 binary64)) (*.f64 (*.f64 c c) (/.f64 a c))) |
(/.f64 (/.f64 a (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 a)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (/.f64 (/.f64 a b) b) b) |
(/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (/.f64 a b) (*.f64 b b)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
Compiled 26 107 to 2 395 computations (90.8% saved)
38 alts after pruning (34 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 390 | 10 | 400 |
| Fresh | 6 | 24 | 30 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 399 | 38 | 437 |
| Status | Accuracy | Program |
|---|---|---|
| 30.7% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) | |
| 30.7% | (/.f64 (fma.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 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) | |
| 30.9% | (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a) (*.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 #s(literal 2 binary64) a))) | |
| 30.6% | (/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) | |
| 30.1% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| 30.4% | (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.9% | (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) 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 #s(literal 2 binary64) a)) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) | |
| 29.8% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 30.4% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) | |
| 28.8% | (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) 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 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))))) | |
| 29.3% | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 29.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 29.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 2 binary64) a)) | |
| 29.2% | (/.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)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (+.f64 a a)) | |
| 91.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (+.f64 a a)) | |
| ✓ | 91.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (+.f64 a a)) |
| 91.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) (*.f64 b b))))) b)) (+.f64 a a)) | |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) (*.f64 a a))))) b)) (+.f64 a a)) | |
| 91.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c)))) b)) (+.f64 a a)) | |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 #s(approx (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) | |
| 28.9% | (+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) | |
| 96.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal -5 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) | |
| 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b))) | |
| 94.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 (/.f64 c (*.f64 b b)) (*.f64 b b))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) | |
| ✓ | 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 94.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 a (*.f64 b b))) c) #s(literal 1 binary64)) c)) b)) | |
| 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) | |
| 91.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (neg.f64 a) c) (*.f64 b b)) b) (/.f64 #s(literal 1 binary64) b)) c)) | |
| 94.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)) | |
| 91.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b)) c)) | |
| 82.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c)) | |
| 94.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (neg.f64 (fma.f64 (*.f64 b c) b (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))))) | |
| 95.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (neg.f64 (fma.f64 (*.f64 c b) b (*.f64 (*.f64 c c) a))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) | |
| 95.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c))) | |
| 91.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) c) (/.f64 (neg.f64 (fma.f64 (*.f64 c b) b (*.f64 (*.f64 c c) a))) (pow.f64 b #s(literal 3 binary64))))) |
Compiled 4 856 to 1 557 computations (67.9% saved)
| Inputs |
|---|
#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 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.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 a 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 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 a c))) 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (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)) |
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (neg.f64 a) c) (*.f64 b b)) b) (/.f64 #s(literal 1 binary64) b)) c)) |
(/.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 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c)))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (+.f64 a a)) |
(+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 c b) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) 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 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 a (*.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) (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 (fma.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 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) (*.f64 b b))))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) (*.f64 a a))))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) (*.f64 a a)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 #s(approx (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 (/.f64 c (*.f64 b b)) (*.f64 b b))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) c) (/.f64 (neg.f64 (fma.f64 (*.f64 c b) b (*.f64 (*.f64 c c) a))) (pow.f64 b #s(literal 3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 a (*.f64 b b))) c) #s(literal 1 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (neg.f64 (fma.f64 (*.f64 b c) b (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal -5 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) 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 #s(literal 2 binary64) a)) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 c #s(literal 3 binary64))) b (*.f64 (pow.f64 b #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c)))) (pow.f64 b #s(literal 6 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (*.f64 (neg.f64 b) b) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (neg.f64 (fma.f64 (*.f64 b c) b (*.f64 (*.f64 c c) a))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (neg.f64 (fma.f64 (*.f64 c b) b (*.f64 (*.f64 c c) a))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) a) (/ (neg c) b)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) 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 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))))) b)) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal -5 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
4 calls:
| 24.0ms | b |
| 18.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 16.0ms | a |
| 16.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 96.1% | 1 | a |
| 96.1% | 1 | b |
| 96.1% | 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 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.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 a 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 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 a c))) 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (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)) |
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (neg.f64 a) c) (*.f64 b b)) b) (/.f64 #s(literal 1 binary64) b)) c)) |
(/.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 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c)))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (+.f64 a a)) |
(+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 c b) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) 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 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 a (*.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) (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 (fma.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 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) (*.f64 b b))))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) (*.f64 a a))))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) (*.f64 a a)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 #s(approx (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 (/.f64 c (*.f64 b b)) (*.f64 b b))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) c) (/.f64 (neg.f64 (fma.f64 (*.f64 c b) b (*.f64 (*.f64 c c) a))) (pow.f64 b #s(literal 3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (/ (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) b) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 a (*.f64 b b))) c) #s(literal 1 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) b) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (neg.f64 (fma.f64 (*.f64 b c) b (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (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 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 (/.f64 c (*.f64 b b)) (*.f64 b b))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
4 calls:
| 57.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 13.0ms | b |
| 13.0ms | a |
| 13.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 94.7% | 1 | a |
| 94.7% | 1 | c |
| 94.7% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#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 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.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 a 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 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 a c))) 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (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)) |
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (neg.f64 a) c) (*.f64 b b)) b) (/.f64 #s(literal 1 binary64) b)) c)) |
(/.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 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c)))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (* c c) (/ (* a a) (* b b))) (* a c)) (*.f64 (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b b)) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (+.f64 a a)) |
(+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 c b) a) c))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b) (*.f64 c a))) 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 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 a (*.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) (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 (fma.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 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) (*.f64 b b))))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) #s(approx (* (+ (* (/ a b) (/ a b)) (/ a c)) (* c c)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) (*.f64 a a))))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a c)) (*.f64 c c)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) (*.f64 a a)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 #s(approx (* -2 (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a))) (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) a (*.f64 (*.f64 (*.f64 c c) a) a)) b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#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)) |
4 calls:
| 15.0ms | a |
| 10.0ms | c |
| 10.0ms | b |
| 10.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 92.1% | 1 | a |
| 92.1% | 1 | b |
| 92.1% | 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 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.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 a 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 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 a c))) 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (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)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
4 calls:
| 9.0ms | b |
| 4.0ms | c |
| 4.0ms | a |
| 3.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 1 | a |
| 92.1% | 1 | b |
| 92.1% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 92.1% | 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 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.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 a 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 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 a c))) 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b)) c)) |
4 calls:
| 3.0ms | b |
| 3.0ms | c |
| 3.0ms | a |
| 3.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 1 | a |
| 91.9% | 1 | b |
| 91.9% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 91.9% | 1 | c |
Compiled 20 to 23 computations (-15% saved)
Total -0.4b remaining (-3.3%)
Threshold costs -0.4b (-3.3%)
| Inputs |
|---|
#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 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.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 a 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 #s(literal -2 binary64) #s(approx (+ (* (/ (* c c) b) (/ (* a a) b)) (* c a)) (*.f64 a c))) 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 c) b)) |
4 calls:
| 3.0ms | a |
| 3.0ms | c |
| 3.0ms | b |
| 3.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 1 | a |
| 83.1% | 1 | b |
| 83.1% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 83.1% | 1 | c |
Compiled 20 to 23 computations (-15% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 322 |
| 1 | 223 | 320 |
| 2 | 631 | 320 |
| 3 | 2664 | 316 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal -5 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 (/.f64 c (*.f64 b b)) (*.f64 b b))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (/ (* (neg c) c) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal -5 binary64))) (*.f64 a a) #s(approx (* (+ (* (* -2 (pow c 3)) a) (* (* (neg b) b) (* c c))) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) c)) a (neg.f64 (pow.f64 b #s(literal 4 binary64)))) c) c))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 c c) (/.f64 (/.f64 c (*.f64 b b)) (*.f64 b b))) (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) b)) |
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (* (* -2 a) a) (/ (pow c 3) (pow b 4))) (neg (+ (* (/ (* c c) b) (/ a b)) c))) (*.f64 (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) (neg.f64 c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (- (* (neg c) (/ a (pow b 3))) (/ 1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 722 | 3484 |
| 1 | 2558 | 3424 |
| 0 | 8971 | 3287 |
| 0 | 874 | 4879 |
| 1 | 3101 | 4808 |
| 0 | 8578 | 4604 |
| 0 | 99 | 763 |
| 0 | 151 | 728 |
| 1 | 557 | 711 |
| 2 | 4142 | 699 |
| 0 | 8509 | 677 |
| 0 | 803 | 4089 |
| 1 | 2854 | 4009 |
| 0 | 9146 | 3861 |
| 0 | 545 | 2842 |
| 1 | 1916 | 2807 |
| 2 | 7910 | 2807 |
| 0 | 8090 | 2667 |
| 0 | 109 | 827 |
| 0 | 159 | 806 |
| 1 | 585 | 773 |
| 2 | 4202 | 761 |
| 0 | 8489 | 735 |
| 0 | 69 | 458 |
| 0 | 119 | 458 |
| 1 | 421 | 441 |
| 2 | 3156 | 437 |
| 0 | 9540 | 433 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 322 to 115 computations (64.3% saved)
Compiled 678 to 258 computations (61.9% saved)
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