| Date: | Tuesday, August 3rd, 2021 |
|---|---|
| Commit: | 3ce4b536 on secret-rr |
| Hostname: | warfa with Racket 8.1 |
| Seed: | 2021215 |
| Parameters: | 256 points for 4 iterations |
| Flags: | precision:fallbackreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplify default |
Time bar (total: 37.6s)
| 18× | intervals |
| 5.8s | 70240× | body | 128 | valid |
| 973.0ms | 4064× | body | 2048 | valid |
| 183.0ms | 1335× | body | 128 | nan |
| 174.0ms | 2141× | body | 128 | invalid |
Compiled 2259 to 1495 computations (33.8% saved)
| Status | Error | Program |
| ✓ | 0b | (-.f64 1 (/.f64 (fabs.f64 x) x)) |
| ▶ | 0b | (-.f64 1 (/.f64 (fabs.f64 x) x)) |
| ✓ | 0.0b | (exp.f64 (fma.f64 x x -1)) |
| ✓ | 0.0b | (pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 2) |
| ✓ | 0.0b | (exp.f64 (fma.f64 x x -1)) |
| ▶ | 0.0b | (pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 2) |
| ✓ | 0.0b | (exp.f64 (fma.f64 x x -1)) |
| ▶ | 0.0b | (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2) |
| 2.0b | (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3) | |
| ▶ | 0.0b | (exp.f64 (fma.f64 x x -1)) |
| 29.0b | (fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) | |
| 4.4b | (fabs.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 y (fma.f64 x z -4)) -1))) | |
| ✓ | 3.5b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))) |
| 4.3b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 x z) (/.f64 1 y)))) | |
| ✓ | 1.4b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
| 29.0b | (fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) | |
| ✓ | 3.5b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))) |
| 4.3b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 x z) (/.f64 1 y)))) | |
| 4.4b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 1 (/.f64 y (*.f64 x z))))) | |
| ✓ | 1.4b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
| ▶ | 4.3b | (fabs.f64 (-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))) |
| 29.0b | (fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) | |
| 4.3b | (fabs.f64 (-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (/.f64 (*.f64 z x) y))) | |
| ✓ | 3.5b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))) |
| 4.3b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 x z) (/.f64 1 y)))) | |
| 4.4b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 1 (/.f64 y (*.f64 x z))))) | |
| ✓ | 1.4b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
| ▶ | 4.3b | (fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) |
| 29.0b | (fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) | |
| 4.4b | (fabs.f64 (-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))) | |
| ▶ | 3.5b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))) |
| 4.3b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 x z) (/.f64 1 y)))) | |
| 4.4b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 1 (/.f64 y (*.f64 x z))))) | |
| ✓ | 1.4b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
| 4.3b | (fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) | |
| ▶ | 1.4b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
| 4.3b | (fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y)) | |
| ✓ | 0b | (/.f64 (fabs.f64 (-.f64 a b)) 2) |
| ▶ | 0b | (/.f64 (fabs.f64 (-.f64 a b)) 2) |
| 20.7b | (if (>=.f64 b 0) (*.f64 -1/2 (*.f64 (*.f64 2 b) (/.f64 1 a))) (/.f64 (*.f64 c 2) (*.f64 -2 b))) | |
| 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (pow.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))) -1)) (/.f64 (*.f64 c 2) (*.f64 -2 b))) | |
| ✓ | 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) 2)) a)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))) |
| 30.6b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) a)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))) | |
| 20.7b | (if (>=.f64 b 0) (*.f64 -1/2 (*.f64 2 (-.f64 (/.f64 b a) (/.f64 c b)))) (/.f64 (*.f64 c 2) (*.f64 -2 b))) | |
| 33.2b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a)) (/.f64 (*.f64 c 2) (/.f64 (+.f64 (*.f64 a (*.f64 c -4)) 0) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) | |
| 20.6b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (sqrt.f64 b) 2)) a)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))) | |
| 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a)) (/.f64 (*.f64 c 2) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)) 2))) | |
| ✓ | 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 1 a))) (/.f64 (*.f64 c 2) (*.f64 -2 b))) |
| 20.7b | (if (>=.f64 b 0) (*.f64 -1/2 (*.f64 (*.f64 2 b) (/.f64 1 a))) (/.f64 (*.f64 c 2) (*.f64 -2 b))) | |
| 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (pow.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))) -1)) (/.f64 (*.f64 c 2) (*.f64 -2 b))) | |
| ▶ | 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) 2)) a)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))) |
| 30.6b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) a)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))) | |
| 20.7b | (if (>=.f64 b 0) (*.f64 -1/2 (*.f64 2 (-.f64 (/.f64 b a) (/.f64 c b)))) (/.f64 (*.f64 c 2) (*.f64 -2 b))) | |
| 33.2b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a)) (/.f64 (*.f64 c 2) (/.f64 (+.f64 (*.f64 a (*.f64 c -4)) 0) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) | |
| ✓ | 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 1 a))) (/.f64 (*.f64 c 2) (*.f64 -2 b))) |
| 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a)) (/.f64 (*.f64 c 2) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)) 2))) | |
| 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) 2)) a)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))) | |
| 30.6b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) a)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))) | |
| 20.7b | (if (>=.f64 b 0) (*.f64 -1/2 (*.f64 2 (-.f64 (/.f64 b a) (/.f64 c b)))) (/.f64 (*.f64 c 2) (*.f64 -2 b))) | |
| 33.2b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a)) (/.f64 (*.f64 c 2) (/.f64 (+.f64 (*.f64 a (*.f64 c -4)) 0) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) | |
| 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (pow.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))) -1)) (/.f64 (*.f64 c 2) (*.f64 -2 b))) | |
| ▶ | 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 1 a))) (/.f64 (*.f64 c 2) (*.f64 -2 b))) |
| 20.6b | (if (>=.f64 b 0) (*.f64 -1/2 (*.f64 2 (/.f64 b a))) (/.f64 (*.f64 c 2) (*.f64 -2 b))) | |
| 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a)) (/.f64 (*.f64 c 2) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)) 2))) | |
| 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) 2)) a)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))) | |
| 30.6b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) a)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))) | |
| 20.6b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b b) a)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))) | |
| 19.0b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a)) (/.f64 (*.f64 c 2) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)) 2))) | |
| ▶ | 18.9b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a)) (/.f64 (*.f64 c 2) (*.f64 -2 b))) |
| 33.2b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a)) (/.f64 (*.f64 c 2) (/.f64 (+.f64 (*.f64 a (*.f64 c -4)) 0) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) | |
| ▶ | 18.9b | (if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))) |
| 23.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)))) (*.f64 2 a))) | |
| 20.6b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) 3) (*.f64 2 a))) | |
| ✓ | 20.2b | (if (>=.f64 b 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) c)) (/.f64 (*.f64 -2 b) (*.f64 2 a))) |
| 23.4b | (if (>=.f64 b 0) (*.f64 -1 (/.f64 c b)) (/.f64 (*.f64 -2 b) (*.f64 2 a))) | |
| 20.4b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4))) (*.f64 2 a))) | |
| ✓ | 20.4b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 23.6b | (if (>=.f64 b 0) (/.f64 2 (/.f64 (*.f64 -2 b) c)) (/.f64 (*.f64 -2 b) (*.f64 2 a))) | |
| 20.5b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))))) (*.f64 2 a))) | |
| 23.9b | (if (>=.f64 b 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) c)) (/.f64 (*.f64 -2 b) (*.f64 2 a))) | |
| 21.9b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)))) (*.f64 2 a))) | |
| 20.4b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) | |
| 35.7b | (if (>=.f64 b 0) (cbrt.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 c) (*.f64 2 c)) (*.f64 2 c)) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))) (/.f64 (*.f64 -2 b) (*.f64 2 a))) | |
| 23.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)))) (*.f64 2 a))) | |
| 20.6b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) 3) (*.f64 2 a))) | |
| ✓ | 20.2b | (if (>=.f64 b 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) c)) (/.f64 (*.f64 -2 b) (*.f64 2 a))) |
| 23.4b | (if (>=.f64 b 0) (*.f64 -1 (/.f64 c b)) (/.f64 (*.f64 -2 b) (*.f64 2 a))) | |
| 20.4b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4))) (*.f64 2 a))) | |
| ▶ | 20.4b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 23.6b | (if (>=.f64 b 0) (/.f64 2 (/.f64 (*.f64 -2 b) c)) (/.f64 (*.f64 -2 b) (*.f64 2 a))) | |
| 20.5b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))))) (*.f64 2 a))) | |
| 23.9b | (if (>=.f64 b 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) c)) (/.f64 (*.f64 -2 b) (*.f64 2 a))) | |
| 21.9b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)))) (*.f64 2 a))) | |
| 20.4b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) | |
| 35.7b | (if (>=.f64 b 0) (cbrt.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 c) (*.f64 2 c)) (*.f64 2 c)) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))) (/.f64 (*.f64 -2 b) (*.f64 2 a))) | |
| 23.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)))) (*.f64 2 a))) | |
| 20.6b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) 3) (*.f64 2 a))) | |
| ▶ | 20.2b | (if (>=.f64 b 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) c)) (/.f64 (*.f64 -2 b) (*.f64 2 a))) |
| 23.4b | (if (>=.f64 b 0) (*.f64 -1 (/.f64 c b)) (/.f64 (*.f64 -2 b) (*.f64 2 a))) | |
| 20.4b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4))) (*.f64 2 a))) | |
| 20.4b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 21.9b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)))) (*.f64 2 a))) | |
| 20.5b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))))) (*.f64 2 a))) | |
| 20.4b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) | |
| 35.7b | (if (>=.f64 b 0) (cbrt.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 c) (*.f64 2 c)) (*.f64 2 c)) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))) (/.f64 (*.f64 -2 b) (*.f64 2 a))) | |
| 20.4b | (if (>=.f64 b 0) (/.f64 (/.f64 (*.f64 2 c) (*.f64 (cbrt.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (cbrt.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))) (cbrt.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (/.f64 (*.f64 -2 b) (*.f64 2 a))) | |
| 23.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)))) (*.f64 2 a))) | |
| 20.6b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) 3) (*.f64 2 a))) | |
| 21.9b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) b)))) (*.f64 2 a))) | |
| 23.7b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 20.4b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4))) (*.f64 2 a))) | |
| 20.4b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 20.5b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))))) (*.f64 2 a))) | |
| 20.5b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) | |
| 20.4b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) | |
| ▶ | 20.0b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (*.f64 -2 b) (*.f64 2 a))) |
| ▶ | 20.3b | (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))) |
| 20.4b | (if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) | |
| ✓ | 0.5b | (neg.f64 (neg.f64 (+.f64 (log.f64 x) x))) |
| ✓ | 0.0b | (neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1))) |
| ▶ | 0.5b | (neg.f64 (neg.f64 (+.f64 (log.f64 x) x))) |
| ✓ | 0.0b | (neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1))) |
| ▶ | 0.0b | (neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1))) |
| ✓ | 0.4b | (-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))) |
| ✓ | 30.6b | (sqrt.f64 (*.f64 (-.f64 x 1) x)) |
| ✓ | 0.5b | (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
| ✓ | 0.4b | (-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))) |
| ▶ | 30.6b | (sqrt.f64 (*.f64 (-.f64 x 1) x)) |
| ✓ | 0.5b | (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
| ▶ | 0.4b | (-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))) |
| 30.6b | (sqrt.f64 (*.f64 (-.f64 x 1) x)) | |
| ✓ | 0.5b | (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
| ▶ | 0.5b | (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
| ✓ | 0.0b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
| ✓ | 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ✓ | 29.9b | (fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1) |
| ✓ | 0.0b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
| ✓ | 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ▶ | 29.9b | (fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1) |
| ▶ | 0.0b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
| ✓ | 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 29.9b | (fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1) | |
| ▶ | 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) |
Compiled 153772 to 90558 computations (41.1% saved)
Compiled 59075 to 40120 computations (32.1% saved)
| 43× | egg-herbie |
| 14738× | fma-def_binary64 |
| 12395× | fma-neg_binary64 |
| 7276× | times-frac_binary64 |
| 7116× | associate-/l*_binary64 |
| 5621× | associate-*l*_binary64 |
40 calls:
| 594.0ms | (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) |
| 580.0ms | (pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 2) |
| 490.0ms | (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) |
| 426.0ms | (/.f64 2 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) c)) |
| 162.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) |
| 9× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 11.1% | 88.8% | 0.1% | 1 |
| 11.1% | 83.3% | 5.6% | 2 |
| 19.4% | 69.4% | 11.2% | 3 |
| 31.9% | 51.3% | 16.8% | 4 |
| 35.4% | 45.1% | 19.5% | 5 |
| 45.1% | 34% | 20.9% | 6 |
| 50.7% | 26.4% | 23% | 7 |
| 53.3% | 23.4% | 23.3% | 8 |
| 57.6% | 18.3% | 24.1% | 9 |
| 59.6% | 15.1% | 25.4% | 10 |
| 61.3% | 12.9% | 25.8% | 11 |
| 63.2% | 10% | 26.8% | 12 |
| 64.2% | 8.2% | 27.6% | 13 |
| 64.9% | 6.9% | 28.2% | 14 |
Compiled 161 to 110 computations (31.7% saved)
| 25× | rewrite-expression-head |
| 386× | add-cube-cbrt_binary64 |
| 196× | add-sqr-sqrt_binary64 |
| 169× | pow1_binary64 |
| 163× | add-cbrt-cube_binary64 |
| 152× | add-exp-log_binary64 |
40 calls:
| 37.0ms | (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4))) |
| 33.0ms | (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) |
| 32.0ms | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) |
| 31.0ms | (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) |
| 30.0ms | (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) |
Compiled 12240 to 10200 computations (16.7% saved)
Compiled 86 to 55 computations (36% saved)
Compiled 728 to 460 computations (36.8% saved)
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