Time bar (total: 20.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 100% | 0% | 3 |
| 0% | 100% | 0% | 4 |
| 0% | 100% | 0% | 5 |
| 0% | 100% | 0% | 6 |
| 0% | 100% | 0% | 7 |
| 0% | 100% | 0% | 8 |
| 0% | 100% | 0% | 9 |
| 0% | 100% | 0% | 10 |
| 0% | 100% | 0% | 11 |
| 0% | 100% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 8.2s | 2103× | body | 2048 | valid |
| 2.7s | 3130× | body | 1024 | valid |
| 619.0ms | 1558× | body | 512 | valid |
| 421.0ms | 1358× | body | 256 | valid |
| 251.0ms | 107× | body | 4096 | valid |
| 2× | egg-herbie |
| 583× | fma-neg_binary64 |
| 430× | fma-def_binary64 |
| 418× | div-sub_binary64 |
| 334× | times-frac_binary64 |
| 156× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 14 | 14 |
| 2 | 24 | 14 |
| 3 | 41 | 14 |
| 4 | 75 | 14 |
| 5 | 130 | 14 |
| 6 | 260 | 14 |
| 7 | 546 | 14 |
| 8 | 1420 | 14 |
| 9 | 2566 | 14 |
| 10 | 3392 | 14 |
| 11 | 3757 | 14 |
| 12 | 3886 | 14 |
| 13 | 3913 | 14 |
| 14 | 3923 | 14 |
| 15 | 3927 | 14 |
| 16 | 3927 | 14 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 583× | fma-neg_binary64 |
| 430× | fma-def_binary64 |
| 418× | div-sub_binary64 |
| 334× | times-frac_binary64 |
| 156× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 14 | 14 |
| 2 | 24 | 14 |
| 3 | 41 | 14 |
| 4 | 75 | 14 |
| 5 | 130 | 14 |
| 6 | 260 | 14 |
| 7 | 546 | 14 |
| 8 | 1420 | 14 |
| 9 | 2566 | 14 |
| 10 | 3392 | 14 |
| 11 | 3757 | 14 |
| 12 | 3886 | 14 |
| 13 | 3913 | 14 |
| 14 | 3923 | 14 |
| 15 | 3927 | 14 |
| 16 | 3927 | 14 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
Compiled 19 to 9 computations (52.6% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 28.5b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
Compiled 10 to 6 computations (40% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sin.f64 x) |
| ✓ | 0.0b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| ✓ | 1.5b | (-.f64 (tan.f64 x) x) |
| ✓ | 1.5b | (-.f64 (sin.f64 x) x) |
Compiled 23 to 6 computations (73.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| 2.0ms | x | @ | -inf | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| 1.0ms | x | @ | 0 | (-.f64 (sin.f64 x) x) |
| 1.0ms | x | @ | -inf | (-.f64 (tan.f64 x) x) |
| 1.0ms | x | @ | 0 | (-.f64 (tan.f64 x) x) |
| 1× | batch-egg-rewrite |
| 990× | prod-diff_binary64 |
| 472× | log-prod_binary64 |
| 339× | fma-def_binary64 |
| 251× | pow2_binary64 |
| 227× | egg-rr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 29 |
| 1 | 169 | 29 |
| 2 | 2745 | 29 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
(-.f64 (tan.f64 x) x) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(sin.f64 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (sin.f64 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sin.f64 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sin.f64 x)) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) 1 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) x) 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) x) 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (+.f64 (neg.f64 x) x))))) 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(cbrt.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (sqrt.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 (tan.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 (tan.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1)))))) |
| 1× | egg-herbie |
| 597× | div-sub_binary64 |
| 542× | fma-def_binary64 |
| 510× | times-frac_binary64 |
| 286× | associate-/l*_binary64 |
| 217× | distribute-neg-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 744 |
| 1 | 315 | 656 |
| 2 | 1009 | 622 |
| 3 | 4955 | 594 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))) |
(*.f64 -1 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(*.f64 1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5))))) |
(*.f64 -1 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
| Outputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/362880 (pow.f64 x 9) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7))))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 1/362880 (pow.f64 x 9))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(*.f64 1/3 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) 1/3) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15)) |
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 2/15)) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15))) |
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 2/15))) |
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) 17/315))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5))))) |
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 (pow.f64 x 5) 2/15)))) |
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 9) 62/2835 (*.f64 (pow.f64 x 5) 2/15)))) |
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 9) 62/2835)))) |
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 9) 62/2835)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 x (*.f64 x 9/40) -1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) |
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2) |
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x)))) |
(-.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))) |
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 (pow.f64 x 3) (cos.f64 x)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x)))) |
(-.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))) |
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 (pow.f64 x 3) (cos.f64 x)))))) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) x))) |
Compiled 16764 to 5096 computations (69.6% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 476 | 9 | 485 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 476 | 10 | 486 |
| Status | Error | Program |
|---|---|---|
| ▶ | 34.0b | (fma.f64 x (*.f64 x 9/40) -1/2) |
| ▶ | 29.9b | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| 34.7b | -1/2 | |
| ▶ | 28.5b | (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) |
| 29.5b | 1 | |
| ▶ | 34.8b | (-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
| ▶ | 28.6b | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| ✓ | 28.5b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| 48.8b | (/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x)) | |
| 45.8b | (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x))) |
Compiled 182 to 124 computations (31.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) |
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) |
| 1.5b | (-.f64 (tan.f64 x) x) | |
| 1.5b | (-.f64 (sin.f64 x) x) |
Compiled 35 to 9 computations (74.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) |
| 2.0ms | x | @ | inf | (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 990× | prod-diff_binary64 |
| 538× | log-prod_binary64 |
| 344× | fma-def_binary64 |
| 225× | egg-rr |
| 195× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 211 | 28 |
| 2 | 3201 | 28 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) |
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule 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(sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 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(fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (+.f64 x (sin.f64 x)) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x)))))))) |
| 1× | egg-herbie |
| 804× | fma-def_binary64 |
| 681× | times-frac_binary64 |
| 439× | associate-/l*_binary64 |
| 306× | associate-+l+_binary64 |
| 271× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1051 |
| 1 | 392 | 872 |
| 2 | 1698 | 760 |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))))) |
-2 |
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2) |
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2) |
(-.f64 (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (*.f64 -1 (/.f64 (sin.f64 x) x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (*.f64 -1 (/.f64 (sin.f64 x) x))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))) |
| Outputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 x (*.f64 x 9/40) -1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2) |
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2)) |
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) x))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3)) (neg.f64 (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (pow.f64 x 3))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))) |
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 1 (fma.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))))) (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) x))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x 3) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (+.f64 1 (fma.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3)) (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))))) |
(+.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (pow.f64 x 3)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) |
(+.f64 (fma.f64 -1 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 x 3)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) 1) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) 1) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))))))) |
-2 |
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2) |
(fma.f64 -9/10 (*.f64 x x) -2) |
(fma.f64 (*.f64 x x) -9/10 -2) |
(fma.f64 (*.f64 -9/10 x) x -2) |
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2) |
(+.f64 (*.f64 (pow.f64 x 4) -513/1400) (fma.f64 -9/10 (*.f64 x x) -2)) |
(fma.f64 (pow.f64 x 4) -513/1400 (fma.f64 (*.f64 x x) -9/10 -2)) |
(fma.f64 x (*.f64 x -9/10) (fma.f64 (pow.f64 x 4) -513/1400 -2)) |
(-.f64 (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2) |
(+.f64 (fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (*.f64 (*.f64 x x) -9/10))) -2) |
(fma.f64 (pow.f64 x 6) -297/2000 (fma.f64 (pow.f64 x 4) -513/1400 (fma.f64 (*.f64 x x) -9/10 -2))) |
(fma.f64 (pow.f64 x 6) -297/2000 (fma.f64 x (*.f64 x -9/10) (fma.f64 (pow.f64 x 4) -513/1400 -2))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) x))) |
(+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (*.f64 -1 (/.f64 (sin.f64 x) x))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) |
(+.f64 1 (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 -1 (/.f64 (sin.f64 x) x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (*.f64 -1 (/.f64 (sin.f64 x) x))) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) 1) (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))))) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) |
(+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (sin.f64 x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) x))) |
(+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) |
(+.f64 1 (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 -1 (/.f64 (sin.f64 x) x)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) 1) (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))))) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) |
(+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (sin.f64 x)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x (*.f64 x 9/40) -1/2) |
| ✓ | 0.1b | (*.f64 x 9/40) |
Compiled 13 to 9 computations (30.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 x (*.f64 x 9/40) -1/2) |
| 0.0ms | x | @ | 0 | (*.f64 x 9/40) |
| 0.0ms | x | @ | inf | (*.f64 x 9/40) |
| 0.0ms | x | @ | inf | (fma.f64 x (*.f64 x 9/40) -1/2) |
| 0.0ms | x | @ | -inf | (*.f64 x 9/40) |
| 1× | batch-egg-rewrite |
| 534× | pow1_binary64 |
| 522× | add-sqr-sqrt_binary64 |
| 497× | add-log-exp_binary64 |
| 497× | log1p-expm1-u_binary64 |
| 497× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 12 |
| 1 | 122 | 12 |
| 2 | 1327 | 12 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 9/40) |
(fma.f64 x (*.f64 x 9/40) -1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9/40) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9/40) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 9/40)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 9/40) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9/40) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 9/40))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 3) -1/8) (+.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40))) (-.f64 1/4 (*.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40))) 1/4) (-.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) -1/2))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 559× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 450× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 135 |
| 1 | 20 | 135 |
| 2 | 30 | 135 |
| 3 | 51 | 135 |
| 4 | 116 | 135 |
| 5 | 349 | 135 |
| 6 | 1281 | 135 |
| 7 | 2180 | 135 |
| 8 | 2344 | 135 |
| 9 | 2528 | 135 |
| 10 | 2736 | 135 |
| 11 | 3034 | 135 |
| 12 | 3427 | 135 |
| 13 | 3908 | 135 |
| 14 | 4476 | 135 |
| 15 | 5168 | 135 |
| 16 | 6007 | 135 |
| 17 | 6401 | 135 |
| 18 | 6689 | 135 |
| 19 | 6967 | 135 |
| 20 | 7039 | 135 |
| 21 | 7073 | 135 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
| Outputs |
|---|
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
(*.f64 9/40 x) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| 1.5b | (-.f64 (tan.f64 x) x) |
Compiled 17 to 5 computations (70.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| 1.0ms | x | @ | inf | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| 1.0ms | x | @ | -inf | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 724× | pow1_binary64 |
| 676× | add-log-exp_binary64 |
| 675× | log1p-expm1-u_binary64 |
| 675× | expm1-log1p-u_binary64 |
| 661× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 143 | 9 |
| 2 | 2334 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 x (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (neg.f64 (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x))))))))) |
| 1× | egg-herbie |
| 793× | associate-/l/_binary64 |
| 760× | fma-def_binary64 |
| 736× | associate-*l*_binary64 |
| 644× | associate-*r*_binary64 |
| 410× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 278 |
| 1 | 114 | 276 |
| 2 | 326 | 270 |
| 3 | 1704 | 240 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -3 (pow.f64 x 2)) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
| Outputs |
|---|
(/.f64 -3 (pow.f64 x 2)) |
(/.f64 -3 (*.f64 x x)) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 3 (*.f64 x x))) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (/.f64 3 (*.f64 x x))) |
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (/.f64 -3 (*.f64 x x))) |
(+.f64 6/5 (fma.f64 (*.f64 x x) 1/175 (/.f64 -3 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (*.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x))) |
(+.f64 (fma.f64 (*.f64 x x) 1/175 (fma.f64 2/7875 (pow.f64 x 4) 6/5)) (/.f64 -3 (*.f64 x x))) |
(+.f64 (fma.f64 2/7875 (pow.f64 x 4) 6/5) (fma.f64 (*.f64 x x) 1/175 (/.f64 -3 (*.f64 x x)))) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)))) |
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)))) |
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 (tan.f64 x) x)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 1.5b | (-.f64 (tan.f64 x) x) | |
| 1.5b | (-.f64 (sin.f64 x) x) |
Compiled 32 to 11 computations (65.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 1 (-.f64 (tan.f64 x) x)) |
| 1.0ms | x | @ | 0 | (/.f64 1 (-.f64 (tan.f64 x) x)) |
| 1.0ms | x | @ | -inf | (/.f64 1 (-.f64 (tan.f64 x) x)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 765× | prod-diff_binary64 |
| 484× | log-prod_binary64 |
| 330× | fma-def_binary64 |
| 268× | pow2_binary64 |
| 186× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 200 | 23 |
| 2 | 2884 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change 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(+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sin.f64 x) x) -1) (neg.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x 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(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (pow.f64 (-.f64 (tan.f64 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (tan.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1)))))) |
| 1× | egg-herbie |
| 875× | times-frac_binary64 |
| 701× | div-sub_binary64 |
| 436× | fma-def_binary64 |
| 435× | associate-/l*_binary64 |
| 345× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 761 |
| 1 | 312 | 685 |
| 2 | 1106 | 637 |
| 3 | 6454 | 637 |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(/.f64 3 (pow.f64 x 3)) |
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1/175 x) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1/175 x) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 -2/7875 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x)) |
| Outputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 x (*.f64 9/40 x) -1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2) |
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))) (/.f64 (sin.f64 x) x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))) (/.f64 (sin.f64 x) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))))) |
(/.f64 3 (pow.f64 x 3)) |
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 6/5 x)) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -6/5 x)) |
(-.f64 (+.f64 (*.f64 -1/175 x) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (/.f64 6/5 x)) |
(+.f64 (fma.f64 x -1/175 (/.f64 3 (pow.f64 x 3))) (/.f64 -6/5 x)) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x -1/175 (/.f64 -6/5 x))) |
(-.f64 (+.f64 (*.f64 -1/175 x) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 -2/7875 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (+.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (*.f64 (pow.f64 x 3) -2/7875)) (/.f64 6/5 x)) |
(+.f64 (fma.f64 x -1/175 (fma.f64 (pow.f64 x 3) -2/7875 (/.f64 3 (pow.f64 x 3)))) (/.f64 -6/5 x)) |
(+.f64 (fma.f64 x -1/175 (/.f64 3 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) -2/7875 (/.f64 -6/5 x))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 -1 x)) |
(-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(fma.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 -1 x)) |
(-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))) (/.f64 1 x)) |
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))) (/.f64 -1 x)) |
(-.f64 (-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4))) |
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4)))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 -1 x)) |
(-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(fma.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 -1 x)) |
(-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))) (/.f64 1 x)) |
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))) (/.f64 -1 x)) |
(-.f64 (-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4))) |
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 -27/2800 (pow.f64 x 4)) |
| ✓ | 0.3b | (*.f64 9/40 (pow.f64 x 2)) |
| ✓ | 17.5b | (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
Compiled 47 to 38 computations (19.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
| 1.0ms | x | @ | inf | (*.f64 -27/2800 (pow.f64 x 4)) |
| 1.0ms | x | @ | inf | (*.f64 9/40 (pow.f64 x 2)) |
| 1.0ms | x | @ | 0 | (*.f64 -27/2800 (pow.f64 x 4)) |
| 1× | batch-egg-rewrite |
| 446× | log-prod_binary64 |
| 335× | exp-prod_binary64 |
| 304× | fma-def_binary64 |
| 298× | prod-exp_binary64 |
| 269× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 239 | 28 |
| 2 | 2733 | 28 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 729/7840000) (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) 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(*.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9/40 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) -27/2800) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 (*.f64 x x)) 1 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) -27/2800 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 9/40) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 8) (*.f64 (*.f64 (cbrt.f64 x) x) -27/2800) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 x) x (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (pow.f64 (cbrt.f64 x) 8)) (*.f64 (cbrt.f64 x) x) (*.f64 9/40 (*.f64 x x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 81/1600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 729/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))) (sqrt.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 729/64000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 9/40 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 9/40))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) 729/64000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 9/40 (*.f64 x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 9/40 (*.f64 x x))) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 729/7840000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 12) -19683/21952000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 2)) (cbrt.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 12) -19683/21952000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 12) -19683/21952000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)))))) |
| 1× | egg-herbie |
| 1057× | sqr-pow_binary64 |
| 538× | fma-def_binary64 |
| 506× | pow-sqr_binary64 |
| 443× | cube-prod_binary64 |
| 425× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 63 |
| 1 | 22 | 63 |
| 2 | 45 | 63 |
| 3 | 114 | 63 |
| 4 | 355 | 63 |
| 5 | 1427 | 63 |
| 6 | 2658 | 63 |
| 7 | 3120 | 63 |
| 8 | 3289 | 63 |
| 9 | 3488 | 63 |
| 10 | 3761 | 63 |
| 11 | 4118 | 63 |
| 12 | 4568 | 63 |
| 13 | 5099 | 63 |
| 14 | 5729 | 63 |
| 15 | 6484 | 63 |
| 16 | 6794 | 63 |
| 17 | 7018 | 63 |
| 18 | 7216 | 63 |
| 19 | 7270 | 63 |
| 20 | 7292 | 63 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(*.f64 -27/2800 (pow.f64 x 4)) |
| Outputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(*.f64 -27/2800 (pow.f64 x 4)) |
Compiled 30191 to 10903 computations (63.9% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1158 | 5 | 1163 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1163 | 10 | 1173 |
| Status | Error | Program |
|---|---|---|
| ▶ | 34.0b | (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
| ▶ | 28.5b | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) |
| ▶ | 48.8b | (/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x)) |
| ▶ | 34.8b | (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
| ▶ | 29.3b | (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) (-.f64 (sin.f64 x) x)) |
| ✓ | 29.9b | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| ✓ | 28.6b | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 34.7b | -1/2 | |
| ✓ | 28.5b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| 29.5b | 1 |
Compiled 160 to 115 computations (28.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) | |
| ✓ | 0.0b | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) |
| 1.5b | (-.f64 (tan.f64 x) x) | |
| 1.5b | (-.f64 (sin.f64 x) x) |
Compiled 35 to 9 computations (74.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) |
| 1× | batch-egg-rewrite |
| 990× | prod-diff_binary64 |
| 550× | log-prod_binary64 |
| 345× | fma-def_binary64 |
| 194× | expm1-udef_binary64 |
| 194× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 210 | 14 |
| 2 | 3248 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 1 (/.f64 1 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1) (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))))))) |
| 1× | egg-herbie |
| 597× | div-sub_binary64 |
| 510× | times-frac_binary64 |
| 300× | distribute-rgt-in_binary64 |
| 284× | associate-/l*_binary64 |
| 269× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 420 |
| 1 | 206 | 356 |
| 2 | 730 | 322 |
| 3 | 4124 | 294 |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
| Outputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 x (*.f64 9/40 x) -1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2) |
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))) |
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x)))) |
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2))))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))) |
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x)))) |
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2))))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 9/40 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 9/40 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 9/40 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 9/40 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 432× | pow1_binary64 |
| 421× | add-sqr-sqrt_binary64 |
| 411× | *-un-lft-identity_binary64 |
| 402× | add-log-exp_binary64 |
| 402× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 102 | 7 |
| 2 | 1148 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9/40 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81/1600 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 105 | 84 |
| 5 | 331 | 84 |
| 6 | 1250 | 84 |
| 7 | 2123 | 84 |
| 8 | 2287 | 84 |
| 9 | 2471 | 84 |
| 10 | 2679 | 84 |
| 11 | 2976 | 84 |
| 12 | 3371 | 84 |
| 13 | 3852 | 84 |
| 14 | 4418 | 84 |
| 15 | 5102 | 84 |
| 16 | 5935 | 84 |
| 17 | 6327 | 84 |
| 18 | 6619 | 84 |
| 19 | 6895 | 84 |
| 20 | 6969 | 84 |
| 21 | 7003 | 84 |
| 22 | 7944 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -27/2800 (pow.f64 x 4)) | |
| 0.3b | (*.f64 9/40 (*.f64 x x)) | |
| ✓ | 17.5b | (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) |
Compiled 58 to 39 computations (32.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) |
| 0.0ms | x | @ | inf | (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) |
| 0.0ms | x | @ | -inf | (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) |
| 1× | batch-egg-rewrite |
| 477× | fma-def_binary64 |
| 456× | log-prod_binary64 |
| 344× | exp-prod_binary64 |
| 299× | pow-prod-down_binary64 |
| 262× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 16 |
| 1 | 271 | 14 |
| 2 | 3132 | 14 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))) (/.f64 (*.f64 729/7840000 (pow.f64 x 8)) (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8))) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4))) (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000)) (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000)) (fma.f64 729/7840000 (pow.f64 x 8) (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8))) (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8)))) (neg.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 3)) (+.f64 0 (-.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2) (*.f64 0 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2)) (-.f64 0 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4))) (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))) (sqrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))) (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 9/40) x) x) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (pow.f64 (exp.f64 9/40) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)) (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 9/40 x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9/40 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) -27/2800) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 (*.f64 x x)) 1 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) -27/2800 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (cbrt.f64 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 729/7840000 (pow.f64 x 8))) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 9/40) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 8) (*.f64 (*.f64 (cbrt.f64 x) x) -27/2800) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 6) 729/64000) (pow.f64 (*.f64 9/40 (*.f64 x x)) -2) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (pow.f64 x 4) 81/1600)) (/.f64 1 (neg.f64 (*.f64 9/40 (*.f64 x x)))) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8))) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 x) x (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (pow.f64 (cbrt.f64 x) 8)) (*.f64 (cbrt.f64 x) x) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9/40 x) 1) x (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9/40 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9/40 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -27/2800 (pow.f64 x 4))))))) |
| 1× | egg-herbie |
| 1057× | sqr-pow_binary64 |
| 538× | fma-def_binary64 |
| 506× | pow-sqr_binary64 |
| 443× | cube-prod_binary64 |
| 408× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 147 |
| 1 | 23 | 147 |
| 2 | 45 | 147 |
| 3 | 114 | 147 |
| 4 | 355 | 147 |
| 5 | 1400 | 147 |
| 6 | 2650 | 147 |
| 7 | 3112 | 147 |
| 8 | 3281 | 147 |
| 9 | 3480 | 147 |
| 10 | 3751 | 147 |
| 11 | 4110 | 147 |
| 12 | 4560 | 147 |
| 13 | 5091 | 147 |
| 14 | 5721 | 147 |
| 15 | 6470 | 147 |
| 16 | 6784 | 147 |
| 17 | 7008 | 147 |
| 18 | 7208 | 147 |
| 19 | 7266 | 147 |
| 20 | 7290 | 147 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
| Outputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) |
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x)) |
| 1.5b | (-.f64 (tan.f64 x) x) | |
| 1.5b | (-.f64 (sin.f64 x) x) | |
| ✓ | 1.5b | (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) |
Compiled 36 to 8 computations (77.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) |
| 0.0ms | x | @ | inf | (/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x)) |
| 0.0ms | x | @ | -inf | (/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x)) |
| 0.0ms | x | @ | inf | (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) |
| 0.0ms | x | @ | -inf | (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) |
| 1× | batch-egg-rewrite |
| 786× | prod-diff_binary64 |
| 482× | log-prod_binary64 |
| 330× | fma-def_binary64 |
| 323× | pow-prod-down_binary64 |
| 263× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 190 | 20 |
| 2 | 2792 | 20 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 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x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1)))))) |
| 1× | egg-herbie |
| 597× | div-sub_binary64 |
| 510× | times-frac_binary64 |
| 383× | fma-def_binary64 |
| 282× | associate-/l*_binary64 |
| 217× | distribute-neg-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 544 |
| 1 | 261 | 468 |
| 2 | 866 | 434 |
| 3 | 4526 | 406 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))) |
(*.f64 -1 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
| Outputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/362880 (pow.f64 x 9) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7))))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 1/362880 (pow.f64 x 9))))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) (*.f64 1/362880 (pow.f64 x 9))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(-.f64 (sin.f64 x) x) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 x (*.f64 x 9/40) -1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) |
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2) |
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2)) |
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x)))) |
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (+.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))) (-.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x (pow.f64 (cos.f64 x) 2))))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x)))) |
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)) |
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (+.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))) (-.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x (pow.f64 (cos.f64 x) 2))))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (cbrt.f64 (-.f64 (tan.f64 x) x)) |
| ✓ | 0.4b | (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) |
| 1.5b | (-.f64 (tan.f64 x) x) | |
| 1.5b | (-.f64 (sin.f64 x) x) |
Compiled 51 to 19 computations (62.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) |
| 8.0ms | x | @ | inf | (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) |
| 3.0ms | x | @ | 0 | (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) |
| 2.0ms | x | @ | 0 | (cbrt.f64 (-.f64 (tan.f64 x) x)) |
| 1.0ms | x | @ | inf | (cbrt.f64 (-.f64 (tan.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 932× | pow1_binary64 |
| 877× | add-log-exp_binary64 |
| 876× | log1p-expm1-u_binary64 |
| 876× | expm1-log1p-u_binary64 |
| 855× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 201 | 17 |
| 2 | 2453 | 17 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) |
(cbrt.f64 (-.f64 (tan.f64 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -3/2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2)) 3) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) 1) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (tan.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2)) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) 1) (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) -1) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) (pow.f64 (-.f64 (tan.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) 1/3) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 2) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (cbrt.f64 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 x) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))))))) |
| 1× | egg-herbie |
| 561× | times-frac_binary64 |
| 505× | associate-/l*_binary64 |
| 473× | associate-/r*_binary64 |
| 465× | associate-*r*_binary64 |
| 420× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 316 |
| 1 | 229 | 266 |
| 2 | 664 | 234 |
| 3 | 2364 | 188 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 3 (pow.f64 x 3)) |
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (cbrt.f64 3)) 9/175) x)) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 (+.f64 116/7875 (+.f64 (*.f64 -2/5 (/.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (pow.f64 (cbrt.f64 3) 2))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 8/125 (/.f64 1 (pow.f64 (cbrt.f64 3) 6))) 2/45) (cbrt.f64 3))) (*.f64 116/2625 (/.f64 1 (pow.f64 (cbrt.f64 3) 4)))) (cbrt.f64 3)) (*.f64 1/3 (-.f64 (*.f64 8/125 (/.f64 1 (pow.f64 (cbrt.f64 3) 6))) 2/45))))) (pow.f64 x 3)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (cbrt.f64 3)) 9/175) x))) (*.f64 6/5 (/.f64 1 x))) |
(*.f64 (cbrt.f64 1/3) x) |
(+.f64 (*.f64 (cbrt.f64 1/3) x) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)))) |
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))))) |
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (+.f64 (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/3) 2)))))) |
| Outputs |
|---|
(/.f64 3 (pow.f64 x 3)) |
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 6/5 x)) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -6/5 x)) |
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (cbrt.f64 3)) 9/175) x)) (*.f64 6/5 (/.f64 1 x))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (*.f64 x (fma.f64 (-.f64 (/.f64 4/25 (pow.f64 (cbrt.f64 3) 4)) (/.f64 58/525 (cbrt.f64 3))) (cbrt.f64 3) 9/175)) (/.f64 6/5 x))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x (fma.f64 (cbrt.f64 3) (+.f64 (/.f64 4/25 (*.f64 3 (cbrt.f64 3))) (/.f64 -58/525 (cbrt.f64 3))) 9/175) (/.f64 -6/5 x))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x (fma.f64 (cbrt.f64 3) (+.f64 (/.f64 4/75 (cbrt.f64 3)) (/.f64 -58/525 (cbrt.f64 3))) 9/175) (/.f64 -6/5 x))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x -1/175 (/.f64 -6/5 x))) |
(-.f64 (+.f64 (*.f64 (+.f64 116/7875 (+.f64 (*.f64 -2/5 (/.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (pow.f64 (cbrt.f64 3) 2))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 8/125 (/.f64 1 (pow.f64 (cbrt.f64 3) 6))) 2/45) (cbrt.f64 3))) (*.f64 116/2625 (/.f64 1 (pow.f64 (cbrt.f64 3) 4)))) (cbrt.f64 3)) (*.f64 1/3 (-.f64 (*.f64 8/125 (/.f64 1 (pow.f64 (cbrt.f64 3) 6))) 2/45))))) (pow.f64 x 3)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (cbrt.f64 3)) 9/175) x))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (fma.f64 (+.f64 116/7875 (fma.f64 -2/5 (/.f64 (-.f64 (/.f64 4/25 (pow.f64 (cbrt.f64 3) 4)) (/.f64 58/525 (cbrt.f64 3))) (pow.f64 (cbrt.f64 3) 2)) (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 (/.f64 8/125 (pow.f64 (cbrt.f64 3) 6)) -2/45) (cbrt.f64 3)) (/.f64 116/2625 (pow.f64 (cbrt.f64 3) 4))) (cbrt.f64 3) (*.f64 (+.f64 (/.f64 8/125 (pow.f64 (cbrt.f64 3) 6)) -2/45) 1/3)))) (pow.f64 x 3) (+.f64 (/.f64 3 (pow.f64 x 3)) (*.f64 x (fma.f64 (-.f64 (/.f64 4/25 (pow.f64 (cbrt.f64 3) 4)) (/.f64 58/525 (cbrt.f64 3))) (cbrt.f64 3) 9/175)))) (/.f64 6/5 x)) |
(+.f64 (fma.f64 (pow.f64 x 3) (+.f64 (fma.f64 -2/5 (+.f64 (/.f64 4/25 (*.f64 (pow.f64 (cbrt.f64 3) 2) (*.f64 3 (cbrt.f64 3)))) -58/1575) (*.f64 (cbrt.f64 3) (+.f64 (/.f64 -28/1125 (cbrt.f64 3)) (/.f64 116/2625 (*.f64 3 (cbrt.f64 3)))))) 2/875) (fma.f64 x (fma.f64 (cbrt.f64 3) (+.f64 (/.f64 4/25 (*.f64 3 (cbrt.f64 3))) (/.f64 -58/525 (cbrt.f64 3))) 9/175) (/.f64 3 (pow.f64 x 3)))) (/.f64 -6/5 x)) |
(+.f64 (fma.f64 x (fma.f64 (cbrt.f64 3) (+.f64 (/.f64 4/75 (cbrt.f64 3)) (/.f64 -58/525 (cbrt.f64 3))) 9/175) (/.f64 3 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) (+.f64 (*.f64 (cbrt.f64 3) (+.f64 (/.f64 -28/1125 (cbrt.f64 3)) (/.f64 116/7875 (cbrt.f64 3)))) 26/2625) (/.f64 -6/5 x))) |
(fma.f64 (pow.f64 x 3) (+.f64 194/7875 (/.f64 (*.f64 (cbrt.f64 3) -28/1125) (cbrt.f64 3))) (+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x -1/175 (/.f64 -6/5 x)))) |
(*.f64 (cbrt.f64 1/3) x) |
(*.f64 x (cbrt.f64 1/3)) |
(+.f64 (*.f64 (cbrt.f64 1/3) x) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)))) |
(fma.f64 (cbrt.f64 1/3) x (/.f64 (*.f64 2/45 (pow.f64 x 3)) (pow.f64 (cbrt.f64 1/3) 2))) |
(fma.f64 x (cbrt.f64 1/3) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)))) |
(fma.f64 x (cbrt.f64 1/3) (/.f64 (*.f64 (pow.f64 x 3) 2/45) (pow.f64 (cbrt.f64 1/3) 2))) |
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))))) |
(fma.f64 (cbrt.f64 1/3) x (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))))) |
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))))) |
(fma.f64 x (cbrt.f64 1/3) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 (*.f64 (pow.f64 x 3) 2/45) (pow.f64 (cbrt.f64 1/3) 2)))) |
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (+.f64 (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/3) 2)))))) |
(fma.f64 (cbrt.f64 1/3) x (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 1/3 (/.f64 (-.f64 866/70875 (/.f64 8/91125 (pow.f64 (cbrt.f64 1/3) 6))) (/.f64 (pow.f64 (cbrt.f64 1/3) 2) (pow.f64 x 7))))))) |
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 (*.f64 2/525 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/3) 2))))) |
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 (*.f64 (pow.f64 x 7) 2/525) (pow.f64 (cbrt.f64 1/3) 2))))) |
(fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 x (cbrt.f64 1/3) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 1/3) 2)) 2/525)))) |
Compiled 35143 to 12897 computations (63.3% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1334 | 3 | 1337 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 1335 | 12 | 1347 |
| Status | Error | Program |
|---|---|---|
| ✓ | 34.0b | (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
| ✓ | 28.5b | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) |
| ▶ | 29.9b | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
| ✓ | 29.9b | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| ✓ | 48.8b | (/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x)) |
| ✓ | 34.8b | (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
| ▶ | 34.0b | (-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2) |
| 29.5b | 1 | |
| ✓ | 29.3b | (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) (-.f64 (sin.f64 x) x)) |
| ✓ | 28.6b | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 34.7b | -1/2 | |
| ✓ | 28.5b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
Compiled 119 to 86 computations (27.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 9/40 (*.f64 x x)) | |
| ✓ | 1.5b | (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) |
Compiled 40 to 25 computations (37.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) |
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) |
| 1× | batch-egg-rewrite |
| 816× | pow1_binary64 |
| 769× | add-log-exp_binary64 |
| 768× | log1p-expm1-u_binary64 |
| 768× | expm1-log1p-u_binary64 |
| 756× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 178 | 7 |
| 2 | 2398 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 9/40 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9/40 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9/40 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 9/40 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9/40 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9/40 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 9/40 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/40 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/40 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 9/40 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 9/40 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 9/40 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 9/40 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 9/40 (*.f64 x x) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) -1) (fma.f64 9/40 (*.f64 x x) -1)) (fma.f64 9/40 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) -1) (fma.f64 9/40 (*.f64 x x) -1))) (-.f64 1 (fma.f64 9/40 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 9/40 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) -1))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 105 | 84 |
| 5 | 331 | 84 |
| 6 | 1250 | 84 |
| 7 | 2123 | 84 |
| 8 | 2287 | 84 |
| 9 | 2471 | 84 |
| 10 | 2679 | 84 |
| 11 | 2976 | 84 |
| 12 | 3371 | 84 |
| 13 | 3852 | 84 |
| 14 | 4418 | 84 |
| 15 | 5102 | 84 |
| 16 | 5935 | 84 |
| 17 | 6327 | 84 |
| 18 | 6619 | 84 |
| 19 | 6895 | 84 |
| 20 | 6969 | 84 |
| 21 | 7003 | 84 |
| 22 | 7944 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) |
| ✓ | 0.0b | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
| 1.5b | (-.f64 (tan.f64 x) x) |
Compiled 27 to 8 computations (70.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
| 1.0ms | x | @ | -inf | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 933× | pow1_binary64 |
| 873× | add-log-exp_binary64 |
| 873× | log1p-expm1-u_binary64 |
| 873× | expm1-log1p-u_binary64 |
| 95× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 1 | 183 | 18 |
| 2 | 2939 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
(/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (neg.f64 (tan.f64 x)) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) x) (neg.f64 (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 x) x) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (tan.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (tan.f64 x) x) 1) (/.f64 (/.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (tan.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (tan.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) -1) (/.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x))) (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) |
| 1× | egg-herbie |
| 809× | associate-/l/_binary64 |
| 548× | distribute-lft-out_binary64 |
| 439× | associate-*l/_binary64 |
| 369× | associate-*r/_binary64 |
| 343× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 446 |
| 1 | 164 | 432 |
| 2 | 467 | 426 |
| 3 | 2202 | 396 |
| 4 | 6367 | 396 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -3 (pow.f64 x 2)) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
(*.f64 -1/3 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 -2/15 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (*.f64 -17/315 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (+.f64 (*.f64 -62/2835 (pow.f64 x 8)) (*.f64 -17/315 (pow.f64 x 6))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
| Outputs |
|---|
(/.f64 -3 (pow.f64 x 2)) |
(/.f64 -3 (*.f64 x x)) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 3 (*.f64 x x))) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (/.f64 3 (*.f64 x x))) |
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (/.f64 -3 (*.f64 x x))) |
(+.f64 6/5 (fma.f64 x (*.f64 x 1/175) (/.f64 -3 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (*.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 1/175 (+.f64 (fma.f64 2/7875 (pow.f64 x 4) 6/5) (/.f64 -3 (*.f64 x x)))) |
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (fma.f64 2/7875 (pow.f64 x 4) (/.f64 -3 (*.f64 x x)))) |
(+.f64 6/5 (fma.f64 2/7875 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/175) (/.f64 -3 (*.f64 x x))))) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)))) |
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3)) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)))) |
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3)) |
(*.f64 -1/3 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -1/3) |
(*.f64 x (*.f64 x -1/3)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 -2/15 (pow.f64 x 4))) |
(fma.f64 -1/3 (*.f64 x x) (*.f64 (pow.f64 x 4) -2/15)) |
(fma.f64 (*.f64 x x) -1/3 (*.f64 (pow.f64 x 4) -2/15)) |
(fma.f64 (pow.f64 x 4) -2/15 (*.f64 x (*.f64 x -1/3))) |
(fma.f64 x (*.f64 x -1/3) (*.f64 (pow.f64 x 4) -2/15)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (*.f64 -17/315 (pow.f64 x 6)))) |
(fma.f64 -1/3 (*.f64 x x) (fma.f64 -2/15 (pow.f64 x 4) (*.f64 -17/315 (pow.f64 x 6)))) |
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 4) -2/15 (*.f64 -17/315 (pow.f64 x 6)))) |
(fma.f64 (pow.f64 x 4) -2/15 (fma.f64 -17/315 (pow.f64 x 6) (*.f64 x (*.f64 x -1/3)))) |
(fma.f64 (pow.f64 x 4) -2/15 (fma.f64 x (*.f64 x -1/3) (*.f64 -17/315 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (+.f64 (*.f64 -62/2835 (pow.f64 x 8)) (*.f64 -17/315 (pow.f64 x 6))))) |
(fma.f64 -1/3 (*.f64 x x) (fma.f64 -2/15 (pow.f64 x 4) (fma.f64 -62/2835 (pow.f64 x 8) (*.f64 -17/315 (pow.f64 x 6))))) |
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 4) -2/15 (fma.f64 -62/2835 (pow.f64 x 8) (*.f64 -17/315 (pow.f64 x 6))))) |
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 4) -2/15 (fma.f64 -17/315 (pow.f64 x 6) (*.f64 -62/2835 (pow.f64 x 8))))) |
(fma.f64 x (*.f64 x -1/3) (fma.f64 -17/315 (pow.f64 x 6) (fma.f64 -62/2835 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -2/15)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) |
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) |
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) |
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) |
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) |
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) |
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
Compiled 4310 to 2174 computations (49.6% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 283 | 0 | 283 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 283 | 12 | 295 |
| Status | Error | Program |
|---|---|---|
| ✓ | 34.0b | (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
| ✓ | 28.5b | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) |
| ✓ | 29.9b | (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
| ✓ | 29.9b | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| ✓ | 48.8b | (/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x)) |
| ✓ | 34.8b | (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
| ✓ | 34.0b | (-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2) |
| 29.5b | 1 | |
| ✓ | 29.3b | (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) (-.f64 (sin.f64 x) x)) |
| ✓ | 28.6b | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 34.7b | -1/2 | |
| ✓ | 28.5b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
Compiled 119 to 86 computations (27.7% saved)
| Inputs |
|---|
1 |
1 |
-1/2 |
1 |
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2) |
(fma.f64 x (*.f64 x 9/40) -1/2) |
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) |
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x))) |
| Outputs |
|---|
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) |
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) |
3 calls:
| 106.0ms | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| 58.0ms | x |
| 11.0ms | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.3b | 2 | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| 0.3b | 2 | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
Compiled 189 to 93 computations (50.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 70.0ms | 0.0017676360683135392 | 1229259.9043542584 |
| 64.0ms | -0.38924124268656957 | -0.00018428811975539547 |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
1 |
1 |
-1/2 |
1 |
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2) |
(fma.f64 x (*.f64 x 9/40) -1/2) |
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
3 calls:
| 57.0ms | x |
| 13.0ms | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| 10.0ms | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.3b | 2 | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| 0.3b | 2 | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
Compiled 100 to 59 computations (41% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 135.0ms | 0.0017676360683135392 | 1229259.9043542584 |
| 70.0ms | -0.38924124268656957 | -0.00018428811975539547 |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
1 |
1 |
-1/2 |
1 |
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2) |
(fma.f64 x (*.f64 x 9/40) -1/2) |
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
| Outputs |
|---|
1 |
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
1 calls:
| 54.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
Compiled 62 to 41 computations (33.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 0.0017676360683135392 | 1229259.9043542584 |
| 160.0ms | -178.07049054113483 | -0.38924124268656957 |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
1 |
1 |
-1/2 |
1 |
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2) |
(fma.f64 x (*.f64 x 9/40) -1/2) |
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
| Outputs |
|---|
1 |
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))) |
1 calls:
| 33.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
Compiled 47 to 30 computations (36.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 56.0ms | 0.0017676360683135392 | 1229259.9043542584 |
| 87.0ms | -178.07049054113483 | -0.38924124268656957 |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
1 |
1 |
-1/2 |
1 |
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2) |
(fma.f64 x (*.f64 x 9/40) -1/2) |
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| Outputs |
|---|
1 |
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
1 calls:
| 79.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
Compiled 38 to 27 computations (28.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 0.0017676360683135392 | 1229259.9043542584 |
| 35.0ms | -178.07049054113483 | -0.38924124268656957 |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
1 |
1 |
-1/2 |
1 |
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2) |
(fma.f64 x (*.f64 x 9/40) -1/2) |
| Outputs |
|---|
1 |
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) |
1 |
1 calls:
| 95.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
Compiled 31 to 23 computations (25.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 204.0ms | 0.0017676360683135392 | 1229259.9043542584 |
| 101.0ms | -178.07049054113483 | -0.38924124268656957 |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
1 |
1 |
-1/2 |
1 |
| Outputs |
|---|
1 |
-1/2 |
1 |
1 calls:
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 3 | x |
Compiled 7 to 6 computations (14.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 0.0017676360683135392 | 1229259.9043542584 |
| 54.0ms | -178.07049054113483 | -0.38924124268656957 |
Compiled 14 to 9 computations (35.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
1 |
1 |
| Outputs |
|---|
1 |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 29.5b | 1 | x |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 281 |
| 1 | 65 | 281 |
| 2 | 73 | 281 |
| 3 | 76 | 281 |
| 4 | 77 | 281 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))) |
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))))) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))))) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 1)) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) -1/2 1)) |
1 |
| Outputs |
|---|
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))) |
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))) |
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))))) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))))) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))))) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))))) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 1)) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) 1)) |
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) -1/2 1)) |
1 |
Compiled 198 to 134 computations (32.3% saved)
| 2× | egg-herbie |
| 583× | fma-neg_binary64 |
| 583× | fma-neg_binary64 |
| 430× | fma-def_binary64 |
| 430× | fma-def_binary64 |
| 418× | div-sub_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 14 | 14 |
| 2 | 24 | 14 |
| 3 | 41 | 14 |
| 4 | 75 | 14 |
| 5 | 130 | 14 |
| 6 | 260 | 14 |
| 7 | 546 | 14 |
| 8 | 1420 | 14 |
| 9 | 2566 | 14 |
| 10 | 3392 | 14 |
| 11 | 3757 | 14 |
| 12 | 3886 | 14 |
| 13 | 3913 | 14 |
| 14 | 3923 | 14 |
| 15 | 3927 | 14 |
| 16 | 3927 | 14 |
| 0 | 7 | 14 |
| 1 | 14 | 14 |
| 2 | 24 | 14 |
| 3 | 41 | 14 |
| 4 | 75 | 14 |
| 5 | 130 | 14 |
| 6 | 260 | 14 |
| 7 | 546 | 14 |
| 8 | 1420 | 14 |
| 9 | 2566 | 14 |
| 10 | 3392 | 14 |
| 11 | 3757 | 14 |
| 12 | 3886 | 14 |
| 13 | 3913 | 14 |
| 14 | 3923 | 14 |
| 15 | 3927 | 14 |
| 16 | 3927 | 14 |
| 1× | saturated |
| 1× | saturated |
Compiled 392 to 264 computations (32.7% saved)
Compiled 191 to 109 computations (42.9% saved)
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