Time bar (total: 10.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 8 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 9 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 10 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 11 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.7s | 6230× | body | 256 | valid |
| 1.4s | 1357× | body | 1024 | valid |
| 401.0ms | 668× | body | 512 | valid |
| 1.0ms | 1× | body | 2048 | valid |
| 2× | egg-herbie |
| 792× | fma-neg_binary64 |
| 609× | fma-def_binary64 |
| 208× | cancel-sign-sub-inv_binary64 |
| 156× | distribute-rgt-in_binary64 |
| 147× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 56 |
| 1 | 57 | 56 |
| 2 | 128 | 56 |
| 3 | 237 | 56 |
| 4 | 428 | 56 |
| 5 | 700 | 56 |
| 6 | 1229 | 56 |
| 7 | 2101 | 56 |
| 8 | 2773 | 56 |
| 9 | 3156 | 56 |
| 10 | 3188 | 56 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x))) |
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x))) |
(+.f64 y (-.f64 (cos.f64 x) (*.f64 z (sin.f64 x)))) |
(+.f64 (cos.f64 x) (-.f64 y (*.f64 z (sin.f64 x)))) |
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(+.f64 z (-.f64 (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) |
(-.f64 (cos.f64 y) (fma.f64 x (sin.f64 y) (neg.f64 z))) |
(+.f64 (cos.f64 y) (-.f64 z (*.f64 x (sin.f64 y)))) |
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z))) |
(+.f64 x (-.f64 (cos.f64 z) (*.f64 y (sin.f64 z)))) |
(+.f64 (cos.f64 z) (-.f64 x (*.f64 y (sin.f64 z)))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 228× | fma-def_binary64 |
| 171× | fma-neg_binary64 |
| 68× | cancel-sign-sub-inv_binary64 |
| 43× | distribute-rgt-in_binary64 |
| 39× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 18 | 14 |
| 2 | 38 | 14 |
| 3 | 67 | 14 |
| 4 | 118 | 14 |
| 5 | 183 | 14 |
| 6 | 322 | 14 |
| 7 | 532 | 14 |
| 8 | 683 | 14 |
| 9 | 848 | 14 |
| 10 | 952 | 14 |
| 11 | 962 | 14 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))) |
Compiled 21 to 11 computations (47.6% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (cos.f64 y) |
| ✓ | 0.0b | (+.f64 x (cos.f64 y)) |
| ✓ | 0.2b | (*.f64 z (sin.f64 y)) |
Compiled 27 to 8 computations (70.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 z (sin.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 z (sin.f64 y)) |
| 1.0ms | y | @ | inf | (*.f64 z (sin.f64 y)) |
| 1.0ms | y | @ | 0 | (+.f64 x (cos.f64 y)) |
| 0.0ms | z | @ | inf | (*.f64 z (sin.f64 y)) |
| 1× | batch-egg-rewrite |
| 890× | pow1_binary64 |
| 820× | add-log-exp_binary64 |
| 820× | log1p-expm1-u_binary64 |
| 820× | expm1-log1p-u_binary64 |
| 801× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 166 | 15 |
| 2 | 2201 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (sin.f64 y)) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y))))))) |
| 1× | egg-herbie |
| 930× | distribute-lft-out_binary64 |
| 557× | associate-*l*_binary64 |
| 506× | unswap-sqr_binary64 |
| 462× | sqr-pow_binary64 |
| 429× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 293 |
| 1 | 134 | 288 |
| 2 | 350 | 273 |
| 3 | 1101 | 273 |
| 4 | 3002 | 273 |
| 5 | 4756 | 273 |
| 6 | 6551 | 273 |
| 7 | 6875 | 273 |
| 8 | 7227 | 273 |
| 9 | 7617 | 273 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 1/120 (pow.f64 y 5)))) |
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5)))))) |
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))))) |
(*.f64 z (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(cos.f64 y) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
x |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x)) |
(+.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 x (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) x) (fma.f64 1/24 (pow.f64 y 4) 1)) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1)) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (*.f64 y y) x) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
(+.f64 (cos.f64 y) x) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 y y))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 y -1/2)))) |
(fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) 1)) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 y -1/2))) (fma.f64 -1/720 (pow.f64 y 6) 1)) |
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) 1))) |
Compiled 1292 to 522 computations (59.6% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 8 | 87 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 79 | 9 | 88 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (-.f64 (+.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| ▶ | 25.0b | (-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
| 8.5b | (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) | |
| ▶ | 19.1b | (-.f64 x (*.f64 z (sin.f64 y))) |
| 26.2b | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| ✓ | 0.1b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ▶ | 21.0b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) |
| 26.4b | (-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) | |
| ▶ | 0.4b | (-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) |
Compiled 216 to 154 computations (28.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 y) | |
| ✓ | 0.1b | (exp.f64 (cos.f64 y)) |
| 0.2b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.4b | (log.f64 (exp.f64 (cos.f64 y))) |
Compiled 38 to 10 computations (73.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (log.f64 (exp.f64 (cos.f64 y))) |
| 1.0ms | y | @ | 0 | (exp.f64 (cos.f64 y)) |
| 0.0ms | y | @ | 0 | (log.f64 (exp.f64 (cos.f64 y))) |
| 0.0ms | y | @ | inf | (exp.f64 (cos.f64 y)) |
| 0.0ms | y | @ | -inf | (exp.f64 (cos.f64 y)) |
| 1× | batch-egg-rewrite |
| 341× | pow1_binary64 |
| 326× | add-sqr-sqrt_binary64 |
| 321× | *-un-lft-identity_binary64 |
| 312× | log1p-expm1-u_binary64 |
| 312× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 79 | 8 |
| 2 | 856 | 8 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (cos.f64 y))) |
(exp.f64 (cos.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 y)) (*.f64 1/2 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (cos.f64 y)) (*.f64 2 (*.f64 1/3 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (cos.f64 y))) (*.f64 1/3 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 1 y)) (cos.f64 1)) (*.f64 (sin.f64 (+.f64 1 y)) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (cos.f64 y)) 1) (*.f64 (*.f64 1/2 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (*.f64 1/3 (cos.f64 y))) 1) (*.f64 (*.f64 1/3 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/4) (sqrt.f64 (pow.f64 (cos.f64 y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 5/2)) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 3/2)) (pow.f64 (cos.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 5)) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) (cbrt.f64 (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 y) 5/2) 1/3) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y))) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (cos.f64 y) 3)) (+.f64 0 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 0 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 y)) 3) (pow.f64 (*.f64 1/2 (cos.f64 y)) 3)) (+.f64 (*.f64 (*.f64 1/2 (cos.f64 y)) (*.f64 1/2 (cos.f64 y))) (-.f64 (*.f64 (*.f64 1/2 (cos.f64 y)) (*.f64 1/2 (cos.f64 y))) (*.f64 (*.f64 1/2 (cos.f64 y)) (*.f64 1/2 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 (cos.f64 y)) (*.f64 1/2 (cos.f64 y))) (*.f64 (*.f64 1/2 (cos.f64 y)) (*.f64 1/2 (cos.f64 y)))) (-.f64 (*.f64 1/2 (cos.f64 y)) (*.f64 1/2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (cos.f64 y))) 3) (pow.f64 (*.f64 1/3 (cos.f64 y)) 3)) (+.f64 (*.f64 (*.f64 2 (*.f64 1/3 (cos.f64 y))) (*.f64 2 (*.f64 1/3 (cos.f64 y)))) (-.f64 (*.f64 (*.f64 1/3 (cos.f64 y)) (*.f64 1/3 (cos.f64 y))) (*.f64 (*.f64 2 (*.f64 1/3 (cos.f64 y))) (*.f64 1/3 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y))) 1) (+.f64 (+.f64 1 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (cos.f64 y) 2)) (-.f64 0 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 2 (*.f64 1/3 (cos.f64 y))) (*.f64 2 (*.f64 1/3 (cos.f64 y)))) (*.f64 (*.f64 1/3 (cos.f64 y)) (*.f64 1/3 (cos.f64 y)))) (-.f64 (*.f64 2 (*.f64 1/3 (cos.f64 y))) (*.f64 1/3 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 y)))) (sqrt.f64 (log.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 y))) 2)) (cbrt.f64 (log.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (exp.f64 (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (cos.f64 y))) 2))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (cos.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2) (cbrt.f64 (exp.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (cos.f64 y)) 1/4) (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 5/2)) (pow.f64 (exp.f64 (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 (exp.f64 (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 5)) (pow.f64 (exp.f64 (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3/2)) (pow.f64 (exp.f64 (cos.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (cos.f64 y)) (cbrt.f64 (exp.f64 (cos.f64 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) 5/2) 1/3) (pow.f64 (exp.f64 (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 1/2 (cos.f64 y))) (pow.f64 (E.f64) (*.f64 1/2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (cos.f64 y)))) (pow.f64 (E.f64) (*.f64 1/3 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 1 (cos.f64 y))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (+.f64 1 (cos.f64 y))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 3) 1) (+.f64 (*.f64 (+.f64 1 (exp.f64 (cos.f64 y))) (+.f64 1 (exp.f64 (cos.f64 y)))) (+.f64 1 (*.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (cos.f64 y)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2) (expm1.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (exp.f64 (cos.f64 y))) (+.f64 1 (exp.f64 (cos.f64 y)))) 1) (+.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (expm1.f64 (cos.f64 y)) 2)) (-.f64 1 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (cos.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (pow.f64 (cos.f64 y) 1/6)) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (pow.f64 (cos.f64 y) 1/4)) (pow.f64 (cos.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y)))))))) |
| 1× | egg-herbie |
| 651× | fma-def_binary64 |
| 626× | distribute-rgt-out_binary64 |
| 499× | associate-*l*_binary64 |
| 474× | distribute-lft-out_binary64 |
| 424× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 150 |
| 1 | 88 | 146 |
| 2 | 227 | 134 |
| 3 | 723 | 130 |
| 4 | 3013 | 130 |
| 5 | 5270 | 130 |
| 6 | 6647 | 130 |
| 7 | 6877 | 130 |
| 8 | 7094 | 130 |
| 9 | 7367 | 130 |
| 10 | 7704 | 130 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(exp.f64 1) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 y y))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(fma.f64 y (*.f64 -1/2 y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) |
(fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/24 -1/2) 1) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 1)) |
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/2 (*.f64 y y) 1))) |
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 1))) |
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/24 -1/2) 1)) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(exp.f64 1) |
(E.f64) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1)) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (E.f64)) (E.f64)) |
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)) |
(*.f64 (fma.f64 y (*.f64 -1/2 y) 1) (E.f64)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (E.f64))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (E.f64))) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (E.f64))) |
(fma.f64 (E.f64) (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/6)) (E.f64)) |
(*.f64 (E.f64) (fma.f64 -1/2 (*.f64 y y) (fma.f64 (pow.f64 y 4) 1/6 1))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1)))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (fma.f64 -31/720 (*.f64 (pow.f64 y 6) (E.f64)) (E.f64)))) |
(+.f64 (*.f64 (E.f64) (+.f64 (*.f64 (pow.f64 y 4) 1/6) (*.f64 (pow.f64 y 6) -31/720))) (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64))) |
(fma.f64 (E.f64) (fma.f64 (pow.f64 y 4) 1/6 (*.f64 (pow.f64 y 6) -31/720)) (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64))) |
(fma.f64 (E.f64) (fma.f64 -1/2 (*.f64 y y) (fma.f64 (pow.f64 y 4) 1/6 (*.f64 (pow.f64 y 6) -31/720))) (E.f64)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.2b | (*.f64 z (sin.f64 y)) |
Compiled 18 to 6 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | y | @ | 0 | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | y | @ | inf | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | z | @ | -inf | (-.f64 x (*.f64 z (sin.f64 y))) |
| 0.0ms | z | @ | 0 | (-.f64 x (*.f64 z (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 833× | pow1_binary64 |
| 770× | add-log-exp_binary64 |
| 770× | log1p-expm1-u_binary64 |
| 770× | expm1-log1p-u_binary64 |
| 753× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 151 | 9 |
| 2 | 2084 | 9 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
| 1× | egg-herbie |
| 825× | distribute-rgt-neg-in_binary64 |
| 809× | fma-def_binary64 |
| 703× | distribute-lft-neg-in_binary64 |
| 596× | unswap-sqr_binary64 |
| 549× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 262 |
| 1 | 74 | 241 |
| 2 | 196 | 236 |
| 3 | 502 | 233 |
| 4 | 1500 | 232 |
| 5 | 4261 | 232 |
| 6 | 6535 | 232 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 z y) x) |
(-.f64 x (*.f64 z y)) |
(fma.f64 z (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)) |
(fma.f64 -1 (*.f64 z y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) |
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 z y)) |
(fma.f64 z (fma.f64 -1 y (*.f64 1/6 (pow.f64 y 3))) x) |
(fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) x) |
(fma.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))) |
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))) |
(-.f64 (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y)) |
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) (-.f64 x (*.f64 z y))) |
(fma.f64 z (fma.f64 -1 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) x) |
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 y) | |
| 0.0b | (+.f64 x (cos.f64 y)) |
Compiled 23 to 7 computations (69.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 y) | |
| 0.2b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3) |
| ✓ | 7.4b | (cbrt.f64 (*.f64 z (sin.f64 y))) |
Compiled 43 to 14 computations (67.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3) |
| 3.0ms | y | @ | -inf | (cbrt.f64 (*.f64 z (sin.f64 y))) |
| 2.0ms | y | @ | inf | (cbrt.f64 (*.f64 z (sin.f64 y))) |
| 2.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3) |
| 1.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3) |
| 1× | batch-egg-rewrite |
| 638× | pow1_binary64 |
| 596× | add-log-exp_binary64 |
| 596× | log1p-expm1-u_binary64 |
| 596× | expm1-log1p-u_binary64 |
| 581× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 166 | 14 |
| 2 | 1669 | 14 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 1290× | sqr-pow_binary64 |
| 676× | cube-prod_binary64 |
| 666× | pow-sqr_binary64 |
| 556× | fabs-mul_binary64 |
| 373× | unpow3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 136 |
| 1 | 26 | 112 |
| 2 | 40 | 112 |
| 3 | 51 | 112 |
| 4 | 75 | 112 |
| 5 | 161 | 112 |
| 6 | 525 | 112 |
| 7 | 1190 | 112 |
| 8 | 1282 | 112 |
| 9 | 1420 | 112 |
| 10 | 1583 | 112 |
| 11 | 1822 | 112 |
| 12 | 2149 | 112 |
| 13 | 2576 | 112 |
| 14 | 3081 | 112 |
| 15 | 3688 | 112 |
| 16 | 4411 | 112 |
| 17 | 4734 | 112 |
| 18 | 5018 | 112 |
| 19 | 5242 | 112 |
| 20 | 5418 | 112 |
| 21 | 5498 | 112 |
| 22 | 6441 | 112 |
| 23 | 7418 | 112 |
| 24 | 7884 | 112 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 z (sin.f64 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 y) | |
| ✓ | 0.4b | (pow.f64 (sin.f64 y) 3) |
| ✓ | 9.4b | (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) |
| ✓ | 35.6b | (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) |
Compiled 53 to 29 computations (45.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) |
| 1.0ms | y | @ | inf | (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) |
| 1.0ms | z | @ | 0 | (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) |
| 1.0ms | y | @ | -inf | (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) |
| 1.0ms | y | @ | 0 | (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) |
| 1× | batch-egg-rewrite |
| 776× | pow1_binary64 |
| 722× | add-log-exp_binary64 |
| 722× | log1p-expm1-u_binary64 |
| 722× | expm1-log1p-u_binary64 |
| 700× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 194 | 21 |
| 2 | 2045 | 21 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) |
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (sin.f64 y) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (cbrt.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) 1/3) (cbrt.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3) (pow.f64 (pow.f64 z 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 z 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 y) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sin.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3) (pow.f64 (sqrt.f64 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 736× | distribute-lft-out_binary64 |
| 679× | distribute-rgt-in_binary64 |
| 676× | unswap-sqr_binary64 |
| 419× | fma-def_binary64 |
| 386× | distribute-lft-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 646 |
| 1 | 164 | 623 |
| 2 | 568 | 594 |
| 3 | 2197 | 594 |
| 4 | 3216 | 591 |
| 5 | 4648 | 591 |
| 6 | 5054 | 591 |
| 7 | 5314 | 591 |
| 8 | 5686 | 591 |
| 9 | 6475 | 591 |
| 10 | 7713 | 591 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3))))) |
(+.f64 (*.f64 -41/3024 (*.f64 (pow.f64 y 9) (pow.f64 z 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3)))))) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(pow.f64 y 3) |
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5))) |
(+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 y 5)) (*.f64 13/120 (pow.f64 y 7)))) |
(+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 y 5)) (+.f64 (*.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7))))) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))) |
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))) |
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(*.f64 z (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1))) |
(*.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cbrt.f64 -1))) |
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1))) |
(*.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cbrt.f64 -1))) |
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1))) |
(*.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cbrt.f64 -1))) |
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1))) |
(*.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cbrt.f64 -1))) |
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 y z) 3) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) |
(fma.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3)) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) |
(*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3))))) |
(fma.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3)) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3))))) |
(+.f64 (*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))) (*.f64 (pow.f64 y 7) (*.f64 (pow.f64 z 3) 13/120))) |
(*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3)))) |
(+.f64 (*.f64 -41/3024 (*.f64 (pow.f64 y 9) (pow.f64 z 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3)))))) |
(fma.f64 -41/3024 (*.f64 (pow.f64 z 3) (pow.f64 y 9)) (fma.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3)) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3)))))) |
(+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 (pow.f64 y 7) 13/120) (pow.f64 y 3))) (*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 5) -1/2 (*.f64 -41/3024 (pow.f64 y 9))))) |
(*.f64 (pow.f64 z 3) (+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (fma.f64 (pow.f64 y 7) 13/120 (*.f64 -41/3024 (pow.f64 y 9))))) |
(*.f64 (pow.f64 z 3) (+.f64 (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 5) -1/2)) (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3)))) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) |
(pow.f64 y 3) |
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5))) |
(+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2)) |
(fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) |
(+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 y 5)) (*.f64 13/120 (pow.f64 y 7)))) |
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (*.f64 (pow.f64 y 7) 13/120))) |
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (*.f64 (pow.f64 y 7) 13/120))) |
(fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3))) |
(+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 y 5)) (+.f64 (*.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7))))) |
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120)))) |
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (*.f64 -41/3024 (pow.f64 y 9))))) |
(+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (fma.f64 (pow.f64 y 7) 13/120 (*.f64 -41/3024 (pow.f64 y 9)))) |
(+.f64 (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 5) -1/2)) (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3))) |
Compiled 8042 to 3527 computations (56.1% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 477 | 16 | 493 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 483 | 19 | 502 |
| Status | Error | Program |
|---|---|---|
| 43.9b | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) | |
| 0.7b | (-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3) 3)) | |
| 25.7b | (-.f64 (+.f64 x 1) (*.f64 y z)) | |
| 26.2b | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| ✓ | 0.1b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 45.2b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) | |
| 0.4b | (-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3)) | |
| ▶ | 36.1b | (-.f64 x (*.f64 y z)) |
| 40.5b | (-.f64 x (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) | |
| ▶ | 34.3b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
| 44.2b | (*.f64 z (neg.f64 (sin.f64 y))) | |
| ▶ | 8.5b | (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
| 36.2b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) | |
| ▶ | 20.0b | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
| 37.1b | x | |
| ▶ | 0.1b | (-.f64 (+.f64 x (*.f64 3 (*.f64 1/3 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| ✓ | 21.0b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) |
| 42.6b | (-.f64 (cos.f64 y) (*.f64 y z)) | |
| 19.2b | (-.f64 x (-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)) |
Compiled 441 to 314 computations (28.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 y) | |
| 0.2b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.2b | (*.f64 3 (*.f64 1/3 (cos.f64 y))) |
| ✓ | 0.2b | (*.f64 1/3 (cos.f64 y)) |
Compiled 47 to 25 computations (46.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 1/3 (cos.f64 y)) |
| 0.0ms | y | @ | inf | (*.f64 1/3 (cos.f64 y)) |
| 0.0ms | y | @ | -inf | (*.f64 1/3 (cos.f64 y)) |
| 0.0ms | y | @ | 0 | (*.f64 3 (*.f64 1/3 (cos.f64 y))) |
| 0.0ms | y | @ | -inf | (*.f64 3 (*.f64 1/3 (cos.f64 y))) |
| 1× | batch-egg-rewrite |
| 520× | pow1_binary64 |
| 508× | add-sqr-sqrt_binary64 |
| 483× | add-log-exp_binary64 |
| 483× | log1p-expm1-u_binary64 |
| 483× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 143 | 9 |
| 2 | 1328 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (cos.f64 y)) |
(*.f64 3 (*.f64 1/3 (cos.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y))))))) |
| 1× | egg-herbie |
| 757× | *-commutative_binary64 |
| 652× | distribute-lft-out_binary64 |
| 499× | sqr-pow_binary64 |
| 452× | associate-+l+_binary64 |
| 432× | distribute-rgt-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 128 |
| 1 | 73 | 124 |
| 2 | 175 | 118 |
| 3 | 522 | 116 |
| 4 | 1996 | 116 |
| 5 | 3599 | 116 |
| 6 | 4444 | 116 |
| 7 | 4902 | 116 |
| 8 | 5681 | 116 |
| 9 | 6566 | 116 |
| 10 | 7095 | 116 |
| 11 | 7736 | 116 |
| 1× | node limit |
| Inputs |
|---|
1/3 |
(+.f64 1/3 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1/3 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/72 (pow.f64 y 4)))) |
(+.f64 1/3 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -1/2160 (pow.f64 y 6)) (*.f64 1/72 (pow.f64 y 4))))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
| Outputs |
|---|
1/3 |
(+.f64 1/3 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1/3 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1/3) |
(fma.f64 y (*.f64 -1/6 y) 1/3) |
(+.f64 1/3 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/72 (pow.f64 y 4)))) |
(+.f64 1/3 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/72 (pow.f64 y 4)))) |
(fma.f64 1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1/3)) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/72 (pow.f64 y 4) 1/3)) |
(+.f64 1/3 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -1/2160 (pow.f64 y 6)) (*.f64 1/72 (pow.f64 y 4))))) |
(+.f64 1/3 (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/2160 (pow.f64 y 6) (*.f64 1/72 (pow.f64 y 4))))) |
(+.f64 1/3 (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/72 (pow.f64 y 4) (*.f64 -1/2160 (pow.f64 y 6))))) |
(+.f64 (fma.f64 -1/6 (*.f64 y y) 1/3) (fma.f64 -1/2160 (pow.f64 y 6) (*.f64 1/72 (pow.f64 y 4)))) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/72 (pow.f64 y 4) (fma.f64 -1/2160 (pow.f64 y 6) 1/3))) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 (*.f64 y y) -1/2)) |
(fma.f64 (*.f64 y y) -1/2 1) |
(fma.f64 y (*.f64 y -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24))) |
(+.f64 1 (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 4) 1/24))) |
(fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (*.f64 y y) -1/2 1)) |
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24)))) |
(+.f64 (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 4) 1/24)) (fma.f64 (pow.f64 y 6) -1/720 1)) |
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (*.f64 y y) -1/2 1))) |
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (pow.f64 y 6) -1/720 1))) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 y z)) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (-.f64 x (*.f64 y z)) |
| 2.0ms | z | @ | inf | (-.f64 x (*.f64 y z)) |
| 0.0ms | x | @ | 0 | (-.f64 x (*.f64 y z)) |
| 0.0ms | y | @ | inf | (-.f64 x (*.f64 y z)) |
| 0.0ms | z | @ | -inf | (-.f64 x (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 738× | pow1_binary64 |
| 684× | add-log-exp_binary64 |
| 684× | log1p-expm1-u_binary64 |
| 684× | expm1-log1p-u_binary64 |
| 669× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 132 | 7 |
| 2 | 1860 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 x (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 y))))))) |
| 1× | egg-herbie |
| 101× | fma-def_binary64 |
| 56× | fma-neg_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 17× | sub-neg_binary64 |
| 13× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 250 |
| 1 | 15 | 223 |
| 2 | 31 | 223 |
| 3 | 44 | 223 |
| 4 | 56 | 223 |
| 5 | 87 | 223 |
| 6 | 147 | 223 |
| 7 | 194 | 223 |
| 8 | 252 | 223 |
| 9 | 339 | 223 |
| 10 | 389 | 223 |
| 11 | 395 | 223 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
x |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) x) |
(fma.f64 -1 (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 z (neg.f64 y) x) |
(-.f64 x (*.f64 y z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 z (sin.f64 y)) |
Compiled 24 to 11 computations (54.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 x (*.f64 z (sin.f64 y))) | |
| 0.2b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.5b | (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
Compiled 35 to 10 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
| 4.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
| 3.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
| 3.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
| 3.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
| 1× | batch-egg-rewrite |
| 649× | prod-diff_binary64 |
| 462× | log-prod_binary64 |
| 299× | pow-prod-down_binary64 |
| 251× | pow2_binary64 |
| 237× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 218 | 20 |
| 2 | 2568 | 20 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 z (neg.f64 (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 1/6) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) 1) 1)))))) |
| 1× | egg-herbie |
| 761× | distribute-lft-in_binary64 |
| 761× | distribute-rgt-in_binary64 |
| 430× | associate-*r*_binary64 |
| 353× | associate-*l*_binary64 |
| 318× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 2932 |
| 1 | 996 | 2528 |
| 2 | 3889 | 2412 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 z (sin.f64 y))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)))))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))))) (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))) |
(*.f64 (pow.f64 1 1/3) x) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y)))))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2)) (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))))))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))))) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (sin.f64 y) 3) x))))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3))))))))) (pow.f64 z 3))))) |
(*.f64 (pow.f64 1 1/3) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (*.f64 (pow.f64 1 1/3) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))))))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 z 3) x))))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2)))))))))))))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) |
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2))))))) |
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3)))))))))) |
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3)))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) |
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x)) |
(-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))) |
(fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9))))) (*.f64 x x) (fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x))) |
(fma.f64 (+.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9)) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x) (*.f64 z (sin.f64 y)))) |
(-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (/.f64 1 (*.f64 -1 (cbrt.f64 -1)))))) (*.f64 -1/9 (cbrt.f64 -1)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9))) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 z (sin.f64 y))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)))))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))))) (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))) |
(fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9))))) (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1)) (cbrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (fma.f64 2/27 (/.f64 (/.f64 1 z) (sin.f64 y)) (*.f64 (*.f64 -1/3 (/.f64 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1))) (cbrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))))))) (+.f64 (+.f64 (*.f64 -2/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -1/3 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 1/3 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 x 3) (fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x)))) |
(fma.f64 (+.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9)) (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (fma.f64 -1/3 (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (/.f64 2/27 (*.f64 z (sin.f64 y)))))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -2/27 (fma.f64 1/3 (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27))))) (pow.f64 x 3) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x) (*.f64 z (sin.f64 y))))) |
(fma.f64 (+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (/.f64 1 (*.f64 -1 (cbrt.f64 -1)))))) (*.f64 -1/9 (cbrt.f64 -1)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9)) (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (+.f64 (/.f64 2/27 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) (cbrt.f64 -1)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) -2/3))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1) 2)) -2/27 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (/.f64 1 (*.f64 -1 (cbrt.f64 -1)))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1) 2)) -5/27))))) (pow.f64 x 3) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))) x) (*.f64 z (sin.f64 y))))) |
(*.f64 (pow.f64 1 1/3) x) |
x |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y)))))) |
(+.f64 x (*.f64 z (*.f64 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) -1))) |
(fma.f64 z (*.f64 -1 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)))) x) |
(fma.f64 z (neg.f64 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)))) x) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2)) (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))))))) |
(+.f64 x (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))) -1/9) (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) 1/9)) (*.f64 z z) (*.f64 z (*.f64 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) -1)))) |
(+.f64 x (fma.f64 (*.f64 z z) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (*.f64 (pow.f64 (sin.f64 y) 2) -1/9)) (cbrt.f64 x) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) 1/9))) (*.f64 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) (neg.f64 z)))) |
(+.f64 x (*.f64 z (+.f64 (neg.f64 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)))) (*.f64 (fma.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (sin.f64 y) 2)))) (cbrt.f64 x) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) 1/9))) z)))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))))) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (sin.f64 y) 3) x))))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3))))))))) (pow.f64 z 3))))) |
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(*.f64 (pow.f64 1 1/3) x) |
x |
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(fma.f64 (*.f64 (*.f64 z (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) -1) y x) |
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (*.f64 z -1)) x) |
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))))) |
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(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (*.f64 z -1)) (fma.f64 (*.f64 y y) (fma.f64 2/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (*.f64 (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (*.f64 (*.f64 z z) -1/9))))) x)) |
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) (fma.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (*.f64 z z))) (*.f64 -1/9 (cbrt.f64 x))) (*.f64 (*.f64 z z) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) 1/9))) x)) |
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(+.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) -1) y x) (fma.f64 (*.f64 y y) (fma.f64 2/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (fma.f64 (cbrt.f64 x) (*.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))) -1/9) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (*.f64 z z)))) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (fma.f64 -1/6 z (+.f64 (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3))) (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)))))) (fma.f64 (cbrt.f64 x) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (fma.f64 -1/6 z (+.f64 (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3))) (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)))))) (*.f64 2/27 (/.f64 (pow.f64 z 3) x))) (+.f64 (*.f64 2/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3))) (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (*.f64 z (*.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))) -1/9))))))))) |
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(+.f64 (fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) x) (*.f64 (*.f64 y y) (+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (*.f64 z z))) (*.f64 -1/9 (cbrt.f64 x))) (*.f64 (*.f64 z z) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) 1/9))) (*.f64 (+.f64 (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 (pow.f64 z 3) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) -1/9))) (*.f64 2/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)))) (+.f64 (*.f64 (fma.f64 z -1/6 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)) 5/27)) (+.f64 -1/3 (*.f64 (cbrt.f64 x) (*.f64 -2/3 (cbrt.f64 (/.f64 1 x)))))) (*.f64 (cbrt.f64 x) (*.f64 (pow.f64 z 3) (/.f64 2/27 x))))) y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (-.f64 x (*.f64 z (sin.f64 y)))) |
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)))) |
(fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) |
(fma.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3))) |
(fma.f64 1/3 (*.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) |
(fma.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18))) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3)))) |
(fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y)))))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2))))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)))) (/.f64 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))) |
(fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))) (fma.f64 1/3 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))))))) |
(fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (*.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) (*.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)))))))) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y))))) |
(+.f64 (cbrt.f64 x) (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (*.f64 z (sin.f64 y)))) |
(fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 z (sin.f64 y)))) (cbrt.f64 x)) |
(fma.f64 -1/3 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x)) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 z (sin.f64 y))))))) |
(+.f64 (fma.f64 -1/3 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x)) (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3)))))))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (fma.f64 -1/9 (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (*.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (*.f64 x x))))) (*.f64 (*.f64 -1/27 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (pow.f64 (sin.f64 y) 3)))))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 z (sin.f64 y)))) (fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))) (*.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) 5/27) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3))))))) |
(+.f64 (fma.f64 -1/3 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x)) (fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))) (*.f64 (*.f64 (*.f64 (pow.f64 z 3) (*.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (*.f64 x x))))) 5/27) (*.f64 -1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))))) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))) |
(+.f64 (cbrt.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 z y)))) |
(fma.f64 -1/3 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x)) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (*.f64 z z) (*.f64 y y))) (+.f64 (cbrt.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 z y))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (*.f64 z y) (*.f64 z y))) (fma.f64 -1/3 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x))) |
(fma.f64 -1/9 (*.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 y y))) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (fma.f64 -1/3 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z))) (cbrt.f64 x))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3)))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (*.f64 z z) (*.f64 y y))) (+.f64 (cbrt.f64 x) (*.f64 -1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 3) (fma.f64 -1/6 z (+.f64 (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3))) (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3))))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 z y)))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (*.f64 z y) (*.f64 z y))) (fma.f64 -1/3 (fma.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 3) (fma.f64 z -1/6 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)) 5/27))) (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z)))) (cbrt.f64 x))) |
(fma.f64 -1/9 (*.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 y y))) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (fma.f64 -1/3 (fma.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 3) (fma.f64 z -1/6 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)) 5/27))) (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) z)))) (cbrt.f64 x))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/3) |
(cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (cos.f64 y)) | |
| 0.0b | (cos.f64 y) | |
| ✓ | 0.1b | (*.f64 (sin.f64 y) (sqrt.f64 z)) |
| ✓ | 0.2b | (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
Compiled 42 to 10 computations (76.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
| 1.0ms | z | @ | 0 | (*.f64 (sin.f64 y) (sqrt.f64 z)) |
| 1.0ms | z | @ | -inf | (*.f64 (sin.f64 y) (sqrt.f64 z)) |
| 1.0ms | y | @ | inf | (*.f64 (sin.f64 y) (sqrt.f64 z)) |
| 1.0ms | y | @ | 0 | (*.f64 (sin.f64 y) (sqrt.f64 z)) |
| 1× | batch-egg-rewrite |
| 641× | pow1_binary64 |
| 588× | add-log-exp_binary64 |
| 588× | log1p-expm1-u_binary64 |
| 588× | expm1-log1p-u_binary64 |
| 573× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 138 | 14 |
| 2 | 1640 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (sin.f64 y) (sqrt.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))))))) |
| 1× | egg-herbie |
| 1003× | fma-def_binary64 |
| 599× | associate-*r*_binary64 |
| 446× | neg-sub0_binary64 |
| 437× | neg-mul-1_binary64 |
| 351× | distribute-rgt-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 356 |
| 1 | 132 | 343 |
| 2 | 390 | 316 |
| 3 | 1180 | 312 |
| 4 | 3294 | 312 |
| 5 | 5591 | 312 |
| 6 | 7685 | 312 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z)))) |
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))) |
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z)) |
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 1/120 (pow.f64 y 5)))) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5)))))) |
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))))) |
(*.f64 z (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))) |
(*.f64 z (+.f64 y (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) |
(*.f64 z (sin.f64 y)) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z)))) |
(fma.f64 y (sqrt.f64 z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(*.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))) |
(fma.f64 y (sqrt.f64 z) (fma.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))) |
(fma.f64 y (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3))))) |
(*.f64 (sqrt.f64 z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 1/120 (pow.f64 y 5)))) |
(*.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) |
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))) |
(fma.f64 y (sqrt.f64 z) (fma.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z)) (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))) |
(+.f64 (*.f64 (sqrt.f64 z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 (sqrt.f64 z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))))) |
(*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))) |
(*.f64 (sqrt.f64 z) (+.f64 y (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (sqrt.f64 z)) |
Compiled 13054 to 6037 computations (53.8% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 550 | 8 | 558 |
| Fresh | 4 | 8 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 556 | 21 | 577 |
| Status | Error | Program |
|---|---|---|
| 50.3b | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) | |
| 44.4b | (-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) | |
| 25.7b | (-.f64 (+.f64 x 1) (*.f64 y z)) | |
| 26.2b | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| ✓ | 0.1b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 45.2b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) | |
| ▶ | 0.4b | (-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3)) |
| ✓ | 36.1b | (-.f64 x (*.f64 y z)) |
| 40.5b | (-.f64 x (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) | |
| 37.1b | x | |
| ✓ | 8.5b | (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
| 44.5b | (pow.f64 (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 3) | |
| 42.6b | (-.f64 (cos.f64 y) (*.f64 y z)) | |
| ▶ | 44.2b | (*.f64 z (neg.f64 (sin.f64 y))) |
| 19.2b | (-.f64 x (-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)) | |
| 20.7b | (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) 3) 3) | |
| ▶ | 36.2b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| ✓ | 0.1b | (-.f64 (+.f64 x (*.f64 3 (*.f64 1/3 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| ✓ | 21.0b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) |
| ▶ | 56.9b | (*.f64 y (neg.f64 z)) |
| ▶ | 37.6b | (pow.f64 (cbrt.f64 x) 3) |
Compiled 422 to 297 computations (29.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) |
| ✓ | 0.5b | (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3) |
| ✓ | 0.6b | (cbrt.f64 (sin.f64 y)) |
| ✓ | 0.6b | (cbrt.f64 z) |
Compiled 47 to 15 computations (68.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3) |
| 2.0ms | y | @ | -inf | (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3) |
| 2.0ms | y | @ | inf | (cbrt.f64 (sin.f64 y)) |
| 2.0ms | y | @ | -inf | (cbrt.f64 (sin.f64 y)) |
| 1.0ms | z | @ | 0 | (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) |
| 1× | batch-egg-rewrite |
| 771× | pow1_binary64 |
| 717× | add-log-exp_binary64 |
| 717× | log1p-expm1-u_binary64 |
| 717× | expm1-log1p-u_binary64 |
| 695× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 186 | 22 |
| 2 | 2049 | 22 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 z) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3) |
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/3) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) 3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (sin.f64 y))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))))) |
| 1× | egg-herbie |
| 1349× | sqr-pow_binary64 |
| 724× | unswap-sqr_binary64 |
| 594× | cube-prod_binary64 |
| 489× | fabs-mul_binary64 |
| 428× | pow-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 176 |
| 1 | 30 | 152 |
| 2 | 46 | 152 |
| 3 | 63 | 152 |
| 4 | 105 | 152 |
| 5 | 275 | 152 |
| 6 | 1018 | 152 |
| 7 | 2334 | 152 |
| 8 | 2496 | 152 |
| 9 | 2777 | 152 |
| 10 | 3095 | 152 |
| 11 | 3544 | 152 |
| 12 | 4159 | 152 |
| 13 | 4968 | 152 |
| 14 | 5456 | 152 |
| 15 | 5925 | 152 |
| 16 | 6196 | 152 |
| 17 | 6445 | 152 |
| 18 | 6585 | 152 |
| 19 | 7441 | 152 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(pow.f64 (sin.f64 y) 1/3) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
| Outputs |
|---|
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (sin.f64 y) 1/3) |
(cbrt.f64 (sin.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 1 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 1 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 1 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 1 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 1 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 1 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 1 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 1 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 y) z)) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 y) z)) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 y) z)) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 y) z)) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 y) z)) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 y) z)) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 y) z)) |
(pow.f64 (*.f64 z (sin.f64 y)) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 y) z)) |
Compiled 11 to 5 computations (54.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 z (neg.f64 (sin.f64 y))) |
Compiled 15 to 6 computations (60% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 z (neg.f64 (sin.f64 y))) |
| 0.0ms | y | @ | inf | (*.f64 z (neg.f64 (sin.f64 y))) |
| 0.0ms | y | @ | 0 | (*.f64 z (neg.f64 (sin.f64 y))) |
| 0.0ms | y | @ | -inf | (*.f64 z (neg.f64 (sin.f64 y))) |
| 0.0ms | z | @ | -inf | (*.f64 z (neg.f64 (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 495× | pow1_binary64 |
| 474× | add-sqr-sqrt_binary64 |
| 454× | add-log-exp_binary64 |
| 453× | log1p-expm1-u_binary64 |
| 453× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 122 | 6 |
| 2 | 1544 | 6 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (neg.f64 (sin.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 694× | distribute-rgt-neg-in_binary64 |
| 572× | distribute-lft-neg-in_binary64 |
| 552× | fma-def_binary64 |
| 478× | fma-neg_binary64 |
| 437× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 247 |
| 1 | 78 | 241 |
| 2 | 218 | 228 |
| 3 | 636 | 226 |
| 4 | 2103 | 226 |
| 5 | 4329 | 226 |
| 6 | 6289 | 226 |
| 7 | 7844 | 226 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))) |
(fma.f64 -1 (*.f64 z y) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))) |
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) |
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))) |
(*.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))) |
(-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 z y)) |
(*.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y)) |
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))) |
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))) |
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 z y))) |
(*.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) (-.f64 (*.f64 1/5040 (pow.f64 y 7)) y))) |
(*.f64 z (-.f64 (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (cbrt.f64 x) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 x) 3) |
Compiled 11 to 7 computations (36.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 x) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 x) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 x) 3) |
| 0.0ms | x | @ | 0 | (cbrt.f64 x) |
| 0.0ms | x | @ | -inf | (cbrt.f64 x) |
| 1× | batch-egg-rewrite |
| 347× | pow1_binary64 |
| 344× | add-sqr-sqrt_binary64 |
| 332× | add-log-exp_binary64 |
| 332× | log1p-expm1-u_binary64 |
| 332× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 4 |
| 1 | 107 | 4 |
| 2 | 956 | 4 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 x) 3) |
(cbrt.f64 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 7)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3/2) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3/2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) 3/2) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 7) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 8) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (*.f64 (+.f64 1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (pow.f64 x 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 1/6)) (pow.f64 (pow.f64 x 5/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/12) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/6)) (cbrt.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)) (cbrt.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/6) 1/3) (cbrt.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (cbrt.f64 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (cbrt.f64 x)) (+.f64 1 (cbrt.f64 x))) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 x)) 2)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| 0.2b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.3b | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| ✓ | 7.1b | (sqrt.f64 (*.f64 z (sin.f64 y))) |
Compiled 34 to 12 computations (64.7% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | inf | (sqrt.f64 (*.f64 z (sin.f64 y))) |
| 2.0ms | z | @ | inf | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| 1.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| 1.0ms | z | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| 1.0ms | z | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
| 1× | batch-egg-rewrite |
| 963× | pow1_binary64 |
| 894× | add-log-exp_binary64 |
| 893× | log1p-expm1-u_binary64 |
| 893× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 215 | 23 |
| 2 | 2456 | 23 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2) |
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 (*.f64 z (sin.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 z (sin.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (*.f64 z (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 101× | fma-def_binary64 |
| 56× | fma-neg_binary64 |
| 29× | cancel-sign-sub-inv_binary64 |
| 18× | sub-neg_binary64 |
| 13× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 213 |
| 1 | 21 | 213 |
| 2 | 37 | 213 |
| 3 | 50 | 213 |
| 4 | 66 | 213 |
| 5 | 100 | 213 |
| 6 | 155 | 213 |
| 7 | 205 | 213 |
| 8 | 270 | 213 |
| 9 | 344 | 213 |
| 10 | 394 | 213 |
| 11 | 400 | 213 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
x |
x |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 x (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 -1 (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
x |
x |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) x) |
Compiled 3747 to 1546 computations (58.7% saved)
25 alts after pruning (16 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 292 | 8 | 300 |
| Fresh | 3 | 8 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 296 | 25 | 321 |
| Status | Error | Program |
|---|---|---|
| 62.4b | (pow.f64 (*.f64 z (sin.f64 y)) 1) | |
| 20.7b | (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) 3) 3) | |
| 37.2b | (-.f64 (+.f64 1 x) 1) | |
| 50.3b | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) | |
| 25.7b | (-.f64 (+.f64 x 1) (*.f64 y z)) | |
| 44.4b | (-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) | |
| 26.2b | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) | |
| ✓ | 0.4b | (-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3)) |
| ✓ | 36.1b | (-.f64 x (*.f64 y z)) |
| 40.5b | (-.f64 x (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) | |
| ✓ | 0.1b | (-.f64 (+.f64 x (*.f64 3 (*.f64 1/3 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| 50.5b | (fabs.f64 x) | |
| 44.5b | (pow.f64 (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 3) | |
| 42.6b | (-.f64 (cos.f64 y) (*.f64 y z)) | |
| 50.3b | (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) | |
| ✓ | 56.9b | (*.f64 y (neg.f64 z)) |
| ✓ | 44.2b | (*.f64 z (neg.f64 (sin.f64 y))) |
| 37.1b | x | |
| 19.2b | (-.f64 x (-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)) | |
| 62.5b | (-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1) | |
| ✓ | 36.2b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| ✓ | 0.1b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 8.5b | (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
| ✓ | 21.0b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) |
| 45.2b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
Compiled 278 to 198 computations (28.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 1 x) 1) |
(-.f64 x (*.f64 y z)) |
(-.f64 (+.f64 x 1) (*.f64 y z)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(fabs.f64 x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 y z)) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (*.f64 3 (*.f64 1/3 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(pow.f64 (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 3) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) |
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3) |
(-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
(-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) |
(-.f64 x (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
(-.f64 (+.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) |
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3)) |
(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) 3) 3) |
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3) 3)) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 24.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 23.0ms | z |
| 22.0ms | x |
| 21.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 379 to 149 computations (60.7% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 1 x) 1) |
(-.f64 x (*.f64 y z)) |
(-.f64 (+.f64 x 1) (*.f64 y z)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(fabs.f64 x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 y z)) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
3 calls:
| 51.0ms | y |
| 32.0ms | x |
| 32.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
| 6.0b | 5 | y |
| 4.7b | 3 | z |
Compiled 149 to 63 computations (57.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 61.0ms | 1.6874956885151152e-7 | 0.6546567355146025 |
| 67.0ms | -1.3885609764477047 | -4.823321626499339e-20 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 1 x) 1) |
(-.f64 x (*.f64 y z)) |
(-.f64 (+.f64 x 1) (*.f64 y z)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(fabs.f64 x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 y z)) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (*.f64 z (sin.f64 y)) 1) |
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) |
| Outputs |
|---|
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
3 calls:
| 30.0ms | z |
| 12.0ms | y |
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 8.5b | 1 | x |
| 8.5b | 1 | y |
| 4.7b | 3 | z |
Compiled 142 to 62 computations (56.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 51.0ms | 1.3431943441470405e-118 | 3.300257962750949e-115 |
| 54.0ms | -1.1367381392988578e-35 | -6.295488722522522e-36 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 1 x) 1) |
(-.f64 x (*.f64 y z)) |
(-.f64 (+.f64 x 1) (*.f64 y z)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(fabs.f64 x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 y z)) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
3 calls:
| 18.0ms | x |
| 11.0ms | z |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 8.5b | 1 | x |
| 8.5b | 1 | y |
| 8.5b | 1 | z |
Compiled 107 to 48 computations (55.1% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 1 x) 1) |
(-.f64 x (*.f64 y z)) |
(-.f64 (+.f64 x 1) (*.f64 y z)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(fabs.f64 x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 y z)) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1) |
| Outputs |
|---|
(-.f64 x (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x 1) (*.f64 y z)) |
(-.f64 x (*.f64 z (sin.f64 y))) |
3 calls:
| 87.0ms | z |
| 80.0ms | y |
| 48.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.3b | 3 | x |
| 9.2b | 3 | y |
| 14.6b | 3 | z |
Compiled 91 to 42 computations (53.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 7.091364654997538e-12 | 1.70518480130266e-9 |
| 202.0ms | -2118.2177773064186 | -219.7734271665244 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 1 x) 1) |
(-.f64 x (*.f64 y z)) |
(-.f64 (+.f64 x 1) (*.f64 y z)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(fabs.f64 x) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 y z)) |
| Outputs |
|---|
(-.f64 (+.f64 1 x) 1) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(-.f64 (+.f64 x 1) (*.f64 y z)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
x |
(*.f64 z (neg.f64 (sin.f64 y))) |
3 calls:
| 174.0ms | z |
| 43.0ms | y |
| 41.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 19.0b | 3 | x |
| 17.6b | 6 | y |
| 18.8b | 6 | z |
Compiled 77 to 36 computations (53.2% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 230.0ms | 1.0971381787016548e+246 | 1.4299872681148315e+256 |
| 107.0ms | 1.832855962650182e+188 | 2.0878094604023637e+193 |
| 36.0ms | 4.061146230053281 | 7.555858517037802e+25 |
| 54.0ms | -1087248.8732826526 | -6002.880754432563 |
| 55.0ms | -2.7391698505992075e+117 | -1.251112061876193e+113 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 1 x) 1) |
(-.f64 x (*.f64 y z)) |
(-.f64 (+.f64 x 1) (*.f64 y z)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y)))) |
(fabs.f64 x) |
| Outputs |
|---|
(-.f64 (+.f64 1 x) 1) |
(-.f64 (+.f64 x 1) (*.f64 y z)) |
x |
3 calls:
| 160.0ms | y |
| 19.0ms | z |
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.6b | 3 | x |
| 21.5b | 3 | y |
| 24.4b | 3 | z |
Compiled 61 to 31 computations (49.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 1.0296201494859228e+55 | 8.633396406106871e+55 |
| 57.0ms | -1.251112061876193e+113 | -5.931620360150518e+112 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 1 x) 1) |
(-.f64 x (*.f64 y z)) |
| Outputs |
|---|
(-.f64 (+.f64 1 x) 1) |
(-.f64 x (*.f64 y z)) |
x |
3 calls:
| 23.0ms | z |
| 14.0ms | x |
| 14.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 33.0b | 3 | x |
| 31.7b | 3 | y |
| 32.5b | 3 | z |
Compiled 32 to 20 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 7.555858517037802e+25 | 5.35943775166028e+26 |
| 54.0ms | -1.251112061876193e+113 | -5.931620360150518e+112 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 1 x) 1) |
| Outputs |
|---|
(-.f64 (+.f64 1 x) 1) |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 1 x) 1) |
3 calls:
| 13.0ms | x |
| 12.0ms | y |
| 9.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 33.2b | 3 | x |
| 35.9b | 3 | y |
| 34.7b | 2 | z |
Compiled 27 to 18 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 58.0ms | 9.094951084433948e-24 | 5.716974604095367e-12 |
| 55.0ms | -4.823321626499339e-20 | -1.404429220364832e-21 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
x |
x |
(*.f64 y (neg.f64 z)) |
| Outputs |
|---|
x |
(*.f64 y (neg.f64 z)) |
x |
3 calls:
| 13.0ms | y |
| 12.0ms | x |
| 7.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 33.2b | 3 | x |
| 35.9b | 3 | y |
| 34.7b | 2 | z |
Compiled 22 to 14 computations (36.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 182.0ms | 9.094951084433948e-24 | 5.716974604095367e-12 |
| 76.0ms | -1.3885609764477047 | -4.823321626499339e-20 |
Compiled 18 to 13 computations (27.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
x |
x |
x |
| Outputs |
|---|
x |
3 calls:
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 37.1b | 1 | x |
| 37.1b | 1 | y |
| 37.1b | 1 | z |
Compiled 18 to 12 computations (33.3% saved)
| 1× | egg-herbie |
| 15× | +-commutative_binary64 |
| 13× | sub-neg_binary64 |
| 9× | *-commutative_binary64 |
| 7× | cancel-sign-sub-inv_binary64 |
| 5× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 343 |
| 1 | 116 | 343 |
| 2 | 136 | 343 |
| 3 | 144 | 343 |
| 4 | 147 | 343 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x -6253522696111095/4503599627370496) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 x 1593794615886163/9444732965739290427392) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z -8506084617225035/748288838313422294120286634350736906063837462003712) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 z 6101785397380683/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
(if (<=.f64 y -2329005076310241/1099511627776) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 y 8778684239594609/1237940039285380274899124224) (-.f64 (+.f64 x 1) (*.f64 y z)) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 y -2739169850599207458042814258651249800481507287925124074188217148621131552519652414609037769947780084630662990616592384) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y -4669698353361841/4294967296) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 4572444162091263/1125899906842624) (-.f64 (+.f64 x 1) (*.f64 y z)) (if (<=.f64 y 183285596265018200020967937477022478642999958132861226101636052004230710917050975321859509572042404965759713259420893321717512324569275836735720674550507729138247570874999414362050433908736) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1097138178701654825847369788170576753456605630148447692881522320601737471904849862779976008548827138006783490217928043821675655384808252014387909410782051700801083997309678714480491247000127317882167854540685750089726409793015677619377699360342016) x (*.f64 z (neg.f64 (sin.f64 y)))))))) |
(if (<=.f64 y -125111206187619297437765465418836353303896236807370478084652069935722363476433963764075227880759348684663818289152) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 10296201494859227976083615824209712133569623773902012416) (-.f64 (+.f64 x 1) (*.f64 y z)) x)) |
(if (<=.f64 y -125111206187619297437765465418836353303896236807370478084652069935722363476433963764075227880759348684663818289152) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 75558585170378015723487232) (-.f64 x (*.f64 y z)) x)) |
(if (<=.f64 x -2003529418318049/41538374868278621028243970633760768) (-.f64 (+.f64 1 x) 1) (if (<=.f64 x 773712870510335/85070591730234615865843651857942052864) (*.f64 y (neg.f64 z)) (-.f64 (+.f64 1 x) 1))) |
(if (<=.f64 x -6253522696111095/4503599627370496) x (if (<=.f64 x 773712870510335/85070591730234615865843651857942052864) (*.f64 y (neg.f64 z)) x)) |
x |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x -6253522696111095/4503599627370496) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 x 1593794615886163/9444732965739290427392) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z -8506084617225035/748288838313422294120286634350736906063837462003712) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 z 6101785397380683/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))) |
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) |
(if (<=.f64 y -2329005076310241/1099511627776) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 y 8778684239594609/1237940039285380274899124224) (-.f64 (+.f64 x 1) (*.f64 y z)) (-.f64 x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 y -2739169850599207458042814258651249800481507287925124074188217148621131552519652414609037769947780084630662990616592384) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y -4669698353361841/4294967296) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 4572444162091263/1125899906842624) (-.f64 (+.f64 x 1) (*.f64 y z)) (if (<=.f64 y 183285596265018200020967937477022478642999958132861226101636052004230710917050975321859509572042404965759713259420893321717512324569275836735720674550507729138247570874999414362050433908736) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1097138178701654825847369788170576753456605630148447692881522320601737471904849862779976008548827138006783490217928043821675655384808252014387909410782051700801083997309678714480491247000127317882167854540685750089726409793015677619377699360342016) x (*.f64 z (neg.f64 (sin.f64 y)))))))) |
(if (<=.f64 y -2739169850599207458042814258651249800481507287925124074188217148621131552519652414609037769947780084630662990616592384) (+.f64 (+.f64 x 1) -1) (if (<=.f64 y -4669698353361841/4294967296) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 4572444162091263/1125899906842624) (-.f64 (+.f64 x 1) (*.f64 y z)) (if (<=.f64 y 183285596265018200020967937477022478642999958132861226101636052004230710917050975321859509572042404965759713259420893321717512324569275836735720674550507729138247570874999414362050433908736) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1097138178701654825847369788170576753456605630148447692881522320601737471904849862779976008548827138006783490217928043821675655384808252014387909410782051700801083997309678714480491247000127317882167854540685750089726409793015677619377699360342016) x (*.f64 z (neg.f64 (sin.f64 y)))))))) |
(if (<=.f64 y -125111206187619297437765465418836353303896236807370478084652069935722363476433963764075227880759348684663818289152) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 10296201494859227976083615824209712133569623773902012416) (-.f64 (+.f64 x 1) (*.f64 y z)) x)) |
(if (<=.f64 y -125111206187619297437765465418836353303896236807370478084652069935722363476433963764075227880759348684663818289152) (+.f64 (+.f64 x 1) -1) (if (<=.f64 y 10296201494859227976083615824209712133569623773902012416) (-.f64 (+.f64 x 1) (*.f64 y z)) x)) |
(if (<=.f64 y -125111206187619297437765465418836353303896236807370478084652069935722363476433963764075227880759348684663818289152) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 75558585170378015723487232) (-.f64 x (*.f64 y z)) x)) |
(if (<=.f64 y -125111206187619297437765465418836353303896236807370478084652069935722363476433963764075227880759348684663818289152) (+.f64 (+.f64 x 1) -1) (if (<=.f64 y 75558585170378015723487232) (-.f64 x (*.f64 y z)) x)) |
(if (<=.f64 x -2003529418318049/41538374868278621028243970633760768) (-.f64 (+.f64 1 x) 1) (if (<=.f64 x 773712870510335/85070591730234615865843651857942052864) (*.f64 y (neg.f64 z)) (-.f64 (+.f64 1 x) 1))) |
(if (<=.f64 x -2003529418318049/41538374868278621028243970633760768) (+.f64 (+.f64 x 1) -1) (if (<=.f64 x 773712870510335/85070591730234615865843651857942052864) (neg.f64 (*.f64 y z)) (+.f64 (+.f64 x 1) -1))) |
(if (<=.f64 x -2003529418318049/41538374868278621028243970633760768) (+.f64 (+.f64 x 1) -1) (if (<=.f64 x 773712870510335/85070591730234615865843651857942052864) (*.f64 z (neg.f64 y)) (+.f64 (+.f64 x 1) -1))) |
(if (<=.f64 x -6253522696111095/4503599627370496) x (if (<=.f64 x 773712870510335/85070591730234615865843651857942052864) (*.f64 y (neg.f64 z)) x)) |
(if (<=.f64 x -6253522696111095/4503599627370496) x (if (<=.f64 x 773712870510335/85070591730234615865843651857942052864) (neg.f64 (*.f64 y z)) x)) |
(if (<=.f64 x -6253522696111095/4503599627370496) x (if (<=.f64 x 773712870510335/85070591730234615865843651857942052864) (*.f64 z (neg.f64 y)) x)) |
x |
Compiled 265 to 166 computations (37.4% saved)
Compiled 235 to 118 computations (49.8% saved)
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