Time bar (total: 4.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 25% | 74.9% | 0.1% | 7 |
| 37.4% | 62.4% | 0.1% | 8 |
| 37.4% | 62.4% | 0.1% | 9 |
| 56.2% | 43.7% | 0.1% | 10 |
| 65.5% | 34.3% | 0.1% | 11 |
| 65.5% | 34.3% | 0.1% | 12 |
| 76.5% | 23.4% | 0.1% | 13 |
| 81.9% | 17.9% | 0.1% | 14 |
Compiled 13 to 9 computations (30.8% saved)
| 1.0s | 5942× | body | 128 | valid |
| 800.0ms | 1324× | body | 1024 | valid |
| 300.0ms | 657× | body | 512 | valid |
| 140.0ms | 329× | body | 256 | valid |
| 8.0ms | 4× | body | 2048 | valid |
| 2× | egg-herbie |
| 792× | fma-neg_binary64 |
| 611× | fma-def_binary64 |
| 200× | cancel-sign-sub-inv_binary64 |
| 156× | distribute-rgt-in_binary64 |
| 142× | 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 | 697 | 56 |
| 6 | 1220 | 56 |
| 7 | 2086 | 56 |
| 8 | 2733 | 56 |
| 9 | 3116 | 56 |
| 10 | 3148 | 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 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x))) |
(+.f64 y (-.f64 (cos.f64 x) (*.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 (cos.f64 y) (-.f64 z (*.f64 x (sin.f64 y)))) |
(fma.f64 (sin.f64 y) (neg.f64 x) (+.f64 (cos.f64 y) z)) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 x) z)) |
(-.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)))) |
(-.f64 (cos.f64 z) (fma.f64 y (sin.f64 z) (neg.f64 x))) |
(+.f64 (cos.f64 z) (fma.f64 (sin.f64 z) (neg.f64 y) x)) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
| 228× | fma-def_binary64 |
| 171× | fma-neg_binary64 |
| 68× | cancel-sign-sub-inv_binary64 |
| 44× | distribute-rgt-in_binary64 |
| 42× | 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 | 324 | 14 |
| 7 | 531 | 14 |
| 8 | 681 | 14 |
| 9 | 846 | 14 |
| 10 | 950 | 14 |
| 11 | 960 | 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)))) |
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 |
|---|---|---|
| ▶ | 0.0b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 45 to 26 computations (42.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (cos.f64 y)) |
| ✓ | 0.1b | (*.f64 z (sin.f64 y)) |
12 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 | z | @ | inf | (*.f64 z (sin.f64 y)) |
| 1.0ms | y | @ | 0 | (+.f64 x (cos.f64 y)) |
| 1.0ms | y | @ | -inf | (*.f64 z (sin.f64 y)) |
| 1× | batch-egg-rewrite |
| 820× | log1p-expm1-u_binary64 |
| 820× | expm1-log1p-u_binary64 |
| 89× | add-sqr-sqrt_binary64 |
| 88× | *-un-lft-identity_binary64 |
| 88× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 166 | 12 |
| 2 | 2197 | 12 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (sin.f64 y)) |
(+.f64 x (cos.f64 y)) |
| Outputs |
|---|
((#(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 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 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 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 exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1))))) (#(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 log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))))))) |
| 1× | egg-herbie |
| 805× | distribute-lft-out_binary64 |
| 538× | associate-*l*_binary64 |
| 505× | unswap-sqr_binary64 |
| 397× | associate-*r*_binary64 |
| 280× | distribute-rgt-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 241 |
| 1 | 124 | 238 |
| 2 | 326 | 227 |
| 3 | 1026 | 227 |
| 4 | 2732 | 227 |
| 5 | 4484 | 227 |
| 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) |
| 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 1/120 (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 1/120 (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 1 (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x))) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 y (*.f64 y -1/2) 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))) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) 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) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 67 | 1 | 68 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 67 | 2 | 69 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.5b | (-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
| ✓ | 0.0b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 1067 to 426 computations (60.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (cos.f64 y)) | |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.2b | (pow.f64 (*.f64 z (sin.f64 y)) 3) |
| ✓ | 36.0b | (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)) |
| 2.0ms | y | @ | -inf | (pow.f64 (*.f64 z (sin.f64 y)) 3) |
| 1.0ms | y | @ | 0 | (pow.f64 (*.f64 z (sin.f64 y)) 3) |
| 1.0ms | y | @ | inf | (pow.f64 (*.f64 z (sin.f64 y)) 3) |
| 1.0ms | z | @ | -inf | (pow.f64 (*.f64 z (sin.f64 y)) 3) |
| 1× | batch-egg-rewrite |
| 645× | pow1_binary64 |
| 603× | add-log-exp_binary64 |
| 603× | log1p-expm1-u_binary64 |
| 603× | expm1-log1p-u_binary64 |
| 73× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 168 | 15 |
| 2 | 1724 | 15 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)) |
(pow.f64 (*.f64 z (sin.f64 y)) 3) |
| Outputs |
|---|
((#(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 1 (*.f64 z (sin.f64 y)))))) (#(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 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/3))))) (#(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 (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 (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 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3))))) (#(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 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 log.f64 (+.f64 1 (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 log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 z (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) (pow.f64 (*.f64 z (sin.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 3) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (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 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) |
| 1× | egg-herbie |
| 707× | fma-def_binary64 |
| 475× | associate-*l*_binary64 |
| 430× | associate-*r*_binary64 |
| 268× | unswap-sqr_binary64 |
| 219× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 625 |
| 1 | 235 | 610 |
| 2 | 857 | 565 |
| 3 | 4549 | 565 |
| 1× | node limit |
| 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 (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 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 (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 y 3) (pow.f64 z 3)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 z 3)) (*.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 z 3)) (*.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 (pow.f64 y 7) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) z) (+.f64 (*.f64 1/18 (pow.f64 z 3)) (*.f64 1/120 (pow.f64 z 3))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 z 3)) (*.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (*.f64 (pow.f64 y 9) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) z)) (+.f64 (*.f64 z (+.f64 (*.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/2520 (pow.f64 z 2)))) (+.f64 (*.f64 -1/5040 (pow.f64 z 3)) (*.f64 -1/360 (pow.f64 z 3)))))) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 (pow.f64 y 7) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) z) (+.f64 (*.f64 1/18 (pow.f64 z 3)) (*.f64 1/120 (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)) |
| 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 (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 (sin.f64 y) (*.f64 (cbrt.f64 -1) (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 (sin.f64 y) (*.f64 (cbrt.f64 -1) (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 (sin.f64 y) (*.f64 (cbrt.f64 -1) (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 (sin.f64 y) (*.f64 (cbrt.f64 -1) (neg.f64 z))) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z y)) |
(*.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 (*.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 z y (*.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 1/120 (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 (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 y 3) (pow.f64 z 3)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 z 3)) (*.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) |
(fma.f64 (*.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) |
(fma.f64 (pow.f64 y 3) (pow.f64 z 3) (*.f64 (pow.f64 y 5) (*.f64 (pow.f64 z 3) -1/2))) |
(*.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 z 3)) (*.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 (pow.f64 y 7) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) z) (+.f64 (*.f64 1/18 (pow.f64 z 3)) (*.f64 1/120 (pow.f64 z 3))))))) |
(fma.f64 (*.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (*.f64 (pow.f64 y 7) (fma.f64 (*.f64 (*.f64 z z) 2/45) z (*.f64 (pow.f64 z 3) 23/360))))) |
(fma.f64 (pow.f64 y 5) (*.f64 (pow.f64 z 3) -1/2) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (*.f64 (pow.f64 y 7) (fma.f64 (pow.f64 z 3) 23/360 (*.f64 (pow.f64 z 3) 2/45))))) |
(fma.f64 (pow.f64 y 7) (*.f64 (pow.f64 z 3) 13/120) (*.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 z 3)) (*.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (*.f64 (pow.f64 y 9) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) z)) (+.f64 (*.f64 z (+.f64 (*.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/2520 (pow.f64 z 2)))) (+.f64 (*.f64 -1/5040 (pow.f64 z 3)) (*.f64 -1/360 (pow.f64 z 3)))))) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 (pow.f64 y 7) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 z 2)) (*.f64 1/60 (pow.f64 z 2))) z) (+.f64 (*.f64 1/18 (pow.f64 z 3)) (*.f64 1/120 (pow.f64 z 3)))))))) |
(fma.f64 (*.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (*.f64 z (*.f64 (*.f64 z z) 2/45)) (fma.f64 z (*.f64 (*.f64 z z) -1/315) (*.f64 (pow.f64 z 3) -1/336))) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (*.f64 (pow.f64 y 7) (fma.f64 (*.f64 (*.f64 z z) 2/45) z (*.f64 (pow.f64 z 3) 23/360)))))) |
(fma.f64 (pow.f64 y 5) (*.f64 (pow.f64 z 3) -1/2) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (*.f64 (pow.f64 z 3) 2/45) (fma.f64 (pow.f64 z 3) -1/336 (*.f64 (pow.f64 z 3) -1/315))) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (*.f64 (pow.f64 y 7) (fma.f64 (pow.f64 z 3) 23/360 (*.f64 (pow.f64 z 3) 2/45)))))) |
(fma.f64 (pow.f64 y 9) (+.f64 (*.f64 (pow.f64 z 3) -1/135) (*.f64 (pow.f64 z 3) -31/5040)) (fma.f64 (pow.f64 y 7) (*.f64 (pow.f64 z 3) 13/120) (*.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))))) |
(*.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)) |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 138 | 3 | 141 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 138 | 5 | 143 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.5b | (-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
| ▶ | 0.3b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) |
| 32.8b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))) | |
| 34.8b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))) | |
| ✓ | 0.0b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 2695 to 1261 computations (53.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.3b | (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) |
| ✓ | 7.5b | (cbrt.f64 (*.f64 z (sin.f64 y))) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| 2.0ms | y | @ | inf | (cbrt.f64 (*.f64 z (sin.f64 y))) |
| 2.0ms | y | @ | -inf | (cbrt.f64 (*.f64 z (sin.f64 y))) |
| 1.0ms | z | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) |
| 1.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) |
| 1× | batch-egg-rewrite |
| 668× | pow1_binary64 |
| 616× | add-log-exp_binary64 |
| 616× | log1p-expm1-u_binary64 |
| 616× | expm1-log1p-u_binary64 |
| 77× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 181 | 25 |
| 2 | 1776 | 25 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 z (sin.f64 y))) |
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) |
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (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 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 (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 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2)))))) (#(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 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/2)))) (#(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 fabs.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(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 log.f64 (+.f64 1 (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 log1p.f64 (expm1.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 -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 4)))))) (#(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)))) (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))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (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 sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))))) |
((#(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 pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(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 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(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 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 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 exp.f64 (log.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 expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 695× | unswap-sqr_binary64 |
| 603× | fma-def_binary64 |
| 538× | associate-*l*_binary64 |
| 404× | associate-*r*_binary64 |
| 334× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 372 |
| 1 | 96 | 369 |
| 2 | 242 | 358 |
| 3 | 793 | 356 |
| 4 | 3075 | 356 |
| 5 | 4630 | 356 |
| 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) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(*.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 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)) |
| 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))) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(cbrt.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(cbrt.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(cbrt.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(cbrt.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(cbrt.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(cbrt.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(cbrt.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) |
(cbrt.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) |
(*.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 y z) |
(*.f64 z y) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)) |
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z y)) |
(*.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 (*.f64 1/120 (pow.f64 y 5)) y))) |
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))) |
(*.f64 z (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(*.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 z y (*.f64 z (+.f64 (*.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 -1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/5040 (pow.f64 y 7) 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)) |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 135 | 2 | 137 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 135 | 7 | 142 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.5b | (-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
| ✓ | 0.3b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) |
| 32.8b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))) | |
| 34.8b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))) | |
| ✓ | 0.0b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 6.1b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))) 2))) | |
| ▶ | 0.3b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) |
Compiled 3138 to 1149 computations (63.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) | |
| ✓ | 0.6b | (cbrt.f64 z) |
| ✓ | 0.7b | (cbrt.f64 (sin.f64 y)) |
| 7.5b | (cbrt.f64 (*.f64 z (sin.f64 y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | -inf | (cbrt.f64 z) |
| 2.0ms | y | @ | inf | (cbrt.f64 (sin.f64 y)) |
| 1.0ms | y | @ | -inf | (cbrt.f64 (sin.f64 y)) |
| 1.0ms | y | @ | 0 | (cbrt.f64 (sin.f64 y)) |
| 0.0ms | z | @ | 0 | (cbrt.f64 z) |
| 1× | batch-egg-rewrite |
| 491× | pow1_binary64 |
| 451× | add-log-exp_binary64 |
| 451× | log1p-expm1-u_binary64 |
| 451× | expm1-log1p-u_binary64 |
| 437× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 112 | 8 |
| 2 | 1244 | 8 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (sin.f64 y)) |
(cbrt.f64 z) |
| Outputs |
|---|
((#(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 exp.f64 (log.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 expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y)))))))) |
((#(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)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 exp.f64 (log.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 expm1.f64 (log1p.f64 (cbrt.f64 z))))))) |
| 1× | egg-herbie |
| 731× | sqr-pow_binary64 |
| 370× | cube-prod_binary64 |
| 362× | unswap-sqr_binary64 |
| 313× | pow-sqr_binary64 |
| 282× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 40 |
| 1 | 11 | 40 |
| 2 | 16 | 40 |
| 3 | 25 | 40 |
| 4 | 47 | 40 |
| 5 | 137 | 40 |
| 6 | 497 | 40 |
| 7 | 1159 | 40 |
| 8 | 1249 | 40 |
| 9 | 1385 | 40 |
| 10 | 1546 | 40 |
| 11 | 1777 | 40 |
| 12 | 2102 | 40 |
| 13 | 2526 | 40 |
| 14 | 3029 | 40 |
| 15 | 3629 | 40 |
| 16 | 4356 | 40 |
| 17 | 4675 | 40 |
| 18 | 4961 | 40 |
| 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) |
| 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)) |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 82 | 1 | 83 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 83 | 7 | 90 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.5b | (-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))) |
| ✓ | 0.3b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) |
| 32.8b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))) | |
| 34.8b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))) | |
| ✓ | 0.0b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 6.1b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))) 2))) | |
| 4.0b | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 z) (log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) |
Compiled 2053 to 694 computations (66.2% saved)
Total -52.0b remaining (-102812.2%)
Threshold costs -52.0b (-102812.2%)
Compiled 237 to 94 computations (60.3% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 16 | 14 |
| 2 | 28 | 14 |
| 3 | 34 | 14 |
| 4 | 38 | 14 |
| 5 | 39 | 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))) |
| 1× | fuel |
Compiled 143 to 55 computations (61.5% saved)
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