Time bar (total: 4.3s)
| 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)
| 1.2s | 2025× | body | 1024 | valid |
| 809.0ms | 4677× | body | 128 | valid |
| 486.0ms | 1037× | body | 512 | valid |
| 156.0ms | 510× | body | 256 | valid |
| 7.0ms | 7× | body | 2048 | valid |
| 2× | egg-herbie |
| 16× | fma-def_binary64 |
| 8× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 48 |
| 1 | 38 | 48 |
| 2 | 50 | 48 |
| 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))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x))) |
(fma.f64 y (cos.f64 x) (*.f64 z (sin.f64 x))) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z))) |
(fma.f64 x (cos.f64 z) (*.f64 y (sin.f64 z))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 13 | 12 |
| 2 | 16 | 12 |
| 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))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
Compiled 20 to 9 computations (55% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
Compiled 22 to 14 computations (36.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
| ✓ | 0.1b | (*.f64 z (sin.f64 y)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
| 1.0ms | z | @ | 0 | (*.f64 z (sin.f64 y)) |
| 1.0ms | x | @ | -inf | (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
| 1.0ms | y | @ | 0 | (*.f64 z (sin.f64 y)) |
| 1.0ms | x | @ | 0 | (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 757× | pow1_binary64 |
| 689× | add-log-exp_binary64 |
| 689× | log1p-expm1-u_binary64 |
| 689× | expm1-log1p-u_binary64 |
| 81× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 156 | 18 |
| 2 | 1853 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (sin.f64 y)) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.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 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 expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (cos.f64 y)) 1) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))) |
| 1× | egg-herbie |
| 884× | fma-def_binary64 |
| 624× | distribute-lft-out_binary64 |
| 438× | unswap-sqr_binary64 |
| 392× | *-commutative_binary64 |
| 314× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 470 |
| 1 | 115 | 467 |
| 2 | 295 | 453 |
| 3 | 846 | 451 |
| 4 | 2540 | 451 |
| 5 | 3410 | 451 |
| 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 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.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 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) 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 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 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))))) |
(*.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 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y)))) |
(*.f64 z (+.f64 y (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5)))))) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 y z (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) |
(fma.f64 y z (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) |
(fma.f64 y z (fma.f64 (*.f64 y y) (*.f64 x -1/2) x)) |
(fma.f64 y z (fma.f64 y (*.f64 y (*.f64 x -1/2)) x)) |
(fma.f64 y z (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))) |
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) |
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 (*.f64 y y) (*.f64 x -1/2) x)) |
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 y (*.f64 y (*.f64 x -1/2)) x)) |
(fma.f64 y (*.f64 y (*.f64 x -1/2)) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
Compiled 698 to 245 computations (64.9% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 4 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 5 | 56 |
| Status | Error | Program |
|---|---|---|
| 29.6b | (/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) | |
| 41.5b | (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) | |
| 30.8b | (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) | |
| ▶ | 29.2b | (fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
| ✓ | 0.1b | (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
Compiled 157 to 97 computations (38.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
| ✓ | 0.3b | (pow.f64 (sin.f64 y) 3) |
| ✓ | 12.2b | (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) |
| ✓ | 33.2b | (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) |
| 2.0ms | z | @ | inf | (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) |
| 2.0ms | z | @ | -inf | (cbrt.f64 (*.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× | batch-egg-rewrite |
| 542× | log-prod_binary64 |
| 201× | expm1-udef_binary64 |
| 201× | log1p-udef_binary64 |
| 185× | prod-diff_binary64 |
| 182× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 253 | 33 |
| 2 | 2752 | 33 |
| 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) |
(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z)) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 log.f64 (+.f64 1 (expm1.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 log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 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 +.f64 0 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 log.f64 (+.f64 1 (expm1.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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (cos.f64 y)) 1) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (fma.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 y)) z) (exp.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))) (exp.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (cos.f64 y))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) |
| 1× | egg-herbie |
| 518× | fma-def_binary64 |
| 411× | distribute-rgt-in_binary64 |
| 350× | associate-*l*_binary64 |
| 291× | associate-*r*_binary64 |
| 280× | distribute-lft-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 1071 |
| 1 | 208 | 1045 |
| 2 | 675 | 1013 |
| 3 | 2499 | 1013 |
| 4 | 3708 | 1010 |
| 5 | 4385 | 1010 |
| 6 | 4887 | 1010 |
| 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))))) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.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 -1/6 (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 1/120 (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))) |
(*.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 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))) |
(neg.f64 (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1))) |
(neg.f64 (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1))) |
(neg.f64 (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1))) |
(neg.f64 (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1)))) |
(*.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) (*.f64 (pow.f64 y 7) 13/120)) (*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)))) |
(*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 7) 13/120 (fma.f64 (pow.f64 y 5) -1/2 (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 (*.f64 -41/3024 (pow.f64 y 9)) (fma.f64 (pow.f64 y 7) 13/120 (fma.f64 (pow.f64 y 5) -1/2 (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 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (*.f64 (pow.f64 y 7) 13/120)) |
(fma.f64 (pow.f64 y 7) 13/120 (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 (*.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 (*.f64 -41/3024 (pow.f64 y 9)) (fma.f64 (pow.f64 y 7) 13/120 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)))) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)) |
(fma.f64 y z (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) |
(fma.f64 y z (fma.f64 (*.f64 -1/2 (*.f64 y y)) x x)) |
(fma.f64 y z (*.f64 x (fma.f64 (*.f64 y -1/2) y 1))) |
(fma.f64 y z (fma.f64 x (*.f64 y (*.f64 y -1/2)) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))) |
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))) |
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 (*.f64 -1/2 (*.f64 y y)) x x))) |
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 x (fma.f64 (*.f64 y -1/2) y 1))) |
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 x (*.f64 y (*.f64 y -1/2)) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 z (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1))) |
(neg.f64 (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1)))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (*.f64 (sin.f64 y) (cbrt.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (*.f64 (sin.f64 y) (cbrt.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) |
(fma.f64 -1 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1)) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (*.f64 (sin.f64 y) (cbrt.f64 -1)))) |
Compiled 2177 to 991 computations (54.5% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 136 | 4 | 140 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 137 | 8 | 145 |
| Status | Error | Program |
|---|---|---|
| 35.9b | (fma.f64 x (cos.f64 y) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))) | |
| 30.8b | (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) | |
| ▶ | 0.6b | (fma.f64 x (cos.f64 y) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))) |
| ✓ | 29.2b | (fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
| 29.6b | (/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) | |
| 41.5b | (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3)) | |
| 0.6b | (fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))) | |
| ✓ | 0.1b | (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
Compiled 243 to 147 computations (39.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (cbrt.f64 (sin.f64 y)) z) |
| ✓ | 0.3b | (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)) |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (sin.f64 y)) 2) |
| ✓ | 0.6b | (cbrt.f64 (sin.f64 y)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (*.f64 (cbrt.f64 (sin.f64 y)) z) |
| 2.0ms | y | @ | inf | (*.f64 (cbrt.f64 (sin.f64 y)) z) |
| 2.0ms | y | @ | -inf | (*.f64 (cbrt.f64 (sin.f64 y)) z) |
| 2.0ms | y | @ | inf | (cbrt.f64 (sin.f64 y)) |
| 2.0ms | y | @ | -inf | (cbrt.f64 (sin.f64 y)) |
| 1× | batch-egg-rewrite |
| 769× | pow1_binary64 |
| 708× | log1p-expm1-u_binary64 |
| 708× | expm1-log1p-u_binary64 |
| 86× | add-sqr-sqrt_binary64 |
| 83× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 181 | 27 |
| 2 | 2015 | 27 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (sin.f64 y)) |
(pow.f64 (cbrt.f64 (sin.f64 y)) 2) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)) |
(*.f64 (cbrt.f64 (sin.f64 y)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (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 (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 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(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 (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 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2)))) (#(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 fabs.f64 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.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 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 log.f64 (+.f64 1 (expm1.f64 (*.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 cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 3) (pow.f64 (sin.f64 y) 2)))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sin.f64 y) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z))))))) |
| 1× | egg-herbie |
| 1310× | fma-def_binary64 |
| 614× | unswap-sqr_binary64 |
| 319× | associate-*l*_binary64 |
| 306× | *-commutative_binary64 |
| 255× | sqr-pow_binary64 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 460 |
| 1 | 98 | 457 |
| 2 | 244 | 446 |
| 3 | 672 | 444 |
| 4 | 1977 | 444 |
| 5 | 2370 | 444 |
| 6 | 2798 | 444 |
| 7 | 3703 | 444 |
| 8 | 3909 | 444 |
| 9 | 4213 | 442 |
| 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) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(*.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 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
| 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)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 y) 2)) |
(*.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 (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 1/120 (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))) |
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))) |
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y)))) |
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) y)))) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z) |
(*.f64 z (cbrt.f64 (sin.f64 y))) |
Compiled 1895 to 736 computations (61.2% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 0 | 109 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 109 | 8 | 117 |
| Status | Error | Program |
|---|---|---|
| 35.9b | (fma.f64 x (cos.f64 y) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))) | |
| 30.8b | (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) | |
| ✓ | 0.6b | (fma.f64 x (cos.f64 y) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))) |
| ✓ | 29.2b | (fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
| 29.6b | (/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) | |
| 41.5b | (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3)) | |
| ▶ | 0.6b | (fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))) |
| ✓ | 0.1b | (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
Compiled 225 to 136 computations (39.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) |
| ✓ | 0.3b | (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 z) 2) |
| ✓ | 0.6b | (cbrt.f64 z) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | (cbrt.f64 z) |
| 2.0ms | y | @ | inf | (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) |
| 2.0ms | z | @ | 0 | (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
| 2.0ms | y | @ | inf | (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
| 1.0ms | z | @ | -inf | (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
| 1× | batch-egg-rewrite |
| 766× | pow1_binary64 |
| 705× | log1p-expm1-u_binary64 |
| 705× | expm1-log1p-u_binary64 |
| 86× | add-sqr-sqrt_binary64 |
| 83× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 181 | 26 |
| 2 | 2011 | 26 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 z) |
(pow.f64 (cbrt.f64 z) 2) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (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 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))))) (#(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 (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 (pow.f64 (cbrt.f64 z) 2) 1/2)))) (#(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 fabs.f64 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 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 (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 (sin.f64 y)) z))))) (#(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 z (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y))))))) (#(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 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 exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(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 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z (cbrt.f64 z)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 654× | distribute-lft-out_binary64 |
| 556× | unswap-sqr_binary64 |
| 360× | *-commutative_binary64 |
| 269× | fma-def_binary64 |
| 216× | sqr-pow_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 410 |
| 1 | 136 | 407 |
| 2 | 402 | 366 |
| 3 | 1405 | 352 |
| 4 | 2396 | 352 |
| 5 | 3245 | 352 |
| 6 | 3382 | 352 |
| 7 | 3549 | 352 |
| 8 | 3676 | 352 |
| 9 | 3827 | 352 |
| 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 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 7))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (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 (*.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 1/120 (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) y) (fma.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 (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 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y) |
(*.f64 y (cbrt.f64 (*.f64 z z))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)) |
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 (*.f64 z z))) (*.f64 y (cbrt.f64 (*.f64 z z)))) |
(*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))) |
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 (*.f64 z z))) (fma.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 (*.f64 z z))) (*.f64 y (cbrt.f64 (*.f64 z z))))) |
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 (*.f64 z z))) (*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 1/120 (pow.f64 y 5) y))) |
(*.f64 (cbrt.f64 (*.f64 z 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 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 7))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)))) |
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 (*.f64 z z))) (fma.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 (*.f64 z z))) (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) (cbrt.f64 (*.f64 z z))) (*.f64 y (cbrt.f64 (*.f64 z z)))))) |
(+.f64 (*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))) (*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 -1/6 (pow.f64 y 3) y))) |
(*.f64 (cbrt.f64 (*.f64 z 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 (cbrt.f64 (*.f64 z 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 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y)) |
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) |
Compiled 1954 to 885 computations (54.7% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 110 | 2 | 112 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 2 | 3 |
| Total | 111 | 9 | 120 |
| Status | Error | Program |
|---|---|---|
| 35.9b | (fma.f64 x (cos.f64 y) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))) | |
| 30.8b | (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) | |
| 29.6b | (/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) | |
| 0.8b | (fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 z))) | |
| 41.5b | (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3)) | |
| 0.9b | (fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)) (cbrt.f64 z))) | |
| ✓ | 0.6b | (fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))) |
| ✓ | 29.2b | (fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
| ✓ | 0.1b | (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
Compiled 162 to 100 computations (38.3% saved)
Total -60.6b remaining (-55407.8%)
Threshold costs -60.6b (-55407.8%)
| Inputs |
|---|
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)) (cbrt.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))) |
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3)) |
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) |
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) |
(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
| Time | Error | Segments | Branch |
| 8.0ms | 0.1b | 1 | x |
| 7.0ms | 0.1b | 1 | y |
| 7.0ms | 0.1b | 1 | z |
| 9.0ms | 0.1b | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 197 to 80 computations (59.4% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 9 | 12 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
| 1× | fuel |
Compiled 22 to 14 computations (36.4% saved)
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