Time bar (total: 6.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 8 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 9 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 10 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 11 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.5s | 6282× | body | 256 | valid |
| 711.0ms | 1324× | body | 1024 | valid |
| 262.0ms | 647× | body | 512 | valid |
| 2.0ms | 3× | body | 2048 | valid |
| 2× | egg-herbie |
| 50× | +-commutative |
| 48× | fma-def |
| 16× | associate-+l+ |
| 8× | associate-+r+ |
| 8× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 108 |
| 1 | 44 | 92 |
| 2 | 77 | 92 |
| 3 | 98 | 92 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x))) |
(+.f64 (+.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (+.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x))) |
(+.f64 y (+.f64 (sin.f64 x) (*.f64 z (cos.f64 x)))) |
(fma.f64 z (cos.f64 x) (+.f64 y (sin.f64 x))) |
(+.f64 y (fma.f64 z (cos.f64 x) (sin.f64 x))) |
(+.f64 (+.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(+.f64 (+.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) |
(fma.f64 x (cos.f64 y) (+.f64 (sin.f64 y) z)) |
(+.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) z)) |
(+.f64 (+.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z))) |
(+.f64 x (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))) |
(fma.f64 y (cos.f64 z) (+.f64 x (sin.f64 z))) |
(+.f64 x (fma.f64 y (cos.f64 z) (sin.f64 z))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 14× | +-commutative |
| 12× | fma-def |
| 4× | associate-+l+ |
| 2× | associate-+r+ |
| 2× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 16 | 23 |
| 2 | 25 | 23 |
| 3 | 31 | 23 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
Compiled 28 to 11 computations (60.7% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 1 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 2 | 4 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.08% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (+.f64 x (sin.f64 y)) |
| ✓ | 0.01% | (sin.f64 y) |
| ✓ | 0.18% | (*.f64 z (cos.f64 y)) |
Compiled 27 to 8 computations (70.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 z (cos.f64 y)) |
| 0.0ms | y | @ | 0 | (*.f64 z (cos.f64 y)) |
| 0.0ms | z | @ | inf | (*.f64 z (cos.f64 y)) |
| 0.0ms | z | @ | -inf | (*.f64 z (cos.f64 y)) |
| 0.0ms | y | @ | inf | (*.f64 z (cos.f64 y)) |
| 1× | batch-egg-rewrite |
| 936× | *-commutative |
| 780× | unswap-sqr |
| 554× | swap-sqr |
| 410× | distribute-lft-in |
| 404× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 204 | 27 |
| 2 | 2611 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (cos.f64 y)) |
(sin.f64 y) |
(+.f64 x (sin.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y)))) (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (exp.f64 (log1p.f64 (sin.f64 y)))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (neg.f64 (-.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (+.f64 (*.f64 x x) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) 2))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) 3))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) (cbrt.f64 (+.f64 (sin.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) (cbrt.f64 (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)))) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 3/2) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 1/6) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 y) x) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (/.f64 (fma.f64 x x (*.f64 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(pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (*.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (sin.f64 y) 6) (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 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(sin.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y)))))) |
| 1× | egg-herbie |
| 742× | associate-/r/ |
| 634× | associate-+r+ |
| 604× | +-commutative |
| 560× | associate-/l/ |
| 540× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 368 | 5019 |
| 1 | 1004 | 4659 |
| 2 | 4464 | 4655 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
y |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7))))) |
(sin.f64 y) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
x |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
x |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
x |
(+.f64 y x) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x))) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)) |
(pow.f64 (*.f64 z (cos.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) |
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(+.f64 (exp.f64 (log1p.f64 (sin.f64 y))) -1) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) |
(*.f64 (sin.f64 y) 1) |
(*.f64 1 (sin.f64 y)) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y)))) (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (exp.f64 (log1p.f64 (sin.f64 y)))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)) |
(pow.f64 (sin.f64 y) 1) |
(pow.f64 (sqrt.f64 (sin.f64 y)) 2) |
(pow.f64 (cbrt.f64 (sin.f64 y)) 3) |
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 y) 2)) |
(log.f64 (exp.f64 (sin.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y)))) |
(cbrt.f64 (pow.f64 (sin.f64 y) 3)) |
(expm1.f64 (log1p.f64 (sin.f64 y))) |
(exp.f64 (log.f64 (sin.f64 y))) |
(log1p.f64 (expm1.f64 (sin.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) 1) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (sin.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 x)) |
(-.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y)))) |
(-.f64 (+.f64 (sin.f64 y) (exp.f64 (log1p.f64 x))) 1) |
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (sin.f64 y)))) 1) |
(*.f64 (+.f64 (sin.f64 y) x) 1) |
(*.f64 1 (+.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x))) |
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 1 (-.f64 x (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (neg.f64 (-.f64 x (sin.f64 y))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (+.f64 (*.f64 x x) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) 2))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) 3))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) (cbrt.f64 (+.f64 (sin.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) (cbrt.f64 (+.f64 (sin.f64 y) x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)))) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 3/2) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 1/6) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 1/6)) |
(/.f64 (+.f64 (sin.f64 y) x) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y)))) |
(/.f64 1 (/.f64 1 (+.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) |
(/.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (/.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (+.f64 (sin.f64 y) x))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (/.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (/.f64 (-.f64 x (sin.f64 y)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (/.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (/.f64 (-.f64 x (sin.f64 y)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (*.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (sin.f64 y) 6) (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (pow.f64 (*.f64 (sin.f64 y) x) 2)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (sqrt.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (cbrt.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) 1) (-.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 1) (neg.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (sqrt.f64 (+.f64 (sin.f64 y) x))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (sqrt.f64 (+.f64 (sin.f64 y) x))) (sqrt.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (/.f64 1 (-.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (/.f64 1 (-.f64 x (sin.f64 y)))) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (sin.f64 y) 6) (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) 1) (-.f64 x (sin.f64 y))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (-.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (cbrt.f64 (-.f64 x (sin.f64 y))))) (cbrt.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (+.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) 1)) |
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))) (+.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))) |
(pow.f64 (+.f64 (sin.f64 y) x) 1) |
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 3) |
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (neg.f64 (-.f64 x (sin.f64 y))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))) |
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) |
(log.f64 (exp.f64 (+.f64 (sin.f64 y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 y) x)))) |
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) |
(exp.f64 (log.f64 (+.f64 (sin.f64 y) x))) |
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x))) |
(fma.f64 1 (sin.f64 y) x) |
(fma.f64 1 x (sin.f64 y)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))) |
(+.f64 z (*.f64 z (+.f64 (+.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 1/24 (pow.f64 y 4))))) |
y |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) |
(fma.f64 -1/6 (pow.f64 y 3) y) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)) |
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7))))) |
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7)))) |
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))) |
(sin.f64 y) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
x |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
x |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
x |
(+.f64 y x) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x)) |
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) x) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x))) |
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) x)) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) -1) |
(*.f64 (cos.f64 y) z) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) |
(*.f64 (cos.f64 y) z) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)) |
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1) (*.f64 (cos.f64 y) z)) (+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 (cos.f64 y) z)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)) |
(pow.f64 (*.f64 z (cos.f64 y)) 1) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3) |
(*.f64 (cos.f64 y) z) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
(fabs.f64 (*.f64 (cos.f64 y) z)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
(*.f64 (cos.f64 y) z) |
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) |
(*.f64 (cos.f64 y) z) |
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (exp.f64 (log1p.f64 (sin.f64 y))) -1) |
(sin.f64 y) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) |
(sin.f64 y) |
(*.f64 (sin.f64 y) 1) |
(sin.f64 y) |
(*.f64 1 (sin.f64 y)) |
(sin.f64 y) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y))) |
(sin.f64 y) |
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) |
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(+.f64 (sin.f64 y) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x) |
(+.f64 (sin.f64 y) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
Compiled 4822 to 1743 computations (63.9% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 6 | 207 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 202 | 6 | 208 |
| Status | Error | Program |
|---|---|---|
| 56.35% | (+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) | |
| ▶ | 0.84% | (+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) |
| ▶ | 36.83% | (+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
| ▶ | 17.42% | (+.f64 (+.f64 x (sin.f64 y)) z) |
| ▶ | 46.9% | (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| ▶ | 11.97% | (+.f64 x (*.f64 z (cos.f64 y))) |
Compiled 146 to 104 computations (28.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (+.f64 x (sin.f64 y)) | |
| 0.18% | (*.f64 z (cos.f64 y)) | |
| ✓ | 0.92% | (cbrt.f64 (*.f64 z (cos.f64 y))) |
| ✓ | 1.11% | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
Compiled 43 to 14 computations (67.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
| 2.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
| 2.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
| 2.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
| 1.0ms | z | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
| 1× | batch-egg-rewrite |
| 1654× | add-sqr-sqrt |
| 1624× | *-un-lft-identity |
| 1524× | add-cube-cbrt |
| 1504× | add-cbrt-cube |
| 172× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 203 | 26 |
| 2 | 2138 | 26 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))))) |
| 1× | egg-herbie |
| 1176× | fma-def |
| 908× | *-commutative |
| 784× | distribute-lft-in |
| 740× | distribute-rgt-in |
| 528× | distribute-lft-neg-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 1795 |
| 1 | 539 | 1709 |
| 2 | 1902 | 1635 |
| 3 | 5710 | 1617 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 1 1/3) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(pow.f64 z 1/3) |
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(*.f64 (*.f64 z (cos.f64 y)) 1) |
(*.f64 1 (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))) |
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1) |
(*.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) |
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1) |
(pow.f64 (*.f64 z (cos.f64 y)) 1/3) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/3)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
| Outputs |
|---|
(*.f64 (pow.f64 1 1/3) z) |
z |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(fma.f64 z (*.f64 (*.f64 y y) -1/2) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (*.f64 z -1/72))) (pow.f64 y 4) (fma.f64 z (*.f64 (*.f64 y y) -1/2) z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/24)) (pow.f64 y 4) (fma.f64 z (*.f64 (*.f64 y y) -1/2) z)) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))) |
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (*.f64 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) -1/9)) (+.f64 (*.f64 1/3 (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (fma.f64 -1/6 (*.f64 (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z)) (*.f64 -1/9 (*.f64 z -1/24))))) (pow.f64 y 6) (fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))) |
(fma.f64 (fma.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72))) (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/24) -1/9))) (cbrt.f64 z) (fma.f64 1/3 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (fma.f64 (*.f64 -1/6 (cbrt.f64 z)) (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 (*.f64 z -1/24) -1/9)))) (pow.f64 y 6) (fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z))) |
(fma.f64 z (*.f64 (*.f64 y y) -1/2) (fma.f64 (fma.f64 1/3 (*.f64 z -23/2160) (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (*.f64 2/3 (*.f64 z -23/2160)) (*.f64 (*.f64 z -1/24) -1/9))) (cbrt.f64 z) (fma.f64 (*.f64 z -1/24) -1/9 (*.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 -1/6 (cbrt.f64 z)))))) (pow.f64 y 6) (fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (*.f64 z -1/72))) (pow.f64 y 4) z))) |
(fma.f64 z (*.f64 (*.f64 y y) -1/2) (fma.f64 (+.f64 (fma.f64 1/3 (*.f64 z -23/2160) (*.f64 (*.f64 z -1/24) -1/9)) (*.f64 (cbrt.f64 z) (+.f64 (*.f64 -1/6 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z))))) (*.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (*.f64 2/3 (*.f64 z -23/2160)) (*.f64 (*.f64 z -1/24) -1/9)))))) (pow.f64 y 6) (fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/24)) (pow.f64 y 4) z))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(pow.f64 z 1/3) |
(cbrt.f64 z) |
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z)) |
(fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)) |
(fma.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 y y)) (cbrt.f64 z)) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 z -1/24) (pow.f64 y 4))) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 (pow.f64 y 4) z) -1/24)) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z))) |
(fma.f64 (*.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (*.f64 z z)))) (*.f64 z -1/72) (fma.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 y y)) (cbrt.f64 z))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24)))) (pow.f64 y 6))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 z -1/24) (pow.f64 y 4))) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z)))) |
(+.f64 (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 z z)))) (+.f64 (*.f64 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (pow.f64 y 6)) (*.f64 (*.f64 (pow.f64 y 4) z) -1/24)))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (fma.f64 (*.f64 z -23/2160) (pow.f64 y 6) (*.f64 (*.f64 z -1/24) (pow.f64 y 4)))) (fma.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 y y)) (cbrt.f64 z))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (*.f64 z (cos.f64 y)) 1) |
(*.f64 z (cos.f64 y)) |
(*.f64 1 (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 z (cos.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(*.f64 z (cos.f64 y)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) |
(*.f64 z (cos.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 z (cos.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
(*.f64 z (cos.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 z (cos.f64 y)) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 z (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1)) |
(*.f64 z (cos.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 z (cos.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3)) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) |
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 z (cos.f64 y)) 1/3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1)) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/3)) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.18% | (*.f64 z (cos.f64 y)) |
Compiled 18 to 6 computations (66.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (+.f64 x (sin.f64 y)) | |
| 0.01% | (sin.f64 y) |
Compiled 18 to 6 computations (66.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (sin.f64 y) | |
| ✓ | 0.01% | (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| 0.18% | (*.f64 z (cos.f64 y)) |
Compiled 20 to 7 computations (65% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| 0.0ms | y | @ | 0 | (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| 0.0ms | y | @ | inf | (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| 0.0ms | y | @ | -inf | (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| 0.0ms | z | @ | inf | (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| 1× | batch-egg-rewrite |
| 1984× | add-sqr-sqrt |
| 1968× | *-un-lft-identity |
| 1828× | add-cube-cbrt |
| 1808× | add-cbrt-cube |
| 196× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 185 | 17 |
| 2 | 2414 | 17 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
| 1× | egg-herbie |
| 1526× | associate-*r* |
| 844× | associate-+r+ |
| 770× | distribute-lft-neg-in |
| 666× | distribute-rgt-neg-in |
| 576× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 1673 |
| 1 | 258 | 1623 |
| 2 | 992 | 1623 |
| 3 | 4601 | 1623 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 y z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(sin.f64 y) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1) |
(*.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) |
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) |
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 3) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fma.f64 1 (*.f64 z (cos.f64 y)) (sin.f64 y)) |
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
z |
(+.f64 y z) |
(+.f64 z y) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y)) |
(+.f64 z (fma.f64 z (*.f64 y (*.f64 y -1/2)) y)) |
(+.f64 z (fma.f64 z (*.f64 -1/2 (*.f64 y y)) y)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))) |
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y))) |
(+.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 z (*.f64 y (*.f64 y -1/2)) y))) |
(+.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 z (*.f64 -1/2 (*.f64 y y)) y))) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(sin.f64 y) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) 1) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (pow.f64 (sin.f64 y) 2))) |
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (pow.f64 (sin.f64 y) 2))) |
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 3) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) 1/3) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 1 (*.f64 z (cos.f64 y)) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (+.f64 x (sin.f64 y)) | |
| 0.18% | (*.f64 z (cos.f64 y)) | |
| ✓ | 0.21% | (pow.f64 (*.f64 z (cos.f64 y)) 3) |
| ✓ | 58.94% | (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
Compiled 44 to 17 computations (61.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (pow.f64 (*.f64 z (cos.f64 y)) 3) |
| 1.0ms | z | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
| 1.0ms | y | @ | inf | (pow.f64 (*.f64 z (cos.f64 y)) 3) |
| 1.0ms | y | @ | -inf | (pow.f64 (*.f64 z (cos.f64 y)) 3) |
| 0.0ms | z | @ | -inf | (pow.f64 (*.f64 z (cos.f64 y)) 3) |
| 1× | batch-egg-rewrite |
| 1668× | add-sqr-sqrt |
| 1638× | *-un-lft-identity |
| 1538× | add-cube-cbrt |
| 1522× | add-cbrt-cube |
| 176× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 205 | 28 |
| 2 | 2196 | 28 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
(pow.f64 (*.f64 z (cos.f64 y)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (*.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))))) |
| 1× | egg-herbie |
| 1150× | fma-def |
| 916× | *-commutative |
| 906× | distribute-lft-out |
| 734× | distribute-lft-neg-in |
| 724× | distribute-rgt-neg-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 1915 |
| 1 | 450 | 1863 |
| 2 | 1870 | 1797 |
| 3 | 6045 | 1781 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 z 3) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 1/2 (pow.f64 z 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (*.f64 -1/720 (pow.f64 z 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)) (*.f64 -1/24 (pow.f64 z 3)))))) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 1/2 (pow.f64 z 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 z (cos.f64 y)) 1) |
(*.f64 1 (*.f64 z (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))) |
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)) |
(pow.f64 (*.f64 z (cos.f64 y)) 1) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) |
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3)) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1) |
(*.f64 z (*.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(*.f64 (cos.f64 y) (*.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1) |
(*.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2)) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y)) |
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z) |
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1) (*.f64 z (cos.f64 y))) |
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6)) |
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(exp.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y))))) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
(*.f64 (cbrt.f64 -1) (neg.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (cos.f64 y) (*.f64 z (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
(*.f64 (cbrt.f64 -1) (neg.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (cos.f64 y) (*.f64 z (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
(*.f64 (cbrt.f64 -1) (neg.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (cos.f64 y) (*.f64 z (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) |
(*.f64 (cbrt.f64 -1) (neg.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (cos.f64 y) (*.f64 z (neg.f64 (cbrt.f64 -1)))) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z) |
(fma.f64 z (*.f64 y (*.f64 y -1/2)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)) |
(*.f64 z (+.f64 (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))) |
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 z (+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(pow.f64 z 3) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3)) |
(fma.f64 (*.f64 (pow.f64 z 3) -3/2) (*.f64 y y) (pow.f64 z 3)) |
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)) |
(fma.f64 y (*.f64 y (*.f64 (pow.f64 z 3) -3/2)) (pow.f64 z 3)) |
(*.f64 (pow.f64 z 3) (+.f64 1 (*.f64 (*.f64 y y) -3/2))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 1/2 (pow.f64 z 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))) |
(+.f64 (fma.f64 (*.f64 (pow.f64 z 3) -3/2) (*.f64 y y) (pow.f64 z 3)) (*.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (*.f64 z (*.f64 (*.f64 z z) 1/3)))))) |
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 z 3) -3/2) (fma.f64 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 z 3) 1/3) (*.f64 (pow.f64 z 3) 13/24)) (pow.f64 z 3))) |
(fma.f64 y (*.f64 y (*.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 z 3) 7/8) (pow.f64 z 3))) |
(fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 z 3) 7/8) (*.f64 (pow.f64 z 3) (+.f64 1 (*.f64 (*.f64 y y) -3/2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (*.f64 -1/720 (pow.f64 z 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)) (*.f64 -1/24 (pow.f64 z 3)))))) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 1/2 (pow.f64 z 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))) |
(+.f64 (fma.f64 (*.f64 (pow.f64 z 3) -3/2) (*.f64 y y) (pow.f64 z 3)) (fma.f64 (pow.f64 y 6) (fma.f64 (*.f64 (*.f64 z z) -2/45) z (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (*.f64 z (*.f64 (*.f64 z z) 1/3)) (*.f64 (pow.f64 z 3) -1/24)))) (*.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (*.f64 z (*.f64 (*.f64 z z) 1/3))))))) |
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)) (fma.f64 (pow.f64 y 6) (+.f64 (*.f64 (pow.f64 z 3) -2/45) (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (*.f64 (pow.f64 z 3) 1/3) (*.f64 (pow.f64 z 3) -1/24)))) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 z 3) 1/3) (*.f64 (pow.f64 z 3) 13/24))))) |
(fma.f64 y (*.f64 y (*.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 z 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 (pow.f64 z 3) -2/45 (fma.f64 -1/2 (*.f64 (pow.f64 z 3) 1/3) (*.f64 (pow.f64 z 3) -31/720))) (pow.f64 z 3)))) |
(fma.f64 y (*.f64 y (*.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 z 3) 7/8) (fma.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 z 3) 1/3)) (*.f64 (pow.f64 z 3) -7/80)) (pow.f64 z 3)))) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 z (cos.f64 y)) 1) |
(*.f64 (cos.f64 y) z) |
(*.f64 1 (*.f64 z (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2))) |
(pow.f64 (*.f64 z (cos.f64 y)) 1) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
(*.f64 (cos.f64 y) z) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(*.f64 (cos.f64 y) z) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1)) |
(*.f64 (cos.f64 y) z) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3)) |
(*.f64 (cos.f64 y) z) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 z (*.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (cos.f64 y) (*.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1) (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(exp.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y))))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1)) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(pow.f64 (*.f64 (cos.f64 y) z) 3) |
Compiled 19633 to 8047 computations (59% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 843 | 13 | 856 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 846 | 16 | 862 |
| Status | Error | Program |
|---|---|---|
| ▶ | 34.02% | (+.f64 (+.f64 y x) z) |
| ▶ | 0.78% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))) |
| 57.96% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) | |
| 25.12% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) | |
| ✓ | 17.42% | (+.f64 (+.f64 x (sin.f64 y)) z) |
| ✓ | 46.9% | (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| 63.69% | (+.f64 (sin.f64 y) z) | |
| 72.39% | (+.f64 z y) | |
| 61.3% | (+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) | |
| 12.71% | (+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) | |
| ✓ | 11.97% | (+.f64 x (*.f64 z (cos.f64 y))) |
| ▶ | 48.66% | (+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
| ▶ | 28.69% | (+.f64 x z) |
| ▶ | 58.29% | (*.f64 (cos.f64 y) z) |
| 86.41% | (sin.f64 y) | |
| 74.47% | z |
Compiled 292 to 200 computations (31.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.43% | (cbrt.f64 (cos.f64 y)) |
| ✓ | 0.77% | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
| ✓ | 0.89% | (cbrt.f64 z) |
| 0.92% | (cbrt.f64 (*.f64 z (cos.f64 y))) |
Compiled 75 to 21 computations (72% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | (cbrt.f64 (cos.f64 y)) |
| 2.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
| 1.0ms | y | @ | inf | (cbrt.f64 (cos.f64 y)) |
| 0.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
| 0.0ms | z | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
| 1× | batch-egg-rewrite |
| 1948× | add-sqr-sqrt |
| 1928× | *-un-lft-identity |
| 1790× | add-cube-cbrt |
| 1764× | add-cbrt-cube |
| 214× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 35 |
| 1 | 229 | 35 |
| 2 | 2558 | 35 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 z) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(cbrt.f64 (cos.f64 y)) |
| 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 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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 *.f64 (pow.f64 (cbrt.f64 (*.f64 z z)) 1/3) (cbrt.f64 (cbrt.f64 z)))))) (#(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 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 z 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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (cbrt.f64 z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y)))))))) |
| 1× | egg-herbie |
| 1692× | distribute-rgt-in |
| 1690× | distribute-lft-in |
| 802× | +-commutative |
| 744× | *-commutative |
| 674× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 1725 |
| 1 | 421 | 1641 |
| 2 | 1501 | 1589 |
| 3 | 4245 | 1589 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 z 2) 1/3) |
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))) |
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))) |
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))))) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cos.f64 y) 1/3) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1) |
(*.f64 (cbrt.f64 z) 1) |
(*.f64 1 (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 z)) |
(*.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z z)) 1/3) (cbrt.f64 (cbrt.f64 z))) |
(pow.f64 z 1/3) |
(pow.f64 (cbrt.f64 z) 1) |
(pow.f64 (pow.f64 z 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) |
(sqrt.f64 (cbrt.f64 (*.f64 z z))) |
(log.f64 (exp.f64 (cbrt.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 z))) |
(exp.f64 (log.f64 (cbrt.f64 z))) |
(exp.f64 (*.f64 (log.f64 z) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1)) |
(log1p.f64 (expm1.f64 (cbrt.f64 z))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1) |
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) |
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) |
(*.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4)) |
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1) |
(*.f64 (cbrt.f64 (cos.f64 y)) 1) |
(*.f64 1 (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) |
(pow.f64 (cos.f64 y) 1/3) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 1) |
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) |
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y)))) |
| Outputs |
|---|
(pow.f64 (pow.f64 z 2) 1/3) |
(cbrt.f64 (*.f64 z z)) |
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))) |
(+.f64 (cbrt.f64 (*.f64 z z)) (*.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 y y)))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 y y)) (cbrt.f64 (*.f64 z z))) |
(*.f64 (+.f64 (*.f64 -1/3 (*.f64 y y)) 1) (cbrt.f64 (*.f64 z z))) |
(*.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y y))) (cbrt.f64 (*.f64 z z))) |
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))) |
(+.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 (pow.f64 y 4) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 z -1/24)) (*.f64 (cbrt.f64 (*.f64 z z)) 1/36)) (*.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 y y))))) |
(+.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 (pow.f64 y 4) (fma.f64 (cbrt.f64 (*.f64 z z)) 1/36 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/24) 2/3))) (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (*.f64 y y) -1/3)))) |
(fma.f64 (pow.f64 y 4) (fma.f64 2/3 (*.f64 z (*.f64 (cbrt.f64 (/.f64 1 z)) -1/24)) (*.f64 (cbrt.f64 (*.f64 z z)) 1/36)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 y y)) 1) (cbrt.f64 (*.f64 z z)))) |
(fma.f64 (pow.f64 y 4) (fma.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 2/3 (*.f64 z -1/24)) (*.f64 (cbrt.f64 (*.f64 z z)) 1/36)) (*.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y y))) (cbrt.f64 (*.f64 z z)))) |
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))))) |
(+.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 (pow.f64 y 6) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (*.f64 (*.f64 -1/9 (cbrt.f64 (/.f64 1 z))) (*.f64 z -1/24))) (fma.f64 (pow.f64 y 4) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 z -1/24)) (*.f64 (cbrt.f64 (*.f64 z z)) 1/36)) (*.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 y y)))))) |
(+.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 (pow.f64 y 6) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72))) (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/24) -1/9))) (fma.f64 (pow.f64 y 4) (fma.f64 (cbrt.f64 (*.f64 z z)) 1/36 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/24) 2/3))) (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (*.f64 y y) -1/3))))) |
(fma.f64 (pow.f64 y 6) (*.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (*.f64 2/3 (*.f64 z -23/2160)) (*.f64 (*.f64 z -1/24) -1/9))) (fma.f64 (pow.f64 y 4) (fma.f64 2/3 (*.f64 z (*.f64 (cbrt.f64 (/.f64 1 z)) -1/24)) (*.f64 (cbrt.f64 (*.f64 z z)) 1/36)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 y y)) 1) (cbrt.f64 (*.f64 z z))))) |
(fma.f64 (pow.f64 y 6) (*.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (*.f64 2/3 (*.f64 z -23/2160)) (*.f64 (*.f64 z -1/24) -1/9))) (fma.f64 (pow.f64 y 4) (fma.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 2/3 (*.f64 z -1/24)) (*.f64 (cbrt.f64 (*.f64 z z)) 1/36)) (*.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y y))) (cbrt.f64 (*.f64 z z))))) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 (*.f64 y y) -1/6)) |
(fma.f64 (*.f64 y y) -1/6 1) |
(fma.f64 y (*.f64 y -1/6) 1) |
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (*.f64 (*.f64 y y) -1/6))) |
(fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (*.f64 y y) -1/6 1)) |
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) -1/72 1)) |
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) |
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (*.f64 (*.f64 y y) -1/6)))) |
(fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (*.f64 y y) -1/6 1))) |
(fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 y (*.f64 y -1/6) 1))) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1) |
(cbrt.f64 z) |
(*.f64 (cbrt.f64 z) 1) |
(cbrt.f64 z) |
(*.f64 1 (cbrt.f64 z)) |
(cbrt.f64 z) |
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6)) |
(cbrt.f64 z) |
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) |
(cbrt.f64 z) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z))) |
(cbrt.f64 z) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 z)) |
(cbrt.f64 z) |
(*.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z z)) 1/3) (cbrt.f64 (cbrt.f64 z))) |
(*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 (*.f64 z z)))) |
(pow.f64 z 1/3) |
(cbrt.f64 z) |
(pow.f64 (cbrt.f64 z) 1) |
(cbrt.f64 z) |
(pow.f64 (pow.f64 z 1/6) 2) |
(cbrt.f64 z) |
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) |
(cbrt.f64 z) |
(sqrt.f64 (cbrt.f64 (*.f64 z z))) |
(pow.f64 (*.f64 z z) 1/6) |
(log.f64 (exp.f64 (cbrt.f64 z))) |
(cbrt.f64 z) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z)))) |
(cbrt.f64 z) |
(expm1.f64 (log1p.f64 (cbrt.f64 z))) |
(cbrt.f64 z) |
(exp.f64 (log.f64 (cbrt.f64 z))) |
(cbrt.f64 z) |
(exp.f64 (*.f64 (log.f64 z) 1/3)) |
(cbrt.f64 z) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1)) |
(cbrt.f64 z) |
(log1p.f64 (expm1.f64 (cbrt.f64 z))) |
(cbrt.f64 z) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cos.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4))) |
(*.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cos.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1) |
(cbrt.f64 (cos.f64 y)) |
(*.f64 (cbrt.f64 (cos.f64 y)) 1) |
(cbrt.f64 (cos.f64 y)) |
(*.f64 1 (cbrt.f64 (cos.f64 y))) |
(cbrt.f64 (cos.f64 y)) |
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6)) |
(cbrt.f64 (cos.f64 y)) |
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) |
(cbrt.f64 (cos.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) |
(cbrt.f64 (cos.f64 y)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y))) |
(cbrt.f64 (cos.f64 y)) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) |
(pow.f64 (cos.f64 y) 1/3) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 1) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2) |
(cbrt.f64 (cos.f64 y)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3) |
(cbrt.f64 (cos.f64 y)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(cbrt.f64 (cos.f64 y)) |
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))) |
(cbrt.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y))))) |
(cbrt.f64 (cos.f64 y)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) |
(cbrt.f64 (cos.f64 y)) |
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y)))) |
(cbrt.f64 (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3)) |
(cbrt.f64 (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1)) |
(cbrt.f64 (cos.f64 y)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y)))) |
(cbrt.f64 (cos.f64 y)) |
Compiled 8 to 4 computations (50% saved)
Compiled 14 to 5 computations (64.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.18% | (*.f64 (cos.f64 y) z) |
Compiled 11 to 5 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (cos.f64 y) z) |
| 0.0ms | z | @ | inf | (*.f64 (cos.f64 y) z) |
| 0.0ms | z | @ | -inf | (*.f64 (cos.f64 y) z) |
| 0.0ms | y | @ | -inf | (*.f64 (cos.f64 y) z) |
| 0.0ms | y | @ | inf | (*.f64 (cos.f64 y) z) |
| 1× | batch-egg-rewrite |
| 1282× | add-sqr-sqrt |
| 1272× | *-un-lft-identity |
| 1170× | add-cube-cbrt |
| 1152× | add-cbrt-cube |
| 1138× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 135 | 11 |
| 2 | 1583 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))))))) |
| 1× | egg-herbie |
| 1238× | fma-def |
| 914× | log-prod |
| 884× | distribute-lft-out |
| 766× | *-commutative |
| 662× | associate-*r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 341 |
| 1 | 132 | 333 |
| 2 | 436 | 325 |
| 3 | 2085 | 319 |
| 4 | 5558 | 319 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1) |
(pow.f64 (*.f64 (cos.f64 y) z) 1) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)) |
(*.f64 z (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))) |
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 z (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 1)))) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) z) 1) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3) |
(*.f64 z (cos.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
(*.f64 z (cos.f64 y)) |
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) |
(*.f64 z (cos.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.18% | (*.f64 z (cos.f64 y)) | |
| 0.21% | (pow.f64 (*.f64 z (cos.f64 y)) 3) | |
| 58.94% | (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
Compiled 35 to 15 computations (57.1% saved)
Compiled 6470 to 2893 computations (55.3% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 294 | 5 | 299 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 299 | 16 | 315 |
| Status | Error | Program |
|---|---|---|
| 81.26% | (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2) | |
| ▶ | 59.01% | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
| ✓ | 34.02% | (+.f64 (+.f64 y x) z) |
| ✓ | 0.78% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))) |
| ✓ | 17.42% | (+.f64 (+.f64 x (sin.f64 y)) z) |
| ✓ | 46.9% | (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| ▶ | 63.69% | (+.f64 (sin.f64 y) z) |
| ▶ | 72.39% | (+.f64 z y) |
| ▶ | 64.58% | (+.f64 x (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
| ▶ | 31.39% | (+.f64 x (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) |
| ✓ | 11.97% | (+.f64 x (*.f64 z (cos.f64 y))) |
| ✓ | 28.69% | (+.f64 x z) |
| ✓ | 58.29% | (*.f64 (cos.f64 y) z) |
| 86.41% | (sin.f64 y) | |
| 86.87% | (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) | |
| 74.47% | z |
Compiled 225 to 157 computations (30.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.06% | (sqrt.f64 (cos.f64 y)) |
| ✓ | 0.09% | (*.f64 z (sqrt.f64 (cos.f64 y))) |
| ✓ | 0.18% | (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
Compiled 36 to 8 computations (77.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 z (sqrt.f64 (cos.f64 y))) |
| 0.0ms | y | @ | inf | (*.f64 z (sqrt.f64 (cos.f64 y))) |
| 0.0ms | y | @ | -inf | (*.f64 z (sqrt.f64 (cos.f64 y))) |
| 0.0ms | z | @ | inf | (*.f64 z (sqrt.f64 (cos.f64 y))) |
| 0.0ms | z | @ | -inf | (*.f64 z (sqrt.f64 (cos.f64 y))) |
| 1× | batch-egg-rewrite |
| 1644× | add-sqr-sqrt |
| 1630× | *-un-lft-identity |
| 1504× | add-cube-cbrt |
| 1478× | add-cbrt-cube |
| 176× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 175 | 35 |
| 2 | 2090 | 35 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(sqrt.f64 (cos.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cos.f64 y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y)))))))) |
| 1× | egg-herbie |
| 1290× | associate-+r+ |
| 1204× | associate-+l+ |
| 888× | *-commutative |
| 756× | unswap-sqr |
| 590× | fma-def |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 1379 |
| 1 | 325 | 1347 |
| 2 | 1094 | 1313 |
| 3 | 3928 | 1281 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
z |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1/96 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -19/5760 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1/96 (*.f64 (pow.f64 y 4) z))))) |
1 |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (*.f64 -1/96 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) |
(pow.f64 (*.f64 z (cos.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) 1) |
(pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1) |
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3) |
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3) |
(sqrt.f64 (*.f64 (cos.f64 y) (*.f64 z z))) |
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (cos.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))) |
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) |
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1) |
(*.f64 (sqrt.f64 (cos.f64 y)) 1) |
(*.f64 1 (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4)) |
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2)) |
(pow.f64 (cos.f64 y) 1/2) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 1) |
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3) |
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (cos.f64 y))) |
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y))))) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) |
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y)))) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)) |
(*.f64 z (+.f64 (*.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 z (+.f64 (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))) |
(fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) z (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))))) |
(*.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) z) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
z |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/4 (*.f64 z (*.f64 y y)) z) |
(fma.f64 (*.f64 y (*.f64 y z)) -1/4 z) |
(*.f64 z (fma.f64 y (*.f64 y -1/4) 1)) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1/96 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/4 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 z (pow.f64 y 4)) -1/96)) |
(fma.f64 (*.f64 y (*.f64 y z)) -1/4 (*.f64 (fma.f64 (pow.f64 y 4) -1/96 1) z)) |
(*.f64 z (fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 1))) |
(+.f64 (*.f64 -19/5760 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1/96 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -19/5760 (*.f64 z (pow.f64 y 6)) (+.f64 (fma.f64 -1/4 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 z (pow.f64 y 4)) -1/96))) |
(fma.f64 (*.f64 z (pow.f64 y 6)) -19/5760 (fma.f64 (*.f64 y (*.f64 y z)) -1/4 (*.f64 (fma.f64 (pow.f64 y 4) -1/96 1) z))) |
(+.f64 z (*.f64 z (fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (*.f64 (pow.f64 y 6) -19/5760))))) |
(*.f64 z (fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (fma.f64 (pow.f64 y 6) -19/5760 1)))) |
1 |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1) |
(fma.f64 -1/4 (*.f64 y y) 1) |
(fma.f64 (*.f64 y y) -1/4 1) |
(fma.f64 y (*.f64 y -1/4) 1) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (*.f64 -1/96 (pow.f64 y 4)))) |
(+.f64 (fma.f64 -1/4 (*.f64 y y) 1) (*.f64 (pow.f64 y 4) -1/96)) |
(fma.f64 (*.f64 y y) -1/4 (fma.f64 (pow.f64 y 4) -1/96 1)) |
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 1)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6))))) |
(+.f64 (fma.f64 -1/4 (*.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 (pow.f64 y 6) -19/5760))) |
(+.f64 (fma.f64 (*.f64 y y) -1/4 1) (fma.f64 (pow.f64 y 4) -1/96 (*.f64 (pow.f64 y 6) -19/5760))) |
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (fma.f64 (pow.f64 y 6) -19/5760 1))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (*.f64 z (cos.f64 y)) 1) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3) |
(*.f64 (cos.f64 y) z) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(*.f64 (cos.f64 y) z) |
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
(*.f64 (cos.f64 y) z) |
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1)) |
(*.f64 (cos.f64 y) z) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) 1) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(sqrt.f64 (*.f64 (cos.f64 y) (*.f64 z z))) |
(fabs.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) |
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (cos.f64 y)))) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3)) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 1)) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) |
(*.f64 z (sqrt.f64 (cos.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1) |
(sqrt.f64 (cos.f64 y)) |
(*.f64 (sqrt.f64 (cos.f64 y)) 1) |
(sqrt.f64 (cos.f64 y)) |
(*.f64 1 (sqrt.f64 (cos.f64 y))) |
(sqrt.f64 (cos.f64 y)) |
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4)) |
(sqrt.f64 (cos.f64 y)) |
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))) |
(sqrt.f64 (cos.f64 y)) |
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) |
(sqrt.f64 (cos.f64 y)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) |
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3/2) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y))) |
(sqrt.f64 (cos.f64 y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) |
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3/2) |
(pow.f64 (cos.f64 y) 1/2) |
(sqrt.f64 (cos.f64 y)) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 1) |
(sqrt.f64 (cos.f64 y)) |
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2) |
(sqrt.f64 (cos.f64 y)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3) |
(sqrt.f64 (cos.f64 y)) |
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) |
(fabs.f64 (sqrt.f64 (cos.f64 y))) |
(sqrt.f64 (cos.f64 y)) |
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y)))) |
(sqrt.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y))))) |
(sqrt.f64 (cos.f64 y)) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) |
(sqrt.f64 (cos.f64 y)) |
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y)))) |
(sqrt.f64 (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2)) |
(sqrt.f64 (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1)) |
(sqrt.f64 (cos.f64 y)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y)))) |
(sqrt.f64 (cos.f64 y)) |
Compiled 8 to 4 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (sin.f64 y) | |
| ✓ | 0.01% | (+.f64 (sin.f64 y) z) |
Compiled 11 to 5 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (+.f64 (sin.f64 y) z) |
| 0.0ms | y | @ | inf | (+.f64 (sin.f64 y) z) |
| 0.0ms | z | @ | -inf | (+.f64 (sin.f64 y) z) |
| 0.0ms | y | @ | -inf | (+.f64 (sin.f64 y) z) |
| 0.0ms | z | @ | 0 | (+.f64 (sin.f64 y) z) |
| 1× | batch-egg-rewrite |
| 1590× | add-sqr-sqrt |
| 1574× | *-un-lft-identity |
| 1466× | add-cube-cbrt |
| 1450× | add-cbrt-cube |
| 1436× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 146 | 11 |
| 2 | 1916 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sin.f64 y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) z)) (/.f64 (*.f64 z z) (-.f64 (sin.f64 y) z)))))) (#(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 (sqrt.f64 (+.f64 (sin.f64 y) z)) (sqrt.f64 (+.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 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (/.f64 1 (-.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sin.f64 y) z) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (-.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (-.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))) (neg.f64 (-.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) z)) 2)))) (#(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 (pow.f64 (+.f64 (sin.f64 y) z) 3) 1/3)))) (#(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 (exp.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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) z))))) |
| 1× | egg-herbie |
| 1076× | associate-*r* |
| 940× | associate-*l* |
| 762× | associate-+r+ |
| 516× | distribute-lft-neg-in |
| 496× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1080 |
| 1 | 255 | 1030 |
| 2 | 920 | 1030 |
| 3 | 4531 | 1030 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 y z) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y z)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (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)) |
(sin.f64 y) |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
z |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
z |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) z)) 1) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) z)) (/.f64 (*.f64 z z) (-.f64 (sin.f64 y) z))) |
(*.f64 (+.f64 (sin.f64 y) z) 1) |
(*.f64 1 (+.f64 (sin.f64 y) z)) |
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) z)) (sqrt.f64 (+.f64 (sin.f64 y) z))) |
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) z)) 2) (cbrt.f64 (+.f64 (sin.f64 y) z))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (/.f64 1 (-.f64 (sin.f64 y) z))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y)))))) |
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) z) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (-.f64 (sin.f64 y) z)) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) z)))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (-.f64 z (sin.f64 y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))) (neg.f64 (-.f64 (sin.f64 y) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y)))))) |
(pow.f64 (+.f64 (sin.f64 y) z) 1) |
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) z)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) z)) 3) |
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) z) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) z) 2)) |
(log.f64 (exp.f64 (+.f64 (sin.f64 y) z))) |
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) z) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) z))) |
(exp.f64 (log.f64 (+.f64 (sin.f64 y) z))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) z)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) z))) |
(fma.f64 1 (sin.f64 y) z) |
(fma.f64 1 z (sin.f64 y)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (sin.f64 y)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) z) |
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (sin.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) z) |
| Outputs |
|---|
z |
(+.f64 y z) |
(+.f64 z y) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y z)) |
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 z y)) |
(+.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) z))) |
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) z))) |
(+.f64 (fma.f64 1/120 (pow.f64 y 5) z) (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 -1/6 (pow.f64 y 3) z)) |
(+.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) 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)) |
(sin.f64 y) |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
z |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
z |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) z)) 1) |
(+.f64 z (sin.f64 y)) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) z)) (/.f64 (*.f64 z z) (-.f64 (sin.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (-.f64 (sin.f64 y) z)) |
(*.f64 (+.f64 (sin.f64 y) z) 1) |
(+.f64 z (sin.f64 y)) |
(*.f64 1 (+.f64 (sin.f64 y) z)) |
(+.f64 z (sin.f64 y)) |
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) z)) (sqrt.f64 (+.f64 (sin.f64 y) z))) |
(+.f64 z (sin.f64 y)) |
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) z)) 2)) |
(+.f64 z (sin.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) z)) 2) (cbrt.f64 (+.f64 (sin.f64 y) z))) |
(+.f64 z (sin.f64 y)) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (/.f64 1 (-.f64 (sin.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (-.f64 (sin.f64 y) z)) |
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (sin.f64 y)) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z)))) |
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) z) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (-.f64 (sin.f64 y) z)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (sin.f64 y)) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (-.f64 (sin.f64 y) z)) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (sin.f64 y)) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z)))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) z)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (sin.f64 y)) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z)))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (-.f64 z (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (-.f64 (sin.f64 y) z)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))) (neg.f64 (-.f64 (sin.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (-.f64 (sin.f64 y) z)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (-.f64 z (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (sin.f64 y)) (pow.f64 (sin.f64 y) 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z)))) |
(pow.f64 (+.f64 (sin.f64 y) z) 1) |
(+.f64 z (sin.f64 y)) |
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) z)) 2) |
(+.f64 z (sin.f64 y)) |
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) z)) 3) |
(+.f64 z (sin.f64 y)) |
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) z) 3) 1/3) |
(+.f64 z (sin.f64 y)) |
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) z) 2)) |
(+.f64 z (sin.f64 y)) |
(log.f64 (exp.f64 (+.f64 (sin.f64 y) z))) |
(+.f64 z (sin.f64 y)) |
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) z) 3)) |
(+.f64 z (sin.f64 y)) |
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) z))) |
(+.f64 z (sin.f64 y)) |
(exp.f64 (log.f64 (+.f64 (sin.f64 y) z))) |
(+.f64 z (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) z)) 1)) |
(+.f64 z (sin.f64 y)) |
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) z))) |
(+.f64 z (sin.f64 y)) |
(fma.f64 1 (sin.f64 y) z) |
(+.f64 z (sin.f64 y)) |
(fma.f64 1 z (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) z) |
(+.f64 z (sin.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (sin.f64 y)) |
(+.f64 z (sin.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) z) |
(+.f64 z (sin.f64 y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.18% | (*.f64 (cos.f64 y) z) | |
| ✓ | 0.92% | (cbrt.f64 (*.f64 (cos.f64 y) z)) |
| ✓ | 1.11% | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
Compiled 24 to 9 computations (62.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
| 0.0ms | z | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
| 0.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
| 0.0ms | z | @ | inf | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
| 0.0ms | y | @ | 0 | (cbrt.f64 (*.f64 (cos.f64 y) z)) |
| 1× | batch-egg-rewrite |
| 1654× | add-sqr-sqrt |
| 1624× | *-un-lft-identity |
| 1524× | add-cube-cbrt |
| 1504× | add-cbrt-cube |
| 172× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 203 | 26 |
| 2 | 2138 | 26 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
(cbrt.f64 (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/6)) (pow.f64 (*.f64 (cos.f64 y) z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (pow.f64 (*.f64 (cos.f64 y) z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))))))) |
| 1× | egg-herbie |
| 1176× | fma-def |
| 900× | *-commutative |
| 788× | distribute-lft-in |
| 740× | distribute-rgt-in |
| 528× | distribute-lft-neg-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 1795 |
| 1 | 539 | 1709 |
| 2 | 1900 | 1635 |
| 3 | 5741 | 1617 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 1 1/3) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))) |
(pow.f64 z 1/3) |
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) |
(*.f64 (*.f64 (cos.f64 y) z) 1) |
(*.f64 1 (*.f64 (cos.f64 y) z)) |
(*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/6)) (pow.f64 (*.f64 (cos.f64 y) z) 1/6)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) z))) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z)))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) 1) |
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1) |
(*.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (pow.f64 (*.f64 (cos.f64 y) z) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) |
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 1)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1/3)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
| Outputs |
|---|
(*.f64 (pow.f64 1 1/3) z) |
z |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1/3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 2) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) 1)) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1/3)) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)))) |
(cbrt.f64 (*.f64 z (cos.f64 y))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.11% | (*.f64 (cos.f64 y) (sqrt.f64 z)) |
| ✓ | 0.23% | (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
Compiled 33 to 8 computations (75.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (cos.f64 y) (sqrt.f64 z)) |
| 1.0ms | z | @ | -inf | (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
| 0.0ms | z | @ | -inf | (*.f64 (cos.f64 y) (sqrt.f64 z)) |
| 0.0ms | y | @ | inf | (*.f64 (cos.f64 y) (sqrt.f64 z)) |
| 0.0ms | y | @ | 0 | (*.f64 (cos.f64 y) (sqrt.f64 z)) |
| 1× | batch-egg-rewrite |
| 1644× | add-sqr-sqrt |
| 1630× | *-un-lft-identity |
| 1504× | add-cube-cbrt |
| 1478× | add-cbrt-cube |
| 176× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 175 | 26 |
| 2 | 2090 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))))))) |
| 1× | egg-herbie |
| 1554× | fma-def |
| 1224× | distribute-lft-in |
| 1194× | distribute-rgt-in |
| 760× | *-commutative |
| 606× | associate-+r+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 988 |
| 1 | 238 | 970 |
| 2 | 918 | 936 |
| 3 | 2892 | 918 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) |
(sqrt.f64 z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (sqrt.f64 z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z))))) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 z))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z)))))) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1) |
(pow.f64 (*.f64 (cos.f64 y) z) 1) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z)))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 1) |
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3) 1/3) |
(sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2))) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)) |
(*.f64 z (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))) |
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 z (+.f64 (fma.f64 -1/2 (*.f64 y y) 1) (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/720 (pow.f64 y 6))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
(sqrt.f64 z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (sqrt.f64 z)) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z)) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z))))) |
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z)))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (sqrt.f64 z))) (fma.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 (sqrt.f64 z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 z))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z)))))) |
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 z)) (+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z))))) |
(+.f64 (fma.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (*.f64 -1/2 (*.f64 y y))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 (sqrt.f64 z) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 (sqrt.f64 z) (+.f64 (fma.f64 -1/2 (*.f64 y y) 1) (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/720 (pow.f64 y 6))))) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (cos.f64 y)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) z) 1) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3) |
(*.f64 z (cos.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
(*.f64 z (cos.f64 y)) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) |
(*.f64 z (cos.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z)))) |
(*.f64 z (cos.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) |
(*.f64 z (cos.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1)) |
(*.f64 z (cos.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 1) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 2) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 3) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3) 1/3) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2))) |
(fabs.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 z))) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 1)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
Compiled 6408 to 3203 computations (50% saved)
16 alts after pruning (7 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 403 | 3 | 406 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 9 | 11 |
| Total | 406 | 16 | 422 |
| Status | Error | Program |
|---|---|---|
| 81.26% | (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2) | |
| ✓ | 59.01% | (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
| ✓ | 34.02% | (+.f64 (+.f64 y x) z) |
| ✓ | 17.42% | (+.f64 (+.f64 x (sin.f64 y)) z) |
| ✓ | 46.9% | (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| ✓ | 63.69% | (+.f64 (sin.f64 y) z) |
| ✓ | 72.39% | (+.f64 z y) |
| ✓ | 11.97% | (+.f64 x (*.f64 z (cos.f64 y))) |
| ✓ | 28.69% | (+.f64 x z) |
| 58.93% | (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))) | |
| 81.05% | (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) | |
| 68.14% | (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) | |
| ✓ | 58.29% | (*.f64 (cos.f64 y) z) |
| 86.41% | (sin.f64 y) | |
| 86.87% | (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) | |
| 74.47% | z |
Compiled 141 to 99 computations (29.8% saved)
| Inputs |
|---|
z |
(+.f64 x z) |
(+.f64 z y) |
(+.f64 (+.f64 y x) z) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(+.f64 (sin.f64 y) z) |
(+.f64 x (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) z) |
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2) |
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) |
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(+.f64 x (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(+.f64 x (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) |
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) |
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
4 calls:
| 14.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 14.0ms | z |
| 13.0ms | x |
| 13.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.08% | 1 | x |
| 0.08% | 1 | y |
| 0.08% | 1 | z |
| 0.08% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 259 to 85 computations (67.2% saved)
| Inputs |
|---|
z |
(+.f64 x z) |
(+.f64 z y) |
(+.f64 (+.f64 y x) z) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(+.f64 (sin.f64 y) z) |
(+.f64 x (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) z) |
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 x (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) z) |
(+.f64 x (*.f64 z (cos.f64 y))) |
3 calls:
| 26.0ms | y |
| 17.0ms | z |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 3.01% | 3 | x |
| 6.96% | 5 | y |
| 0.65% | 3 | z |
Compiled 56 to 25 computations (55.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 1.2162662795382928e-38 | 9.675663553626944e-30 |
| 28.0ms | -97311511.5643656 | -994.8468558265572 |
| 37.0ms | 244× | body | 256 | valid |
| 9.0ms | 22× | body | 1024 | valid |
| 7.0ms | 22× | body | 512 | valid |
Compiled 378 to 265 computations (29.9% saved)
| Inputs |
|---|
z |
(+.f64 x z) |
(+.f64 z y) |
(+.f64 (+.f64 y x) z) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(+.f64 (sin.f64 y) z) |
(+.f64 x (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 x (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 y x) z) |
(+.f64 x (*.f64 z (cos.f64 y))) |
3 calls:
| 19.0ms | x |
| 14.0ms | y |
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 9.57% | 3 | x |
| 9.28% | 3 | y |
| 11.97% | 1 | z |
Compiled 43 to 22 computations (48.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.838925752387434e-10 | 8.302664761141523e-10 |
| 23.0ms | -12719.299308837206 | -13.726438911353345 |
| 37.0ms | 224× | body | 256 | valid |
Compiled 284 to 195 computations (31.3% saved)
| Inputs |
|---|
z |
(+.f64 x z) |
(+.f64 z y) |
(+.f64 (+.f64 y x) z) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(+.f64 (sin.f64 y) z) |
| Outputs |
|---|
(+.f64 x z) |
(*.f64 (cos.f64 y) z) |
(+.f64 (sin.f64 y) z) |
(+.f64 x z) |
3 calls:
| 22.0ms | x |
| 18.0ms | z |
| 17.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 18.73% | 4 | x |
| 21.69% | 4 | y |
| 19.23% | 3 | z |
Compiled 37 to 20 computations (45.9% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 5.739990400737015e-19 | 1.3726141944783121e-16 |
| 145.0ms | -1.0785237946885231e-209 | -6.516433081676051e-223 |
| 37.0ms | -2.45160561826861e-20 | -4.3727465879975824e-30 |
| 127.0ms | 100× | body | 1024 | valid |
| 68.0ms | 291× | body | 256 | valid |
| 11.0ms | 41× | body | 512 | valid |
Compiled 433 to 320 computations (26.1% saved)
| Inputs |
|---|
z |
(+.f64 x z) |
(+.f64 z y) |
(+.f64 (+.f64 y x) z) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(+.f64 x z) |
(*.f64 (cos.f64 y) z) |
3 calls:
| 48.0ms | z |
| 17.0ms | y |
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.03% | 3 | x |
| 21.69% | 4 | y |
| 19.23% | 3 | z |
Compiled 33 to 19 computations (42.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 6.269823916572374e+57 | 9.730918352388114e+69 |
| 32.0ms | -8.712573741896302e+179 | -3.094201801681178e+176 |
| 55.0ms | 225× | body | 256 | valid |
| 20.0ms | 45× | body | 1024 | valid |
| 5.0ms | 18× | body | 512 | valid |
Compiled 288 to 211 computations (26.7% saved)
| Inputs |
|---|
z |
(+.f64 x z) |
(+.f64 z y) |
(+.f64 (+.f64 y x) z) |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 x z) |
(+.f64 (+.f64 y x) z) |
(sin.f64 y) |
(+.f64 (+.f64 y x) z) |
(+.f64 x z) |
3 calls:
| 22.0ms | x |
| 11.0ms | y |
| 4.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 24.8% | 5 | x |
| 26.01% | 3 | y |
| 28.69% | 1 | z |
Compiled 29 to 17 computations (41.4% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 64.0ms | 1.3513449604647432e-39 | 4.9165601643700254e-29 |
| 60.0ms | 1.6743316083330286e-199 | 7.481473099141871e-198 |
| 32.0ms | 6.596330407894827e-240 | 3.59589808070572e-236 |
| 22.0ms | -5.452048966541775e-93 | -3.6635072587481975e-94 |
| 86.0ms | 335× | body | 256 | valid |
| 42.0ms | 98× | body | 1024 | valid |
| 19.0ms | 63× | body | 512 | valid |
Compiled 499 to 354 computations (29.1% saved)
| Inputs |
|---|
z |
(+.f64 x z) |
(+.f64 z y) |
(+.f64 (+.f64 y x) z) |
| Outputs |
|---|
(+.f64 x z) |
(+.f64 (+.f64 y x) z) |
(+.f64 x z) |
3 calls:
| 11.0ms | x |
| 11.0ms | y |
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 26.38% | 3 | x |
| 26.01% | 3 | y |
| 28.69% | 1 | z |
Compiled 27 to 16 computations (40.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.838925752387434e-10 | 8.302664761141523e-10 |
| 26.0ms | -4.5699203020146646e+27 | -9.97189462394434e+23 |
| 40.0ms | 224× | body | 256 | valid |
Compiled 242 to 167 computations (31% saved)
| Inputs |
|---|
z |
(+.f64 x z) |
(+.f64 z y) |
| Outputs |
|---|
(+.f64 x z) |
(+.f64 z y) |
(+.f64 x z) |
3 calls:
| 9.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.97% | 3 | x |
| 28.69% | 1 | y |
| 28.69% | 1 | z |
Compiled 22 to 14 computations (36.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | -3.159066328412826e-298 | -2.348139156927249e-300 |
| 68.0ms | -1.704080454590939e-129 | -4.0407991400740225e-140 |
| 84.0ms | 62× | body | 1024 | valid |
| 27.0ms | 178× | body | 256 | valid |
| 13.0ms | 32× | body | 512 | valid |
Compiled 256 to 183 computations (28.5% saved)
Total -29.3b remaining (-159.7%)
Threshold costs -29.3b (-159.7%)
| Inputs |
|---|
z |
(+.f64 x z) |
| Outputs |
|---|
(+.f64 x z) |
3 calls:
| 5.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 28.69% | 1 | x |
| 28.69% | 1 | y |
| 28.69% | 1 | z |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 18× | +-commutative |
| 10× | if-if-or-not |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 420 |
| 1 | 100 | 420 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(if (<=.f64 z -1000) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 z 6779426540353309/713623846352979940529142984724747568191373312) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y -14) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 y 7930553376671967/9671406556917033397649408) (+.f64 (+.f64 y x) z) (+.f64 x (*.f64 z (cos.f64 y))))) |
(if (<=.f64 x -8677200356483931/340282366920938463463374607431768211456) (+.f64 x z) (if (<=.f64 x -7012105641494901/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) (*.f64 (cos.f64 y) z) (if (<=.f64 x 6490371073168535/5192296858534827628530496329220096) (+.f64 (sin.f64 y) z) (+.f64 x z)))) |
(if (<=.f64 z -330000000000000024952732538400507478228550868162350072227167630142754316818157195946215462560828680869997079378373219023233946332431700766461218127039857261284433740454764216320) (*.f64 (cos.f64 y) z) (if (<=.f64 z 290000000000000011456019420231672821846259659108058969483161431441408) (+.f64 x z) (*.f64 (cos.f64 y) z))) |
(if (<=.f64 x -5284220811241125/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (+.f64 x z) (if (<=.f64 x 357986298980937/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (+.f64 (+.f64 y x) z) (if (<=.f64 x 7325475661932327/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (sin.f64 y) (if (<=.f64 x 4190417494555165/1496577676626844588240573268701473812127674924007424) (+.f64 (+.f64 y x) z) (+.f64 x z))))) |
(if (<=.f64 y -8400000000000000503316480) (+.f64 x z) (if (<=.f64 y 7930553376671967/9671406556917033397649408) (+.f64 (+.f64 y x) z) (+.f64 x z))) |
(if (<=.f64 x -1726202078382731/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (+.f64 x z) (if (<=.f64 x -7238468646072529/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 z y) (+.f64 x z))) |
(+.f64 x z) |
z |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(if (<=.f64 z -1000) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 z 6779426540353309/713623846352979940529142984724747568191373312) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (*.f64 z (cos.f64 y))))) |
(if (or (<=.f64 z -1000) (not (<=.f64 z 6779426540353309/713623846352979940529142984724747568191373312))) (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 (+.f64 x (sin.f64 y)) z)) |
(if (<=.f64 y -14) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 y 7930553376671967/9671406556917033397649408) (+.f64 (+.f64 y x) z) (+.f64 x (*.f64 z (cos.f64 y))))) |
(if (or (<=.f64 y -14) (not (<=.f64 y 7930553376671967/9671406556917033397649408))) (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 z (+.f64 x y))) |
(if (<=.f64 x -8677200356483931/340282366920938463463374607431768211456) (+.f64 x z) (if (<=.f64 x -7012105641494901/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) (*.f64 (cos.f64 y) z) (if (<=.f64 x 6490371073168535/5192296858534827628530496329220096) (+.f64 (sin.f64 y) z) (+.f64 x z)))) |
(if (<=.f64 x -8677200356483931/340282366920938463463374607431768211456) (+.f64 x z) (if (<=.f64 x -7012105641494901/94758184344525691842589080106353915726128296943157752144717531617800961467674370503593652882607817257720198406807316479868870852301929589321550737002025216015896910157522577243058183937475491017166931103132108688408987234729984) (*.f64 z (cos.f64 y)) (if (<=.f64 x 6490371073168535/5192296858534827628530496329220096) (+.f64 (sin.f64 y) z) (+.f64 x z)))) |
(if (<=.f64 z -330000000000000024952732538400507478228550868162350072227167630142754316818157195946215462560828680869997079378373219023233946332431700766461218127039857261284433740454764216320) (*.f64 (cos.f64 y) z) (if (<=.f64 z 290000000000000011456019420231672821846259659108058969483161431441408) (+.f64 x z) (*.f64 (cos.f64 y) z))) |
(if (or (<=.f64 z -330000000000000024952732538400507478228550868162350072227167630142754316818157195946215462560828680869997079378373219023233946332431700766461218127039857261284433740454764216320) (not (<=.f64 z 290000000000000011456019420231672821846259659108058969483161431441408))) (*.f64 z (cos.f64 y)) (+.f64 x z)) |
(if (<=.f64 x -5284220811241125/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (+.f64 x z) (if (<=.f64 x 357986298980937/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (+.f64 (+.f64 y x) z) (if (<=.f64 x 7325475661932327/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (sin.f64 y) (if (<=.f64 x 4190417494555165/1496577676626844588240573268701473812127674924007424) (+.f64 (+.f64 y x) z) (+.f64 x z))))) |
(if (<=.f64 x -5284220811241125/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (+.f64 x z) (if (<=.f64 x 357986298980937/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (+.f64 z (+.f64 x y)) (if (<=.f64 x 7325475661932327/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192) (sin.f64 y) (if (<=.f64 x 4190417494555165/1496577676626844588240573268701473812127674924007424) (+.f64 z (+.f64 x y)) (+.f64 x z))))) |
(if (<=.f64 y -8400000000000000503316480) (+.f64 x z) (if (<=.f64 y 7930553376671967/9671406556917033397649408) (+.f64 (+.f64 y x) z) (+.f64 x z))) |
(if (<=.f64 y -8400000000000000503316480) (+.f64 x z) (if (<=.f64 y 7930553376671967/9671406556917033397649408) (+.f64 z (+.f64 x y)) (+.f64 x z))) |
(if (<=.f64 x -1726202078382731/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (+.f64 x z) (if (<=.f64 x -7238468646072529/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 z y) (+.f64 x z))) |
(if (<=.f64 x -1726202078382731/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (+.f64 x z) (if (<=.f64 x -7238468646072529/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 y z) (+.f64 x z))) |
(+.f64 x z) |
z |
Compiled 196 to 118 computations (39.8% saved)
Compiled 169 to 69 computations (59.2% saved)
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