Time bar (total: 9.2s)
| 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)
| 1.3s | 2027× | body | 1024 | valid |
| 1.1s | 5212× | body | 256 | valid |
| 335.0ms | 1012× | body | 512 | valid |
| 4.0ms | 5× | body | 2048 | valid |
| 2× | egg-herbie |
| 32× | fma-def |
| 16× | *-commutative |
| 8× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 92 |
| 1 | 41 | 92 |
| 2 | 53 | 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 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x))) |
(fma.f64 y (sin.f64 x) (*.f64 z (cos.f64 x))) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z))) |
(fma.f64 x (sin.f64 z) (*.f64 y (cos.f64 z))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 8× | fma-def |
| 4× | *-commutative |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 16 | 23 |
| 2 | 19 | 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 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
Compiled 20 to 9 computations (55% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.21% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (sin.f64 y) |
| ✓ | 0.01% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | 0.22% | (*.f64 x (sin.f64 y)) |
| ✓ | 0.23% | (*.f64 z (cos.f64 y)) |
Compiled 27 to 8 computations (70.4% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 z (cos.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 x (sin.f64 y)) |
| 1.0ms | x | @ | 0 | (*.f64 x (sin.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 z (cos.f64 y)) |
| 0.0ms | z | @ | inf | (*.f64 z (cos.f64 y)) |
| 1× | batch-egg-rewrite |
| 1082× | *-commutative |
| 920× | unswap-sqr |
| 660× | swap-sqr |
| 474× | distribute-lft-in |
| 468× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 226 | 50 |
| 2 | 2919 | 50 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (cos.f64 y)) |
(*.f64 x (sin.f64 y)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(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 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 log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 3) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 3))) (+.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))) 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((#(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 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))))))) |
| 1× | egg-herbie |
| 766× | distribute-lft-neg-in |
| 744× | associate-+r+ |
| 736× | distribute-rgt-neg-in |
| 682× | +-commutative |
| 656× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 373 | 8367 |
| 1 | 985 | 7833 |
| 2 | 4675 | 7813 |
| 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 (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 (sin.f64 y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) 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 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
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))))) |
(-.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)))) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1) |
(pow.f64 (*.f64 x (sin.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) |
(exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y))))) 1) |
(-.f64 (+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) |
(*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1) |
(*.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(*.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 3) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 3))) (+.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/6)) |
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (/.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (/.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (*.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3)) (*.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))) (+.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) 1) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3)) (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) (+.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))) (-.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2)) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 1 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(fma.f64 1 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (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))) (*.f64 x (sin.f64 y))) |
(-.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)) |
(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))) |
| 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 (*.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)) |
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(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3)) (*.f64 (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 (sin.f64 y) x) 6)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))) (-.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x)))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/3) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2)) |
(fabs.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 1 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 1 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(-.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)) |
(sin.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y))) |
(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)))) |
(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 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (*.f64 (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 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))) |
(*.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))))) |
(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 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (*.f64 (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 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (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)) |
(sin.f64 y) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)) |
(sin.f64 y) |
(pow.f64 (sin.f64 y) 1) |
(sin.f64 y) |
(pow.f64 (sqrt.f64 (sin.f64 y)) 2) |
(sin.f64 y) |
(pow.f64 (cbrt.f64 (sin.f64 y)) 3) |
(sin.f64 y) |
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) |
(sin.f64 y) |
(sqrt.f64 (pow.f64 (sin.f64 y) 2)) |
(fabs.f64 (sin.f64 y)) |
(log.f64 (exp.f64 (sin.f64 y))) |
(sin.f64 y) |
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y)))) |
(sin.f64 y) |
(cbrt.f64 (pow.f64 (sin.f64 y) 3)) |
(sin.f64 y) |
(expm1.f64 (log1p.f64 (sin.f64 y))) |
(sin.f64 y) |
(exp.f64 (log.f64 (sin.f64 y))) |
(sin.f64 y) |
(log1p.f64 (expm1.f64 (sin.f64 y))) |
(sin.f64 y) |
Compiled 6078 to 1947 computations (68% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 21 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 202 | 22 | 224 |
| Status | Error | Program |
|---|---|---|
| 1.34% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y))) | |
| ▶ | 0.2% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 49.27% | (fma.f64 y x z) | |
| ▶ | 89.38% | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
| 47.39% | (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 65.53% | (/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) | |
| 84.21% | (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) | |
| ▶ | 0.3% | (/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
| 42.45% | (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y))) | |
| 35.47% | (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) | |
| ▶ | 49.27% | (+.f64 (*.f64 y x) z) |
| 54.95% | (+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) | |
| ▶ | 1.31% | (+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) |
| ✓ | 0.21% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 44.34% | (+.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) | |
| 25.44% | (+.f64 (*.f64 x (sin.f64 y)) z) | |
| 0.27% | (+.f64 (*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y))) | |
| 13.59% | (+.f64 (*.f64 x (log.f64 (exp.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y))) | |
| 8.07% | (+.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 3))) (*.f64 z (cos.f64 y))) | |
| 51.56% | (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z)) | |
| 52.65% | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))) | |
| 47.98% | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
Compiled 932 to 526 computations (43.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (sin.f64 y) | |
| ✓ | 0.12% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| ✓ | 0.22% | (*.f64 (sin.f64 y) x) |
Compiled 22 to 7 computations (68.2% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | -inf | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 0.0ms | z | @ | inf | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 0.0ms | y | @ | -inf | (*.f64 (sin.f64 y) x) |
| 0.0ms | y | @ | 0 | (*.f64 (sin.f64 y) x) |
| 0.0ms | y | @ | -inf | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 1× | batch-egg-rewrite |
| 936× | *-commutative |
| 908× | cbrt-prod |
| 826× | sqrt-prod |
| 730× | unswap-sqr |
| 564× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 1 | 213 | 34 |
| 2 | 2507 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 y) x) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
((#(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 (*.f64 (sin.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))) (#(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 +.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (-.f64 1 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/2)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) 1) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))))) |
| 1× | egg-herbie |
| 1350× | fma-def |
| 772× | +-commutative |
| 754× | times-frac |
| 712× | associate-+r- |
| 704× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 3754 |
| 1 | 522 | 3676 |
| 2 | 2351 | 3570 |
| 3 | 7683 | 3570 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1) |
(/.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 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)))) |
(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) 2) 1/2) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)) |
(fabs.f64 (*.f64 (sin.f64 y) x)) |
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) |
(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))) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) -1) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (-.f64 1 (*.f64 (cos.f64 y) z))) |
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1) |
(*.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/2))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/2)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/4)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/6)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/6) 3)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3)) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3)) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) 1) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 3) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2) 1/2) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2)) |
(fabs.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
| Outputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))) |
(fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))) |
(*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))) |
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))) |
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))) |
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7)))))) |
(*.f64 x (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 -1/6 (pow.f64 y 3))) (fma.f64 1/120 (pow.f64 y 5) y))) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 y x z)) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x z)) |
(fma.f64 y x (fma.f64 z (*.f64 -1/2 (*.f64 y y)) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z))) |
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) (fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (sin.f64 y) (*.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (sin.f64 y) (*.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 x (*.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (sin.f64 y) (*.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 x (*.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) 1) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (sin.f64 y) (*.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 x (*.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))) (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))))) |
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(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (pow.f64 (exp.f64 2) (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 x (*.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 3) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2) 1/2) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3) 1/3) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fabs.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (+.f64 (*.f64 y x) z) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (+.f64 (*.f64 y x) z) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 y x) z) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 y x) z) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 y x) z) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 y x) z) |
| 1× | batch-egg-rewrite |
| 1644× | add-sqr-sqrt |
| 1628× | *-un-lft-identity |
| 1516× | add-cube-cbrt |
| 1500× | add-cbrt-cube |
| 160× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 150 | 9 |
| 2 | 2000 | 9 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x z)) (pow.f64 (cbrt.f64 (fma.f64 y x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x z)) 2) (cbrt.f64 (fma.f64 y x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y x) z) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 y x) 2)) (-.f64 z (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y x z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) z))))) |
| 1× | egg-herbie |
| 1370× | associate-*r* |
| 1226× | associate-*l* |
| 770× | associate-+r+ |
| 664× | distribute-lft-neg-in |
| 622× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 916 |
| 1 | 220 | 866 |
| 2 | 832 | 866 |
| 3 | 4911 | 866 |
| 1× | node limit |
| Inputs |
|---|
z |
(*.f64 y x) |
(*.f64 y x) |
z |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
z |
z |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x z))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))) |
(*.f64 (fma.f64 y x z) 1) |
(*.f64 1 (fma.f64 y x z)) |
(*.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z))) |
(*.f64 (cbrt.f64 (fma.f64 y x z)) (pow.f64 (cbrt.f64 (fma.f64 y x z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x z)) 2) (cbrt.f64 (fma.f64 y x z))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 y x) z))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 y x) z) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x z))))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 y x) 2)) (-.f64 z (*.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 y x) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(pow.f64 (fma.f64 y x z) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y x z)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y x z)) 3) |
(pow.f64 (pow.f64 (fma.f64 y x z) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 y x z) 2)) |
(log.f64 (exp.f64 (fma.f64 y x z))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x z)))) |
(cbrt.f64 (pow.f64 (fma.f64 y x z) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y x z))) |
(exp.f64 (log.f64 (fma.f64 y x z))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y x z)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 y x z))) |
(fma.f64 y x z) |
(fma.f64 x y z) |
(fma.f64 1 (*.f64 y x) z) |
(fma.f64 1 z (*.f64 y x)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y x)) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) z) |
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) z) |
| Outputs |
|---|
z |
(*.f64 y x) |
(*.f64 y x) |
z |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
z |
z |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x z))) 1) |
(fma.f64 y x z) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 y x (neg.f64 z))) |
(*.f64 (fma.f64 y x z) 1) |
(fma.f64 y x z) |
(*.f64 1 (fma.f64 y x z)) |
(fma.f64 y x z) |
(*.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z))) |
(fma.f64 y x z) |
(*.f64 (cbrt.f64 (fma.f64 y x z)) (pow.f64 (cbrt.f64 (fma.f64 y x z)) 2)) |
(fma.f64 y x z) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x z)) 2) (cbrt.f64 (fma.f64 y x z))) |
(fma.f64 y x z) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 y x (neg.f64 z))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)) (*.f64 z z))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 y x) z) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 y x (neg.f64 z))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)) (*.f64 z z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 y x (neg.f64 z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)) (*.f64 z z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x z))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)) (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 y x) 2)) (-.f64 z (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 y x (neg.f64 z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 y x (neg.f64 z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)) (*.f64 z z))) |
(pow.f64 (fma.f64 y x z) 1) |
(fma.f64 y x z) |
(pow.f64 (sqrt.f64 (fma.f64 y x z)) 2) |
(fma.f64 y x z) |
(pow.f64 (cbrt.f64 (fma.f64 y x z)) 3) |
(fma.f64 y x z) |
(pow.f64 (pow.f64 (fma.f64 y x z) 3) 1/3) |
(fma.f64 y x z) |
(sqrt.f64 (pow.f64 (fma.f64 y x z) 2)) |
(fma.f64 y x z) |
(log.f64 (exp.f64 (fma.f64 y x z))) |
(fma.f64 y x z) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x z)))) |
(fma.f64 y x z) |
(cbrt.f64 (pow.f64 (fma.f64 y x z) 3)) |
(fma.f64 y x z) |
(expm1.f64 (log1p.f64 (fma.f64 y x z))) |
(fma.f64 y x z) |
(exp.f64 (log.f64 (fma.f64 y x z))) |
(fma.f64 y x z) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y x z)) 1)) |
(fma.f64 y x z) |
(log1p.f64 (expm1.f64 (fma.f64 y x z))) |
(fma.f64 y x z) |
(fma.f64 y x z) |
(fma.f64 x y z) |
(fma.f64 y x z) |
(fma.f64 1 (*.f64 y x) z) |
(fma.f64 y x z) |
(fma.f64 1 z (*.f64 y x)) |
(fma.f64 y x z) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y x)) |
(fma.f64 y x z) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) z) |
(fma.f64 y x z) |
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 y x)) |
(fma.f64 y x (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) z) |
(fma.f64 y x z) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.12% | (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
| 0.22% | (*.f64 x (sin.f64 y)) | |
| ✓ | 0.29% | (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
| ✓ | 0.31% | (/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
Compiled 45 to 14 computations (68.9% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
| 0.0ms | y | @ | inf | (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
| 0.0ms | y | @ | -inf | (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
| 0.0ms | y | @ | 0 | (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
| 0.0ms | z | @ | inf | (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
| 1× | batch-egg-rewrite |
| 1082× | *-commutative |
| 862× | unswap-sqr |
| 636× | swap-sqr |
| 474× | sqr-pow |
| 464× | pow-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 75 |
| 1 | 279 | 75 |
| 2 | 3052 | 75 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))) |
| 1× | egg-herbie |
| 1378× | distribute-rgt-in |
| 1374× | distribute-lft-in |
| 554× | associate-*r* |
| 530× | associate-/l* |
| 502× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 413 | 12983 |
| 1 | 1144 | 12143 |
| 2 | 5039 | 12143 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(*.f64 z (cos.f64 y)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(/.f64 1 (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sin.f64 y) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))))))) |
(/.f64 1 (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (/.f64 1 (*.f64 (cos.f64 y) z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))) |
(/.f64 1 (*.f64 z (cos.f64 y))) |
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z |
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(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 -1 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -1) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -1))) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) -1) (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) -1))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) -1) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1)) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1)) |
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1)) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 1) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))) |
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 -1 (/.f64 -1 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)) |
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1) |
(pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/3) |
(neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2)) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
| Outputs |
|---|
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 y x z)) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(/.f64 1 (*.f64 (sin.f64 y) x)) |
(/.f64 (/.f64 1 (sin.f64 y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sin.f64 y) x))) |
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)) (/.f64 z (*.f64 x x))) (/.f64 1 (*.f64 (sin.f64 y) x))) |
(-.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) |
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)) (/.f64 z (*.f64 x x))) (/.f64 1 (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 z z) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (cos.f64 y) 2)))) |
(-.f64 (+.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 3))) (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))))))) |
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)) (/.f64 z (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) (/.f64 (*.f64 z z) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (cos.f64 y) 2)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)))))) |
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(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) -2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z)))) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/3) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2)) |
(fabs.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.22% | (*.f64 x (sin.f64 y)) | |
| 0.23% | (*.f64 z (cos.f64 y)) | |
| ✓ | 0.91% | (cbrt.f64 (*.f64 z (cos.f64 y))) |
| ✓ | 1.12% | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
Compiled 43 to 14 computations (67.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (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) |
| 1.0ms | z | @ | 0 | (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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.38% | (pow.f64 (*.f64 (sin.f64 y) x) 2) |
| ✓ | 2.96% | (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
| ✓ | 10.62% | (sqrt.f64 (*.f64 (sin.f64 y) x)) |
| ✓ | 11.78% | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
Compiled 136 to 28 computations (79.4% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
| 7.0ms | z | @ | -inf | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
| 7.0ms | y | @ | 0 | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
| 7.0ms | x | @ | 0 | (sqrt.f64 (*.f64 (sin.f64 y) x)) |
| 5.0ms | x | @ | inf | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
| 1× | batch-egg-rewrite |
| 740× | associate-+l+ |
| 470× | add-sqr-sqrt |
| 462× | *-un-lft-identity |
| 458× | pow1 |
| 434× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 190 |
| 1 | 451 | 142 |
| 2 | 6791 | 142 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 x (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.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 (pow.f64 (*.f64 (sin.f64 y) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2) (sqrt.f64 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))))) |
| 1× | egg-herbie |
| 1310× | associate-+l+ |
| 1198× | associate-+r+ |
| 834× | +-commutative |
| 696× | fma-def |
| 616× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 14537 |
| 1 | 1089 | 13025 |
| 2 | 5906 | 12893 |
| 1× | node limit |
| Inputs |
|---|
z |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sin.f64 y) x) |
(*.f64 -1 (pow.f64 z 2)) |
(+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 z 2))) (pow.f64 y 2)) (*.f64 -1 (pow.f64 z 2))) |
(+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 z 2))) (pow.f64 y 2)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))))) (*.f64 -1 (pow.f64 z 2)))) |
(+.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 z 2))) (pow.f64 y 2)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))))) (+.f64 (*.f64 (pow.f64 y 6) (-.f64 (+.f64 (*.f64 1/36 (pow.f64 x 2)) (*.f64 1/60 (pow.f64 x 2))) (+.f64 (*.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/24 (pow.f64 z 2))))) (*.f64 -1 (pow.f64 z 2))))) |
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) |
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) |
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) |
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) |
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) |
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) |
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) |
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) |
(*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) (pow.f64 x 2))) (*.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 x 2)) (*.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2520 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 2))) (pow.f64 y 8)) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 x 2)) (*.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) 1) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) 1) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) 2)) |
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(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4)) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (*.f64 (cos.f64 y) z)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (*.f64 (cos.f64 y) z)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (*.f64 (cos.f64 y) z)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4)) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (*.f64 (cos.f64 y) z)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4)) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (*.f64 (cos.f64 y) z)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4)) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 2)) |
(+.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (fma.f64 (neg.f64 (*.f64 (cos.f64 y) z)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (fma.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4)) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) (pow.f64 (*.f64 (sin.f64 y) x) 2)) |
(+.f64 (fma.f64 (neg.f64 (*.f64 (cos.f64 y) z)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4)) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(+.f64 (fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) |
(*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4) (pow.f64 (*.f64 (cos.f64 y) z) 4)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 (cos.f64 y) z) 6)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) 2) (pow.f64 (*.f64 (sin.f64 y) x) 4))))) |
(*.f64 (+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4) (pow.f64 (*.f64 (cos.f64 y) z) 4)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) 2) (pow.f64 (*.f64 (sin.f64 y) x) 4))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 (cos.f64 y) z) 6)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4) (pow.f64 (*.f64 (cos.f64 y) z) 4)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 (cos.f64 y) z) 6)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) 2) (pow.f64 (*.f64 (sin.f64 y) x) 4)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4) (pow.f64 (*.f64 (cos.f64 y) z) 4))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 (cos.f64 y) z) 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 4) (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) 2) (pow.f64 (*.f64 (sin.f64 y) x) 4))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4) (*.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6) (pow.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)))))) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) 3) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 2)) |
(log.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(fma.f64 (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(fma.f64 1 (pow.f64 (*.f64 (sin.f64 y) x) 2) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(fma.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))) 1) |
(*.f64 (sin.f64 y) (*.f64 x (*.f64 (sin.f64 y) x))) |
(*.f64 x (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x))) |
(*.f64 (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x)) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) 1) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 3/2)) |
(*.f64 1 (pow.f64 (*.f64 (sin.f64 y) x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) x))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) |
(*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)) x) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4)) |
(log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(exp.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 y) x)))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 y) x))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
| Outputs |
|---|
z |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))) (+.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))) (+.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))) (+.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))) (+.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))))) |
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(fma.f64 2 (*.f64 0 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
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(fma.f64 2 (*.f64 0 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
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(fma.f64 2 (*.f64 0 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
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(fma.f64 2 (*.f64 0 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
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(fma.f64 2 (*.f64 0 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
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(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 2 (*.f64 0 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) |
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(fma.f64 2 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4)) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
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(fma.f64 2 (*.f64 0 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
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(fma.f64 2 (*.f64 0 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
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(fma.f64 2 (*.f64 0 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
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(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 3)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) 1)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(fma.f64 (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(fma.f64 1 (pow.f64 (*.f64 (sin.f64 y) x) 2) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(fma.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))) 1) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(*.f64 (sin.f64 y) (*.f64 x (*.f64 (sin.f64 y) x))) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(*.f64 x (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x))) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(*.f64 (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x)) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) 1) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 3/2)) |
(*.f64 1 (pow.f64 (*.f64 (sin.f64 y) x) 2)) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) x))) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 3/2)) |
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)) x) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (sin.f64 y)) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) x))) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 4)) |
(log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(exp.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 y) x)))) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 y) x))) 1)) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(pow.f64 (*.f64 (sin.f64 y) x) 2) |
Compiled 26930 to 8942 computations (66.8% saved)
27 alts after pruning (23 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 898 | 16 | 914 |
| Fresh | 9 | 7 | 16 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 909 | 27 | 936 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 52% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2) | |
| ▶ | 51.99% | (/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2)) |
| 61.3% | (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x)) | |
| 37.73% | (/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y))) | |
| 47.07% | (/.f64 1 (/.f64 1 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))) | |
| 61.4% | (/.f64 1 (/.f64 1 z)) | |
| 64.27% | (/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z))))) | |
| 65.21% | (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3)))) | |
| 42.45% | (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y))) | |
| ✓ | 49.27% | (+.f64 (*.f64 y x) z) |
| ▶ | 54.95% | (+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) |
| ✓ | 1.31% | (+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) |
| 1.34% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))) | |
| 49.5% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) | |
| 26.72% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) | |
| ✓ | 0.21% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 44.34% | (+.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) | |
| ▶ | 25.44% | (+.f64 (*.f64 x (sin.f64 y)) z) |
| ▶ | 0.27% | (+.f64 (*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y))) |
| 13.59% | (+.f64 (*.f64 x (log.f64 (exp.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y))) | |
| 47.98% | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) | |
| 48.92% | (*.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) | |
| 61.18% | (*.f64 (sin.f64 y) x) | |
| 37.58% | (*.f64 (cos.f64 y) z) | |
| ▶ | 83.86% | (*.f64 y x) |
| 61.31% | z |
Compiled 772 to 502 computations (35% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.18% | (expm1.f64 (sin.f64 y)) |
| ✓ | 0.22% | (*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) |
| 0.23% | (*.f64 z (cos.f64 y)) | |
| ✓ | 0.25% | (log1p.f64 (expm1.f64 (sin.f64 y))) |
Compiled 38 to 10 computations (73.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (expm1.f64 (sin.f64 y)) |
| 0.0ms | y | @ | inf | (expm1.f64 (sin.f64 y)) |
| 0.0ms | y | @ | -inf | (expm1.f64 (sin.f64 y)) |
| 0.0ms | y | @ | 0 | (log1p.f64 (expm1.f64 (sin.f64 y))) |
| 0.0ms | y | @ | 0 | (*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) |
| 1× | batch-egg-rewrite |
| 1448× | add-sqr-sqrt |
| 1436× | *-un-lft-identity |
| 1324× | add-cube-cbrt |
| 1304× | add-cbrt-cube |
| 1288× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 172 | 25 |
| 2 | 1814 | 25 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (expm1.f64 (sin.f64 y))) |
(*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) |
(expm1.f64 (sin.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 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 cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(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 exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)))) (#(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 (pow.f64 (exp.f64 x) (sin.f64 y)))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (*.f64 (exp.f64 (sin.f64 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 976× | associate-/l* |
| 954× | unswap-sqr |
| 868× | fma-def |
| 756× | associate-/r* |
| 586× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1116 |
| 1 | 338 | 1088 |
| 2 | 1458 | 1058 |
| 3 | 5013 | 1058 |
| 1× | node limit |
| Inputs |
|---|
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) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(*.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 (sin.f64 y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) 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) |
y |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 1/2 (pow.f64 y 2)))) |
(+.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5))))) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(-.f64 (+.f64 1 (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))) |
(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))) |
(cbrt.f64 (pow.f64 (sin.f64 y) 3)) |
(sin.f64 y) |
(expm1.f64 (log1p.f64 (sin.f64 y))) |
(exp.f64 (log.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1)) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1) |
(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) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) |
(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))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x))) |
(+.f64 (exp.f64 (sin.f64 y)) -1) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(*.f64 (expm1.f64 (sin.f64 y)) 1) |
(*.f64 1 (expm1.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y)))) |
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (*.f64 (exp.f64 (sin.f64 y)) 1)))) |
(pow.f64 (expm1.f64 (sin.f64 y)) 1) |
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2) |
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3) |
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2)) |
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y)))) |
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3)) |
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y)))) |
| Outputs |
|---|
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) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(*.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 (sin.f64 y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))) |
(fma.f64 y x (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))) |
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)) |
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) x) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))) |
(fma.f64 1/120 (*.f64 (pow.f64 y 5) x) (fma.f64 y x (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))) |
(fma.f64 1/120 (*.f64 (pow.f64 y 5) x) (*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))) |
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(fma.f64 1/120 (*.f64 (pow.f64 y 5) x) (fma.f64 y x (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(+.f64 (*.f64 x (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 x (fma.f64 1/120 (pow.f64 y 5) y))) |
(*.f64 x (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)))) |
(*.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) |
y |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 y (*.f64 1/2 (*.f64 y y))) |
(fma.f64 1/2 (*.f64 y y) y) |
(fma.f64 y (*.f64 y 1/2) y) |
(+.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 1/2 (pow.f64 y 2)))) |
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (*.f64 1/2 (*.f64 y y)))) |
(+.f64 y (fma.f64 1/2 (*.f64 y y) (*.f64 -1/8 (pow.f64 y 4)))) |
(fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) y)) |
(+.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5))))) |
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 5) -1/15)))) |
(+.f64 y (fma.f64 y (*.f64 y 1/2) (fma.f64 (pow.f64 y 5) -1/15 (*.f64 -1/8 (pow.f64 y 4))))) |
(+.f64 y (fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) (*.f64 (pow.f64 y 5) -1/15)))) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(expm1.f64 (sin.f64 y)) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(expm1.f64 (sin.f64 y)) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(expm1.f64 (sin.f64 y)) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(expm1.f64 (sin.f64 y)) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(expm1.f64 (sin.f64 y)) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(expm1.f64 (sin.f64 y)) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(expm1.f64 (sin.f64 y)) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(expm1.f64 (sin.f64 y)) |
(-.f64 (+.f64 1 (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)) |
(sin.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y))) |
(sin.f64 y) |
(pow.f64 (sin.f64 y) 1) |
(sin.f64 y) |
(pow.f64 (sqrt.f64 (sin.f64 y)) 2) |
(sin.f64 y) |
(pow.f64 (cbrt.f64 (sin.f64 y)) 3) |
(sin.f64 y) |
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) |
(sin.f64 y) |
(sqrt.f64 (pow.f64 (sin.f64 y) 2)) |
(sin.f64 y) |
(log.f64 (exp.f64 (sin.f64 y))) |
(sin.f64 y) |
(cbrt.f64 (pow.f64 (sin.f64 y) 3)) |
(sin.f64 y) |
(sin.f64 y) |
(expm1.f64 (log1p.f64 (sin.f64 y))) |
(sin.f64 y) |
(exp.f64 (log.f64 (sin.f64 y))) |
(sin.f64 y) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1)) |
(sin.f64 y) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1) |
(*.f64 (sin.f64 y) x) |
(pow.f64 (*.f64 (sin.f64 y) x) 1) |
(*.f64 (sin.f64 y) x) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2) |
(*.f64 (sin.f64 y) x) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3) |
(*.f64 (sin.f64 y) x) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3) |
(*.f64 (sin.f64 y) x) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)) |
(*.f64 (sin.f64 y) x) |
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3)) |
(*.f64 (sin.f64 y) x) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (sin.f64 y) x) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (sin.f64 y) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1)) |
(*.f64 (sin.f64 y) x) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (sin.f64 y) x) |
(+.f64 (exp.f64 (sin.f64 y)) -1) |
(expm1.f64 (sin.f64 y)) |
(-.f64 (exp.f64 (sin.f64 y)) 1) |
(expm1.f64 (sin.f64 y)) |
(*.f64 (expm1.f64 (sin.f64 y)) 1) |
(expm1.f64 (sin.f64 y)) |
(*.f64 1 (expm1.f64 (sin.f64 y))) |
(expm1.f64 (sin.f64 y)) |
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y)))) |
(expm1.f64 (sin.f64 y)) |
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2)) |
(expm1.f64 (sin.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y)))) |
(expm1.f64 (sin.f64 y)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1)) |
(expm1.f64 (sin.f64 y)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (*.f64 (exp.f64 (sin.f64 y)) 1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) -1) (+.f64 (exp.f64 (+.f64 (sin.f64 y) (sin.f64 y))) (+.f64 (exp.f64 (sin.f64 y)) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 y)) 3)) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (exp.f64 (*.f64 (sin.f64 y) 2))))) |
(/.f64 (expm1.f64 (*.f64 3 (sin.f64 y))) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 y)) 2)))) |
(/.f64 (expm1.f64 (*.f64 3 (sin.f64 y))) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (pow.f64 (exp.f64 2) (sin.f64 y))))) |
(pow.f64 (expm1.f64 (sin.f64 y)) 1) |
(expm1.f64 (sin.f64 y)) |
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2) |
(expm1.f64 (sin.f64 y)) |
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3) |
(expm1.f64 (sin.f64 y)) |
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3) |
(expm1.f64 (sin.f64 y)) |
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2)) |
(expm1.f64 (sin.f64 y)) |
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y)))) |
(expm1.f64 (sin.f64 y)) |
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3)) |
(expm1.f64 (sin.f64 y)) |
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y)))) |
(expm1.f64 (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1)) |
(expm1.f64 (sin.f64 y)) |
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y)))) |
(expm1.f64 (sin.f64 y)) |
Compiled 8 to 4 computations (50% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (+.f64 (*.f64 x (sin.f64 y)) z) |
| 0.01% | (sin.f64 y) | |
| 0.22% | (*.f64 x (sin.f64 y)) |
Compiled 18 to 6 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x (sin.f64 y)) z) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 x (sin.f64 y)) z) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x (sin.f64 y)) z) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 x (sin.f64 y)) z) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 x (sin.f64 y)) z) |
| 1× | batch-egg-rewrite |
| 1988× | add-sqr-sqrt |
| 1972× | *-un-lft-identity |
| 1830× | add-cube-cbrt |
| 1810× | add-cbrt-cube |
| 198× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 187 | 13 |
| 2 | 2421 | 13 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) (sqrt.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (sin.f64 y) (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) (fma.f64 x (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 z (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z))) (neg.f64 (fma.f64 x (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (sin.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) z))))) |
| 1× | egg-herbie |
| 1506× | associate-*r* |
| 1134× | associate-/r* |
| 822× | associate-+r+ |
| 614× | associate-+l+ |
| 600× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1539 |
| 1 | 268 | 1481 |
| 2 | 956 | 1475 |
| 3 | 4256 | 1475 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
z |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
z |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (sin.f64 y) (neg.f64 z)))) |
(*.f64 (fma.f64 x (sin.f64 y) z) 1) |
(*.f64 1 (fma.f64 x (sin.f64 y) z)) |
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) (sqrt.f64 (fma.f64 x (sin.f64 y) z))) |
(*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (sin.f64 y) (neg.f64 z)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))))) |
(/.f64 1 (/.f64 (fma.f64 x (sin.f64 y) (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) (fma.f64 x (sin.f64 y) (neg.f64 z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 x z))))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 z (*.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z))) (neg.f64 (fma.f64 x (sin.f64 y) (neg.f64 z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))))) |
(pow.f64 (fma.f64 x (sin.f64 y) z) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 3) |
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) |
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) z))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) z)))) |
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) |
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) z))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) z)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) z))) |
(fma.f64 x (sin.f64 y) z) |
(fma.f64 (sin.f64 y) x z) |
(fma.f64 1 (*.f64 x (sin.f64 y)) z) |
(fma.f64 1 z (*.f64 x (sin.f64 y))) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (sin.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) z) |
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) z) |
| Outputs |
|---|
z |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(*.f64 (sin.f64 y) x) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(*.f64 (sin.f64 y) x) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))) |
(+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))) |
(fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)) |
(fma.f64 y x (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z)) |
(fma.f64 (pow.f64 y 3) (*.f64 x -1/6) (fma.f64 y x z)) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) |
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))) |
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z))) |
(fma.f64 x (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z)) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(*.f64 (sin.f64 y) x) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
z |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
z |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(+.f64 z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x z) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) 1) |
(fma.f64 (sin.f64 y) x z) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (sin.f64 y) (neg.f64 z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (fma.f64 x (sin.f64 y) (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) z)) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x))) |
(*.f64 (fma.f64 x (sin.f64 y) z) 1) |
(fma.f64 (sin.f64 y) x z) |
(*.f64 1 (fma.f64 x (sin.f64 y) z)) |
(fma.f64 (sin.f64 y) x z) |
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) (sqrt.f64 (fma.f64 x (sin.f64 y) z))) |
(fma.f64 (sin.f64 y) x z) |
(*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2)) |
(fma.f64 (sin.f64 y) x z) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z))) |
(fma.f64 (sin.f64 y) x z) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (sin.f64 y) (neg.f64 z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (fma.f64 x (sin.f64 y) (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) z)) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (-.f64 z (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z)))) |
(/.f64 1 (/.f64 (fma.f64 x (sin.f64 y) (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (fma.f64 x (sin.f64 y) (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) z)) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (-.f64 z (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) (fma.f64 x (sin.f64 y) (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (fma.f64 x (sin.f64 y) (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) z)) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (-.f64 z (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 x z))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (-.f64 z (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z)))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 z (*.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (fma.f64 x (sin.f64 y) (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) z)) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z))) (neg.f64 (fma.f64 x (sin.f64 y) (neg.f64 z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (fma.f64 x (sin.f64 y) (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) z)) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (-.f64 z (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z)))) |
(pow.f64 (fma.f64 x (sin.f64 y) z) 1) |
(fma.f64 (sin.f64 y) x z) |
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2) |
(fma.f64 (sin.f64 y) x z) |
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 3) |
(fma.f64 (sin.f64 y) x z) |
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3) 1/3) |
(fma.f64 (sin.f64 y) x z) |
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) |
(fma.f64 (sin.f64 y) x z) |
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) z))) |
(fma.f64 (sin.f64 y) x z) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) z)))) |
(fma.f64 (sin.f64 y) x z) |
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)) |
(fma.f64 (sin.f64 y) x z) |
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) |
(fma.f64 (sin.f64 y) x z) |
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) z))) |
(fma.f64 (sin.f64 y) x z) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) z)) 1)) |
(fma.f64 (sin.f64 y) x z) |
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) z))) |
(fma.f64 (sin.f64 y) x z) |
(fma.f64 x (sin.f64 y) z) |
(fma.f64 (sin.f64 y) x z) |
(fma.f64 (sin.f64 y) x z) |
(fma.f64 1 (*.f64 x (sin.f64 y)) z) |
(fma.f64 (sin.f64 y) x z) |
(fma.f64 1 z (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) x z) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) x z) |
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) z) |
(fma.f64 (sin.f64 y) x z) |
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) x z) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) z) |
(fma.f64 (sin.f64 y) x z) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.02% | (sqrt.f64 (*.f64 z (cos.f64 y))) |
| 0.22% | (*.f64 x (sin.f64 y)) | |
| 0.23% | (*.f64 z (cos.f64 y)) | |
| ✓ | 0.32% | (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
Compiled 43 to 14 computations (67.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
| 1.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
| 1.0ms | z | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
| 0.0ms | z | @ | inf | (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
| 0.0ms | z | @ | -inf | (sqrt.f64 (*.f64 z (cos.f64 y))) |
| 1× | batch-egg-rewrite |
| 1592× | add-sqr-sqrt |
| 1574× | *-un-lft-identity |
| 1458× | add-cube-cbrt |
| 1440× | add-cbrt-cube |
| 1424× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 200 | 26 |
| 2 | 2036 | 26 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(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)) 1/4) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.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 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.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))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(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 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))))) (#(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 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.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 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 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (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 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))))) |
| 1× | egg-herbie |
| 1808× | distribute-lft-in |
| 1794× | distribute-rgt-in |
| 838× | fma-def |
| 816× | unswap-sqr |
| 608× | *-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 1729 |
| 1 | 364 | 1535 |
| 2 | 1296 | 1345 |
| 3 | 4014 | 1331 |
| 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 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) 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)) |
(sqrt.f64 z) |
(+.f64 (sqrt.f64 z) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (*.f64 -1/4 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))))) |
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 z (cos.f64 y)) 1) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 1 (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(*.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 z) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.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))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(*.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 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) |
(*.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 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.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 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1) |
(*.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2)) |
(pow.f64 (*.f64 z (cos.f64 y)) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
| Outputs |
|---|
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 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) z)) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) z)) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (*.f64 z 1/16)) z)) |
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) z))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) z))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (*.f64 z 1/16)) z))) |
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) 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)) |
(sqrt.f64 z) |
(+.f64 (sqrt.f64 z) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))) |
(+.f64 (sqrt.f64 z) (*.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 z)))) |
(*.f64 (+.f64 (*.f64 (*.f64 -1/4 y) y) 1) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)) |
(+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))))) |
(+.f64 (sqrt.f64 z) (fma.f64 1/2 (*.f64 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (*.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 z))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 -1/4 y) y) 1) (sqrt.f64 z)) (*.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (*.f64 1/2 (pow.f64 y 4)) (-.f64 (*.f64 z 1/24) (*.f64 z 1/16))))) |
(fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/48) (*.f64 (pow.f64 y 4) 1/2)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1))) |
(fma.f64 (fma.f64 (*.f64 y y) -1/4 1) (sqrt.f64 z) (*.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (pow.f64 y 4) (*.f64 1/2 (*.f64 z -1/48))))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (*.f64 -1/4 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))))) |
(fma.f64 1/2 (*.f64 (pow.f64 y 6) (*.f64 (+.f64 (*.f64 z -1/720) (*.f64 1/4 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (fma.f64 1/2 (*.f64 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (*.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 z)))))) |
(+.f64 (fma.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (*.f64 1/2 (pow.f64 y 4)) (-.f64 (*.f64 z 1/24) (*.f64 z 1/16))))) (fma.f64 1/2 (*.f64 (fma.f64 z -1/720 (*.f64 (-.f64 (*.f64 z 1/24) (*.f64 z 1/16)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))) |
(fma.f64 1/2 (*.f64 (pow.f64 y 6) (*.f64 (sqrt.f64 (/.f64 1 z)) (fma.f64 (*.f64 z -1/48) 1/4 (*.f64 z -1/720)))) (fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/48) (*.f64 (pow.f64 y 4) 1/2)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)))) |
(+.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 z))) (+.f64 (*.f64 (pow.f64 y 6) (fma.f64 -1/4 (*.f64 z 1/48) (*.f64 z -1/720))) (*.f64 (pow.f64 y 4) (*.f64 z -1/48))))) |
(-.f64 (+.f64 1 (*.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 (*.f64 z (cos.f64 y)) 1) |
(*.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 1 (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(*.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 z) (*.f64 (sqrt.f64 z) (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (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 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 4)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) |
(*.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 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 4)) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 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 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 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(pow.f64 (*.f64 z (cos.f64 y)) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2)) |
(fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/2)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)) |
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0) |
(sqrt.f64 (*.f64 z (cos.f64 y))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.12% | (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) | |
| ✓ | 0.16% | (/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2)) |
| 0.22% | (*.f64 x (sin.f64 y)) | |
| ✓ | 0.38% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2) |
Compiled 61 to 22 computations (63.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | y | @ | inf | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2) |
| 15.0ms | y | @ | -inf | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2) |
| 3.0ms | z | @ | -inf | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2) |
| 3.0ms | x | @ | -inf | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2) |
| 2.0ms | x | @ | inf | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2) |
| 1× | batch-egg-rewrite |
| 1104× | unswap-sqr |
| 812× | swap-sqr |
| 568× | sqr-pow |
| 362× | distribute-rgt-in |
| 340× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 64 |
| 1 | 347 | 52 |
| 2 | 3929 | 52 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2) |
(/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1316× | times-frac |
| 1178× | associate-*r* |
| 998× | associate-/r* |
| 928× | associate-/l* |
| 818× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 616 | 15849 |
| 1 | 1915 | 14775 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sin.f64 y) x))) |
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(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) (/.f64 -1 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))) |
(/.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 1) |
(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4) (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4))) |
(/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4) (/.f64 1 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))) |
(/.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) |
(/.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))) |
(/.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) (/.f64 -1 (neg.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)) (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(/.f64 -1 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1)) |
(/.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1) |
(/.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 -1 (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2))) (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2))) (/.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)))) (/.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2))))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4)) (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)) (/.f64 -1 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2))) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2))) (/.f64 -1 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(/.f64 (pow.f64 1 -1/2) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) -1/2) (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1/2))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) -1) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) 1) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 1) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (sqrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4) -2)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4) -2)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) -2)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)) -2)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) -1)) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) -1)) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) 1) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(neg.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) 1)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 1 (*.f64 (*.f64 z (cos.f64 y)) 1)) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) 1) (*.f64 x (sin.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y)))) |
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y))))) 1) |
(-.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y))))) 1) |
(*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1) |
(*.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 -1 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1)) |
(*.f64 (*.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1) -1) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4) -2) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/4) -2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) -2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2)) -2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) -1)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/6)) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2) |
(pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) -1) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2)) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) -1)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
| Outputs |
|---|
(/.f64 1 (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sin.f64 y) x))) |
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)) (/.f64 z (*.f64 x x))) (/.f64 1 (*.f64 (sin.f64 y) x))) |
(-.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) (/.f64 (cos.f64 y) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) z))) |
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(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 1)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
Compiled 22272 to 10181 computations (54.3% saved)
29 alts after pruning (21 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 775 | 5 | 780 |
| Fresh | 2 | 16 | 18 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 778 | 29 | 807 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 52% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2) | |
| 52.32% | (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/4) -4) | |
| ✓ | 51.99% | (/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2)) |
| 61.3% | (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x)) | |
| 37.73% | (/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y))) | |
| 47.07% | (/.f64 1 (/.f64 1 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))) | |
| ▶ | 61.4% | (/.f64 1 (/.f64 1 z)) |
| 64.27% | (/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z))))) | |
| 62.3% | (/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z)))) | |
| ▶ | 55.95% | (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z) |
| 72.32% | (+.f64 (*.f64 y x) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) | |
| ✓ | 49.27% | (+.f64 (*.f64 y x) z) |
| ✓ | 54.95% | (+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) |
| ✓ | 1.31% | (+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) |
| ▶ | 1.34% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))) |
| ▶ | 49.5% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
| 26.72% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) | |
| ✓ | 0.21% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 44.34% | (+.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) | |
| ✓ | 25.44% | (+.f64 (*.f64 x (sin.f64 y)) z) |
| 25.5% | (+.f64 (*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) z) | |
| 13.59% | (+.f64 (*.f64 x (log.f64 (exp.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y))) | |
| 47.98% | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) | |
| 48.92% | (*.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) | |
| ▶ | 61.18% | (*.f64 (sin.f64 y) x) |
| 37.58% | (*.f64 (cos.f64 y) z) | |
| ✓ | 83.86% | (*.f64 y x) |
| 61.31% | z |
Compiled 767 to 496 computations (35.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.23% | (*.f64 z (cos.f64 y)) | |
| ✓ | 0.5% | (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
| ✓ | 0.76% | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
| 0.91% | (cbrt.f64 (*.f64 z (cos.f64 y))) |
Compiled 62 to 18 computations (71% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 56.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
| 2.0ms | z | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
| 0.0ms | z | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
| 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 |
| 1724× | add-sqr-sqrt |
| 1698× | *-un-lft-identity |
| 1582× | add-cube-cbrt |
| 1560× | add-cbrt-cube |
| 188× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 221 | 32 |
| 2 | 2295 | 32 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
| Outputs |
|---|
((#(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 (*.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 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(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 (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 z) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(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 *.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 z)) (cbrt.f64 (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 (*.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 (cbrt.f64 (*.f64 z (cos.f64 y))) 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 (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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))))))) |
| 1× | egg-herbie |
| 764× | fma-def |
| 692× | +-commutative |
| 552× | unswap-sqr |
| 524× | *-commutative |
| 458× | associate--r+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1757 |
| 1 | 354 | 1599 |
| 2 | 1172 | 1541 |
| 3 | 3670 | 1539 |
| 4 | 6294 | 1539 |
| 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) |
(*.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 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1) |
(*.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 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) |
(*.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 z) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(*.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))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 z)) (cbrt.f64 (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 (*.f64 z (cos.f64 y)))) 1) |
(pow.f64 (*.f64 z (cos.f64 y)) 1) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
(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)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)) |
(log1p.f64 (expm1.f64 (*.f64 z (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 (cbrt.f64 (*.f64 z z)) 1/36 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 2/3 (*.f64 z -1/24)))) (*.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 z z)) 1/36 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 2/3 (*.f64 z -1/24)))) (*.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y y))) (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 (cbrt.f64 (/.f64 1 z)) (*.f64 z -1/24)) -1/9)) (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 (cbrt.f64 (*.f64 z z)) 1/36 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 2/3 (*.f64 z -1/24)))) (*.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 z z)) 1/36 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 2/3 (*.f64 z -1/24)))) (*.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y y))) (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 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.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 (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)) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) |
(fma.f64 (*.f64 y y) (*.f64 z -1/2) z) |
(fma.f64 z (*.f64 (*.f64 y 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 z (*.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)) |
(*.f64 z (+.f64 (*.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/24 1))) |
(*.f64 z (+.f64 (*.f64 (*.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) 1/24 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 (fma.f64 (pow.f64 y 4) 1/24 1) z (*.f64 z (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720)))) |
(*.f64 z (+.f64 (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720)) (fma.f64 (pow.f64 y 4) 1/24 1))) |
(*.f64 z (+.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720)))) |
(*.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 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (sqrt.f64 (*.f64 z (cos.f64 y)))) |
(*.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 (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))))) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(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 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 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(*.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))))) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (cbrt.f64 (*.f64 z (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)))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4)) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.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)))) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.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))) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.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)))))) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(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)) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) |
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (*.f64 z (cos.f64 y)) 1) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3) |
(*.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 z) (cos.f64 y))) |
(*.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)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)) |
(*.f64 z (cos.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 z (cos.f64 y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3% | (/.f64 1 (/.f64 1 z)) |
Compiled 13 to 10 computations (23.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | -inf | (/.f64 1 (/.f64 1 z)) |
| 0.0ms | z | @ | inf | (/.f64 1 (/.f64 1 z)) |
| 0.0ms | z | @ | 0 | (/.f64 1 (/.f64 1 z)) |
| 1× | batch-egg-rewrite |
| 1182× | associate-*r* |
| 908× | add-sqr-sqrt |
| 892× | *-un-lft-identity |
| 842× | pow1 |
| 832× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 1 |
| 1 | 125 | 1 |
| 2 | 1227 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 1 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 z -1/2) -1) (pow.f64 (pow.f64 z -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 z -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 z)) -1) (pow.f64 (cbrt.f64 (pow.f64 z -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x . z)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 z)))))) |
| 1× | egg-herbie |
| 1228× | associate-*r/ |
| 1178× | associate-/r* |
| 952× | associate-*l/ |
| 916× | associate-/l* |
| 850× | associate-/r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 273 |
| 1 | 241 | 231 |
| 2 | 805 | 223 |
| 3 | 3088 | 223 |
| 1× | node limit |
| Inputs |
|---|
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
(-.f64 (+.f64 1 z) 1) |
(*.f64 1 z) |
(*.f64 z 1) |
(*.f64 (sqrt.f64 z) (sqrt.f64 z)) |
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z)) |
(*.f64 -1 (neg.f64 z)) |
(*.f64 (neg.f64 z) -1) |
(*.f64 (pow.f64 (pow.f64 z -1/2) -1) (pow.f64 (pow.f64 z -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 z -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 z)) -1)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 z)) -1) (pow.f64 (cbrt.f64 (pow.f64 z -2)) -1)) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 -1 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) |
(*.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(pow.f64 z 1) |
(pow.f64 (/.f64 1 z) -1) |
(pow.f64 (sqrt.f64 z) 2) |
(pow.f64 (cbrt.f64 z) 3) |
(pow.f64 (pow.f64 z 3) 1/3) |
(sqrt.f64 (*.f64 z z)) |
(log.f64 (exp.f64 z)) |
(cbrt.f64 (pow.f64 z 3)) |
(expm1.f64 (log1p.f64 z)) |
(exp.f64 (log.f64 z)) |
(log1p.f64 (expm1.f64 z)) |
| Outputs |
|---|
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
(-.f64 (+.f64 1 z) 1) |
z |
(*.f64 1 z) |
z |
(*.f64 z 1) |
z |
(*.f64 (sqrt.f64 z) (sqrt.f64 z)) |
z |
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)) |
z |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z)) |
z |
(*.f64 -1 (neg.f64 z)) |
z |
(*.f64 (neg.f64 z) -1) |
z |
(*.f64 (pow.f64 (pow.f64 z -1/2) -1) (pow.f64 (pow.f64 z -1/2) -1)) |
z |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 z -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 z)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (/.f64 1 (/.f64 1 (cbrt.f64 z)))) |
(/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z -2))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 z)) -1) (pow.f64 (cbrt.f64 (pow.f64 z -2)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (/.f64 1 (/.f64 1 (cbrt.f64 z)))) |
(/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z -2))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
z |
(*.f64 (*.f64 -1 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
z |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
z |
(*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))) |
(*.f64 (cbrt.f64 z) (*.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (cbrt.f64 z)) 3)) |
(*.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) |
z |
(*.f64 (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) |
z |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) |
z |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z))) |
z |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z))) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (cbrt.f64 z)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (cbrt.f64 z)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))) |
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
z |
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
z |
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
z |
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
z |
(pow.f64 z 1) |
z |
(pow.f64 (/.f64 1 z) -1) |
z |
(pow.f64 (sqrt.f64 z) 2) |
z |
(pow.f64 (cbrt.f64 z) 3) |
z |
(pow.f64 (pow.f64 z 3) 1/3) |
z |
(sqrt.f64 (*.f64 z z)) |
z |
(log.f64 (exp.f64 z)) |
z |
(cbrt.f64 (pow.f64 z 3)) |
z |
(expm1.f64 (log1p.f64 z)) |
z |
(exp.f64 (log.f64 z)) |
z |
(log1p.f64 (expm1.f64 z)) |
z |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (sin.f64 y) | |
| 0.22% | (*.f64 (sin.f64 y) x) |
Compiled 11 to 5 computations (54.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (sin.f64 y) | |
| 0.22% | (*.f64 x (sin.f64 y)) | |
| ✓ | 0.35% | (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) |
| ✓ | 10.62% | (sqrt.f64 (*.f64 x (sin.f64 y))) |
Compiled 34 to 12 computations (64.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) |
| 0.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) |
| 0.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) |
| 0.0ms | y | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) |
| 1× | batch-egg-rewrite |
| 1592× | add-sqr-sqrt |
| 1574× | *-un-lft-identity |
| 1458× | add-cube-cbrt |
| 1440× | add-cbrt-cube |
| 1424× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 200 | 26 |
| 2 | 2036 | 26 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 x (sin.f64 y))) |
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) (pow.f64 (*.f64 x (sin.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) (cbrt.f64 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sin.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 1/4)) (pow.f64 (*.f64 x (sin.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 1264× | associate-+r+ |
| 1202× | distribute-lft-in |
| 1166× | associate-+l+ |
| 1148× | distribute-rgt-in |
| 784× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 1019 |
| 1 | 235 | 1007 |
| 2 | 887 | 999 |
| 3 | 2873 | 999 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.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 (sin.f64 y) x) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (sin.f64 y)))) 1) |
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1) |
(*.f64 1 (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) (pow.f64 (*.f64 x (sin.f64 y)) 1/4)) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) (cbrt.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 1/2)) |
(pow.f64 (*.f64 x (sin.f64 y)) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (*.f64 x (sin.f64 y)) 1) |
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 1 (*.f64 x (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sin.f64 y))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) x)) |
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) |
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 1/4)) (pow.f64 (*.f64 x (sin.f64 y)) 1/4)) |
(*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) |
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) |
(exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y)))) |
| Outputs |
|---|
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(sqrt.f64 (*.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 (sin.f64 y) x) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (sin.f64 y)))) 1) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(*.f64 1 (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) (pow.f64 (*.f64 x (sin.f64 y)) 1/4)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) (cbrt.f64 (*.f64 x (sin.f64 y)))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)))) |
(*.f64 (fabs.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 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) x))) (cbrt.f64 (*.f64 (sin.f64 y) x))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)))) |
(*.f64 (fabs.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 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) x))) (cbrt.f64 (*.f64 (sin.f64 y) x))) |
(pow.f64 (*.f64 x (sin.f64 y)) 1/2) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) 2) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 3) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(fabs.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1/2)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 1)) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(sqrt.f64 (*.f64 (sin.f64 y) x)) |
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 (*.f64 x (sin.f64 y)) 1) |
(*.f64 (sin.f64 y) x) |
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (sin.f64 y) x) |
(*.f64 1 (*.f64 x (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (sin.f64 y) x) |
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (sin.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (sin.f64 y) x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (sin.f64 y) x) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 1/4)) (pow.f64 (*.f64 x (sin.f64 y)) 1/4)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (sin.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))) |
(*.f64 (sin.f64 y) x) |
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)) |
(*.f64 (sin.f64 y) x) |
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) |
(*.f64 (sin.f64 y) x) |
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (sin.f64 y) x) |
(exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (sin.f64 y) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1)) |
(*.f64 (sin.f64 y) x) |
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (sin.f64 y) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
| ✓ | 0.1% | (*.f64 (cos.f64 y) (sqrt.f64 z)) |
| 0.22% | (*.f64 x (sin.f64 y)) | |
| ✓ | 0.32% | (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
Compiled 42 to 10 computations (76.2% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | z | @ | -inf | (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
| 4.0ms | z | @ | 0 | (*.f64 (cos.f64 y) (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 |
| 1220× | unswap-sqr |
| 892× | swap-sqr |
| 602× | distribute-rgt-in |
| 556× | distribute-lft-in |
| 420× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 1 | 266 | 49 |
| 2 | 3436 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (cos.f64 y) (sqrt.f64 z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (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 (exp.f64 (*.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 (sqrt.f64 z)) (cos.f64 y)))))) (#(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 cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3/2) (pow.f64 (cos.f64 y) 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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) (-.f64 1 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 780× | associate-/r/ |
| 678× | associate-/l/ |
| 626× | associate-*r* |
| 600× | +-commutative |
| 596× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 346 | 8392 |
| 1 | 946 | 8072 |
| 2 | 4620 | 8060 |
| 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)) |
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(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (+.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) (sqrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) (cbrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) 1) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (+.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (sqrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (sqrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (cbrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (cbrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) z)))) (-.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) z)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 3) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))))) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 2)) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z)) (*.f64 x (sin.f64 y))) |
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (sin.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 1 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) |
(fma.f64 1 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 x (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 x (sin.f64 y))) |
| Outputs |
|---|
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 (*.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 (*.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))) |
(+.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))))) |
(*.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)) |
(*.f64 (+.f64 (*.f64 (*.f64 -1/2 y) y) 1) (sqrt.f64 z)) |
(*.f64 (+.f64 1 (*.f64 (*.f64 -1/2 y) y)) (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 (fma.f64 -1/2 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 (*.f64 1/24 (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 (*.f64 (*.f64 -1/2 y) y)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.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 (*.f64 1/24 (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 (*.f64 -1/2 y) y)))) |
(+.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 (+.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 1/24 (pow.f64 y 4))))) |
(*.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 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 z (cos.f64 y)) 6)) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 z (cos.f64 y)) 6)) (*.f64 (fma.f64 (cos.f64 y) (*.f64 z (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (*.f64 (fma.f64 (cos.f64 y) (*.f64 z (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (pow.f64 (*.f64 (sin.f64 y) x) 6)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (sqrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (sqrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (cbrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (cbrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) z)))) (-.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))) (+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 (cos.f64 y) (*.f64 z (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 (cos.f64 y) (*.f64 z (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 (cos.f64 y) (*.f64 z (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 1) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 3) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 3) 1/3) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 (cos.f64 y) (*.f64 z (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) x) 2))) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2)) |
(fabs.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 3)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 1)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z)) (*.f64 x (sin.f64 y))) |
(fma.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (sin.f64 y))) |
(fma.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 1 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 1 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
Compiled 14997 to 5664 computations (62.2% saved)
30 alts after pruning (19 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 673 | 7 | 680 |
| Fresh | 4 | 12 | 16 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 11 | 12 |
| Total | 679 | 30 | 709 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 52% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2) | |
| 52.32% | (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/4) -4) | |
| 78.72% | (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2) | |
| ✓ | 51.99% | (/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2)) |
| 61.3% | (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x)) | |
| 37.73% | (/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y))) | |
| 47.07% | (/.f64 1 (/.f64 1 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))) | |
| ✓ | 61.4% | (/.f64 1 (/.f64 1 z)) |
| 64.27% | (/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z))))) | |
| 62.3% | (/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z)))) | |
| 72.98% | (-.f64 (+.f64 1 z) 1) | |
| 26.09% | (+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y))) z) | |
| 64.87% | (+.f64 (*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z) | |
| 72.32% | (+.f64 (*.f64 y x) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) | |
| 67.83% | (+.f64 (*.f64 y x) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) | |
| ✓ | 49.27% | (+.f64 (*.f64 y x) z) |
| ✓ | 54.95% | (+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) |
| ✓ | 1.31% | (+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) |
| 1.35% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))) | |
| ✓ | 1.34% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))) |
| 26.72% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) | |
| ✓ | 0.21% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | 25.44% | (+.f64 (*.f64 x (sin.f64 y)) z) |
| 13.59% | (+.f64 (*.f64 x (log.f64 (exp.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y))) | |
| ✓ | 61.18% | (*.f64 (sin.f64 y) x) |
| 61.24% | (*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) x) | |
| 37.58% | (*.f64 (cos.f64 y) z) | |
| ✓ | 83.86% | (*.f64 y x) |
| 61.31% | z |
Compiled 406 to 276 computations (32% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(-.f64 (+.f64 1 z) 1) |
(/.f64 1 (/.f64 1 z)) |
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z)))) |
(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sin.f64 y) x) |
(fma.f64 y x z) |
(+.f64 (*.f64 x (sin.f64 y)) z) |
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) |
(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y))) |
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) x) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2) |
(+.f64 (*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) z) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z) |
(+.f64 (*.f64 y x) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)) |
(+.f64 (*.f64 y x) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(+.f64 (*.f64 x (log.f64 (exp.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z) |
(+.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 3))) (*.f64 z (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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y))) z) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) -1/4) -4) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) |
(/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) 2)) |
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3)))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))) |
(/.f64 1 (/.f64 1 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
4 calls:
| 42.0ms | x |
| 29.0ms | z |
| 23.0ms | y |
| 22.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Error | Segments | Branch |
|---|---|---|
| 0.2% | 1 | x |
| 0.2% | 1 | y |
| 0.2% | 1 | z |
| 0.2% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 753 to 268 computations (64.4% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(-.f64 (+.f64 1 z) 1) |
(/.f64 1 (/.f64 1 z)) |
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z)))) |
(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sin.f64 y) x) |
(fma.f64 y x z) |
(+.f64 (*.f64 x (sin.f64 y)) z) |
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) |
(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y))) |
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) x) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2) |
(+.f64 (*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) z) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
4 calls:
| 39.0ms | z |
| 11.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 10.0ms | y |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.21% | 1 | x |
| 0.21% | 1 | y |
| 0.21% | 1 | z |
| 0.21% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 157 to 79 computations (49.7% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(-.f64 (+.f64 1 z) 1) |
(/.f64 1 (/.f64 1 z)) |
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z)))) |
(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sin.f64 y) x) |
(fma.f64 y x z) |
(+.f64 (*.f64 x (sin.f64 y)) z) |
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) |
(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y))) |
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z)) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 x (sin.f64 y)) z) |
(*.f64 (cos.f64 y) z) |
3 calls:
| 90.0ms | y |
| 30.0ms | z |
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 11.96% | 3 | x |
| 16.53% | 6 | y |
| 11.1% | 3 | z |
Compiled 115 to 62 computations (46.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 3.756768673481183e+54 | 2.8227613458467786e+62 |
| 38.0ms | -7.859434182324132e+39 | -2.078998408779931e+36 |
| 32.0ms | 75× | body | 1024 | valid |
| 31.0ms | 169× | body | 256 | valid |
| 8.0ms | 28× | body | 512 | valid |
Compiled 324 to 234 computations (27.8% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(-.f64 (+.f64 1 z) 1) |
(/.f64 1 (/.f64 1 z)) |
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z)))) |
(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sin.f64 y) x) |
(fma.f64 y x z) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sin.f64 y) x) |
(*.f64 (cos.f64 y) z) |
3 calls:
| 39.0ms | z |
| 33.0ms | y |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.04% | 3 | x |
| 20.23% | 5 | y |
| 23.39% | 3 | z |
Compiled 72 to 42 computations (41.7% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 77.0ms | 4.3553098761413015e+203 | 9.281252291041425e+220 |
| 23.0ms | 1.2692388224616833e+20 | 3.5193538257384385e+21 |
| 28.0ms | 0.00047844286989529234 | 908699.9888087924 |
| 29.0ms | -332.168073829764 | -1.301729146957341e-9 |
| 75.0ms | 416× | body | 256 | valid |
| 75.0ms | 160× | body | 1024 | valid |
Compiled 613 to 445 computations (27.4% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(-.f64 (+.f64 1 z) 1) |
(/.f64 1 (/.f64 1 z)) |
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z)))) |
(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z))))) |
(*.f64 (cos.f64 y) z) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 (cos.f64 y) z) |
3 calls:
| 38.0ms | z |
| 15.0ms | x |
| 14.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 30.74% | 3 | x |
| 24.22% | 3 | y |
| 28% | 3 | z |
Compiled 64 to 39 computations (39.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.00047844286989529234 | 908699.9888087924 |
| 31.0ms | -332.168073829764 | -1.301729146957341e-9 |
| 53.0ms | 304× | body | 256 | valid |
Compiled 341 to 241 computations (29.3% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(-.f64 (+.f64 1 z) 1) |
(/.f64 1 (/.f64 1 z)) |
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z)))) |
(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z))))) |
| Outputs |
|---|
(+.f64 (*.f64 y x) z) |
3 calls:
| 6.0ms | z |
| 5.0ms | y |
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 49.27% | 1 | x |
| 49.27% | 1 | y |
| 49.27% | 1 | z |
Compiled 60 to 37 computations (38.3% saved)
Total -25.8b remaining (-70.5%)
Threshold costs -25.8b (-70.5%)
| Inputs |
|---|
z |
(*.f64 y x) |
| Outputs |
|---|
z |
(*.f64 y x) |
z |
3 calls:
| 101.0ms | y |
| 12.0ms | x |
| 10.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 57.65% | 4 | x |
| 61.31% | 1 | y |
| 57.11% | 3 | z |
Compiled 19 to 13 computations (31.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 65.0ms | 6.102983903542715e-228 | 6.053804748653909e-226 |
| 50.0ms | -1.4777020453590979e-139 | -2.7571106096351002e-142 |
| 77.0ms | 154× | body | 256 | valid |
| 25.0ms | 53× | body | 1024 | valid |
| 10.0ms | 33× | body | 512 | valid |
Compiled 198 to 148 computations (25.3% saved)
| 1× | egg-herbie |
| 8× | if-if-or-not |
| 6× | +-commutative |
| 6× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 282 |
| 1 | 74 | 282 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(if (<=.f64 z -580000000000000013388349280115010568192) (*.f64 (cos.f64 y) z) (if (<=.f64 z 8499999999999999474489809215783450537784436537843253248) (+.f64 (*.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z))) |
(if (<=.f64 y -8669969714643489/9223372036854775808) (*.f64 (cos.f64 y) z) (if (<=.f64 y 2582544170319337/4611686018427387904) (+.f64 (*.f64 y x) z) (if (<=.f64 y 780000000000000000000) (*.f64 (cos.f64 y) z) (if (<=.f64 y 2599999999999999815970763031442608756325943125407044540865080229164977990324474947135381155262483579450937260774759059410038087546994919684960432461788117558423966760189653766409060703482495221522741241839616) (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 y -8116567392432203/9223372036854775808) (*.f64 (cos.f64 y) z) (if (<=.f64 y 6456360425798343/9223372036854775808) (+.f64 (*.f64 y x) z) (*.f64 (cos.f64 y) z))) |
(+.f64 (*.f64 y x) z) |
(if (<=.f64 z -7036417601633875/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) z (if (<=.f64 z 8108305550381903/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128) (*.f64 y x) z)) |
z |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(if (<=.f64 z -580000000000000013388349280115010568192) (*.f64 (cos.f64 y) z) (if (<=.f64 z 8499999999999999474489809215783450537784436537843253248) (+.f64 (*.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z))) |
(if (or (<=.f64 z -580000000000000013388349280115010568192) (not (<=.f64 z 8499999999999999474489809215783450537784436537843253248))) (*.f64 (cos.f64 y) z) (+.f64 z (*.f64 (sin.f64 y) x))) |
(if (<=.f64 y -8669969714643489/9223372036854775808) (*.f64 (cos.f64 y) z) (if (<=.f64 y 2582544170319337/4611686018427387904) (+.f64 (*.f64 y x) z) (if (<=.f64 y 780000000000000000000) (*.f64 (cos.f64 y) z) (if (<=.f64 y 2599999999999999815970763031442608756325943125407044540865080229164977990324474947135381155262483579450937260774759059410038087546994919684960432461788117558423966760189653766409060703482495221522741241839616) (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 y -8669969714643489/9223372036854775808) (*.f64 (cos.f64 y) z) (if (<=.f64 y 2582544170319337/4611686018427387904) (+.f64 z (*.f64 y x)) (if (or (<=.f64 y 780000000000000000000) (not (<=.f64 y 2599999999999999815970763031442608756325943125407044540865080229164977990324474947135381155262483579450937260774759059410038087546994919684960432461788117558423966760189653766409060703482495221522741241839616))) (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(if (<=.f64 y -8116567392432203/9223372036854775808) (*.f64 (cos.f64 y) z) (if (<=.f64 y 6456360425798343/9223372036854775808) (+.f64 (*.f64 y x) z) (*.f64 (cos.f64 y) z))) |
(if (or (<=.f64 y -8116567392432203/9223372036854775808) (not (<=.f64 y 6456360425798343/9223372036854775808))) (*.f64 (cos.f64 y) z) (+.f64 z (*.f64 y x))) |
(+.f64 (*.f64 y x) z) |
(+.f64 z (*.f64 y x)) |
(if (<=.f64 z -7036417601633875/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) z (if (<=.f64 z 8108305550381903/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128) (*.f64 y x) z)) |
z |
Compiled 131 to 84 computations (35.9% saved)
| 1× | egg-herbie |
| 766× | distribute-lft-neg-in |
| 744× | associate-+r+ |
| 736× | distribute-rgt-neg-in |
| 682× | +-commutative |
| 656× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 373 | 8367 |
| 1 | 985 | 7833 |
| 2 | 4675 | 7813 |
| 1× | node limit |
Compiled 37 to 12 computations (67.6% saved)
Compiled 110 to 45 computations (59.1% saved)
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