Time bar (total: 5.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 25% | 74.9% | 0.1% | 8 |
| 35.9% | 64% | 0.1% | 9 |
| 47.6% | 52.3% | 0.1% | 10 |
| 54.8% | 45.1% | 0.1% | 11 |
| 62.8% | 37.1% | 0.1% | 12 |
Compiled 12 to 8 computations (33.3% saved)
| 941.0ms | 6063× | body | 256 | valid |
| 503.0ms | 1385× | body | 1024 | valid |
| 234.0ms | 806× | body | 512 | valid |
| 93.0ms | 692× | body | 256 | invalid |
| 14.0ms | 55× | body | 512 | invalid |
| 8.0ms | 25× | body | 1024 | invalid |
| 1.0ms | 2× | body | 2048 | valid |
| 2× | egg-herbie |
| 54× | associate-/l*_binary64 |
| 47× | *-commutative_binary64 |
| 38× | associate-/r/_binary64 |
| 24× | associate-*l/_binary64 |
| 20× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 48 |
| 1 | 38 | 48 |
| 2 | 83 | 48 |
| 3 | 176 | 48 |
| 4 | 255 | 48 |
| 5 | 291 | 48 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 y (/.f64 (sin.f64 x) x)) z) |
(/.f64 (*.f64 z (/.f64 (sin.f64 y) y)) x) |
(/.f64 (*.f64 x (/.f64 (sin.f64 z) z)) y) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(/.f64 (*.f64 y (/.f64 (sin.f64 x) x)) z) |
(/.f64 y (/.f64 z (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 y z) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 y z)) |
(*.f64 y (/.f64 (/.f64 (sin.f64 x) x) z)) |
(/.f64 (*.f64 z (/.f64 (sin.f64 y) y)) x) |
(/.f64 z (/.f64 x (/.f64 (sin.f64 y) y))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) x) z) |
(*.f64 (/.f64 z (*.f64 x y)) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 z (*.f64 x y))) |
(/.f64 (*.f64 x (/.f64 (sin.f64 z) z)) y) |
(/.f64 x (/.f64 y (/.f64 (sin.f64 z) z))) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 z) z)) |
(*.f64 (/.f64 (sin.f64 z) z) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 z) (*.f64 y z))) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 14× | associate-/l*_binary64 |
| 12× | *-commutative_binary64 |
| 10× | associate-/r/_binary64 |
| 6× | associate-*l/_binary64 |
| 5× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 13 | 12 |
| 2 | 25 | 12 |
| 3 | 50 | 12 |
| 4 | 71 | 12 |
| 5 | 81 | 12 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
Compiled 19 to 10 computations (47.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 7.5b | (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
| ▶ | 3.4b | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 22 to 14 computations (36.4% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.3b | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) | |
| 0.1b | (/.f64 (sin.f64 y) y) | |
| 0.1b | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| ✓ | 0.1b | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 0.1b | (/.f64 (sin.f64 y) y) |
| ✓ | 3.3b | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 26 to 7 computations (73.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 2.0ms | x | @ | 0 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 2.0ms | y | @ | -inf | (/.f64 (sin.f64 y) y) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 1× | batch-egg-rewrite |
| 525× | log-prod_binary64 |
| 402× | exp-prod_binary64 |
| 372× | prod-exp_binary64 |
| 318× | pow-prod-down_binary64 |
| 242× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 172 | 27 |
| 2 | 2511 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (sin.f64 y) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 z (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (*.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (sin.f64 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))))) (sqrt.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (sin.f64 y))) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 y) y)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 y (sin.f64 y))))))))) |
| 1× | egg-herbie |
| 757× | distribute-rgt-out_binary64 |
| 708× | fma-def_binary64 |
| 530× | associate-*l/_binary64 |
| 456× | associate-*l*_binary64 |
| 447× | distribute-lft-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 774 |
| 1 | 127 | 770 |
| 2 | 338 | 761 |
| 3 | 1033 | 759 |
| 4 | 4105 | 751 |
| 5 | 7100 | 751 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))) |
(fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))) |
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))) |
(fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z))) |
(+.f64 (/.f64 x z) (*.f64 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 (*.f64 y y) 1/120 -1/6))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))) |
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z)))) |
(fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (/.f64 x z)))) |
(+.f64 (/.f64 x z) (fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (*.f64 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 (*.f64 y y) 1/120 -1/6)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 y -1/6) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6)))) |
(fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/120 -1/6) 1) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) |
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1))) |
(fma.f64 y (*.f64 y -1/6) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x) |
(fma.f64 -1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(fma.f64 x (*.f64 y (*.f64 y -1/6)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(+.f64 x (*.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6))))) |
(*.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/120 -1/6) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(+.f64 (*.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) x) (*.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6))))) |
(+.f64 x (*.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/6) (*.f64 1/120 (pow.f64 y 4)))))) |
(*.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1)))) |
(*.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 4.6b | (/.f64 (sin.f64 y) (*.f64 y z)) | |
| 3.0b | (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) | |
| ✓ | 3.0b | (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
| ✓ | 4.6b | (/.f64 (sin.f64 y) (*.f64 y z)) |
Compiled 25 to 7 computations (72% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
| 1.0ms | y | @ | -inf | (/.f64 (sin.f64 y) (*.f64 y z)) |
| 1.0ms | z | @ | inf | (/.f64 (sin.f64 y) (*.f64 y z)) |
| 1.0ms | y | @ | 0 | (/.f64 (sin.f64 y) (*.f64 y z)) |
| 0.0ms | y | @ | inf | (/.f64 (sin.f64 y) (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 946× | pow1_binary64 |
| 874× | add-log-exp_binary64 |
| 874× | log1p-expm1-u_binary64 |
| 874× | expm1-log1p-u_binary64 |
| 854× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 166 | 21 |
| 2 | 2296 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (*.f64 y z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 y) (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (/.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 2) (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) (sqrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) z) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y z))) (/.f64 (sin.f64 y) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 (*.f64 y z))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 (sin.f64 y) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (*.f64 y z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sin.f64 y))) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) (*.f64 y z))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))))))) |
| 1× | egg-herbie |
| 976× | fma-def_binary64 |
| 526× | distribute-lft-out_binary64 |
| 447× | distribute-rgt-out_binary64 |
| 401× | associate-*l/_binary64 |
| 391× | associate-*r/_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 554 |
| 1 | 109 | 554 |
| 2 | 274 | 554 |
| 3 | 719 | 552 |
| 4 | 2778 | 545 |
| 5 | 5337 | 544 |
| 6 | 6520 | 544 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 z) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z)) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
| Outputs |
|---|
(/.f64 1 z) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z)) |
(fma.f64 -1/6 (/.f64 (*.f64 y y) z) (/.f64 1 z)) |
(fma.f64 -1/6 (/.f64 y (/.f64 z y)) (/.f64 1 z)) |
(fma.f64 -1/6 (*.f64 (/.f64 y z) y) (/.f64 1 z)) |
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z)) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z))) |
(fma.f64 -1/6 (/.f64 (*.f64 y y) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))) |
(fma.f64 -1/6 (/.f64 y (/.f64 z y)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))) |
(fma.f64 -1/6 (*.f64 (/.f64 y z) y) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))) |
(fma.f64 (/.f64 1/120 z) (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z))) |
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))) |
(fma.f64 (pow.f64 y 4) (/.f64 1/120 z) (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z)))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 -1/6 (/.f64 (*.f64 y y) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 -1/6 (/.f64 y (/.f64 z y)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))) |
(fma.f64 -1/6 (*.f64 (/.f64 y z) y) (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))) |
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (/.f64 1 z)))) |
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 (pow.f64 y 4) (/.f64 1/120 z) (fma.f64 (pow.f64 y 6) (/.f64 -1/5040 z) (/.f64 1 z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 (/.f64 y (/.f64 z y)) x) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 (*.f64 (/.f64 y z) y) x) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 (*.f64 y y) (/.f64 x z)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 y x) (/.f64 z y)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))) |
(fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (*.f64 (/.f64 y (/.f64 z y)) x) (/.f64 x z))) |
(fma.f64 -1/6 (*.f64 (*.f64 (/.f64 y z) y) x) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (/.f64 x z))) |
(+.f64 (/.f64 x z) (*.f64 x (fma.f64 (/.f64 1/120 z) (pow.f64 y 4) (/.f64 -1/6 (/.f64 z (*.f64 y y)))))) |
(fma.f64 x (*.f64 (*.f64 y (/.f64 y z)) (+.f64 (*.f64 y (*.f64 y 1/120)) -1/6)) (/.f64 x z)) |
(fma.f64 x (*.f64 (*.f64 y (/.f64 y z)) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))) (/.f64 x z)) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (*.f64 (/.f64 y (/.f64 z y)) x) (/.f64 x z)))) |
(fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 -1/6 (*.f64 (*.f64 (/.f64 y z) y) x) (/.f64 x z)))) |
(+.f64 (/.f64 x z) (fma.f64 -1/6 (*.f64 (*.f64 y y) (/.f64 x z)) (*.f64 x (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (*.f64 (pow.f64 y 4) (/.f64 1/120 z)))))) |
(+.f64 (/.f64 x z) (*.f64 x (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (*.f64 (*.f64 y (/.f64 y z)) (+.f64 (*.f64 y (*.f64 y 1/120)) -1/6))))) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 -1/6 (*.f64 y y)) (*.f64 (pow.f64 y 4) (+.f64 1/120 (*.f64 (*.f64 y y) -1/5040)))))) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 -1/6 (*.f64 y y)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6)))))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
Compiled 3509 to 1335 computations (62% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 253 | 8 | 261 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 253 | 10 | 263 |
| Status | Error | Program |
|---|---|---|
| ▶ | 25.4b | (/.f64 x z) |
| ▶ | 11.1b | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
| 3.1b | (*.f64 x (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z))) | |
| 9.4b | (/.f64 x (/.f64 y (/.f64 (sin.f64 y) z))) | |
| ▶ | 3.4b | (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
| ✓ | 7.5b | (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
| ✓ | 3.4b | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| ▶ | 2.5b | (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1) |
| ▶ | 2.4b | (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
| 25.5b | (*.f64 x (/.f64 1 z)) |
Compiled 190 to 126 computations (33.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.2b | (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) | |
| 0.1b | (/.f64 (sin.f64 y) y) | |
| 0.1b | (/.f64 (sin.f64 y) y) | |
| ✓ | 2.2b | (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
Compiled 23 to 7 computations (69.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
| 1× | batch-egg-rewrite |
| 521× | log-prod_binary64 |
| 455× | prod-exp_binary64 |
| 388× | exp-prod_binary64 |
| 376× | pow-prod-down_binary64 |
| 250× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 175 | 12 |
| 2 | 2591 | 12 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z y) (*.f64 x (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (/.f64 x z) (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))) (sqrt.f64 (log.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x z)) 1) (log.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (log.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 x z) (sin.f64 y))) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 x z)) 1) (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x z)) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 x z)) 1) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (log.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 y) y)) (*.f64 (log.f64 (/.f64 x z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (*.f64 (log.f64 (/.f64 x z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))))))) |
| 1× | egg-herbie |
| 751× | associate-/r/_binary64 |
| 680× | fma-def_binary64 |
| 463× | associate-/l/_binary64 |
| 442× | associate-*r/_binary64 |
| 392× | times-frac_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 478 |
| 1 | 75 | 478 |
| 2 | 203 | 478 |
| 3 | 577 | 478 |
| 4 | 2495 | 472 |
| 5 | 5803 | 468 |
| 6 | 6612 | 468 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 y (*.f64 y x)) z) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)) |
(fma.f64 x (*.f64 -1/6 (/.f64 (*.f64 y y) z)) (/.f64 x z)) |
(fma.f64 x (*.f64 -1/6 (/.f64 y (/.f64 z y))) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))) |
(fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (/.f64 (*.f64 y (*.f64 y x)) z) (/.f64 x z))) |
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z))) |
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z))) |
(fma.f64 x (fma.f64 -1/6 (/.f64 (*.f64 y y) z) (*.f64 1/120 (/.f64 (pow.f64 y 4) z))) (/.f64 x z)) |
(fma.f64 x (*.f64 (/.f64 (*.f64 y y) z) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))) (/.f64 x z)) |
(fma.f64 x (*.f64 (/.f64 y z) (+.f64 (*.f64 y -1/6) (*.f64 1/120 (pow.f64 y 3)))) (/.f64 x z)) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))) |
(fma.f64 -1/5040 (/.f64 x (/.f64 z (pow.f64 y 6))) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (/.f64 (*.f64 y (*.f64 y x)) z) (/.f64 x z)))) |
(fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z)))) |
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (/.f64 x z)))) |
(fma.f64 x (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (fma.f64 x (fma.f64 -1/6 (/.f64 (*.f64 y y) z) (*.f64 1/120 (/.f64 (pow.f64 y 4) z))) (/.f64 x z))) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 (*.f64 y y) (+.f64 -1/6 (*.f64 (pow.f64 y 4) -1/5040)))))) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 -1/6 (*.f64 y y)) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
Compiled 8 to 4 computations (50% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.3b | (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) | |
| 0.1b | (/.f64 y (sin.f64 y)) | |
| 0.1b | (/.f64 x (/.f64 y (sin.f64 y))) | |
| ✓ | 0.1b | (/.f64 x (/.f64 y (sin.f64 y))) |
| ✓ | 0.1b | (/.f64 y (sin.f64 y)) |
| ✓ | 3.3b | (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
Compiled 26 to 7 computations (73.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 y (sin.f64 y)) |
| 1.0ms | y | @ | inf | (/.f64 y (sin.f64 y)) |
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
| 0.0ms | y | @ | 0 | (/.f64 y (sin.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
| 1× | batch-egg-rewrite |
| 566× | log-prod_binary64 |
| 438× | exp-prod_binary64 |
| 323× | pow-prod-down_binary64 |
| 252× | pow2_binary64 |
| 192× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 178 | 27 |
| 2 | 2758 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
(/.f64 y (sin.f64 y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
| Outputs |
|---|
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(/.f64 y (sin.f64 y)) -1/2) (/.f64 x (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 x (sin.f64 y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))) (sqrt.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x (sin.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x (sin.f64 y)) y))))))) |
| 1× | egg-herbie |
| 901× | distribute-rgt-out_binary64 |
| 777× | fma-def_binary64 |
| 541× | associate-*l/_binary64 |
| 501× | associate-*l*_binary64 |
| 465× | distribute-lft-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 774 |
| 1 | 137 | 772 |
| 2 | 369 | 762 |
| 3 | 1126 | 759 |
| 4 | 4364 | 751 |
| 5 | 7560 | 751 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
1 |
(+.f64 1 (*.f64 1/6 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))) |
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 x (/.f64 (*.f64 y y) z)) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(fma.f64 1/120 (/.f64 (*.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z))) |
(fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))) |
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z))) |
(fma.f64 -1/6 (*.f64 x (/.f64 (*.f64 y y) z)) (fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (/.f64 x z))) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(fma.f64 -1/5040 (/.f64 (*.f64 x (pow.f64 y 6)) z) (fma.f64 1/120 (/.f64 (*.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))) |
(fma.f64 -1/5040 (/.f64 x (/.f64 z (pow.f64 y 6))) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z)))) |
(fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))) |
(fma.f64 -1/6 (*.f64 x (/.f64 (*.f64 y y) z)) (fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (/.f64 x z)))) |
(+.f64 (/.f64 x z) (fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (*.f64 (/.f64 x z) (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
1 |
(+.f64 1 (*.f64 1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 (*.f64 y y) 1/6)) |
(fma.f64 (*.f64 y y) 1/6 1) |
(fma.f64 y (*.f64 y 1/6) 1) |
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 4) 7/360))) |
(+.f64 1 (fma.f64 (pow.f64 y 4) 7/360 (*.f64 y (*.f64 y 1/6)))) |
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 7/360) 1/6) 1) |
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 4) 7/360)))) |
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (pow.f64 y 4) 7/360 (*.f64 y (*.f64 y 1/6))))) |
(fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1))) |
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (pow.f64 y 4) 7/360 1))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x) |
(fma.f64 (*.f64 (*.f64 -1/6 y) y) x x) |
(fma.f64 x (*.f64 y (*.f64 y -1/6)) x) |
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) |
(fma.f64 x (*.f64 -1/6 (*.f64 y y)) x) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x) |
(*.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6))) (fma.f64 x (*.f64 y (*.f64 y -1/6)) x)) |
(fma.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/5040 (pow.f64 y 6) (*.f64 1/120 (pow.f64 y 4)))) x) |
(fma.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6)))) x) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 8.5b | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 2.5b | (/.f64 (*.f64 (sin.f64 y) x) z) | |
| 0.2b | (*.f64 (sin.f64 y) x) | |
| ✓ | 0.2b | (*.f64 (sin.f64 y) x) |
| ✓ | 2.5b | (/.f64 (*.f64 (sin.f64 y) x) z) |
| ✓ | 8.5b | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
Compiled 26 to 7 computations (73.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 (sin.f64 y) x) z) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 (sin.f64 y) x) z) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 (sin.f64 y) x) z) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 y) x) z) |
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 (sin.f64 y) x) z) |
| 1× | batch-egg-rewrite |
| 531× | log-prod_binary64 |
| 407× | exp-prod_binary64 |
| 332× | pow-prod-down_binary64 |
| 242× | pow2_binary64 |
| 201× | div-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 172 | 27 |
| 2 | 2553 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) x) (/.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 z x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 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| 1× | egg-herbie |
| 820× | fma-def_binary64 |
| 569× | associate-/l*_binary64 |
| 550× | distribute-lft-out_binary64 |
| 524× | associate-*l/_binary64 |
| 500× | *-commutative_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 666 |
| 1 | 169 | 661 |
| 2 | 485 | 646 |
| 3 | 1518 | 641 |
| 4 | 4433 | 622 |
| 5 | 6558 | 610 |
| 6 | 7559 | 610 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 y x) z) |
(+.f64 (/.f64 (*.f64 y x) z) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z))) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)) (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z)))) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z)) (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 7) x) z))))) |
(*.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))))) |
| Outputs |
|---|
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z)) |
(fma.f64 (/.f64 -1/6 (/.f64 (/.f64 z y) y)) x (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z))) |
(fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z))) |
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z))) |
(fma.f64 (/.f64 (pow.f64 y 4) z) (*.f64 x 1/120) (fma.f64 (/.f64 -1/6 (/.f64 (/.f64 z y) y)) x (/.f64 x z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))) |
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z)))) |
(fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z)))) |
(fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (fma.f64 (/.f64 (pow.f64 y 4) z) (*.f64 x 1/120) (fma.f64 (/.f64 -1/6 (/.f64 (/.f64 z y) y)) x (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 x z) y) |
(+.f64 (/.f64 (*.f64 y x) z) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z))) |
(+.f64 (/.f64 y (/.f64 z x)) (*.f64 -1/6 (/.f64 (pow.f64 y 3) (/.f64 z x)))) |
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 y 3) z) x) (*.f64 (/.f64 y z) x)) |
(fma.f64 -1/6 (*.f64 x (/.f64 (pow.f64 y 3) z)) (*.f64 (/.f64 x z) y)) |
(*.f64 x (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))) |
(*.f64 (/.f64 x z) (fma.f64 -1/6 (pow.f64 y 3) y)) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)) (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z)))) |
(+.f64 (/.f64 y (/.f64 z x)) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) (/.f64 z x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 z x))))) |
(+.f64 (*.f64 (/.f64 y z) x) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 z x)) (/.f64 -1/6 (/.f64 z (*.f64 x (pow.f64 y 3)))))) |
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 5)) (fma.f64 -1/6 (*.f64 x (/.f64 (pow.f64 y 3) z)) (*.f64 (/.f64 x z) y))) |
(fma.f64 (/.f64 1/120 z) (*.f64 x (pow.f64 y 5)) (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z)))) |
(fma.f64 x (/.f64 y z) (*.f64 (/.f64 x z) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/6 (pow.f64 y 3))))) |
(*.f64 (/.f64 x z) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z)) (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 7) x) z))))) |
(+.f64 (/.f64 y (/.f64 z x)) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 z x)) (*.f64 -1/5040 (/.f64 (pow.f64 y 7) (/.f64 z x)))))) |
(+.f64 (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 y 3) z) x) (*.f64 (/.f64 y z) x)) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 z x)) (*.f64 -1/5040 (/.f64 (pow.f64 y 7) (/.f64 z x))))) |
(fma.f64 -1/6 (*.f64 x (/.f64 (pow.f64 y 3) z)) (fma.f64 (/.f64 y z) x (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 5)) (*.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 7)))))) |
(fma.f64 x (/.f64 y z) (fma.f64 -1/6 (*.f64 x (/.f64 (pow.f64 y 3) z)) (*.f64 x (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 7) z)) (/.f64 1/120 (/.f64 z (pow.f64 y 5))))))) |
(+.f64 (*.f64 (/.f64 x z) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 (/.f64 x z) (fma.f64 -1/5040 (pow.f64 y 7) y))) |
(*.f64 (/.f64 x z) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 -1/6 (pow.f64 y 3)))))) |
(*.f64 y x) |
(*.f64 x y) |
(+.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 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 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 x y (*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7)))))) |
(*.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y))) |
(*.f64 x (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 -1/6 (pow.f64 y 3)))))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.9b | (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) | |
| 0.6b | (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1) | |
| 0.1b | (/.f64 y (sin.f64 y)) | |
| 0.1b | (/.f64 y (sin.f64 y)) | |
| ✓ | 0.6b | (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1) |
| ✓ | 1.9b | (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
Compiled 34 to 10 computations (70.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
| 2.0ms | y | @ | -inf | (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
| 1.0ms | y | @ | 0 | (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1) |
| 1.0ms | y | @ | inf | (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1) |
| 1.0ms | y | @ | -inf | (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1) |
| 1× | batch-egg-rewrite |
| 607× | log-prod_binary64 |
| 417× | pow-prod-down_binary64 |
| 299× | pow2_binary64 |
| 230× | pow-unpow_binary64 |
| 208× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 220 | 24 |
| 2 | 3119 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (sin.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (/.f64 x z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (*.f64 (sin.f64 y) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (sin.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sin.f64 y)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z x) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 y) (*.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sin.f64 y)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y z)) (neg.f64 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (/.f64 z x))) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) 1) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (*.f64 x (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 z x)) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 z x)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 z x)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (/.f64 z x)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) (*.f64 y (/.f64 z x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) -2)) (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))) -2) (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y z)) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (/.f64 z x))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))) -2) (cbrt.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 z x)) (sin.f64 y)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))))))) |
| 1× | egg-herbie |
| 835× | fma-neg_binary64 |
| 557× | distribute-rgt-neg-in_binary64 |
| 393× | fma-def_binary64 |
| 371× | associate-*r*_binary64 |
| 359× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 1123 |
| 1 | 261 | 1103 |
| 2 | 944 | 1075 |
| 3 | 5159 | 1035 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 z x) |
(+.f64 (/.f64 z x) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 2) z) x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x))) (pow.f64 y 4))) (+.f64 (/.f64 z x) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 2) z) x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x))) (pow.f64 y 4))) (+.f64 (/.f64 z x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 1/720 (/.f64 z x)) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x)))) (*.f64 -1/5040 (/.f64 z x)))))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 2) z) x))))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1/36 (/.f64 x z)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x))) (pow.f64 x 2)) (pow.f64 z 2)))))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1/36 (/.f64 x z)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x))) (pow.f64 x 2)) (pow.f64 z 2)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x))) (pow.f64 x 2)) (pow.f64 z 2))) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -1/36 (/.f64 x z)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 z x)) (*.f64 -1/36 (/.f64 z x))) (pow.f64 x 2)) (pow.f64 z 2))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/720 (/.f64 z x)) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 (/.f64 z x)) (*.f64 -1/36 (/.f64 z x)))) (*.f64 -1/5040 (/.f64 z x)))) (pow.f64 x 2)) (pow.f64 z 2))))) (pow.f64 y 6))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
| Outputs |
|---|
(/.f64 z x) |
(+.f64 (/.f64 z x) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 2) z) x))) |
(+.f64 (/.f64 z x) (*.f64 1/6 (/.f64 (*.f64 y y) (/.f64 x z)))) |
(fma.f64 1/6 (*.f64 (/.f64 (*.f64 y y) x) z) (/.f64 z x)) |
(fma.f64 1/6 (*.f64 z (/.f64 y (/.f64 x y))) (/.f64 z x)) |
(fma.f64 1/6 (/.f64 z (/.f64 x (*.f64 y y))) (/.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x))) (pow.f64 y 4))) (+.f64 (/.f64 z x) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 2) z) x)))) |
(fma.f64 -1 (*.f64 (*.f64 (/.f64 z x) -7/360) (pow.f64 y 4)) (+.f64 (/.f64 z x) (*.f64 1/6 (/.f64 (*.f64 y y) (/.f64 x z))))) |
(-.f64 (fma.f64 1/6 (*.f64 (/.f64 (*.f64 y y) x) z) (/.f64 z x)) (*.f64 (/.f64 z x) (*.f64 -7/360 (pow.f64 y 4)))) |
(fma.f64 1/6 (*.f64 z (/.f64 y (/.f64 x y))) (fma.f64 (pow.f64 y 4) (*.f64 (/.f64 z x) 7/360) (/.f64 z x))) |
(fma.f64 1/6 (/.f64 z (/.f64 x (*.f64 y y))) (fma.f64 (pow.f64 y 4) (*.f64 (/.f64 z x) 7/360) (/.f64 z x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x))) (pow.f64 y 4))) (+.f64 (/.f64 z x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 1/720 (/.f64 z x)) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x)))) (*.f64 -1/5040 (/.f64 z x)))))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 2) z) x))))) |
(fma.f64 -1 (*.f64 (*.f64 (/.f64 z x) -7/360) (pow.f64 y 4)) (+.f64 (/.f64 z x) (fma.f64 -1 (*.f64 (pow.f64 y 6) (fma.f64 1/720 (/.f64 z x) (fma.f64 1/6 (*.f64 (/.f64 z x) -7/360) (*.f64 (/.f64 z x) -1/5040)))) (*.f64 1/6 (/.f64 (*.f64 y y) (/.f64 x z)))))) |
(+.f64 (-.f64 (*.f64 1/6 (*.f64 (/.f64 (*.f64 y y) x) z)) (*.f64 (pow.f64 y 6) (fma.f64 (/.f64 z x) 1/720 (fma.f64 (/.f64 z x) -1/5040 (*.f64 (/.f64 z x) -7/2160))))) (fma.f64 (neg.f64 (*.f64 (/.f64 z x) -7/360)) (pow.f64 y 4) (/.f64 z x))) |
(fma.f64 (pow.f64 y 4) (*.f64 (/.f64 z x) 7/360) (fma.f64 1/6 (*.f64 z (/.f64 y (/.f64 x y))) (-.f64 (/.f64 z x) (*.f64 (pow.f64 y 6) (fma.f64 (/.f64 z x) -7/2160 (*.f64 (/.f64 z x) 1/840)))))) |
(-.f64 (fma.f64 1/6 (/.f64 z (/.f64 x (*.f64 y y))) (fma.f64 (pow.f64 y 4) (*.f64 (/.f64 z x) 7/360) (/.f64 z x))) (*.f64 (pow.f64 y 6) (fma.f64 (/.f64 z x) -7/2160 (*.f64 (/.f64 z x) 1/840)))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) |
(*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 x y) (/.f64 z y)) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 x (/.f64 (*.f64 y y) z)) (/.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1/36 (/.f64 x z)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x))) (pow.f64 x 2)) (pow.f64 z 2)))))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(fma.f64 -1 (*.f64 (pow.f64 y 4) (fma.f64 -1/36 (/.f64 x z) (neg.f64 (/.f64 (*.f64 (/.f64 z x) -7/360) (/.f64 (*.f64 z z) (*.f64 x x)))))) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))) |
(-.f64 (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z)) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 -1/36 (/.f64 x z)) (*.f64 (/.f64 (*.f64 (/.f64 z x) -7/360) (*.f64 z z)) (*.f64 x x))))) |
(-.f64 (fma.f64 -1/6 (/.f64 (*.f64 x y) (/.f64 z y)) (/.f64 x z)) (*.f64 (pow.f64 y 4) (fma.f64 -1/36 (/.f64 x z) (/.f64 (*.f64 (/.f64 z x) 7/360) (*.f64 (/.f64 z x) (/.f64 z x)))))) |
(fma.f64 (pow.f64 y 4) (fma.f64 1 (/.f64 -7/360 (/.f64 z x)) (*.f64 (/.f64 x z) 1/36)) (fma.f64 -1/6 (*.f64 x (/.f64 (*.f64 y y) z)) (/.f64 x z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1/36 (/.f64 x z)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x))) (pow.f64 x 2)) (pow.f64 z 2)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 z x)) (*.f64 1/120 (/.f64 z x))) (pow.f64 x 2)) (pow.f64 z 2))) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -1/36 (/.f64 x z)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 z x)) (*.f64 -1/36 (/.f64 z x))) (pow.f64 x 2)) (pow.f64 z 2))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/720 (/.f64 z x)) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 (/.f64 z x)) (*.f64 -1/36 (/.f64 z x)))) (*.f64 -1/5040 (/.f64 z x)))) (pow.f64 x 2)) (pow.f64 z 2))))) (pow.f64 y 6))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(fma.f64 -1 (*.f64 (pow.f64 y 4) (fma.f64 -1/36 (/.f64 x z) (neg.f64 (/.f64 (*.f64 (/.f64 z x) -7/360) (/.f64 (*.f64 z z) (*.f64 x x)))))) (fma.f64 -1 (*.f64 (pow.f64 y 6) (fma.f64 1/6 (/.f64 (*.f64 (/.f64 z x) -7/360) (/.f64 (*.f64 z z) (*.f64 x x))) (fma.f64 -1/6 (fma.f64 -1/36 (/.f64 x z) (neg.f64 (/.f64 (*.f64 (/.f64 z x) -7/360) (/.f64 (*.f64 z z) (*.f64 x x))))) (neg.f64 (/.f64 (fma.f64 1/720 (/.f64 z x) (fma.f64 1/6 (*.f64 (/.f64 z x) -7/360) (*.f64 (/.f64 z x) -1/5040))) (/.f64 (*.f64 z z) (*.f64 x x))))))) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))) |
(-.f64 (-.f64 (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z)) (*.f64 (pow.f64 y 6) (+.f64 (/.f64 (*.f64 (/.f64 z x) -7/2160) (*.f64 (/.f64 z x) (/.f64 z x))) (-.f64 (+.f64 (/.f64 (*.f64 (/.f64 z x) -7/2160) (*.f64 (/.f64 z x) (/.f64 z x))) (*.f64 (/.f64 x z) 1/216)) (*.f64 (/.f64 (*.f64 x x) z) (/.f64 (fma.f64 (/.f64 z x) 1/720 (fma.f64 (/.f64 z x) -1/5040 (*.f64 (/.f64 z x) -7/2160))) z)))))) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 -1/36 (/.f64 x z)) (*.f64 (/.f64 (*.f64 (/.f64 z x) -7/360) (*.f64 z z)) (*.f64 x x))))) |
(-.f64 (fma.f64 -1/6 (/.f64 (*.f64 x y) (/.f64 z y)) (/.f64 x z)) (fma.f64 (pow.f64 y 4) (fma.f64 -1/36 (/.f64 x z) (/.f64 (*.f64 (/.f64 z x) 7/360) (*.f64 (/.f64 z x) (/.f64 z x)))) (*.f64 (pow.f64 y 6) (+.f64 (*.f64 (/.f64 (/.f64 z x) (/.f64 z x)) (/.f64 -7/2160 (/.f64 z x))) (-.f64 (fma.f64 (/.f64 x z) 1/216 (*.f64 (/.f64 (/.f64 z x) (/.f64 z x)) (/.f64 -7/2160 (/.f64 z x)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 z x) -7/2160 (*.f64 (/.f64 z x) 1/840)) (*.f64 z z)))))))) |
(fma.f64 (pow.f64 y 6) (-.f64 (*.f64 (/.f64 x (/.f64 z x)) (/.f64 (fma.f64 (/.f64 z x) -7/2160 (*.f64 (/.f64 z x) 1/840)) z)) (+.f64 (*.f64 1 (/.f64 -7/2160 (/.f64 z x))) (fma.f64 (/.f64 x z) 1/216 (*.f64 1 (/.f64 -7/2160 (/.f64 z x)))))) (fma.f64 (pow.f64 y 4) (fma.f64 1 (/.f64 -7/360 (/.f64 z x)) (*.f64 (/.f64 x z) 1/36)) (fma.f64 -1/6 (*.f64 x (/.f64 (*.f64 y y) z)) (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
Compiled 9475 to 3436 computations (63.7% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 668 | 5 | 673 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 3 | 6 |
| Total | 674 | 9 | 683 |
| Status | Error | Program |
|---|---|---|
| ▶ | 25.7b | (pow.f64 (/.f64 z x) -1) |
| 8.7b | (/.f64 (sin.f64 y) (*.f64 y (/.f64 z x))) | |
| ▶ | 3.0b | (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) |
| ▶ | 11.2b | (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
| ▶ | 34.4b | (/.f64 (/.f64 (*.f64 y x) z) y) |
| ✓ | 25.4b | (/.f64 x z) |
| ✓ | 3.4b | (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
| ✓ | 7.5b | (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
| ▶ | 25.5b | (*.f64 x (/.f64 1 z)) |
Compiled 146 to 96 computations (34.2% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.9b | (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) | |
| 0.1b | (/.f64 (sin.f64 y) y) | |
| 0.1b | (/.f64 z (/.f64 (sin.f64 y) y)) | |
| ✓ | 0.1b | (/.f64 z (/.f64 (sin.f64 y) y)) |
| 0.1b | (/.f64 (sin.f64 y) y) | |
| ✓ | 2.9b | (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) |
Compiled 26 to 7 computations (73.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 z (/.f64 (sin.f64 y) y)) |
| 1.0ms | y | @ | 0 | (/.f64 z (/.f64 (sin.f64 y) y)) |
| 1.0ms | y | @ | inf | (/.f64 z (/.f64 (sin.f64 y) y)) |
| 0.0ms | z | @ | 0 | (/.f64 z (/.f64 (sin.f64 y) y)) |
| 0.0ms | z | @ | -inf | (/.f64 z (/.f64 (sin.f64 y) y)) |
| 1× | batch-egg-rewrite |
| 574× | log-prod_binary64 |
| 449× | exp-prod_binary64 |
| 299× | pow-prod-down_binary64 |
| 249× | pow2_binary64 |
| 222× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 178 | 21 |
| 2 | 2755 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) |
(/.f64 z (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 z y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 z y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))))))) (#(struct:change 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y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 z y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z y) (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 499× | associate-+l+_binary64 |
| 433× | cancel-sign-sub-inv_binary64 |
| 383× | fma-neg_binary64 |
| 360× | associate-+r+_binary64 |
| 288× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 744 |
| 1 | 163 | 736 |
| 2 | 562 | 728 |
| 3 | 2365 | 722 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
z |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z)))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/5040 z) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (*.f64 1/720 z))))) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))))))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(fma.f64 1/120 (/.f64 (*.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z))) |
(fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))) |
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))) |
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (/.f64 x z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (*.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))) |
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z)))) |
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
z |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 1/6 (*.f64 z (*.f64 y y)) z) |
(fma.f64 1/6 (*.f64 y (*.f64 y z)) z) |
(fma.f64 z (*.f64 (*.f64 y y) 1/6) z) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z)))))) |
(fma.f64 1/6 (*.f64 z (*.f64 y y)) (+.f64 z (neg.f64 (*.f64 (pow.f64 y 4) (*.f64 z -7/360))))) |
(-.f64 (fma.f64 1/6 (*.f64 y (*.f64 y z)) z) (*.f64 (pow.f64 y 4) (*.f64 z -7/360))) |
(fma.f64 z (*.f64 (*.f64 y y) 1/6) (fma.f64 (pow.f64 y 4) (*.f64 z 7/360) z)) |
(*.f64 z (-.f64 (fma.f64 (*.f64 y y) 1/6 1) (*.f64 (pow.f64 y 4) -7/360))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/5040 z) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (*.f64 1/720 z))))) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))))))) |
(fma.f64 1/6 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 (pow.f64 y 6) (fma.f64 -1/5040 z (fma.f64 1/6 (*.f64 z -7/360) (*.f64 z 1/720)))) (+.f64 z (neg.f64 (*.f64 (pow.f64 y 4) (*.f64 z -7/360)))))) |
(fma.f64 1/6 (*.f64 y (*.f64 y z)) (-.f64 (-.f64 z (*.f64 (pow.f64 y 4) (*.f64 z -7/360))) (*.f64 (pow.f64 y 6) (fma.f64 z -1/5040 (fma.f64 z 1/720 (*.f64 z -7/2160)))))) |
(-.f64 (fma.f64 z (*.f64 (*.f64 y y) 1/6) (fma.f64 (pow.f64 y 4) (*.f64 z 7/360) z)) (*.f64 (pow.f64 y 6) (fma.f64 z -1/5040 (*.f64 z -1/540)))) |
(-.f64 (*.f64 z (-.f64 (fma.f64 (*.f64 y y) 1/6 1) (*.f64 (pow.f64 y 4) -7/360))) (*.f64 (pow.f64 y 6) (*.f64 z -31/15120))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 y z) (sin.f64 y)) |
(/.f64 y (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 x (/.f64 1 z)) | |
| ✓ | 0.2b | (*.f64 x (/.f64 1 z)) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x (/.f64 1 z)) |
| 0.0ms | x | @ | -inf | (*.f64 x (/.f64 1 z)) |
| 0.0ms | x | @ | inf | (*.f64 x (/.f64 1 z)) |
| 0.0ms | z | @ | -inf | (*.f64 x (/.f64 1 z)) |
| 0.0ms | z | @ | 0 | (*.f64 x (/.f64 1 z)) |
| 1× | batch-egg-rewrite |
| 537× | pow1_binary64 |
| 514× | add-sqr-sqrt_binary64 |
| 495× | add-log-exp_binary64 |
| 495× | log1p-expm1-u_binary64 |
| 495× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 4 |
| 1 | 120 | 4 |
| 2 | 1424 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 1 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 z (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 z (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x z))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
| Outputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 11.6b | (/.f64 (/.f64 (*.f64 y x) z) y) | |
| 6.0b | (/.f64 (*.f64 y x) z) | |
| ✓ | 6.0b | (/.f64 (*.f64 y x) z) |
| ✓ | 11.6b | (/.f64 (/.f64 (*.f64 y x) z) y) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 y x) z) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 y x) z) |
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 (*.f64 y x) z) y) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 y x) z) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 y x) z) |
| 1× | batch-egg-rewrite |
| 966× | pow1_binary64 |
| 899× | add-log-exp_binary64 |
| 899× | log1p-expm1-u_binary64 |
| 899× | expm1-log1p-u_binary64 |
| 80× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 153 | 17 |
| 2 | 2325 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 y x) z) y) |
(/.f64 (*.f64 y x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (*.f64 y z) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (*.f64 (/.f64 1 z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y z) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 (*.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (/.f64 (*.f64 y z) x))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (*.f64 y z) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (*.f64 y z) x))) 2) (cbrt.f64 (/.f64 y (/.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) (*.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (/.f64 (*.f64 y z) x))) (sqrt.f64 (/.f64 y (/.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (/.f64 z x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) y) (/.f64 (cbrt.f64 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) y) (/.f64 (sqrt.f64 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y x) 1) (/.f64 (/.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (/.f64 y z) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 y (/.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (/.f64 (/.f64 1 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (/.f64 y z) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 (*.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 (*.f64 y z) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 (*.f64 y z) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 (*.f64 y z) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z (*.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 y z) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 (*.f64 y z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (/.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 (*.f64 y z) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 (*.f64 y z) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 2) (cbrt.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) (sqrt.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (*.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y z) x))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 144 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
| Outputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (pow.f64 (/.f64 z x) -1) | |
| ✓ | 0.4b | (pow.f64 (/.f64 z x) -1) |
Compiled 14 to 7 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (pow.f64 (/.f64 z x) -1) |
| 1.0ms | z | @ | 0 | (pow.f64 (/.f64 z x) -1) |
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 z x) -1) |
| 1.0ms | z | @ | inf | (pow.f64 (/.f64 z x) -1) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 z x) -1) |
| 1× | batch-egg-rewrite |
| 616× | pow1_binary64 |
| 574× | add-log-exp_binary64 |
| 574× | log1p-expm1-u_binary64 |
| 574× | expm1-log1p-u_binary64 |
| 560× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 126 | 4 |
| 2 | 1581 | 4 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 z x) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (pow.f64 (/.f64 z x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 z x) -2)) (cbrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 z x)) -1) (pow.f64 (sqrt.f64 (/.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 z x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 z (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 z (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 z) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (cbrt.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x z))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
| Outputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 8.5b | (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) | |
| 2.6b | (*.f64 (/.f64 (sin.f64 y) z) x) | |
| 0.1b | (/.f64 (sin.f64 y) z) | |
| ✓ | 0.1b | (/.f64 (sin.f64 y) z) |
| ✓ | 2.6b | (*.f64 (/.f64 (sin.f64 y) z) x) |
| ✓ | 8.5b | (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
Compiled 26 to 7 computations (73.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | -inf | (/.f64 (sin.f64 y) z) |
| 0.0ms | y | @ | 0 | (/.f64 (sin.f64 y) z) |
| 0.0ms | z | @ | 0 | (/.f64 (sin.f64 y) z) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 (sin.f64 y) z) x) |
| 0.0ms | y | @ | -inf | (/.f64 (sin.f64 y) z) |
| 1× | batch-egg-rewrite |
| 519× | log-prod_binary64 |
| 396× | exp-prod_binary64 |
| 375× | prod-exp_binary64 |
| 323× | pow-prod-down_binary64 |
| 242× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 172 | 27 |
| 2 | 2509 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(*.f64 (/.f64 (sin.f64 y) z) x) |
(/.f64 (sin.f64 y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (sin.f64 y) z) y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (sin.f64 y) z) y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (sin.f64 y) z) y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (sin.f64 y) z) y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 (sin.f64 y) z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 z (sin.f64 y)) (/.f64 y x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 z (sin.f64 y)) (/.f64 y x)) -2)) (cbrt.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) (sqrt.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (/.f64 1 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(sin.f64 y) z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (sin.f64 y)) (/.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) z)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) z)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 (sin.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) z) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 y) x)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 y) z)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) z) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 2) (cbrt.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (sin.f64 y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1/2) (/.f64 (sin.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (sin.f64 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) z)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 y) z) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (sin.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (neg.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 z)) (*.f64 (log.f64 (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) z))))))) |
| 1× | egg-herbie |
| 566× | associate-/l*_binary64 |
| 559× | associate-*l/_binary64 |
| 488× | *-commutative_binary64 |
| 353× | distribute-lft-out_binary64 |
| 350× | associate-+l+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 954 |
| 1 | 171 | 952 |
| 2 | 464 | 948 |
| 3 | 1307 | 938 |
| 4 | 3564 | 930 |
| 5 | 5569 | 930 |
| 6 | 6470 | 930 |
| 7 | 6911 | 930 |
| 8 | 7419 | 930 |
| 9 | 7881 | 930 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 y x) z) |
(+.f64 (/.f64 (*.f64 y x) z) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z))) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)) (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z)))) |
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z)) (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 7) x) z))))) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 y z) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z)) |
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z)))) |
| Outputs |
|---|
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)) |
(fma.f64 (/.f64 y (/.f64 z y)) (*.f64 x -1/6) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 (*.f64 x y) (/.f64 y z)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z))) |
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z))) |
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z))) |
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(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 y z) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z)) |
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z)) |
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z))) |
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (fma.f64 (/.f64 1/120 z) (pow.f64 y 5) (/.f64 y z))) |
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (/.f64 y z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z)))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 y 7) z) (fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z)))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/5040 (/.f64 (pow.f64 y 7) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z)))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (fma.f64 (/.f64 -1/5040 z) (pow.f64 y 7) (/.f64 y z)))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 (/.f64 -1/5040 z) (pow.f64 y 7) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z)))) |
Compiled 6705 to 2479 computations (63% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 511 | 10 | 521 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 5 | 7 |
| Total | 513 | 17 | 530 |
| Status | Error | Program |
|---|---|---|
| ▶ | 25.5b | (/.f64 (/.f64 1 z) (/.f64 1 x)) |
| 32.0b | (*.f64 (*.f64 y x) (*.f64 (/.f64 1 z) (/.f64 1 y))) | |
| ▶ | 8.7b | (/.f64 (sin.f64 y) (*.f64 y (/.f64 z x))) |
| 31.7b | (*.f64 (*.f64 y x) (/.f64 1 (*.f64 y z))) | |
| ✓ | 3.0b | (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) |
| ▶ | 25.7b | (/.f64 1 (/.f64 z x)) |
| ✓ | 11.2b | (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
| ▶ | 34.6b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) |
| 28.2b | (*.f64 1 (/.f64 y (/.f64 (*.f64 y z) x))) | |
| 31.9b | (*.f64 (/.f64 (neg.f64 y) (/.f64 z x)) (/.f64 1 (neg.f64 y))) | |
| ✓ | 25.4b | (/.f64 x z) |
| ✓ | 3.4b | (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
| ✓ | 7.5b | (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
| 34.5b | (/.f64 (*.f64 (/.f64 y z) x) y) | |
| ▶ | 34.7b | (*.f64 (/.f64 x y) (/.f64 y z)) |
| 32.0b | (-.f64 (+.f64 1 (/.f64 x z)) 1) | |
| ✓ | 25.5b | (*.f64 x (/.f64 1 z)) |
Compiled 304 to 206 computations (32.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.2b | (/.f64 (sin.f64 y) (*.f64 y (/.f64 z x))) | |
| 6.0b | (*.f64 y (/.f64 z x)) | |
| ✓ | 6.0b | (*.f64 y (/.f64 z x)) |
| ✓ | 6.2b | (/.f64 (sin.f64 y) (*.f64 y (/.f64 z x))) |
Compiled 24 to 7 computations (70.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (*.f64 y (/.f64 z x)) |
| 0.0ms | z | @ | -inf | (*.f64 y (/.f64 z x)) |
| 0.0ms | x | @ | 0 | (*.f64 y (/.f64 z x)) |
| 0.0ms | z | @ | 0 | (*.f64 y (/.f64 z x)) |
| 0.0ms | x | @ | -inf | (*.f64 y (/.f64 z x)) |
| 1× | batch-egg-rewrite |
| 520× | log-prod_binary64 |
| 399× | exp-prod_binary64 |
| 359× | prod-exp_binary64 |
| 303× | pow-prod-down_binary64 |
| 242× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 172 | 19 |
| 2 | 2498 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x))) |
(*.f64 y (/.f64 z x)) |
| Outputs |
|---|
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(sin.f64 y) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (*.f64 y (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 (*.f64 y (/.f64 z x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 (*.f64 y (/.f64 z x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (sin.f64 y) y)) (*.f64 (log.f64 (/.f64 z x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 x z) y)) (*.f64 (log.f64 (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 z x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (/.f64 z x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (/.f64 z x))))) (sqrt.f64 (log.f64 (*.f64 y (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (/.f64 z x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 z x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y z)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (/.f64 z x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (/.f64 z x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 z x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 z x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 z x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 z x)))))))) |
| 1× | egg-herbie |
| 751× | associate-/r/_binary64 |
| 680× | fma-def_binary64 |
| 467× | associate-/l/_binary64 |
| 442× | associate-*r/_binary64 |
| 392× | times-frac_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 730 |
| 1 | 76 | 730 |
| 2 | 204 | 730 |
| 3 | 579 | 730 |
| 4 | 2498 | 724 |
| 5 | 5814 | 720 |
| 6 | 6624 | 720 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
(/.f64 (*.f64 y z) x) |
| Outputs |
|---|
(/.f64 x z) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)) |
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)) |
(fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (/.f64 x z)) |
(fma.f64 x (*.f64 -1/6 (*.f64 (/.f64 y z) y)) (/.f64 x z)) |
(fma.f64 (/.f64 x z) (*.f64 -1/6 (*.f64 y y)) (/.f64 x z)) |
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))) |
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))) |
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))) |
(fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z))) |
(fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 1/120 z) (pow.f64 y 4))) (/.f64 x z)) |
(fma.f64 x (*.f64 (/.f64 y z) (+.f64 (*.f64 1/120 (pow.f64 y 3)) (*.f64 -1/6 y))) (/.f64 x z)) |
(fma.f64 x (*.f64 (*.f64 (/.f64 y z) y) (+.f64 -1/6 (*.f64 (*.f64 y y) 1/120))) (/.f64 x z)) |
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))) |
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)))) |
(fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (fma.f64 (/.f64 (pow.f64 y 6) z) (*.f64 x -1/5040) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))) |
(fma.f64 x (*.f64 (/.f64 1/120 z) (pow.f64 y 4)) (fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z))) (/.f64 x z))) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 -1/6 (*.f64 y y)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6)))))) |
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 -1/6 (*.f64 y y)))))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y z) x) |
(/.f64 y (/.f64 x z)) |
(*.f64 z (/.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 1 (/.f64 z x)) | |
| ✓ | 0.4b | (/.f64 1 (/.f64 z x)) |
Compiled 14 to 7 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 1 (/.f64 z x)) |
| 0.0ms | z | @ | inf | (/.f64 1 (/.f64 z x)) |
| 0.0ms | z | @ | -inf | (/.f64 1 (/.f64 z x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 z x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 z x)) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 571× | add-log-exp_binary64 |
| 571× | log1p-expm1-u_binary64 |
| 571× | expm1-log1p-u_binary64 |
| 557× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 125 | 4 |
| 2 | 1607 | 4 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 z x)) -1) (pow.f64 (sqrt.f64 (/.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x z))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
| Outputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 18.7b | (*.f64 (/.f64 x y) (/.f64 y z)) | |
| ✓ | 18.7b | (*.f64 (/.f64 x y) (/.f64 y z)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 x y) (/.f64 y z)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (/.f64 y z)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x y) (/.f64 y z)) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 x y) (/.f64 y z)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 x y) (/.f64 y z)) |
| 1× | batch-egg-rewrite |
| 961× | pow1_binary64 |
| 893× | add-log-exp_binary64 |
| 893× | log1p-expm1-u_binary64 |
| 893× | expm1-log1p-u_binary64 |
| 81× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 155 | 10 |
| 2 | 2328 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (/.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 z y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (/.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 z y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y z) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (/.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (/.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 z y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 z y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x y)) (neg.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (/.f64 z y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (/.f64 x y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (*.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (/.f64 z y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (/.f64 z y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (/.f64 z y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 x y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (/.f64 x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y z) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y z)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (/.f64 y z)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 144 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
| Outputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 (/.f64 1 z) (/.f64 1 x)) | |
| ✓ | 0.3b | (/.f64 (/.f64 1 z) (/.f64 1 x)) |
Compiled 19 to 13 computations (31.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 (/.f64 1 z) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 z) (/.f64 1 x)) |
| 0.0ms | z | @ | inf | (/.f64 (/.f64 1 z) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 z) (/.f64 1 x)) |
| 0.0ms | z | @ | -inf | (/.f64 (/.f64 1 z) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 723× | pow1_binary64 |
| 668× | add-log-exp_binary64 |
| 668× | log1p-expm1-u_binary64 |
| 668× | expm1-log1p-u_binary64 |
| 651× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 151 | 4 |
| 2 | 1988 | 4 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 z) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cbrt.f64 (/.f64 1 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1/2) (*.f64 (pow.f64 z -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 z)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 z -1/2) 1) (/.f64 (pow.f64 z -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 z) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 z -1/2) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 z) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 z)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 z) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 z) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (/.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x z))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
| Outputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 11.6b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) | |
| 6.4b | (*.f64 (/.f64 y z) x) | |
| ✓ | 6.4b | (*.f64 (/.f64 y z) x) |
| ✓ | 11.6b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) |
Compiled 27 to 11 computations (59.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | y | @ | -inf | (*.f64 (/.f64 y z) x) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 y z) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) |
| 1× | batch-egg-rewrite |
| 984× | pow1_binary64 |
| 910× | add-log-exp_binary64 |
| 910× | log1p-expm1-u_binary64 |
| 910× | expm1-log1p-u_binary64 |
| 92× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 186 | 17 |
| 2 | 2479 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 y z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2) (/.f64 y (cbrt.f64 (*.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (/.f64 y (sqrt.f64 (*.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (/.f64 x z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y x)) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y x) 1) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y x) -1) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 x z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 x z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 x z)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y (/.f64 x z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y x) (/.f64 1 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (*.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (/.f64 x z)) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (/.f64 y z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 y z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 y z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 y z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 y z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 y z) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (/.f64 y z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 y z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y (/.f64 x z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) (pow.f64 (/.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (/.f64 y z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (/.f64 y z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 y z) y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 396 |
| 1 | 10 | 396 |
| 2 | 14 | 396 |
| 3 | 16 | 396 |
| 4 | 17 | 396 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
| Outputs |
|---|
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
Compiled 3261 to 1186 computations (63.6% saved)
22 alts after pruning (11 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 292 | 8 | 300 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 295 | 22 | 317 |
| Status | Error | Program |
|---|---|---|
| 34.0b | (/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x))) | |
| ✓ | 25.4b | (/.f64 x z) |
| ✓ | 7.5b | (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
| 34.1b | (/.f64 (/.f64 y z) (/.f64 y x)) | |
| ✓ | 25.5b | (/.f64 (/.f64 1 z) (/.f64 1 x)) |
| 32.0b | (*.f64 (*.f64 y x) (*.f64 (/.f64 1 z) (/.f64 1 y))) | |
| 29.8b | (/.f64 y (*.f64 z (/.f64 y x))) | |
| ✓ | 8.7b | (/.f64 (sin.f64 y) (*.f64 y (/.f64 z x))) |
| 27.2b | (/.f64 x (/.f64 (*.f64 y z) y)) | |
| ✓ | 3.0b | (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) |
| ✓ | 25.7b | (/.f64 1 (/.f64 z x)) |
| ✓ | 11.2b | (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
| 30.3b | (/.f64 (*.f64 y (/.f64 x y)) z) | |
| ✓ | 34.7b | (*.f64 (/.f64 x y) (/.f64 y z)) |
| ✓ | 34.6b | (*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) |
| 28.2b | (*.f64 1 (/.f64 y (/.f64 (*.f64 y z) x))) | |
| ✓ | 3.4b | (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
| 34.6b | (/.f64 (/.f64 x y) (/.f64 z y)) | |
| 32.0b | (-.f64 (+.f64 1 (/.f64 x z)) 1) | |
| ✓ | 25.5b | (*.f64 x (/.f64 1 z)) |
| 31.9b | (*.f64 (/.f64 1 y) (/.f64 y (/.f64 z x))) | |
| 30.6b | (/.f64 (*.f64 (/.f64 1 y) (*.f64 y x)) z) |
Compiled 231 to 153 computations (33.8% saved)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 x (/.f64 1 z)) |
(/.f64 1 (/.f64 z x)) |
(-.f64 (+.f64 1 (/.f64 x z)) 1) |
(/.f64 (/.f64 x y) (/.f64 z y)) |
(*.f64 (/.f64 x y) (/.f64 y z)) |
(/.f64 (*.f64 y (/.f64 x y)) z) |
(/.f64 x (/.f64 (*.f64 y z) y)) |
(/.f64 y (*.f64 z (/.f64 y x))) |
(/.f64 (/.f64 1 z) (/.f64 1 x)) |
(/.f64 (/.f64 y z) (/.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y x)) z) |
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 z x))) |
(*.f64 1 (/.f64 y (/.f64 (*.f64 y z) x))) |
(*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) |
(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x))) |
(*.f64 (*.f64 y x) (*.f64 (/.f64 1 z) (/.f64 1 y))) |
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) |
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x))) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
| Outputs |
|---|
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) |
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
5 calls:
| 40.0ms | (/.f64 (sin.f64 y) y) |
| 33.0ms | z |
| 30.0ms | y |
| 29.0ms | x |
| 24.0ms | (/.f64 (sin.f64 y) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
| 1.2b | 3 | y |
| 0.1b | 3 | z |
| 1.4b | 2 | (/.f64 (sin.f64 y) y) |
| 1.4b | 2 | (/.f64 (sin.f64 y) y) |
Compiled 194 to 92 computations (52.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 1.4271295308175622e-35 | 6.872814923408469e-34 |
| 70.0ms | -6.1167831214515234e+84 | -1.2207525597419654e+83 |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 x (/.f64 1 z)) |
(/.f64 1 (/.f64 z x)) |
(-.f64 (+.f64 1 (/.f64 x z)) 1) |
(/.f64 (/.f64 x y) (/.f64 z y)) |
(*.f64 (/.f64 x y) (/.f64 y z)) |
(/.f64 (*.f64 y (/.f64 x y)) z) |
(/.f64 x (/.f64 (*.f64 y z) y)) |
(/.f64 y (*.f64 z (/.f64 y x))) |
(/.f64 (/.f64 1 z) (/.f64 1 x)) |
(/.f64 (/.f64 y z) (/.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y x)) z) |
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 z x))) |
(*.f64 1 (/.f64 y (/.f64 (*.f64 y z) x))) |
(*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) |
(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x))) |
(*.f64 (*.f64 y x) (*.f64 (/.f64 1 z) (/.f64 1 y))) |
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
3 calls:
| 33.0ms | y |
| 27.0ms | z |
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.2b | 3 | x |
| 1.1b | 4 | y |
| 1.3b | 3 | z |
Compiled 156 to 75 computations (51.9% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 5.203095792875711e+279 | 3.667145688688613e+280 |
| 64.0ms | 3.280112480842387e+187 | 5.058112533563827e+193 |
| 48.0ms | -1.5207451143436993e+94 | -6.91086837462025e+89 |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 x (/.f64 1 z)) |
(/.f64 1 (/.f64 z x)) |
(-.f64 (+.f64 1 (/.f64 x z)) 1) |
(/.f64 (/.f64 x y) (/.f64 z y)) |
(*.f64 (/.f64 x y) (/.f64 y z)) |
(/.f64 (*.f64 y (/.f64 x y)) z) |
(/.f64 x (/.f64 (*.f64 y z) y)) |
(/.f64 y (*.f64 z (/.f64 y x))) |
(/.f64 (/.f64 1 z) (/.f64 1 x)) |
(/.f64 (/.f64 y z) (/.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y x)) z) |
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 z x))) |
(*.f64 1 (/.f64 y (/.f64 (*.f64 y z) x))) |
(*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) |
(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x))) |
(*.f64 (*.f64 y x) (*.f64 (/.f64 1 z) (/.f64 1 y))) |
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
| Outputs |
|---|
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
3 calls:
| 9.0ms | z |
| 9.0ms | y |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 3.4b | 1 | x |
| 3.4b | 1 | y |
| 3.4b | 1 | z |
Compiled 148 to 72 computations (51.4% saved)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 x (/.f64 1 z)) |
(/.f64 1 (/.f64 z x)) |
(-.f64 (+.f64 1 (/.f64 x z)) 1) |
(/.f64 (/.f64 x y) (/.f64 z y)) |
(*.f64 (/.f64 x y) (/.f64 y z)) |
(/.f64 (*.f64 y (/.f64 x y)) z) |
(/.f64 x (/.f64 (*.f64 y z) y)) |
(/.f64 y (*.f64 z (/.f64 y x))) |
(/.f64 (/.f64 1 z) (/.f64 1 x)) |
(/.f64 (/.f64 y z) (/.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y x)) z) |
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 z x))) |
(*.f64 1 (/.f64 y (/.f64 (*.f64 y z) x))) |
(*.f64 (/.f64 1 y) (*.f64 (/.f64 y z) x)) |
(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x))) |
(*.f64 (*.f64 y x) (*.f64 (/.f64 1 z) (/.f64 1 y))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 x z)) 1) |
(/.f64 x z) |
(-.f64 (+.f64 1 (/.f64 x z)) 1) |
3 calls:
| 49.0ms | z |
| 23.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.1b | 3 | x |
| 20.0b | 3 | y |
| 22.1b | 3 | z |
Compiled 140 to 68 computations (51.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 4.124772970954186e+32 | 7.963317179639836e+39 |
| 68.0ms | -2.9169602329250606e+30 | -6.316853551608497e+29 |
Compiled 17 to 12 computations (29.4% saved)
Total -0.4b remaining (-1.5%)
Threshold costs -0.4b (-1.5%)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 x (/.f64 1 z)) |
(/.f64 1 (/.f64 z x)) |
| Outputs |
|---|
(/.f64 x z) |
3 calls:
| 28.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 25.4b | 1 | x |
| 25.4b | 1 | y |
| 25.4b | 1 | z |
Compiled 28 to 19 computations (32.1% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 166 |
| 1 | 47 | 166 |
| 2 | 48 | 166 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -6116783121451523439976854521640871581533528925843185879815731530246178692119377477632) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 x 5339525493691265/374144419156711147060143317175368453031918731001856) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))) |
(if (<=.f64 y -15207451143436993046701465740771860591008785792967655643623591766938280961913197854899700760576) (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) (if (<=.f64 y 32801124808423868371403411705758725882923167749186845845176380073782293804070328426469368269803226692814819109053245283701893382762228249259953102934228743204560194293931329415805130506240) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 y 5203095792875710568981105511967728857937773341212485131006992330721796975319020954286308075786738226684426283560881952822455313340604009563916391492962495199948515826866412944010109331422557260464299799833052808083824066743124377902821149707321044791310145723934085668769162592256) (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))) |
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
(if (<=.f64 y -2916960232925060566237417832448) (-.f64 (+.f64 1 (/.f64 x z)) 1) (if (<=.f64 y 412477297095418622794241023148032) (/.f64 x z) (-.f64 (+.f64 1 (/.f64 x z)) 1))) |
(/.f64 x z) |
| Outputs |
|---|
(if (<=.f64 x -6116783121451523439976854521640871581533528925843185879815731530246178692119377477632) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 x 5339525493691265/374144419156711147060143317175368453031918731001856) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))) |
(if (<=.f64 y -15207451143436993046701465740771860591008785792967655643623591766938280961913197854899700760576) (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) (if (<=.f64 y 32801124808423868371403411705758725882923167749186845845176380073782293804070328426469368269803226692814819109053245283701893382762228249259953102934228743204560194293931329415805130506240) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 y 5203095792875710568981105511967728857937773341212485131006992330721796975319020954286308075786738226684426283560881952822455313340604009563916391492962495199948515826866412944010109331422557260464299799833052808083824066743124377902821149707321044791310145723934085668769162592256) (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))) |
(if (<=.f64 y -15207451143436993046701465740771860591008785792967655643623591766938280961913197854899700760576) (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) (if (<=.f64 y 32801124808423868371403411705758725882923167749186845845176380073782293804070328426469368269803226692814819109053245283701893382762228249259953102934228743204560194293931329415805130506240) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 y 5203095792875710568981105511967728857937773341212485131006992330721796975319020954286308075786738226684426283560881952822455313340604009563916391492962495199948515826866412944010109331422557260464299799833052808083824066743124377902821149707321044791310145723934085668769162592256) (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))) |
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) |
(if (<=.f64 y -2916960232925060566237417832448) (-.f64 (+.f64 1 (/.f64 x z)) 1) (if (<=.f64 y 412477297095418622794241023148032) (/.f64 x z) (-.f64 (+.f64 1 (/.f64 x z)) 1))) |
(if (<=.f64 y -2916960232925060566237417832448) (+.f64 (+.f64 1 (/.f64 x z)) -1) (if (<=.f64 y 412477297095418622794241023148032) (/.f64 x z) (+.f64 (+.f64 1 (/.f64 x z)) -1))) |
(/.f64 x z) |
| 1× | fuel |
Compiled 242 to 107 computations (55.8% saved)
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