Details

analyze650.0ms (14.3%)

Algorithm

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
68.8%	30.7%	0.5%	13
72.6%	26.4%	1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.1s (46.3%)

Results

817.0ms	5547×	body	128	valid
752.0ms	1416×	body	1024	valid
299.0ms	840×	body	512	valid
111.0ms	452×	body	256	valid
68.0ms	521×	body	128	invalid
15.0ms	49×	body	512	invalid
11.0ms	48×	body	256	invalid
6.0ms	13×	body	1024	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess16.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

54×	`associate-/l*_binary64`
47×	`*-commutative_binary64`
38×	`associate-/r/_binary64`
24×	`associate-*l/_binary64`
20×	`associate-/l/_binary64`

Iterations

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 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)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
10×	`associate-/r/_binary64`
6×	`associate-*l/_binary64`
5×	`associate-*r/_binary64`

Iterations

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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)))

prune6.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	8.1b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
▶	3.1b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 63 to 38 computations (39.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	3.0b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series16.0ms (0.3%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 (sin.f64 y) y)
2.0ms	x	@	0	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
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)
1.0ms	x	@	inf	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite71.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
242×	`pow2_binary64`
172×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	172	27
2	2511	27

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y))))) (pow.f64 (cbrt.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y))))) 2) (cbrt.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2) (.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (neg.f64 (/.f64 (sin.f64 y) y))) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (/.f64 x (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 y) y) 1) (/.f64 x z))))) (#(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 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1) (/.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y))))) 2)))) (#(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 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x 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Outputs

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(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 2)))) (#(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 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))))))))

((#(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)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) 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 (/.f64 1 (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 (/.f64 1 (sqrt.f64 y)) (/.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 (sin.f64 y) 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 (/.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 neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) 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 (sin.f64 y) 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 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 log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))) (#(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))) 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 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) -1)))) (#(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 cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))))) (#(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 log1p.f64 (expm1.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))))

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
620×	`associate-l_binary64`
538×	`cancel-sign-sub-inv_binary64`
405×	`associate-/l*_binary64`
366×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	790
1	144	783
2	426	765
3	1512	759

Stop Event

1×	node limit

Counts

180 → 141

Calls

Call 1

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 x z) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 6) 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 (+.f64 1 (.f64 1/120 (pow.f64 y 4))) (.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 1/120 (pow.f64 y 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(/.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 x (.f64 1/6 (.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x) (.f64 1/6 (.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) x)) (.f64 1/6 (.f64 (pow.f64 y 2) 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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 x z)
(-.f64 (/.f64 x z) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (/.f64 x z) (.f64 1/6 (/.f64 (.f64 x (*.f64 y y)) z)))
(+.f64 (/.f64 x z) (.f64 (.f64 (/.f64 (*.f64 y y) z) x) -1/6))
(fma.f64 (*.f64 x (/.f64 y (/.f64 z y))) -1/6 (/.f64 x z))
(fma.f64 (/.f64 x (/.f64 z (*.f64 y y))) -1/6 (/.f64 x z))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 x (.f64 y y)) z)))
(+.f64 (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (/.f64 x z)) (.f64 (.f64 (/.f64 (*.f64 y y) z) x) -1/6))
(fma.f64 (.f64 x (/.f64 y (/.f64 z y))) -1/6 (fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)))
(fma.f64 (/.f64 x (/.f64 z (.f64 y y))) -1/6 (fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z))))
(-.f64 (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (/.f64 x z)) (fma.f64 1/6 (/.f64 (.f64 x (.f64 y y)) z) (.f64 1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)))))
(-.f64 (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (/.f64 x z)) (fma.f64 1/6 (.f64 (/.f64 (.f64 y y) z) x) (*.f64 1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)))))
(+.f64 (fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)) (fma.f64 (.f64 x (/.f64 y (/.f64 z y))) -1/6 (.f64 (.f64 x (/.f64 (pow.f64 y 6) z)) -1/5040)))
(fma.f64 (/.f64 x (/.f64 z (.f64 y y))) -1/6 (fma.f64 (.f64 x (/.f64 (pow.f64 y 6) z)) -1/5040 (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) 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 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(-.f64 1 (.f64 (.f64 1/6 y) y))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 y -1/6) 1)
(-.f64 (+.f64 1 (.f64 1/120 (pow.f64 y 4))) (.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (-.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (*.f64 y y))))
(-.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (.f64 (.f64 1/6 y) y))
(fma.f64 (*.f64 y 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 (.f64 1/120 (pow.f64 y 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(-.f64 (+.f64 1 (.f64 1/120 (pow.f64 y 4))) (fma.f64 1/6 (.f64 y y) (*.f64 1/5040 (pow.f64 y 6))))
(-.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (fma.f64 1/5040 (pow.f64 y 6) (.f64 (.f64 1/6 y) y)))
(+.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 6) -1/5040)))
(fma.f64 (pow.f64 y 6) -1/5040 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/120 -1/6) 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 x (.f64 1/6 (.f64 (pow.f64 y 2) x)))
(+.f64 x (.f64 -1/6 (.f64 x (*.f64 y y))))
(+.f64 x (.f64 (.f64 y (*.f64 y x)) -1/6))
(.f64 (fma.f64 (.f64 y y) -1/6 1) x)
(.f64 (fma.f64 y (.f64 y -1/6) 1) x)
(-.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x) (.f64 1/6 (.f64 (pow.f64 y 2) x)))
(+.f64 (fma.f64 1/120 (.f64 x (pow.f64 y 4)) x) (.f64 -1/6 (.f64 x (.f64 y y))))
(+.f64 (.f64 (fma.f64 1/120 (pow.f64 y 4) 1) x) (.f64 (.f64 y (.f64 y x)) -1/6))
(.f64 x (fma.f64 (.f64 y 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 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) x)) (.f64 1/6 (.f64 (pow.f64 y 2) x))))
(-.f64 (fma.f64 1/120 (.f64 x (pow.f64 y 4)) x) (fma.f64 1/5040 (.f64 x (pow.f64 y 6)) (.f64 1/6 (.f64 x (*.f64 y y)))))
(-.f64 (.f64 (fma.f64 1/120 (pow.f64 y 4) 1) x) (.f64 x (fma.f64 1/5040 (pow.f64 y 6) (.f64 (.f64 1/6 y) y))))
(+.f64 x (.f64 x (fma.f64 1/120 (pow.f64 y 4) (fma.f64 (.f64 y y) -1/6 (*.f64 (pow.f64 y 6) -1/5040)))))
(.f64 x (fma.f64 (pow.f64 y 6) -1/5040 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/120 -1/6) 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))

prune122.0ms (2.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	133	8	141
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	135	8	143

Error

Counts

143 → 8

Alt Table

Status	Error	Program
	3.1b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	3.6b	(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)
	10.7b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
	3.2b	(.f64 (.f64 x (neg.f64 (/.f64 (sin.f64 y) y))) (/.f64 1 (neg.f64 z)))
	2.8b	(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
	12.9b	(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
	11.3b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
▶	2.7b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))

Compiler

Compiled 2092 to 863 computations (58.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	2.4b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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	z	@	-inf	(*.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))

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
178×	`pow1/3_binary64`
169×	`expm1-udef_binary64`
169×	`log1p-udef_binary64`
166×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	175	12
2	2591	12

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

Inputs
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y))))) (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (.f64 z (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (.f64 (/.f64 y (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (.f64 z y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (.f64 (/.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (.f64 y (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 z x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 z y) (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (.f64 (/.f64 x z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (sin.f64 y)) (.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x z) (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x (sin.f64 y))) (neg.f64 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x (/.f64 (sin.f64 y) y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (/.f64 x z) (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) (sin.f64 y)) (.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) 1) (.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) (.f64 (neg.f64 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sin.f64 y)) x) (.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sin.f64 y)) 1) (.f64 (neg.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (neg.f64 x)) (.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) (.f64 (neg.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 x z) (sin.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 x z) (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(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))) 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 (.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (/.f64 x z) 3)) 1/3)))) (#(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 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 cbrt.f64 (.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (/.f64 x z) 3)))))) (#(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 log1p.f64 (expm1.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))) (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 z (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z y) (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (/.f64 x z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 x z) (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (*.f64 (neg.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(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))) 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 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (/.f64 x z) 3)) 1/3)))) (#(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 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 cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (/.f64 x z) 3)))))) (#(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 log1p.f64 (expm1.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))))))

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-neg_binary64`
378×	`associate-r_binary64`
338×	`associate-l_binary64`
285×	`unswap-sqr_binary64`
248×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	484
1	85	484
2	242	480
3	755	478
4	3606	474

Stop Event

1×	node limit

Counts

100 → 73

Calls

Call 1

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 x z) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 6) 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 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 x z)
(-.f64 (/.f64 x z) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(+.f64 (/.f64 x z) (.f64 -1/6 (/.f64 (.f64 y y) (/.f64 z x))))
(+.f64 (/.f64 x z) (.f64 (.f64 (/.f64 (*.f64 y y) z) x) -1/6))
(fma.f64 (*.f64 x (/.f64 y (/.f64 z y))) -1/6 (/.f64 x z))
(fma.f64 (.f64 x (/.f64 (.f64 y y) z)) -1/6 (/.f64 x z))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(+.f64 (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (/.f64 x z)) (.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x))))
(-.f64 (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (/.f64 x z)) (.f64 1/6 (.f64 (/.f64 (.f64 y y) z) x)))
(fma.f64 (.f64 x (/.f64 y (/.f64 z y))) -1/6 (fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)))
(fma.f64 (.f64 x (/.f64 (.f64 y y) z)) -1/6 (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)))
(+.f64 (/.f64 x z) (.f64 x (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (.f64 -1/6 (/.f64 (*.f64 y y) z)))))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z))))
(-.f64 (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (/.f64 x z)) (fma.f64 1/6 (/.f64 (.f64 y y) (/.f64 z x)) (*.f64 1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)))))
(-.f64 (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (/.f64 x z)) (fma.f64 1/6 (.f64 (/.f64 (.f64 y y) z) x) (.f64 1/5040 (/.f64 x (/.f64 z (pow.f64 y 6))))))
(+.f64 (fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)) (fma.f64 (.f64 x (/.f64 y (/.f64 z y))) -1/6 (.f64 (.f64 x (/.f64 (pow.f64 y 6) z)) -1/5040)))
(fma.f64 (.f64 x (/.f64 (.f64 y y) z)) -1/6 (fma.f64 (/.f64 x (/.f64 z (pow.f64 y 6))) -1/5040 (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z))))
(fma.f64 x (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (.f64 -1/5040 (/.f64 (pow.f64 y 6) z))) (fma.f64 (.f64 x (/.f64 (*.f64 y y) z)) -1/6 (/.f64 x z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))

prune107.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	118	8	126

Error

Counts

126 → 8

Alt Table

Status	Error	Program
	3.1b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	3.6b	(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)
	10.7b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
	3.2b	(.f64 (.f64 x (neg.f64 (/.f64 (sin.f64 y) y))) (/.f64 1 (neg.f64 z)))
▶	2.8b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
	12.9b	(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
✓	2.7b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
	3.2b	(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))

Compiler

Compiled 1640 to 625 computations (61.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(*.f64 z (/.f64 y (sin.f64 y)))
✓	2.8b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))

series8.0ms (0.2%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 z (/.f64 y (sin.f64 y)))
1.0ms	y	@	0	(*.f64 z (/.f64 y (sin.f64 y)))
1.0ms	y	@	inf	(*.f64 z (/.f64 y (sin.f64 y)))
1.0ms	y	@	-inf	(/.f64 y (sin.f64 y))
1.0ms	y	@	inf	(/.f64 y (sin.f64 y))

rewrite54.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
242×	`pow2_binary64`
172×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	172	27
2	2498	27

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))

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 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))) (log.f64 (sqrt.f64 (exp.f64 (*.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 x (/.f64 (/.f64 (sin.f64 y) y) z))))) (#(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 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)))))) (#(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 x) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 z (neg.f64 (/.f64 y (sin.f64 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 (/.f64 (sin.f64 y) y) z) x)))) (#(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 1 z) (/.f64 x (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y))) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (sin.f64 y))) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 (*.f64 z y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (*.f64 z y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 2)) (/.f64 x (cbrt.f64 (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 z y) (sin.f64 y)))) (/.f64 x (sqrt.f64 (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (*.f64 z y) (sin.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) 1) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) (neg.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 x z)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 z (neg.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 z y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 y) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) (*.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z y) (sin.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) 1)))) (#(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 y (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 y) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (sin.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 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 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 y 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sin.f64 y))))))) (#(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 log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))))))

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-def_binary64`
571×	`fma-neg_binary64`
563×	`cancel-sign-sub-inv_binary64`
256×	`associate-/l*_binary64`
225×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	782
1	152	776
2	416	765
3	1332	759
4	3948	755

Stop Event

1×	node limit

Counts

181 → 142

Calls

Call 1

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 x z) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 6) 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 (.f64 7/360 (.f64 (pow.f64 y 4) z)) z))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 7/360 (.f64 (pow.f64 y 4) z)) (+.f64 z (.f64 31/15120 (.f64 (pow.f64 y 6) 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))
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 1/6 (pow.f64 y 2)) (+.f64 (.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6)))))

Outputs
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 x z)
(-.f64 (/.f64 x z) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(+.f64 (/.f64 x z) (.f64 -1/6 (/.f64 (.f64 x (*.f64 y y)) z)))
(-.f64 (/.f64 x z) (/.f64 (.f64 (.f64 1/6 y) y) (/.f64 z x)))
(fma.f64 (.f64 (/.f64 x z) (.f64 y y)) -1/6 (/.f64 x z))
(fma.f64 (/.f64 x (/.f64 z (*.f64 y y))) -1/6 (/.f64 x z))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(+.f64 (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (/.f64 x z)) (.f64 -1/6 (/.f64 (.f64 x (*.f64 y y)) z)))
(+.f64 (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (/.f64 x z)) (*.f64 (/.f64 y (/.f64 (/.f64 z x) y)) -1/6))
(fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 (.f64 (/.f64 x z) (*.f64 y y)) -1/6 (/.f64 x z)))
(+.f64 (/.f64 x z) (.f64 x (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 -1/6 (/.f64 z (.f64 y y))))))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z))))
(-.f64 (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (/.f64 x z)) (fma.f64 1/6 (/.f64 (.f64 x (.f64 y y)) z) (*.f64 1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)))))
(-.f64 (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (/.f64 x z)) (fma.f64 1/5040 (.f64 (/.f64 (pow.f64 y 6) z) x) (/.f64 (.f64 (*.f64 1/6 y) y) (/.f64 z x))))
(+.f64 (/.f64 x z) (fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 (.f64 (/.f64 x z) (.f64 y y)) -1/6 (.f64 (*.f64 x (/.f64 (pow.f64 y 6) z)) -1/5040))))
(fma.f64 (.f64 (/.f64 x z) (.f64 y y)) -1/6 (fma.f64 (/.f64 (pow.f64 y 6) (/.f64 z x)) -1/5040 (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z))))
(fma.f64 x (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (.f64 -1/5040 (/.f64 (pow.f64 y 6) z))) (fma.f64 (/.f64 x (/.f64 z (.f64 y y))) -1/6 (/.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 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (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 (.f64 (.f64 1/6 y) y) z z)
(fma.f64 z (.f64 y (.f64 y 1/6)) z)
(fma.f64 y (.f64 y (.f64 z 1/6)) z)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 7/360 (.f64 (pow.f64 y 4) z)) z))
(fma.f64 1/6 (.f64 z (.f64 y y)) (fma.f64 7/360 (*.f64 z (pow.f64 y 4)) z))
(+.f64 z (.f64 z (fma.f64 (pow.f64 y 4) 7/360 (.f64 (*.f64 1/6 y) y))))
(.f64 z (fma.f64 y (.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)))
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 7/360) 1/6) 1))
(fma.f64 z (fma.f64 y (.f64 y 1/6) (.f64 (pow.f64 y 4) 7/360)) z)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 7/360 (.f64 (pow.f64 y 4) z)) (+.f64 z (.f64 31/15120 (.f64 (pow.f64 y 6) z)))))
(fma.f64 1/6 (.f64 z (.f64 y y)) (fma.f64 7/360 (.f64 z (pow.f64 y 4)) (+.f64 z (.f64 31/15120 (*.f64 z (pow.f64 y 6))))))
(+.f64 (fma.f64 31/15120 (.f64 z (pow.f64 y 6)) z) (.f64 z (fma.f64 (pow.f64 y 4) 7/360 (.f64 (.f64 1/6 y) y))))
(+.f64 z (.f64 z (fma.f64 y (.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 (*.f64 (pow.f64 y 6) 31/15120)))))
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 7/360) 1/6) (fma.f64 (pow.f64 y 6) 31/15120 1)))
(fma.f64 z (fma.f64 y (.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 (.f64 (pow.f64 y 6) 31/15120))) z)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 y (/.f64 z (sin.f64 y)))
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 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 (.f64 1/6 y) y)))
(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 1/6 (pow.f64 y 2)) (+.f64 (.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 7/360 (pow.f64 y 4) (.f64 (pow.f64 y 6) 31/15120))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (fma.f64 (pow.f64 y 4) 7/360 (.f64 (pow.f64 y 6) 31/15120)))
(+.f64 1 (fma.f64 y (.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 (.f64 (pow.f64 y 6) 31/15120))))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 7/360) 1/6) (fma.f64 (pow.f64 y 6) 31/15120 1))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 (fma.f64 (pow.f64 y 6) 31/15120 1)))

prune137.0ms (3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	142	8	150

Error

Counts

150 → 8

Alt Table

Status	Error	Program
✓	2.8b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
	7.4b	(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
	3.1b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	3.6b	(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)
	10.7b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
▶	2.8b	(/.f64 x (*.f64 z (pow.f64 (/.f64 (sin.f64 y) y) -1)))
✓	2.7b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
	3.2b	(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))

Compiler

Compiled 2039 to 830 computations (59.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (pow.f64 (/.f64 (sin.f64 y) y) -1))
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) -1)
✓	2.8b	(/.f64 x (*.f64 z (pow.f64 (/.f64 (sin.f64 y) y) -1)))

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(pow.f64 (/.f64 (sin.f64 y) y) -1)
0.0ms	y	@	inf	(pow.f64 (/.f64 (sin.f64 y) y) -1)
0.0ms	x	@	0	(/.f64 x (*.f64 z (pow.f64 (/.f64 (sin.f64 y) y) -1)))
0.0ms	y	@	0	(pow.f64 (/.f64 (sin.f64 y) y) -1)
0.0ms	y	@	inf	(/.f64 x (*.f64 z (pow.f64 (/.f64 (sin.f64 y) y) -1)))

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
190×	`expm1-udef_binary64`
190×	`log1p-udef_binary64`
166×	`log-pow_binary64`
138×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	212	27
2	2870	27

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs
(/.f64 x (*.f64 z (pow.f64 (/.f64 (sin.f64 y) y) -1)))
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(*.f64 z (pow.f64 (/.f64 (sin.f64 y) y) -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))))) (#(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 (/.f64 (sin.f64 y) y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))) 2) (cbrt.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))) (sqrt.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 z (neg.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)))) (#(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 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (*.f64 z (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 z (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 x (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) z) (/.f64 (cbrt.f64 x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y))) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 y (sin.f64 y))) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y (sin.f64 y)))) 2)) (/.f64 x (cbrt.f64 (*.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y (sin.f64 y)))) 2)) (cbrt.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y (sin.f64 y)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 z (/.f64 y (sin.f64 y))))) (/.f64 x (sqrt.f64 (*.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 z (/.f64 y (sin.f64 y))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) 1) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 z (neg.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y (sin.f64 y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))) (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) -1) (pow.f64 (/.f64 1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) -1) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 y) y) 1))))) (#(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 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 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 y 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sin.f64 y))))))) (#(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 log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y)))) (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 y (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 y (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 y (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 y (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 y (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 y (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 y (sin.f64 y)))))))))

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-def_binary64`
571×	`fma-neg_binary64`
561×	`cancel-sign-sub-inv_binary64`
255×	`associate-/l*_binary64`
220×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	830
1	153	824
2	416	813
3	1331	807
4	3942	803

Stop Event

1×	node limit

Counts

180 → 133

Calls

Call 1

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 x z) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 6) 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))
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 1/6 (pow.f64 y 2)) (+.f64 (.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6)))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (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))
(/.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 (.f64 7/360 (.f64 (pow.f64 y 4) z)) z))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 7/360 (.f64 (pow.f64 y 4) z)) (+.f64 z (.f64 31/15120 (.f64 (pow.f64 y 6) 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 (sin.f64 y) y) (/.f64 x z))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y x)) z)
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(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y x)) z)
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y x)) z)
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
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(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
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(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
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(fma.f64 (*.f64 x (/.f64 y (/.f64 z y))) -1/6 (/.f64 x z))
(fma.f64 (.f64 (/.f64 x z) (.f64 y y)) -1/6 (/.f64 x z))
(fma.f64 (.f64 x (/.f64 (.f64 y y) z)) -1/6 (/.f64 x z))
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(fma.f64 (.f64 (/.f64 x z) (.f64 y y)) -1/6 (fma.f64 (/.f64 x (/.f64 z (pow.f64 y 6))) -1/5040 (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z))))
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1
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z
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(fma.f64 z (fma.f64 y (.f64 y 1/6) (.f64 (pow.f64 y 4) 7/360)) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) 7/360 1/6) 1))
(.f64 z (fma.f64 y (.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 7/360 (.f64 (pow.f64 y 4) z)) (+.f64 z (.f64 31/15120 (.f64 (pow.f64 y 6) z)))))
(fma.f64 1/6 (.f64 z (.f64 y y)) (fma.f64 7/360 (.f64 z (pow.f64 y 4)) (+.f64 z (.f64 (*.f64 (pow.f64 y 6) 31/15120) z))))
(+.f64 (fma.f64 31/15120 (.f64 z (pow.f64 y 6)) z) (.f64 z (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360))))
(+.f64 z (.f64 z (fma.f64 y (.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 (*.f64 (pow.f64 y 6) 31/15120)))))
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) 7/360 1/6) (fma.f64 (pow.f64 y 6) 31/15120 1)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(/.f64 z (/.f64 (sin.f64 y) y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(/.f64 z (/.f64 (sin.f64 y) y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(/.f64 z (/.f64 (sin.f64 y) y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(/.f64 z (/.f64 (sin.f64 y) y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(/.f64 z (/.f64 (sin.f64 y) y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(/.f64 z (/.f64 (sin.f64 y) y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(/.f64 z (/.f64 (sin.f64 y) y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(/.f64 z (/.f64 (sin.f64 y) y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))

prune121.0ms (2.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	178	8	186

Error

Counts

186 → 8

Alt Table

Status	Error	Program
✓	2.8b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
	7.4b	(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
	3.1b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	3.6b	(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)
	10.7b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
✓	2.8b	(/.f64 x (*.f64 z (pow.f64 (/.f64 (sin.f64 y) y) -1)))
✓	2.7b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
	3.2b	(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))

Compiler

Compiled 2622 to 1108 computations (57.7% saved)

regimes692.0ms (15.3%)

Accuracy

Total 0.3b remaining (94.6%)

Threshold costs 0.3b (94.6%)

Counts

77 → 3

Compiler

Compiled 830 to 288 computations (65.3% saved)

bsearch22.0ms (0.5%)

Algorithm

2×	binary-search

Calls

2 calls:

12.0ms	x
9.0ms	x

Steps

Iters	Point		Range
1e-70	∈ [	3.770051863104939e-73	,	2.7557816995781177e-70	]
-5e+32	∈ [	-3.96075132122748e+34	,	-1.7435289028147616e+31	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	48
1	21	48

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x -499999999999999972787615493521408) (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) (if (<=.f64 x 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))

Outputs

(if (<=.f64 x -499999999999999972787615493521408) (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) (if (<=.f64 x 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))

(if (<=.f64 x -499999999999999972787615493521408) (/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z) (if (<=.f64 x 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))

end99.0ms (2.2%)

Stop Event

1×

fuel

Compiler

Compiled 162 to 96 computations (40.7% saved)

Details

analyze650.0ms (14.3%)

sample2.1s (46.3%)

preprocess16.0ms (0.4%)

simplify7.0ms (0.1%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

series16.0ms (0.3%)

rewrite71.0ms (1.6%)

simplify35.0ms (0.8%)

prune122.0ms (2.7%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite49.0ms (1.1%)

simplify38.0ms (0.8%)

prune107.0ms (2.4%)

localize6.0ms (0.1%)

series8.0ms (0.2%)

rewrite54.0ms (1.2%)

simplify48.0ms (1.1%)

prune137.0ms (3%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite61.0ms (1.3%)

simplify45.0ms (1%)

prune121.0ms (2.7%)

regimes692.0ms (15.3%)

bsearch22.0ms (0.5%)

simplify2.0ms (0.1%)

end99.0ms (2.2%)

Profiling