Details

analyze722.0ms (18.7%)

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)

sample1.8s (47.5%)

Results

730.0ms	5590×	body	128	valid
610.0ms	1390×	body	1024	valid
259.0ms	812×	body	512	valid
110.0ms	461×	body	256	valid
70.0ms	535×	body	128	invalid
15.0ms	48×	body	512	invalid
11.0ms	43×	body	256	invalid
10.0ms	25×	body	1024	invalid
2.0ms	3×	body	2048	valid

preprocess21.0ms (0.6%)

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 (0.2%)

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)))

prune3.0ms (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
	7.3b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
▶	2.6b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 63 to 38 computations (39.7% saved)

localize6.0ms (0.2%)

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)
✓	2.5b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series19.0ms (0.5%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 (sin.f64 y) y)
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)

rewrite57.0ms (1.5%)

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

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

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-def_binary64`
697×	`distribute-rgt-out_binary64`
456×	`associate-l_binary64`
361×	`associate-r_binary64`
313×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	774
1	127	770
2	338	761
3	1033	759
4	4105	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 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

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

prune141.0ms (3.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	136	5	141
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	137	6	143

Error

Counts

143 → 6

Alt Table

Status	Error	Program
	2.6b	(.f64 x (/.f64 1 (.f64 z (/.f64 y (sin.f64 y)))))
	7.3b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
	3.5b	(/.f64 (.f64 x (.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))) z)
	2.7b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
▶	2.6b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
	3.4b	(.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))

Compiler

Compiled 2076 to 842 computations (59.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	2.5b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))

series6.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite73.0ms (1.9%)

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 expm1.f64 (log1p.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 x (/.f64 (.f64 z y) (sin.f64 y)))) 1))))))

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

simplify35.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

751×	`associate-/r/_binary64`
680×	`fma-def_binary64`
463×	`associate-/l/_binary64`
312×	`associate-r_binary64`
312×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	478
1	75	478
2	203	478
3	577	478
4	2495	472

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

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

prune114.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	118	6	124

Error

Counts

124 → 6

Alt Table

Status	Error	Program
	2.7b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
	2.6b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
	7.3b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
	3.5b	(/.f64 (.f64 x (.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))) z)
▶	2.5b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
✓	2.6b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))

Compiler

Compiled 1597 to 597 computations (62.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
✓	2.5b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series7.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite57.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log-prod_binary64`
181×	`log-div_binary64`
169×	`expm1-udef_binary64`
169×	`log1p-udef_binary64`
146×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	178	21
2	2755	21

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (1%)

Algorithm

1×	egg-herbie

Rules

433×	`cancel-sign-sub-inv_binary64`
383×	`fma-neg_binary64`
288×	`distribute-rgt-in_binary64`
251×	`fma-def_binary64`
220×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	744
1	163	736
2	562	728
3	2365	722

Stop Event

1×	node limit

Counts

156 → 113

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 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
z
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/120 z) (.f64 -1/36 z))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (+.f64 (.f64 -1/5040 z) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 z) (.f64 -1/36 z))) (.f64 1/720 z))))) (+.f64 z (.f64 -1 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/120 z) (*.f64 -1/36 z)))))))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))

Outputs
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (.f64 x (.f64 y y)) z) (/.f64 x z))
(fma.f64 -1/6 (.f64 (/.f64 (.f64 y y) z) x) (/.f64 x z))
(fma.f64 -1/6 (.f64 (/.f64 x z) (.f64 y y)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (.f64 x (*.f64 y y)) z) (/.f64 x z)))
(fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (.f64 (/.f64 (.f64 y y) z) x) (/.f64 x z)))
(fma.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)))
(fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/6 (/.f64 x (/.f64 z (.f64 y y))) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (.f64 x (*.f64 y y)) z) (/.f64 x z))))
(fma.f64 -1/5040 (.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))))
(fma.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (.f64 (/.f64 x z) (.f64 y y)) (/.f64 x z))))
(fma.f64 -1/5040 (.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
z
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 1/6 (.f64 z (.f64 y y)) z)
(fma.f64 1/6 (.f64 y (.f64 y z)) z)
(fma.f64 z (.f64 (.f64 y y) 1/6) z)
(.f64 z (fma.f64 (.f64 y y) 1/6 1))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/120 z) (.f64 -1/36 z))))))
(fma.f64 1/6 (.f64 z (.f64 y y)) (+.f64 z (neg.f64 (.f64 (pow.f64 y 4) (.f64 z -7/360)))))
(-.f64 (fma.f64 1/6 (.f64 y (.f64 y z)) z) (.f64 (pow.f64 y 4) (.f64 z -7/360)))
(fma.f64 z (.f64 (.f64 y y) 1/6) (fma.f64 (pow.f64 y 4) (*.f64 z 7/360) z))
(.f64 z (+.f64 (.f64 (pow.f64 y 4) 7/360) (fma.f64 (*.f64 y y) 1/6 1)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (+.f64 (.f64 -1/5040 z) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 z) (.f64 -1/36 z))) (.f64 1/720 z))))) (+.f64 z (.f64 -1 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/120 z) (*.f64 -1/36 z)))))))
(fma.f64 1/6 (.f64 z (.f64 y y)) (fma.f64 -1 (.f64 (pow.f64 y 6) (fma.f64 -1/5040 z (fma.f64 1/6 (.f64 z -7/360) (.f64 z 1/720)))) (+.f64 z (neg.f64 (.f64 (pow.f64 y 4) (*.f64 z -7/360))))))
(fma.f64 1/6 (.f64 y (.f64 y z)) (-.f64 (-.f64 z (.f64 (pow.f64 y 4) (.f64 z -7/360))) (.f64 (pow.f64 y 6) (fma.f64 z -1/5040 (fma.f64 z 1/720 (.f64 z -7/2160))))))
(-.f64 (fma.f64 z (.f64 (.f64 y y) 1/6) (fma.f64 (pow.f64 y 4) (.f64 z 7/360) z)) (.f64 (pow.f64 y 6) (fma.f64 z -1/5040 (*.f64 z -1/540))))
(-.f64 (.f64 z (+.f64 (.f64 (pow.f64 y 4) 7/360) (fma.f64 (.f64 y y) 1/6 1))) (.f64 (pow.f64 y 6) (*.f64 z -31/15120)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))

prune137.0ms (3.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	158	6	164

Error

Counts

164 → 6

Alt Table

Status	Error	Program
	2.7b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
▶	2.6b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
	7.3b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
	3.5b	(/.f64 (.f64 x (.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))) z)
✓	2.5b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
✓	2.6b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))

Compiler

Compiled 2321 to 910 computations (60.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	2.5b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))

series4.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

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

rewrite56.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
195×	`log-div_binary64`
171×	`expm1-udef_binary64`
171×	`log1p-udef_binary64`
147×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	178	18
2	2748	18

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

459×	`associate-/l/_binary64`
437×	`associate-l_binary64`
407×	`associate-r_binary64`
352×	`distribute-rgt-out_binary64`
340×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	530
1	103	528
2	274	524
3	811	524
4	3318	520

Stop Event

1×	node limit

Counts

130 → 105

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

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

prune91.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	105	6	111

Error

Counts

111 → 6

Alt Table

Status	Error	Program
	2.7b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
✓	2.6b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
	7.3b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
	3.0b	(/.f64 (/.f64 x z) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
✓	2.5b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
✓	2.6b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))

Compiler

Compiled 1542 to 553 computations (64.1% saved)

regimes260.0ms (6.8%)

Accuracy

Total -12.4b remaining (-707.5%)

Threshold costs -12.4b (-707.5%)

Counts

36 → 2

Compiler

Compiled 424 to 157 computations (63% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Calls

1 calls:

0.0ms

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

Steps

Iters	Point		Range
-1e-170	∈ [	-1.0012654763720002e-170	,	-6.2832432169043894e-173	]

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	15	38

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))))

Outputs

(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))))

end56.0ms (1.5%)

Stop Event

1×

fuel

Compiler

Compiled 109 to 40 computations (63.3% saved)

Details

analyze722.0ms (18.7%)

sample1.8s (47.5%)

preprocess21.0ms (0.6%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series19.0ms (0.5%)

rewrite57.0ms (1.5%)

simplify44.0ms (1.1%)

prune141.0ms (3.7%)

localize7.0ms (0.2%)

series6.0ms (0.2%)

rewrite73.0ms (1.9%)

simplify35.0ms (0.9%)

prune114.0ms (3%)

localize8.0ms (0.2%)

series7.0ms (0.2%)

rewrite57.0ms (1.5%)

simplify40.0ms (1%)

prune137.0ms (3.6%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite56.0ms (1.5%)

simplify39.0ms (1%)

prune91.0ms (2.4%)

regimes260.0ms (6.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end56.0ms (1.5%)

Profiling