Details

analyze684.0ms (14.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
35.9%	64%	0.1%	9
47.6%	52.3%	0.1%	10
54.8%	45.1%	0.1%	11
62.8%	37.1%	0.1%	12
68.8%	30.7%	0.5%	13
72.6%	26.4%	1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.0s (41.7%)

Results

770.0ms	5605×	body	128	valid
687.0ms	1397×	body	1024	valid
300.0ms	825×	body	512	valid
108.0ms	426×	body	256	valid
80.0ms	551×	body	128	invalid
21.0ms	63×	body	512	invalid
10.0ms	43×	body	256	invalid
8.0ms	18×	body	1024	invalid
2.0ms	3×	body	2048	valid

preprocess22.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	38	48
2	83	48
3	176	48
4	255	48
5	291	48
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	25	12
3	50	12
4	71	12
5	81	12

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 19 to 10 computations (47.4% saved)

prune2.0ms (0%)

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

Click to see full alt table

Status	Error	Program
	8.8b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
▶	3.3b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 44 to 28 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.2b	(/.f64 (sin.f64 y) y)
✓	3.3b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series19.0ms (0.4%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
2.0ms	y	@	-inf	(/.f64 (sin.f64 y) y)
2.0ms	y	@	inf	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
1.0ms	y	@	-inf	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
1.0ms	x	@	inf	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

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

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

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

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

simplify44.0ms (0.9%)

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))

eval30.0ms (0.6%)

Compiler: Compiled 1894 to 730 computations (61.5% saved)

prune262.0ms (5.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	134	7	141
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	135	8	143

Error

Counts

143 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	16.4b	(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
	3.7b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
	3.2b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
▶	3.1b	(.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)
	3.4b	(/.f64 (.f64 x (.f64 (/.f64 1 y) (sin.f64 y))) z)
	8.8b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
	8.8b	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z)
	27.4b	(*.f64 (/.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1) (/.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) z))

Compiler

Compiled 216 to 138 computations (36.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (/.f64 y (sin.f64 y)))
✓	0.1b	(/.f64 y (sin.f64 y))
✓	3.1b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))

series9.0ms (0.2%)

Counts

3 → 64

Calls

18 calls:

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

rewrite75.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

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

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

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

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

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

435×	`cancel-sign-sub-inv_binary64`
392×	`fma-neg_binary64`
317×	`fma-def_binary64`
220×	`associate-l_binary64`
220×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	796
1	189	786
2	627	774
3	2586	764

Stop Event

1×	node limit

Counts

181 → 142

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 x z)
(+.f64 (.f64 -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)))))
(/.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 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.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 (.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 (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 (.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 (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 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))))
(fma.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (.f64 (/.f64 x z) (.f64 y y)) (/.f64 x z))))
(fma.f64 1/120 (.f64 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 z (*.f64 y y))) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
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)))
(/.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 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
z
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 1/6 (.f64 z (.f64 y y)) z)
(.f64 (fma.f64 (.f64 y y) 1/6 1) z)
(.f64 z (fma.f64 y (.f64 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))))))
(+.f64 (fma.f64 1/6 (.f64 z (.f64 y y)) z) (neg.f64 (.f64 (pow.f64 y 4) (.f64 z -7/360))))
(-.f64 (.f64 (fma.f64 (.f64 y y) 1/6 1) z) (.f64 (pow.f64 y 4) (.f64 z -7/360)))
(fma.f64 (pow.f64 y 4) (.f64 z 7/360) (.f64 z (fma.f64 y (*.f64 y 1/6) 1)))
(.f64 z (fma.f64 y (.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -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 (pow.f64 y 4) (.f64 z 7/360) (.f64 z (fma.f64 y (.f64 y 1/6) 1))) (.f64 (pow.f64 y 6) (fma.f64 z -1/5040 (*.f64 z -1/540))))
(-.f64 (.f64 z (fma.f64 y (.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 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 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)

eval36.0ms (0.7%)

Compiler: Compiled 2195 to 1037 computations (52.8% saved)

prune284.0ms (5.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	143	7	150

Error

Counts

150 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	16.4b	(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
	3.7b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
✓	3.1b	(.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)
▶	3.4b	(/.f64 (.f64 x (.f64 (/.f64 1 y) (sin.f64 y))) z)
	7.9b	(.f64 (.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) 1)
	9.0b	(.f64 (/.f64 x (.f64 (/.f64 z (sin.f64 y)) y)) 1)
	3.4b	(.f64 (.f64 (/.f64 1 z) (/.f64 x (/.f64 y (sin.f64 y)))) 1)

Compiler

Compiled 171 to 119 computations (30.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
✓	0.3b	(*.f64 (/.f64 1 y) (sin.f64 y))
✓	3.3b	(/.f64 (.f64 x (.f64 (/.f64 1 y) (sin.f64 y))) z)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite55.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
183×	`expm1-udef_binary64`
183×	`log1p-udef_binary64`
159×	`log-pow_binary64`
125×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	206	27
2	2783	27

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

Outputs

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

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

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

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-def_binary64`
698×	`distribute-rgt-out_binary64`
463×	`associate-l_binary64`
360×	`associate-r_binary64`
313×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	822
1	127	818
2	338	809
3	1035	807
4	4117	807

Stop Event

1×	node limit

Counts

171 → 123

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

eval27.0ms (0.6%)

Compiler: Compiled 1658 to 633 computations (61.8% saved)

prune218.0ms (4.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	123	7	130

Error

Counts

130 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	16.4b	(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
	3.7b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
✓	3.1b	(.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)
✓	3.4b	(/.f64 (.f64 x (.f64 (/.f64 1 y) (sin.f64 y))) z)
	7.9b	(.f64 (.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) 1)
	9.0b	(.f64 (/.f64 x (.f64 (/.f64 z (sin.f64 y)) y)) 1)
▶	3.4b	(.f64 (.f64 (/.f64 1 z) (/.f64 x (/.f64 y (sin.f64 y)))) 1)

Compiler

Compiled 158 to 110 computations (30.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	0.1b	(/.f64 y (sin.f64 y))
✓	3.4b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 y (sin.f64 y))))

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary64`
201×	`log-div_binary64`
191×	`expm1-udef_binary64`
191×	`log1p-udef_binary64`
165×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	214	21
2	3084	21

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

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

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

701×	`distribute-rgt-out_binary64`
569×	`fma-def_binary64`
382×	`associate-l_binary64`
352×	`associate-r_binary64`
286×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	722
1	109	722
2	298	716
3	892	713
4	3623	713

Stop Event

1×	node limit

Counts

161 → 118

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

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

eval43.0ms (0.9%)

Compiler: Compiled 2666 to 1335 computations (49.9% saved)

prune357.0ms (7.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	163	7	170

Error

Counts

170 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	16.4b	(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
	3.7b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
✓	3.1b	(.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)
✓	3.4b	(/.f64 (.f64 x (.f64 (/.f64 1 y) (sin.f64 y))) z)
	7.9b	(.f64 (.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) 1)
	9.0b	(.f64 (/.f64 x (.f64 (/.f64 z (sin.f64 y)) y)) 1)
✓	3.4b	(.f64 (.f64 (/.f64 1 z) (/.f64 x (/.f64 y (sin.f64 y)))) 1)

Compiler

Compiled 92 to 64 computations (30.4% saved)

regimes136.0ms (2.8%)

Accuracy

Total -44.5b remaining (-35372.3%)

Threshold costs -44.5b (-35372.3%)

Counts

12 → 3

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) 1)
(.f64 (/.f64 x (.f64 (/.f64 z (sin.f64 y)) y)) 1)
(.f64 (.f64 (/.f64 1 z) (/.f64 x (/.f64 y (sin.f64 y)))) 1)
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)
(/.f64 (.f64 x (.f64 (/.f64 1 y) (sin.f64 y))) z)
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z)
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1) (/.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Results

Time	Error	Segments	Branch
21.0ms	0.1b	3	`x`
9.0ms	3.1b	1	`y`
21.0ms	0.1b	3	`z`
20.0ms	0.1b	3	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`
20.0ms	0.1b	3	`(*.f64 x (/.f64 (sin.f64 y) y))`
19.0ms	2.1b	3	`(/.f64 (sin.f64 y) y)`
20.0ms	2.1b	3	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 173 to 86 computations (50.3% saved)

bsearch149.0ms (3.1%)

Algorithm

2×	binary-search

Steps

Time	Point		Range
72.0ms	1.0764093160980347e+23	∈ [	1.0764093160980347e+23	,	5.217149448445932e+25	]
77.0ms	-1.7564181332187953e+74	∈ [	-1.7564181332187953e+74	,	-3.531355458783405e+73	]

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	48
1	26	48

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x -175641813321879532086856171741633603063244146586436483428891397850774110208) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 x 107640931609803470405632) (*.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) 1) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))

Outputs

(if (<=.f64 x -175641813321879532086856171741633603063244146586436483428891397850774110208) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 x 107640931609803470405632) (*.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) 1) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))

(if (<=.f64 x -175641813321879532086856171741633603063244146586436483428891397850774110208) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 x 107640931609803470405632) (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))

end22.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 70 to 32 computations (54.3% saved)

Details

analyze684.0ms (14.3%)

sample2.0s (41.7%)

preprocess22.0ms (0.5%)

simplify7.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series19.0ms (0.4%)

rewrite63.0ms (1.3%)

simplify44.0ms (0.9%)

eval30.0ms (0.6%)

prune262.0ms (5.5%)

localize8.0ms (0.2%)

series9.0ms (0.2%)

rewrite75.0ms (1.6%)

simplify41.0ms (0.9%)

eval36.0ms (0.7%)

prune284.0ms (5.9%)

localize8.0ms (0.2%)

series5.0ms (0.1%)

rewrite55.0ms (1.2%)

simplify69.0ms (1.4%)

eval27.0ms (0.6%)

prune218.0ms (4.5%)

localize10.0ms (0.2%)

series5.0ms (0.1%)

rewrite57.0ms (1.2%)

simplify42.0ms (0.9%)

eval43.0ms (0.9%)

prune357.0ms (7.4%)

regimes136.0ms (2.8%)

bsearch149.0ms (3.1%)

simplify3.0ms (0.1%)

end22.0ms (0.5%)

Profiling