Details

analyze699.0ms (17%)

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 (48.5%)

Results

746.0ms	1410×	body	1024	valid
735.0ms	5600×	body	128	valid
286.0ms	823×	body	512	valid
101.0ms	421×	body	256	valid
64.0ms	486×	body	128	invalid
17.0ms	54×	body	512	invalid
14.0ms	62×	body	256	invalid
11.0ms	23×	body	1024	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess26.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	8.9b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
▶	2.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 63 to 38 computations (39.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.2b	(/.f64 (sin.f64 y) y)
✓	2.1b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series19.0ms (0.5%)

Counts

3 → 64

Calls

18 calls:

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

rewrite55.0ms (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 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 exp.f64 (log.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 1))))))

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

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

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

180 → 141

Calls

Call 1

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

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

prune100.0ms (2.4%)

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

Status	Error	Program
▶	2.2b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
	3.7b	(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)
	4.7b	(pow.f64 (cbrt.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 3)
	32.5b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
	3.4b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
	2.3b	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))
	8.9b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
	7.5b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)

Compiler

Compiled 2096 to 863 computations (58.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))
✓	2.1b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite51.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`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	208	27
2	2821	27

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

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

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

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (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 (*.f64 x (sin.f64 y)) 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)) -1) (neg.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 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 (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 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))))))) (#(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))))))

simplify34.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	838
1	144	831
2	426	813
3	1511	807

Stop Event

1×	node limit

Counts

172 → 125

Calls

Call 1

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

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

prune84.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	125	8	133

Error

Counts

133 → 8

Alt Table

Status	Error	Program
✓	2.2b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
	3.7b	(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)
	4.7b	(pow.f64 (cbrt.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 3)
	32.5b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
	3.4b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
▶	2.3b	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))
	8.9b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
	7.5b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)

Compiler

Compiled 1876 to 780 computations (58.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	0.2b	(/.f64 y (sin.f64 y))
✓	2.2b	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))

series6.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite59.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`log-prod_binary64`
203×	`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	27
1	217	27
2	3171	27

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs
(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))
(/.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 x (/.f64 (*.f64 y z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (*.f64 y z) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 y (sin.f64 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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((#(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 x (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) 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simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-def_binary64`
631×	`associate-l_binary64`
424×	`cancel-sign-sub-inv_binary64`
367×	`associate-/l*_binary64`
279×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	786
1	145	783
2	423	769
3	1494	761

Stop Event

1×	node limit

Counts

204 → 164

Calls

Call 1

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

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

prune109.0ms (2.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	164	8	172

Error

Counts

172 → 8

Alt Table

Status	Error	Program
	11.4b	(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))
✓	2.2b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
	4.7b	(pow.f64 (cbrt.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 3)
▶	3.4b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
✓	2.3b	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))
	8.9b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
	7.5b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
	3.4b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))

Compiler

Compiled 2530 to 1126 computations (55.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (sin.f64 y) y)
✓	3.2b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

100 → 73

Calls

Call 1

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

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

prune79.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	118	8	126

Error

Counts

126 → 8

Alt Table

Status	Error	Program
	3.4b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
	3.9b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
	11.4b	(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))
✓	2.2b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
✓	3.4b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
✓	2.3b	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))
	7.5b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
	9.3b	(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))

Compiler

Compiled 1549 to 562 computations (63.7% saved)

regimes505.0ms (12.3%)

Accuracy

Total 0.2b remaining (94.9%)

Threshold costs 0.2b (94.9%)

Counts

65 → 3

Compiler

Compiled 662 to 243 computations (63.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
0.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Steps

Iters	Point		Range
4e-92	∈ [	2.4095834163857944e-92	,	7.222717175798927e-91	]
-2e-131	∈ [	-2.0876821490584863e-131	,	-6.060105144576271e-136	]

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`unpow1_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	70
1	29	70

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) -1997919072202235/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1) z) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) 5871356456934583/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1) z)))

Outputs

(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) -1997919072202235/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1) z) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) 5871356456934583/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1) z)))

(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) -1997919072202235/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) 5871356456934583/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))

end101.0ms (2.5%)

Stop Event

1×

fuel

Compiler

Compiled 190 to 96 computations (49.5% saved)

Details

analyze699.0ms (17%)

sample2.0s (48.5%)

preprocess26.0ms (0.6%)

simplify8.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

series19.0ms (0.5%)

rewrite55.0ms (1.3%)

simplify33.0ms (0.8%)

prune100.0ms (2.4%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite51.0ms (1.3%)

simplify34.0ms (0.8%)

prune84.0ms (2%)

localize7.0ms (0.2%)

series6.0ms (0.1%)

rewrite59.0ms (1.4%)

simplify33.0ms (0.8%)

prune109.0ms (2.7%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite43.0ms (1.1%)

simplify35.0ms (0.8%)

prune79.0ms (1.9%)

regimes505.0ms (12.3%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end101.0ms (2.5%)

Profiling