Details

analyze225.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
35.9%	35.9%	64%	0.1%	0%	0%	0%	9
47.7%	47.6%	52.3%	0.1%	0%	0%	0%	10
54.9%	54.8%	45.1%	0.1%	0%	0%	0%	11
62.9%	62.8%	37.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.1s (17.6%)

Results

1.1s	6018×	body	256	valid
563.0ms	1378×	body	1024	valid
243.0ms	856×	body	512	valid
131.0ms	683×	body	256	infinite
15.0ms	53×	body	512	infinite
8.0ms	20×	body	1024	infinite
4.0ms	4×	body	2048	valid

Bogosity

preprocess35.0ms (0.3%)

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

2.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.4b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
▶	2.3b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize53.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 y)
✓	5.1b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
✓	5.8b	(*.f64 z (/.f64 y x))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series24.0ms (0.2%)

Counts

3 → 76

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
2.0ms	y	@	0	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
2.0ms	y	@	-inf	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
2.0ms	z	@	0	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
2.0ms	x	@	0	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))

rewrite132.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
399×	`exp-prod_binary64`
359×	`prod-exp_binary64`
303×	`pow-prod-down_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	172	22
2	2498	22

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

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

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

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

simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

858×	`fma-def_binary64`
624×	`associate-l_binary64`
614×	`associate-*l/_binary64`
473×	`unswap-sqr_binary64`
374×	`associate-*r/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	46	778
1	122	776
2	321	776
3	993	776
4	3629	770
5	5911	767
6	7417	767

Stop Event

1×	node limit

Counts

212 → 154

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))

Outputs
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))
(fma.f64 -1/6 (.f64 x (/.f64 (.f64 y y) z)) (/.f64 x z))
(fma.f64 (/.f64 (*.f64 y y) (/.f64 z -1/6)) x (/.f64 x z))
(fma.f64 x (/.f64 (*.f64 y y) (/.f64 z -1/6)) (/.f64 x z))
(fma.f64 x (/.f64 y (/.f64 z (*.f64 y -1/6))) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z)))
(fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/6 (.f64 x (/.f64 (*.f64 y y) z)) (/.f64 x z)))
(fma.f64 -1/6 (.f64 (/.f64 x z) (.f64 y y)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (/.f64 (pow.f64 y 4) (/.f64 z 1/120))) (/.f64 x z))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (.f64 x (pow.f64 y 6)) z) (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))))
(fma.f64 -1/5040 (.f64 x (/.f64 (pow.f64 y 6) z)) (fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/6 (.f64 x (/.f64 (.f64 y y) z)) (/.f64 x z))))
(fma.f64 (/.f64 1/120 z) (.f64 x (pow.f64 y 4)) (fma.f64 -1/6 (.f64 (/.f64 x z) (.f64 y y)) (fma.f64 -1/5040 (.f64 x (/.f64 (pow.f64 y 6) z)) (/.f64 x z))))
(fma.f64 x (/.f64 (pow.f64 y 4) (/.f64 z 1/120)) (fma.f64 x (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (/.f64 (*.f64 y y) (/.f64 z -1/6))) (/.f64 x z)))
(+.f64 (/.f64 x z) (.f64 (/.f64 x z) (+.f64 (.f64 y (.f64 y -1/6)) (.f64 (pow.f64 y 4) (+.f64 1/120 (.f64 y (.f64 y -1/5040)))))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y)))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	2.3b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 26 to 7 computations (73.1% saved)

series9.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
1.0ms	y	@	-inf	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	y	@	-inf	(/.f64 (sin.f64 y) y)
1.0ms	x	@	inf	(*.f64 x (/.f64 (sin.f64 y) y))
0.0ms	x	@	0	(*.f64 x (/.f64 (sin.f64 y) y))

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
402×	`exp-prod_binary64`
372×	`prod-exp_binary64`
318×	`pow-prod-down_binary64`
242×	`pow2_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 → 157

Calls

Call 1

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

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

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

760×	`distribute-rgt-out_binary64`
708×	`fma-def_binary64`
531×	`associate-*l/_binary64`
464×	`associate-l_binary64`
447×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	774
1	127	770
2	338	761
3	1034	759
4	4261	751
5	7261	751

Stop Event

1×	node limit

Counts

221 → 182

Calls

Call 1

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

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

eval79.0ms (0.7%)

Compiler: Compiled 5018 to 1869 computations (62.8% saved)

prune72.0ms (0.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	364	9	373
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	364	11	375

Error

Counts

375 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(/.f64 y (*.f64 z (/.f64 y x)))
✓	11.4b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
	8.6b	(/.f64 (/.f64 (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) z)
	7.4b	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
▶	17.3b	(/.f64 (*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)) z)
▶	10.6b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
✓	2.3b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
▶	2.4b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
▶	27.7b	(/.f64 x z)
	3.1b	(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
▶	11.6b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))

Compiler

Compiled 230 to 150 computations (34.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	2.3b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)

Compiler

Compiled 26 to 7 computations (73.1% saved)

series6.0ms (0%)

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))) z)
0.0ms	y	@	0	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
438×	`exp-prod_binary64`
323×	`pow-prod-down_binary64`
252×	`pow2_binary64`
192×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	178	27
2	2756	27

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

827×	`distribute-rgt-out_binary64`
777×	`fma-def_binary64`
510×	`associate-l_binary64`
465×	`distribute-lft-out_binary64`
461×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	774
1	137	772
2	369	762
3	1124	759
4	4585	751
5	7785	751

Stop Event

1×	node limit

Counts

227 → 187

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	5.1b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
✓	6.1b	(/.f64 x (*.f64 y z))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`pow1_binary64`
874×	`add-log-exp_binary64`
874×	`log1p-expm1-u_binary64`
874×	`expm1-log1p-u_binary64`
854×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	166	19
2	2296	19

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

751×	`associate-/r/_binary64`
680×	`fma-def_binary64`
464×	`associate-/l/_binary64`
448×	`associate-*r/_binary64`
392×	`times-frac_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	478
1	75	478
2	203	478
3	580	478
4	2621	472
5	5950	468
6	6763	468

Stop Event

1×	node limit

Counts

100 → 73

Calls

Call 1

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

Outputs
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))
(fma.f64 -1/6 (.f64 (/.f64 x z) (.f64 y y)) (/.f64 x z))
(fma.f64 -1/6 (.f64 x (.f64 (/.f64 y z) y)) (/.f64 x z))
(fma.f64 x (/.f64 y (/.f64 (/.f64 z -1/6) y)) (/.f64 x z))
(fma.f64 (/.f64 x z) (.f64 -1/6 (.f64 y y)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z)))
(fma.f64 -1/6 (.f64 (/.f64 x z) (.f64 y y)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (.f64 x (*.f64 (/.f64 y z) y)) (/.f64 x z)))
(fma.f64 x (fma.f64 -1/6 (.f64 (/.f64 y z) y) (.f64 1/120 (/.f64 (pow.f64 y 4) z))) (/.f64 x z))
(fma.f64 x (.f64 (/.f64 y z) (+.f64 (.f64 1/120 (pow.f64 y 3)) (*.f64 -1/6 y))) (/.f64 x z))
(fma.f64 x (.f64 (/.f64 (.f64 y y) z) (+.f64 -1/6 (.f64 y (.f64 y 1/120)))) (/.f64 x z))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))))
(fma.f64 -1/5040 (.f64 x (/.f64 (pow.f64 y 6) z)) (fma.f64 -1/6 (.f64 (/.f64 x z) (.f64 y y)) (fma.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z))))
(fma.f64 -1/5040 (.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (.f64 x (.f64 (/.f64 y z) y)) (/.f64 x z))))
(fma.f64 x (fma.f64 -1/6 (.f64 (/.f64 y z) y) (.f64 (/.f64 -1/5040 z) (pow.f64 y 6))) (fma.f64 (*.f64 1/120 (/.f64 x z)) (pow.f64 y 4) (/.f64 x z)))
(+.f64 (/.f64 x z) (.f64 (/.f64 x z) (+.f64 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/6 (.f64 y y))) (*.f64 -1/5040 (pow.f64 y 6)))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	10.5b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series16.0ms (0.1%)

Counts

2 → 8

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
1.0ms	x	@	inf	(*.f64 (sin.f64 y) x)
1.0ms	x	@	-inf	(*.f64 (sin.f64 y) x)
1.0ms	y	@	0	(*.f64 (sin.f64 y) x)
1.0ms	y	@	0	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))

rewrite126.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
434×	`exp-prod_binary64`
316×	`pow-prod-down_binary64`
251×	`div-exp_binary64`
237×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	169	18
2	2513	18

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

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

simplify144.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

731×	`associate-*l/_binary64`
661×	`fma-def_binary64`
599×	`associate-*r/_binary64`
370×	`distribute-lft-out_binary64`
360×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	170
1	122	167
2	343	156
3	1107	154
4	3206	154
5	4675	154
6	6099	154
7	6937	154
8	7523	154
9	7877	154

Stop Event

1×	node limit

Counts

105 → 112

Calls

Call 1

Inputs
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))

Outputs
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))
(fma.f64 -1/6 (/.f64 x (/.f64 (/.f64 z y) y)) (/.f64 x z))
(fma.f64 (.f64 y (/.f64 y z)) (.f64 x -1/6) (/.f64 x z))
(fma.f64 -1/6 (.f64 x (.f64 y (/.f64 y z))) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z)))
(fma.f64 -1/6 (.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (/.f64 x (/.f64 (/.f64 z y) y)) (/.f64 x z)))
(fma.f64 -1/6 (.f64 x (.f64 y (/.f64 y z))) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))))
(fma.f64 -1/5040 (.f64 x (/.f64 (pow.f64 y 6) z)) (fma.f64 -1/6 (.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z))))
(fma.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (/.f64 x (/.f64 (/.f64 z y) y)) (fma.f64 (/.f64 (pow.f64 y 6) z) (.f64 x -1/5040) (/.f64 x z))))
(fma.f64 (/.f64 1/120 z) (.f64 x (pow.f64 y 4)) (fma.f64 -1/6 (.f64 x (.f64 y (/.f64 y z))) (fma.f64 -1/5040 (.f64 x (/.f64 (pow.f64 y 6) z)) (/.f64 x z))))
(fma.f64 -1/6 (.f64 x (.f64 y (/.f64 y z))) (fma.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (.f64 (/.f64 x z) (pow.f64 y 6)) (/.f64 x z))))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 x y (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7)))))
(.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(.f64 x (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))
(.f64 x (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) (.f64 -1/6 (pow.f64 y 3))))))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
✓	1.0b	(/.f64 (*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)) z)

Compiler

Compiled 45 to 16 computations (64.4% saved)

series18.0ms (0.2%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
3.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
3.0ms	y	@	-inf	(/.f64 (*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)) z)
1.0ms	y	@	-inf	(*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
1.0ms	x	@	0	(/.f64 (*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)) z)

rewrite147.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary64`
433×	`exp-prod_binary64`
355×	`pow-prod-down_binary64`
276×	`pow2_binary64`
202×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	238	27
2	2904	27

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs
(/.f64 (*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)) z)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))) 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 (/.f64 x (/.f64 y (sin.f64 y))) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)) 2) (cbrt.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (/.f64 x (/.f64 y (sin.f64 y))) z)) (sqrt.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))))) (#(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 (cbrt.f64 (pow.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 (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 (cbrt.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 2)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.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)))) (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 (pow.f64 z -1/2) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 (/.f64 x (/.f64 y (sin.f64 y))) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 x (/.f64 y (sin.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))))) (#(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 z (/.f64 x (/.f64 y (sin.f64 y)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))))))) (#(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 (/.f64 x (/.f64 y (sin.f64 y))) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 x (/.f64 y (sin.f64 y))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)) 1) 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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (pow.f64 (/.f64 (sin.f64 y) y) 3/4))))) (#(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 (pow.f64 (/.f64 (sin.f64 y) y) 3/4) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (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 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) 1/2) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (sin.f64 y)) 1/2) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 y) y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) 2))))))

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

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

715×	`times-frac_binary64`
708×	`fma-def_binary64`
578×	`associate-/r*_binary64`
344×	`distribute-neg-frac_binary64`
326×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	774
1	156	770
2	462	761
3	1678	759
4	6231	759

Stop Event

1×	node limit

Counts

204 → 166

Calls

Call 1

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

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

eval314.0ms (2.6%)

Compiler: Compiled 9798 to 3760 computations (61.6% saved)

prune255.0ms (2.1%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	705	3	708
Fresh	1	3	4
Picked	0	1	1
Done	0	6	6
Total	706	13	719

Error

Counts

719 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.3b	(/.f64 y (*.f64 z (/.f64 y x)))
▶	31.6b	(.f64 y (/.f64 x (.f64 y z)))
✓	11.4b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
✓	27.7b	(/.f64 x z)
▶	33.3b	(/.f64 (.f64 y x) (.f64 y z))
	10.6b	(.f64 (/.f64 x y) (.f64 (sin.f64 y) (/.f64 1 z)))
▶	3.1b	(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
▶	7.4b	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
✓	17.3b	(/.f64 (*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)) z)
✓	10.6b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
✓	2.3b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
✓	2.4b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
✓	11.6b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))

Compiler

Compiled 209 to 135 computations (35.4% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(*.f64 z (/.f64 y (sin.f64 y)))
✓	3.0b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))

Compiler

Compiled 37 to 10 computations (73% saved)

series13.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite154.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
399×	`exp-prod_binary64`
359×	`prod-exp_binary64`
303×	`pow-prod-down_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	172	21
2	2498	21

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

492×	`associate-+l+_binary64`
433×	`cancel-sign-sub-inv_binary64`
383×	`fma-neg_binary64`
363×	`associate-+r+_binary64`
288×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	744
1	163	736
2	567	728
3	2381	722

Stop Event

1×	node limit

Counts

166 → 124

Calls

Call 1

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

Outputs
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (.f64 x (.f64 y y)) z) (/.f64 x z))
(fma.f64 -1/6 (.f64 (/.f64 (.f64 y y) z) x) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))
(fma.f64 -1/6 (.f64 x (.f64 (/.f64 y z) y)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (.f64 x (*.f64 y y)) z) (/.f64 x z)))
(fma.f64 1/120 (.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z)))
(fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/6 (.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z)))
(fma.f64 -1/6 (.f64 x (.f64 (/.f64 y z) y)) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (.f64 x (pow.f64 y 6)) z) (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (.f64 x (.f64 y y)) z) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 x (/.f64 z (pow.f64 y 6))) (fma.f64 1/120 (.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))))
(fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/5040 (.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))))
(fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/5040 (.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (.f64 x (.f64 (/.f64 y z) y)) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
z
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 1/6 (.f64 z (.f64 y y)) z)
(fma.f64 1/6 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 (.f64 y y) 1/6 1))
(fma.f64 (.f64 y y) (.f64 z 1/6) z)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/120 z) (.f64 -1/36 z))))))
(+.f64 (fma.f64 1/6 (.f64 z (.f64 y y)) z) (neg.f64 (.f64 (pow.f64 y 4) (.f64 z -7/360))))
(-.f64 (fma.f64 1/6 (.f64 y (.f64 y z)) z) (.f64 (pow.f64 y 4) (.f64 z -7/360)))
(fma.f64 z (.f64 y (.f64 y 1/6)) (fma.f64 (pow.f64 y 4) (*.f64 z 7/360) z))
(.f64 z (-.f64 (fma.f64 (.f64 y y) 1/6 1) (*.f64 (pow.f64 y 4) -7/360)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (+.f64 (.f64 -1/5040 z) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 z) (.f64 -1/36 z))) (.f64 1/720 z))))) (+.f64 z (.f64 -1 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/120 z) (*.f64 -1/36 z)))))))
(fma.f64 1/6 (.f64 z (.f64 y y)) (fma.f64 -1 (.f64 (pow.f64 y 6) (fma.f64 -1/5040 z (fma.f64 1/6 (.f64 z -7/360) (.f64 z 1/720)))) (+.f64 z (neg.f64 (.f64 (pow.f64 y 4) (*.f64 z -7/360))))))
(fma.f64 1/6 (.f64 y (.f64 y z)) (-.f64 (-.f64 z (.f64 (pow.f64 y 4) (.f64 z -7/360))) (.f64 (pow.f64 y 6) (fma.f64 z -1/5040 (fma.f64 z 1/720 (.f64 z -7/2160))))))
(-.f64 (fma.f64 z (.f64 y (.f64 y 1/6)) (fma.f64 (pow.f64 y 4) (.f64 z 7/360) z)) (.f64 (pow.f64 y 6) (fma.f64 z -7/2160 (*.f64 z 1/840))))
(-.f64 (.f64 z (-.f64 (fma.f64 (.f64 y y) 1/6 1) (.f64 (pow.f64 y 4) -7/360))) (.f64 (pow.f64 y 6) (*.f64 z -31/15120)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	6.1b	(/.f64 x (*.f64 y z))
✓	10.1b	(.f64 y (/.f64 x (.f64 y z)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
787×	`add-log-exp_binary64`
787×	`log1p-expm1-u_binary64`
787×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	147	10
2	2071	10

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	144

Stop Event

1×

saturated

Counts

62 → 27

Calls

Call 1

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

Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.8b	(*.f64 z (/.f64 y x))
✓	10.2b	(/.f64 y (*.f64 z (/.f64 y x)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series34.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(/.f64 y (*.f64 z (/.f64 y x)))
1.0ms	y	@	0	(/.f64 y (*.f64 z (/.f64 y x)))
0.0ms	y	@	inf	(/.f64 y (*.f64 z (/.f64 y x)))
0.0ms	z	@	-inf	(/.f64 y (*.f64 z (/.f64 y x)))
0.0ms	x	@	inf	(/.f64 y (*.f64 z (/.f64 y x)))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
851×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
831×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	152	10
2	2234	10

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	144

Stop Event

1×

saturated

Counts

78 → 43

Calls

Call 1

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

Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	17.0b	(/.f64 (.f64 y x) (.f64 y z))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite106.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`pow1_binary64`
862×	`add-log-exp_binary64`
862×	`log1p-expm1-u_binary64`
862×	`expm1-log1p-u_binary64`
842×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	4
2	2281	4

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	144

Stop Event

1×

saturated

Counts

96 → 61

Calls

Call 1

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

Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 (sin.f64 y) z)
✓	2.5b	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
✓	6.9b	(/.f64 (/.f64 (sin.f64 y) z) y)

Compiler

Compiled 26 to 7 computations (73.1% saved)

series15.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite251.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log-prod_binary64`
398×	`prod-exp_binary64`
386×	`exp-prod_binary64`
339×	`pow-prod-down_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	172	27
2	2489	27

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

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

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

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

simplify223.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

951×	`fma-def_binary64`
636×	`associate-l_binary64`
504×	`associate-*r/_binary64`
474×	`unswap-sqr_binary64`
450×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	59	810
1	159	810
2	400	810
3	1087	808
4	3835	801
5	6468	800
6	7751	800

Stop Event

1×	node limit

Counts

222 → 182

Calls

Call 1

Inputs
(/.f64 1 z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z)))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z))))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z)))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 y 7) z)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))))

Outputs
(/.f64 1 z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) z) (/.f64 1 z))
(fma.f64 -1/6 (/.f64 y (/.f64 z y)) (/.f64 1 z))
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z)))
(fma.f64 -1/6 (/.f64 (*.f64 y y) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))
(fma.f64 -1/6 (/.f64 y (/.f64 z y)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))
(fma.f64 (pow.f64 y 4) (/.f64 1/120 z) (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z)))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 -1/6 (/.f64 (*.f64 y y) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 -1/6 (/.f64 y (/.f64 z y)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))))
(fma.f64 -1/6 (/.f64 y (/.f64 z y)) (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))))
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (/.f64 1 z))))
(fma.f64 (pow.f64 y 4) (/.f64 1/120 z) (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z))))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 y (/.f64 z y)) x) (/.f64 x z))
(fma.f64 -1/6 (.f64 y (.f64 (/.f64 y z) x)) (/.f64 x z))
(fma.f64 (/.f64 y z) (.f64 -1/6 (.f64 y x)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 -1/6 (.f64 (/.f64 y (/.f64 z y)) x) (fma.f64 1/120 (.f64 (/.f64 (pow.f64 y 4) z) x) (/.f64 x z)))
(+.f64 (/.f64 x z) (.f64 x (fma.f64 -1/6 (.f64 y (/.f64 y z)) (*.f64 1/120 (/.f64 (pow.f64 y 4) z)))))
(fma.f64 x (.f64 (.f64 y (/.f64 y z)) (+.f64 -1/6 (.f64 y (.f64 y 1/120)))) (/.f64 x z))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 -1/6 (.f64 (/.f64 y (/.f64 z y)) x) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (/.f64 x z))))
(+.f64 (/.f64 x z) (fma.f64 -1/6 (.f64 y (.f64 (/.f64 y z) x)) (.f64 x (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (.f64 1/120 (/.f64 (pow.f64 y 4) z))))))
(+.f64 (/.f64 x z) (.f64 x (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (.f64 (.f64 y (/.f64 y z)) (+.f64 -1/6 (.f64 y (*.f64 y 1/120)))))))
(+.f64 (/.f64 x z) (.f64 (/.f64 x z) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 y (+.f64 (.f64 -1/5040 (pow.f64 y 5)) (*.f64 -1/6 y))))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
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(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
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(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
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(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
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(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
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(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
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(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
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(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
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(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
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(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
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(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(/.f64 y z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z)))
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (/.f64 y z)))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 y 7) z)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 7) z) (fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z))))
(fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/5040 (/.f64 (pow.f64 y 7) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z))))
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/5040 (/.f64 (pow.f64 y 7) z) (/.f64 y z))))
(fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (fma.f64 (pow.f64 y 7) (/.f64 -1/5040 z) (/.f64 y z))))

eval373.0ms (3.1%)

Compiler: Compiled 8679 to 3598 computations (58.5% saved)

prune290.0ms (2.4%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	633	14	647
Fresh	1	0	1
Picked	1	0	1
Done	3	8	11
Total	638	22	660

Error

Counts

660 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.8b	(+.f64 0 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))
	35.3b	(.f64 y (-.f64 (+.f64 1 (/.f64 x (.f64 y z))) 1))
✓	31.3b	(/.f64 y (*.f64 z (/.f64 y x)))
✓	31.6b	(.f64 y (/.f64 x (.f64 y z)))
▶	31.5b	(/.f64 y (/.f64 1 (/.f64 x (*.f64 z y))))
✓	2.3b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	33.7b	(*.f64 (/.f64 y z) (/.f64 x y))
	10.0b	(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
	32.5b	(*.f64 (/.f64 (/.f64 x y) z) y)
✓	2.4b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
✓	27.7b	(/.f64 x z)
✓	33.3b	(/.f64 (.f64 y x) (.f64 y z))
	27.9b	(*.f64 y (/.f64 1 (/.f64 y (/.f64 x z))))
	27.5b	(/.f64 y (/.f64 y (/.f64 x z)))
▶	31.9b	(.f64 y (.f64 (/.f64 (/.f64 1 z) y) x))
	33.7b	(.f64 (/.f64 1 (.f64 y z)) (*.f64 y x))
✓	11.6b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
	10.5b	(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))
	27.7b	(/.f64 y (*.f64 y (/.f64 z x)))
✓	10.6b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
▶	27.8b	(*.f64 (/.f64 1 z) x)
▶	35.2b	(-.f64 (+.f64 1 (/.f64 x z)) 1)

Compiler

Compiled 390 to 256 computations (34.4% saved)

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	3.0b	(/.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))
✓	5.6b	(/.f64 (*.f64 z y) (sin.f64 y))

Compiler

Compiled 36 to 10 computations (72.2% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite182.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`log-prod_binary64`
422×	`exp-prod_binary64`
302×	`pow-prod-down_binary64`
239×	`pow2_binary64`
211×	`div-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	172	21
2	2549	21

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

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

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

491×	`associate-+l+_binary64`
433×	`cancel-sign-sub-inv_binary64`
383×	`fma-neg_binary64`
361×	`associate-+r+_binary64`
288×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	744
1	163	736
2	567	728
3	2390	722

Stop Event

1×	node limit

Counts

182 → 140

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 z) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`pow1_binary64`
511×	`add-sqr-sqrt_binary64`
492×	`add-log-exp_binary64`
492×	`log1p-expm1-u_binary64`
492×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	118	4
2	1386	4

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

45 → 21

Calls

Call 1

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

Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

localize40.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(-.f64 (+.f64 1 (/.f64 x z)) 1)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite301.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`pow1_binary64`
788×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
774×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	4
2	2358	4

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 x z)) 1)

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

86 → 62

Calls

Call 1

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

Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 z) y)
✓	6.3b	(*.f64 (/.f64 (/.f64 1 z) y) x)
✓	10.1b	(.f64 y (.f64 (/.f64 (/.f64 1 z) y) x))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series8.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

971×	`pow1_binary64`
896×	`add-log-exp_binary64`
896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	188	24
2	2502	24

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

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

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`associate-/r*_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	564
1	16	564
2	19	564

Stop Event

1×

saturated

Counts

168 → 76

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (/.f64 x (*.f64 z y)))
✓	6.1b	(/.f64 x (*.f64 z y))
✓	10.2b	(/.f64 y (/.f64 1 (/.f64 x (*.f64 z y))))

Compiler

Compiled 31 to 11 computations (64.5% saved)

series7.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite124.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
424×	`exp-prod_binary64`
327×	`pow-prod-down_binary64`
247×	`pow2_binary64`
222×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	194	24
2	2753	24

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

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

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

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/r*_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	648
1	12	648
2	16	648
3	19	648
4	20	648

Stop Event

1×

saturated

Counts

293 → 190

Calls

Call 1

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

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

eval291.0ms (2.4%)

Compiler: Compiled 6905 to 2939 computations (57.4% saved)

prune177.0ms (1.5%)

Pruning

31 alts after pruning (19 fresh and 12 done)

	Pruned	Kept	Total
New	514	12	526
Fresh	2	7	9
Picked	0	1	1
Done	1	11	12
Total	517	31	548

Error

Counts

548 → 31

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.6b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	27.7b	(/.f64 y (*.f64 y (/.f64 z x)))
	27.9b	(/.f64 1 (/.f64 z x))
	27.9b	(/.f64 y (/.f64 1 (*.f64 (/.f64 x z) (/.f64 1 y))))
✓	8.8b	(+.f64 0 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))
	35.3b	(.f64 y (-.f64 (+.f64 1 (/.f64 x (.f64 y z))) 1))
✓	31.6b	(.f64 y (/.f64 x (.f64 y z)))
	31.9b	(*.f64 y (/.f64 (/.f64 1 z) (/.f64 y x)))
✓	31.5b	(/.f64 y (/.f64 1 (/.f64 x (*.f64 z y))))
	27.9b	(*.f64 y (/.f64 1 (/.f64 y (/.f64 x z))))
✓	2.3b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	33.7b	(*.f64 (/.f64 y z) (/.f64 x y))
	10.0b	(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
	32.5b	(*.f64 (/.f64 (/.f64 x y) z) y)
	31.3b	(/.f64 y (.f64 (.f64 (/.f64 1 x) y) z))
✓	2.4b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	31.9b	(.f64 y (.f64 (/.f64 (/.f64 1 y) z) x))
	31.4b	(/.f64 y (.f64 (/.f64 1 x) (.f64 y z)))
✓	27.7b	(/.f64 x z)
✓	33.3b	(/.f64 (.f64 y x) (.f64 y z))
	27.7b	(/.f64 y (*.f64 (/.f64 1 (/.f64 x z)) y))
✓	27.8b	(*.f64 (/.f64 1 z) x)
✓	31.9b	(.f64 y (.f64 (/.f64 (/.f64 1 z) y) x))
	33.7b	(.f64 (/.f64 1 (.f64 y z)) (*.f64 y x))
✓	11.6b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
	28.3b	(*.f64 y (/.f64 (/.f64 x z) y))
	32.1b	(/.f64 y (/.f64 1 (*.f64 (/.f64 1 z) (/.f64 x y))))
	27.5b	(/.f64 y (/.f64 y (/.f64 x z)))
✓	35.2b	(-.f64 (+.f64 1 (/.f64 x z)) 1)
	31.9b	(.f64 y (.f64 (*.f64 (/.f64 1 z) (/.f64 1 y)) x))
	10.5b	(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))

Compiler

Compiled 345 to 229 computations (33.6% saved)

regimes643.0ms (5.4%)

Counts

40 → 3

Calls

Call 1

Inputs
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(/.f64 y (*.f64 y (/.f64 z x)))
(*.f64 y (/.f64 (/.f64 x z) y))
(*.f64 (/.f64 y z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) z) y)
(/.f64 y (/.f64 y (/.f64 x z)))
(/.f64 y (*.f64 y (/.f64 z x)))
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(.f64 y (/.f64 x (.f64 y z)))
(/.f64 (.f64 y x) (.f64 y z))
(/.f64 y (*.f64 z (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 1 z) (/.f64 y x)))
(*.f64 y (/.f64 1 (/.f64 y (/.f64 x z))))
(/.f64 y (.f64 (.f64 (/.f64 1 x) y) z))
(.f64 y (.f64 (/.f64 (/.f64 1 y) z) x))
(/.f64 y (.f64 (/.f64 1 x) (.f64 y z)))
(/.f64 y (*.f64 (/.f64 1 (/.f64 x z)) y))
(/.f64 y (/.f64 1 (/.f64 x (*.f64 z y))))
(*.f64 y (/.f64 1 (/.f64 y (/.f64 x z))))
(.f64 y (.f64 (/.f64 (/.f64 1 z) y) x))
(.f64 (/.f64 1 (.f64 y z)) (*.f64 y x))
(/.f64 y (/.f64 1 (*.f64 (/.f64 x z) (/.f64 1 y))))
(/.f64 y (/.f64 1 (*.f64 (/.f64 1 z) (/.f64 x y))))
(.f64 y (.f64 (*.f64 (/.f64 1 z) (/.f64 1 y)) x))
(.f64 y (-.f64 (+.f64 1 (/.f64 x (.f64 y z))) 1))
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)
(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(+.f64 0 (/.f64 x (/.f64 (*.f64 z y) (sin.f64 y))))
(.f64 (/.f64 x y) (.f64 (sin.f64 y) (/.f64 1 z)))
(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)) z)
(/.f64 (/.f64 (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) z)

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

Calls

6 calls:

151.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
144.0ms	x
123.0ms	z
95.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
71.0ms	(/.f64 (sin.f64 y) y)

Results

Error	Segments	Branch
0.1b	3	`x`
2.3b	1	`y`
1.1b	2	`z`
0.1b	3	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`
0.1b	3	`(*.f64 x (/.f64 (sin.f64 y) y))`
2.3b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 378 to 166 computations (56.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.2818526826909048e-303
0.0ms	-1.6321413854066696e-290	-3.3841195655999e-293

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes285.0ms (2.4%)

Counts

34 → 3

Calls

Call 1

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

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

Calls

3 calls:

124.0ms	z
80.0ms	x
63.0ms	y

Results

Error	Segments	Branch
0.9b	3	`x`
2.4b	1	`y`
0.2b	3	`z`

Compiler

Compiled 288 to 121 computations (58% saved)

bsearch94.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	3.441694324855847e-114	1.1194358626420556e-109
53.0ms	-8.210743457349626e+26	-1717813143507652.0

Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes133.0ms (1.1%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	x
40.0ms	y
38.0ms	z

Results

Error	Segments	Branch
4.9b	2	`x`
2.0b	3	`y`
3.4b	3	`z`

Compiler

Compiled 264 to 116 computations (56.1% saved)

bsearch298.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
252.0ms	4.202471373707011e-12	20358018721.225403
46.0ms	-208.34692483748614	-4.548917844420218e-11

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes155.0ms (1.3%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	y
51.0ms	x
26.0ms	z

Results

Error	Segments	Branch
10.0b	1	`x`
3.4b	3	`y`
10.0b	1	`z`

Compiler

Compiled 240 to 111 computations (53.8% saved)

bsearch128.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
77.0ms	4.202471373707011e-12	20358018721.225403
51.0ms	-208.34692483748614	-4.548917844420218e-11

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes374.0ms (3.1%)

Counts

27 → 3

Calls

Call 1

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

Outputs
(.f64 y (-.f64 (+.f64 1 (/.f64 x (.f64 y z))) 1))
(/.f64 x z)
(.f64 y (-.f64 (+.f64 1 (/.f64 x (.f64 y z))) 1))

Calls

3 calls:

217.0ms	z
96.0ms	y
50.0ms	x

Results

Error	Segments	Branch
25.0b	2	`x`
22.4b	3	`y`
24.3b	3	`z`

Compiler

Compiled 232 to 107 computations (53.9% saved)

bsearch153.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	1.486341932284774e+34	8.63120771594968e+34
97.0ms	-6.616629069802917e+85	-9.013617097623599e+83

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes256.0ms (2.1%)

Counts

26 → 3

Calls

Call 1

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

Outputs
(.f64 y (/.f64 x (.f64 y z)))
(/.f64 x z)
(-.f64 (+.f64 1 (/.f64 x z)) 1)

Calls

3 calls:

99.0ms	y
95.0ms	z
49.0ms	x

Results

Error	Segments	Branch
25.0b	2	`x`
22.5b	3	`y`
24.3b	3	`z`

Compiler

Compiled 221 to 102 computations (53.8% saved)

bsearch249.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
112.0ms	1.486341932284774e+34	8.63120771594968e+34
137.0ms	-6.616629069802917e+85	-9.013617097623599e+83

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes181.0ms (1.5%)

Counts

10 → 3

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(/.f64 x z)
(-.f64 (+.f64 1 (/.f64 x z)) 1)

Calls

3 calls:

88.0ms	y
50.0ms	z
38.0ms	x

Results

Error	Segments	Branch
25.0b	2	`x`
22.5b	3	`y`
24.3b	3	`z`

Compiler

Compiled 77 to 34 computations (55.8% saved)

bsearch183.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	1.486341932284774e+34	8.63120771594968e+34
127.0ms	-6.616629069802917e+85	-9.013617097623599e+83

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes132.0ms (1.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	x
45.0ms	z
36.0ms	y

Results

Error	Segments	Branch
25.0b	2	`x`
22.6b	3	`y`
24.3b	3	`z`

Compiler

Compiled 70 to 30 computations (57.1% saved)

bsearch189.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
100.0ms	4.261616173727381e-110	4.816407677400416e-110
89.0ms	-1.9240250832568705e+91	-1.1234979568325043e+91

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes76.0ms (0.6%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	z
20.0ms	y
13.0ms	x

Results

Error	Segments	Branch
25.2b	2	`x`
22.6b	3	`y`
24.5b	3	`z`

Compiler

Compiled 56 to 28 computations (50% saved)

bsearch103.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	4.202471373707011e-12	20358018721.225403
48.0ms	-1.9240250832568705e+91	-1.1234979568325043e+91

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes17.0ms (0.1%)

Accuracy

Total -0.3b remaining (-1.2%)

Threshold costs -0.3b (-1.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 x z)

Calls

3 calls:

9.0ms	y
4.0ms	x
3.0ms	z

Results

Error	Segments	Branch
27.7b	1	`x`
27.7b	1	`y`
27.7b	1	`z`

Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	388
1	87	388
2	89	388

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) -3511119404027961/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) 0) (.f64 (sin.f64 y) (/.f64 x (.f64 y z))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
(if (<=.f64 z -821074345734962619374108672) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 z 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))
(if (<=.f64 y -3665277863523013/17592186044416) (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) (if (<=.f64 y 5202407577462543/1237940039285380274899124224) (/.f64 x z) (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))))
(if (<=.f64 y -3665277863523013/17592186044416) (/.f64 (.f64 (/.f64 (sin.f64 y) z) x) y) (if (<=.f64 y 5202407577462543/1237940039285380274899124224) (/.f64 x z) (/.f64 (.f64 (/.f64 (sin.f64 y) z) x) y)))
(if (<=.f64 y -66166290698029168737259848452120843340393896959038721813771293700346314098327586603008) (.f64 y (-.f64 (+.f64 1 (/.f64 x (.f64 y z))) 1)) (if (<=.f64 y 14863419322847740074666969568116736) (/.f64 x z) (.f64 y (-.f64 (+.f64 1 (/.f64 x (.f64 y z))) 1))))
(if (<=.f64 y -66166290698029168737259848452120843340393896959038721813771293700346314098327586603008) (.f64 y (/.f64 x (.f64 y z))) (if (<=.f64 y 14863419322847740074666969568116736) (/.f64 x z) (-.f64 (+.f64 1 (/.f64 x z)) 1)))
(if (<=.f64 y -66166290698029168737259848452120843340393896959038721813771293700346314098327586603008) (-.f64 (+.f64 1 (/.f64 x z)) 1) (if (<=.f64 y 14863419322847740074666969568116736) (/.f64 x z) (-.f64 (+.f64 1 (/.f64 x z)) 1)))
(if (<=.f64 y -19240250832568705488608727608777321834735312970067543849601939249806074792360089330005311488) (/.f64 y (*.f64 y (/.f64 z x))) (if (<=.f64 y 3605973514669499/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 x z) (/.f64 y (/.f64 y (/.f64 x z)))))
(if (<=.f64 y -19240250832568705488608727608777321834735312970067543849601939249806074792360089330005311488) (/.f64 y (.f64 y (/.f64 z x))) (if (<=.f64 y 5202407577462543/1237940039285380274899124224) (/.f64 x z) (/.f64 y (.f64 y (/.f64 z x)))))
(/.f64 x z)

Outputs
(if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) -3511119404027961/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) 0) (.f64 (sin.f64 y) (/.f64 x (.f64 y z))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
(if (<=.f64 z -821074345734962619374108672) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 z 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))
(if (<=.f64 z -821074345734962619374108672) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 z 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y)) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))
(if (<=.f64 y -3665277863523013/17592186044416) (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) (if (<=.f64 y 5202407577462543/1237940039285380274899124224) (/.f64 x z) (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))))
(if (<=.f64 y -3665277863523013/17592186044416) (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) (if (<=.f64 y 5202407577462543/1237940039285380274899124224) (/.f64 x z) (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))))
(if (<=.f64 y -3665277863523013/17592186044416) (/.f64 (.f64 (/.f64 (sin.f64 y) z) x) y) (if (<=.f64 y 5202407577462543/1237940039285380274899124224) (/.f64 x z) (/.f64 (.f64 (/.f64 (sin.f64 y) z) x) y)))
(if (<=.f64 y -3665277863523013/17592186044416) (/.f64 (.f64 x (/.f64 (sin.f64 y) z)) y) (if (<=.f64 y 5202407577462543/1237940039285380274899124224) (/.f64 x z) (/.f64 (.f64 x (/.f64 (sin.f64 y) z)) y)))
(if (<=.f64 y -66166290698029168737259848452120843340393896959038721813771293700346314098327586603008) (.f64 y (-.f64 (+.f64 1 (/.f64 x (.f64 y z))) 1)) (if (<=.f64 y 14863419322847740074666969568116736) (/.f64 x z) (.f64 y (-.f64 (+.f64 1 (/.f64 x (.f64 y z))) 1))))
(if (<=.f64 y -66166290698029168737259848452120843340393896959038721813771293700346314098327586603008) (.f64 y (+.f64 (+.f64 (/.f64 x (.f64 y z)) 1) -1)) (if (<=.f64 y 14863419322847740074666969568116736) (/.f64 x z) (.f64 y (+.f64 (+.f64 (/.f64 x (.f64 y z)) 1) -1))))
(if (<=.f64 y -66166290698029168737259848452120843340393896959038721813771293700346314098327586603008) (.f64 y (/.f64 x (.f64 y z))) (if (<=.f64 y 14863419322847740074666969568116736) (/.f64 x z) (-.f64 (+.f64 1 (/.f64 x z)) 1)))
(if (<=.f64 y -66166290698029168737259848452120843340393896959038721813771293700346314098327586603008) (.f64 y (/.f64 x (.f64 y z))) (if (<=.f64 y 14863419322847740074666969568116736) (/.f64 x z) (+.f64 (+.f64 (/.f64 x z) 1) -1)))
(if (<=.f64 y -66166290698029168737259848452120843340393896959038721813771293700346314098327586603008) (-.f64 (+.f64 1 (/.f64 x z)) 1) (if (<=.f64 y 14863419322847740074666969568116736) (/.f64 x z) (-.f64 (+.f64 1 (/.f64 x z)) 1)))
(if (<=.f64 y -66166290698029168737259848452120843340393896959038721813771293700346314098327586603008) (+.f64 (+.f64 (/.f64 x z) 1) -1) (if (<=.f64 y 14863419322847740074666969568116736) (/.f64 x z) (+.f64 (+.f64 (/.f64 x z) 1) -1)))
(if (<=.f64 y -19240250832568705488608727608777321834735312970067543849601939249806074792360089330005311488) (/.f64 y (*.f64 y (/.f64 z x))) (if (<=.f64 y 3605973514669499/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 x z) (/.f64 y (/.f64 y (/.f64 x z)))))
(if (<=.f64 y -19240250832568705488608727608777321834735312970067543849601939249806074792360089330005311488) (/.f64 y (.f64 y (/.f64 z x))) (if (<=.f64 y 5202407577462543/1237940039285380274899124224) (/.f64 x z) (/.f64 y (.f64 y (/.f64 z x)))))
(/.f64 x z)

Compiler

Compiled 294 to 154 computations (47.6% saved)

soundness99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

760×	`distribute-rgt-out_binary64`
708×	`fma-def_binary64`
531×	`associate-*l/_binary64`
464×	`associate-l_binary64`
447×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	774
1	127	770
2	338	761
3	1034	759
4	4261	751
5	7261	751

Stop Event

1×	node limit

Compiler

Compiled 22 to 14 computations (36.4% saved)

end96.0ms (0.8%)

Compiler: Compiled 267 to 103 computations (61.4% saved)