Details

analyze327.0ms (3.3%)

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)

sample1.8s (18.2%)

Results

887.0ms	6067×	body	256	valid
541.0ms	1387×	body	1024	valid
210.0ms	799×	body	512	valid
103.0ms	707×	body	256	infinite
12.0ms	49×	body	512	infinite
6.0ms	17×	body	1024	infinite
2.0ms	3×	body	2048	valid

Bogosity

preprocess21.0ms (0.2%)

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)

simplify10.0ms (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)

prune1.0ms (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

2.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.5b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
▶	2.7b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.5b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
✓	5.7b	(*.f64 z (/.f64 y x))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series15.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite74.0ms (0.8%)

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	19
1	172	19
2	2498	19

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

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) 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)))))))

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) 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)))))))

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	730
1	76	730
2	204	730
3	576	730
4	2608	724
5	5939	720
6	6752	720

Stop Event

1×	node limit

Counts

178 → 117

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	2.7b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 26 to 7 computations (73.1% saved)

series8.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite81.0ms (0.8%)

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

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

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

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

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

760×	`distribute-rgt-out_binary64`
708×	`fma-def_binary64`
531×	`associate-*l/_binary64`
460×	`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	1035	759
4	4234	751
5	7234	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))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

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

eval137.0ms (1.4%)

Compiler: Compiled 4019 to 1440 computations (64.2% saved)

prune48.0ms (0.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	292	7	299
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	292	9	301

Error

Counts

301 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.9b	(/.f64 x z)
✓	9.5b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
▶	7.8b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
✓	2.7b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	8.5b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	8.8b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
▶	10.7b	(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
▶	5.8b	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
▶	7.5b	(/.f64 (sin.f64 y) (/.f64 (*.f64 z y) x))

Compiler

Compiled 166 to 106 computations (36.1% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 y) z)
✓	0.9b	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
✓	7.1b	(/.f64 (/.f64 (sin.f64 y) z) y)

Compiler

Compiled 26 to 7 computations (73.1% saved)

series11.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite84.0ms (0.9%)

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

simplify106.0ms (1.1%)

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))
(*.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 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))))

localize5.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.7b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
✓	3.9b	(/.f64 x (*.f64 y z))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series10.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	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	z	@	0	(/.f64 x (*.f64 y z))
0.0ms	x	@	inf	(/.f64 x (*.f64 y z))

rewrite135.0ms (1.4%)

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))))))))

simplify91.0ms (0.9%)

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)))

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) z)
✓	10.4b	(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite120.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
388×	`exp-prod_binary64`
376×	`pow-prod-down_binary64`
250×	`pow2_binary64`
187×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

Outputs

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

simplify96.0ms (1%)

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

108 → 80

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)))

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.5b	(/.f64 (sin.f64 y) (/.f64 (*.f64 z y) x))
✓	3.8b	(/.f64 (*.f64 z y) x)

Compiler

Compiled 24 to 7 computations (70.8% saved)

series17.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite101.0ms (1%)

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	19
1	172	19
2	2549	19

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	730
1	76	730
2	204	730
3	576	730
4	2608	724
5	5939	720
6	6752	720

Stop Event

1×	node limit

Counts

194 → 133

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))

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

eval118.0ms (1.2%)

Compiler: Compiled 7006 to 2414 computations (65.5% saved)

prune91.0ms (0.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	522	5	527
Fresh	2	0	2
Picked	0	1	1
Done	1	5	6
Total	525	11	536

Error

Counts

536 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.9b	(/.f64 x z)
✓	9.5b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
▶	34.7b	(*.f64 (/.f64 y z) (/.f64 x y))
✓	7.8b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
✓	2.7b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
▶	5.6b	(.f64 (/.f64 (sin.f64 y) (.f64 z y)) x)
✓	7.5b	(/.f64 (sin.f64 y) (/.f64 (*.f64 z y) x))
▶	33.0b	(*.f64 (/.f64 (/.f64 y z) y) x)
✓	10.7b	(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
▶	12.0b	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y)
▶	28.0b	(*.f64 (/.f64 1 z) x)

Compiler

Compiled 161 to 103 computations (36% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(.f64 (/.f64 (sin.f64 y) (.f64 z y)) x)
✓	4.6b	(/.f64 (sin.f64 y) (*.f64 z y))

Compiler

Compiled 25 to 7 computations (72% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite154.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

947×	`pow1_binary64`
875×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
855×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	166	21
2	2299	21

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def_binary64`
527×	`distribute-lft-out_binary64`
446×	`distribute-rgt-out_binary64`
402×	`associate-*l/_binary64`
395×	`associate-*r/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	43	734
1	111	734
2	276	734
3	721	732
4	2962	725
5	5525	724
6	6699	724

Stop Event

1×	node limit

Counts

125 → 82

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))

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

localize36.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 z) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.5%)

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)))))))

simplify8.0ms (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)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.1b	(*.f64 (/.f64 y z) (/.f64 x y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite129.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary64`
893×	`add-log-exp_binary64`
893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
81×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	155	10
2	2328	10

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	144

Stop Event

1×

saturated

Counts

89 → 54

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)

localize183.0ms (1.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (/.f64 y z) y) x)
✓	15.8b	(/.f64 (/.f64 y z) y)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
824×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	152	17
2	2223	17

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	240
1	8	240

Stop Event

1×

saturated

Counts

123 → 65

Calls

Call 1

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

localize39.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (sin.f64 y))
✓	3.1b	(/.f64 (*.f64 x (sin.f64 y)) z)
✓	8.6b	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y)

Compiler

Compiled 26 to 7 computations (73.1% saved)

series11.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite113.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`log-prod_binary64`
407×	`exp-prod_binary64`
332×	`pow-prod-down_binary64`
242×	`pow2_binary64`
198×	`div-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	172	27
2	2553	27

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-def_binary64`
573×	`associate-/l*_binary64`
550×	`distribute-lft-out_binary64`
530×	`associate-*l/_binary64`
505×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	62	1074
1	171	1069
2	491	1054
3	1524	1049
4	4497	1030
5	6707	1018
6	7703	1018

Stop Event

1×	node limit

Counts

242 → 173

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

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

eval155.0ms (1.6%)

Compiler: Compiled 4831 to 1741 computations (64% saved)

prune153.0ms (1.6%)

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	380	15	395
Fresh	0	0	0
Picked	0	1	1
Done	1	9	10
Total	381	25	406

Error

Counts

406 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.0b	(*.f64 (/.f64 (/.f64 y z) y) x)
	28.3b	(/.f64 y (*.f64 (/.f64 y x) z))
✓	27.9b	(/.f64 x z)
✓	9.5b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
	30.0b	(/.f64 (/.f64 y (/.f64 y x)) z)
✓	7.8b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
✓	2.7b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	34.2b	(/.f64 (.f64 y x) (.f64 y z))
✓	5.6b	(.f64 (/.f64 (sin.f64 y) (.f64 z y)) x)
✓	7.5b	(/.f64 (sin.f64 y) (/.f64 (*.f64 z y) x))
▶	35.2b	(-.f64 (+.f64 1 (/.f64 x z)) 1)
	29.8b	(.f64 (.f64 y (*.f64 (/.f64 1 z) (/.f64 1 y))) x)
	34.5b	(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x)))
▶	34.7b	(/.f64 (/.f64 x y) (/.f64 z y))
✓	12.0b	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y)
	38.5b	(*.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 y z) y)) 1) x)
	30.6b	(/.f64 (*.f64 (/.f64 x y) (neg.f64 y)) (neg.f64 z))
▶	28.7b	(/.f64 y (/.f64 z (/.f64 x y)))
✓	28.0b	(*.f64 (/.f64 1 z) x)
	28.3b	(/.f64 y (/.f64 (*.f64 y z) x))
✓	10.7b	(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
	36.5b	(/.f64 (/.f64 (*.f64 y x) z) y)
▶	27.9b	(/.f64 1 (/.f64 z x))
▶	33.0b	(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
	33.4b	(/.f64 x (*.f64 (/.f64 z y) y))

Compiler

Compiled 425 to 277 computations (34.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 1 (/.f64 z x))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
571×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	4
2	1611	4

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

59 → 36

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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.2b	(-.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)

rewrite64.0ms (0.7%)

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)))))

simplify27.0ms (0.3%)

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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	6.1b	(/.f64 z (/.f64 x y))
✓	9.6b	(/.f64 y (/.f64 z (/.f64 x y)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
408×	`exp-prod_binary64`
317×	`prod-exp_binary64`
275×	`pow-prod-down_binary64`
240×	`div-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	158	17
2	2500	17

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

Outputs

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

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	396
1	9	396
2	13	396
3	16	396
4	17	396

Stop Event

1×

saturated

Counts

204 → 134

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 (*.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 (*.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))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.0b	(/.f64 (/.f64 x y) (/.f64 z y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`log-prod_binary64`
391×	`exp-prod_binary64`
352×	`prod-exp_binary64`
299×	`pow-prod-down_binary64`
233×	`div-exp_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	10
2	2457	4

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	144

Stop Event

1×

saturated

Counts

111 → 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)

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)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
✓	16.0b	(*.f64 (/.f64 y z) (/.f64 1 y))

Compiler

Compiled 29 to 14 computations (51.7% saved)

series10.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
0.0ms	y	@	0	(*.f64 (/.f64 y z) (/.f64 1 y))
0.0ms	y	@	-inf	(*.f64 (/.f64 y z) (/.f64 1 y))
0.0ms	y	@	inf	(*.f64 (/.f64 y z) (/.f64 1 y))
0.0ms	z	@	-inf	(*.f64 (/.f64 y z) (/.f64 1 y))

rewrite147.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

983×	`pow1_binary64`
910×	`add-log-exp_binary64`
910×	`log1p-expm1-u_binary64`
910×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	191	8
2	2648	8

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	240
1	8	240

Stop Event

1×

saturated

Counts

132 → 72

Calls

Call 1

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

eval119.0ms (1.2%)

Compiler: Compiled 3907 to 1620 computations (58.5% saved)

prune157.0ms (1.6%)

Pruning

29 alts after pruning (15 fresh and 14 done)

	Pruned	Kept	Total
New	372	8	380
Fresh	3	7	10
Picked	1	0	1
Done	0	14	14
Total	376	29	405

Error

Counts

405 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.0b	(*.f64 (/.f64 (/.f64 y z) y) x)
	28.3b	(/.f64 y (*.f64 (/.f64 y x) z))
✓	27.9b	(/.f64 x z)
✓	9.5b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
	30.0b	(/.f64 (/.f64 y (/.f64 y x)) z)
✓	7.8b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
✓	2.7b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	33.0b	(*.f64 (/.f64 1 (/.f64 y (/.f64 y z))) x)
	34.2b	(/.f64 (.f64 y x) (.f64 y z))
✓	10.7b	(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
	28.3b	(.f64 (neg.f64 y) (/.f64 1 (.f64 z (neg.f64 (/.f64 y x)))))
	29.6b	(*.f64 (/.f64 y (/.f64 z (/.f64 1 y))) x)
✓	27.9b	(/.f64 1 (/.f64 z x))
✓	5.6b	(.f64 (/.f64 (sin.f64 y) (.f64 z y)) x)
	30.6b	(/.f64 (*.f64 y (/.f64 x y)) z)
✓	7.5b	(/.f64 (sin.f64 y) (/.f64 (*.f64 z y) x))
✓	35.2b	(-.f64 (+.f64 1 (/.f64 x z)) 1)
	29.8b	(.f64 (.f64 y (*.f64 (/.f64 1 z) (/.f64 1 y))) x)
	34.5b	(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x)))
✓	34.7b	(/.f64 (/.f64 x y) (/.f64 z y))
✓	12.0b	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y)
	33.4b	(/.f64 x (*.f64 (/.f64 z y) y))
	29.0b	(.f64 (/.f64 x (.f64 z y)) y)
✓	28.7b	(/.f64 y (/.f64 z (/.f64 x y)))
✓	28.0b	(*.f64 (/.f64 1 z) x)
	28.3b	(/.f64 y (*.f64 (/.f64 1 x) (/.f64 z (/.f64 1 y))))
	36.5b	(/.f64 (/.f64 (*.f64 y x) z) y)
	29.6b	(*.f64 (/.f64 y (/.f64 y (/.f64 1 z))) x)
	38.5b	(*.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 y z) y)) 1) x)

Compiler

Compiled 313 to 205 computations (34.5% saved)

regimes938.0ms (9.6%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

7 calls:

208.0ms	y
173.0ms	z
121.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
106.0ms	x
93.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Results

Error	Segments	Branch
0.4b	3	`x`
0.1b	4	`y`
0.2b	3	`z`
0.1b	3	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`
0.1b	3	`(*.f64 x (/.f64 (sin.f64 y) y))`
0.6b	2	`(/.f64 (sin.f64 y) y)`
0.6b	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 338 to 146 computations (56.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	1.9204762216457e-309
0.0ms	-9.060580697181624e-273	-8.369082002630323e-273

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes288.0ms (2.9%)

Counts

36 → 3

Calls

Call 1

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

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

Calls

3 calls:

126.0ms	x
96.0ms	z
55.0ms	y

Results

Error	Segments	Branch
0.9b	3	`x`
0.8b	3	`y`
1.0b	3	`z`

Compiler

Compiled 296 to 120 computations (59.5% saved)

bsearch111.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	4.157821438955228e-18	5.532905255431924e-15
32.0ms	-7.453258451605268e-6	-6.171096727027346e-6

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes402.0ms (4.1%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

3 calls:

195.0ms	z
135.0ms	x
63.0ms	y

Results

Error	Segments	Branch
3.3b	3	`x`
0.8b	3	`y`
3.3b	3	`z`

Compiler

Compiled 272 to 114 computations (58.1% saved)

bsearch69.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	4.157821438955228e-18	5.532905255431924e-15
29.0ms	-7.453258451605268e-6	-6.171096727027346e-6

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes263.0ms (2.7%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

3 calls:

223.0ms	y
18.0ms	x
15.0ms	z

Results

Error	Segments	Branch
5.6b	1	`x`
0.8b	3	`y`
5.6b	1	`z`

Compiler

Compiled 248 to 108 computations (56.5% saved)

bsearch75.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	4.157821438955228e-18	5.532905255431924e-15
30.0ms	-7.453258451605268e-6	-6.171096727027346e-6

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes146.0ms (1.5%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	y
59.0ms	x
19.0ms	z

Results

Error	Segments	Branch
5.6b	1	`x`
0.8b	3	`y`
5.6b	1	`z`

Compiler

Compiled 240 to 106 computations (55.8% saved)

bsearch131.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
100.0ms	4.157821438955228e-18	5.532905255431924e-15
30.0ms	-7.453258451605268e-6	-6.171096727027346e-6

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes229.0ms (2.3%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	y
71.0ms	x
48.0ms	z

Results

Error	Segments	Branch
22.9b	3	`x`
21.6b	3	`y`
23.0b	3	`z`

Compiler

Compiled 224 to 100 computations (55.4% saved)

bsearch146.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
114.0ms	173683702205.44278	91592852544861.22
32.0ms	-4.896529830071695e+69	-1.2739976823772208e+54

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes100.0ms (1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	z
35.0ms	x
17.0ms	y

Results

Error	Segments	Branch
23.0b	3	`x`
21.6b	3	`y`
23.9b	3	`z`

Compiler

Compiled 70 to 33 computations (52.9% saved)

bsearch87.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	1.3872364812726551e-9	2.54401920647738e-7
33.0ms	-4.896529830071695e+69	-1.2739976823772208e+54

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes116.0ms (1.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	y
24.0ms	z
22.0ms	x

Results

Error	Segments	Branch
24.4b	3	`x`
22.0b	3	`y`
23.9b	3	`z`

Compiler

Compiled 49 to 28 computations (42.9% saved)

bsearch105.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
72.0ms	1.172391021827818e+74	2.3628120097957732e+76
34.0ms	-4.896529830071695e+69	-1.2739976823772208e+54

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes96.0ms (1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x
30.0ms	z
26.0ms	y

Results

Error	Segments	Branch
24.4b	3	`x`
24.8b	3	`y`
25.5b	3	`z`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch140.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	3.3360514296809222e-93	6.320296874073666e-93
69.0ms	-3.729805295106613e-168	-1.681625449684882e-172

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes36.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	x
9.0ms	y
8.0ms	z

Results

Error	Segments	Branch
26.8b	3	`x`
27.9b	1	`y`
27.9b	1	`z`

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch97.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	3.61271154004458e-11	5.8841571264339895e-8
49.0ms	3.3360514296809222e-93	6.320296874073666e-93

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes27.0ms (0.3%)

Accuracy

Total -0.5b remaining (-1.7%)

Threshold costs -0.5b (-1.7%)

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:

8.0ms	y
8.0ms	x
8.0ms	z

Results

Error	Segments	Branch
27.9b	1	`x`
27.9b	1	`y`
27.9b	1	`z`

Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	402
1	91	402
2	92	402

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) -5481739131412499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) 0) (.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (/.f64 (.f64 (sin.f64 y) x) (.f64 y z)) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (/.f64 (.f64 (sin.f64 y) x) (.f64 y z)) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (.f64 (/.f64 (sin.f64 y) (.f64 z y)) x)))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (.f64 (sin.f64 y) (/.f64 x (.f64 y z))) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (.f64 (/.f64 (sin.f64 y) (.f64 z y)) x)))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (.f64 (/.f64 (sin.f64 y) (.f64 z y)) x) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (.f64 (/.f64 (sin.f64 y) (.f64 z y)) x)))
(if (<=.f64 y -4896529830071694625326794622368067090724651385730969900317832669822976) (/.f64 y (*.f64 (/.f64 y x) z)) (if (<=.f64 y 5691267553867949/32768) (/.f64 x z) (-.f64 (+.f64 1 (/.f64 x z)) 1)))
(if (<=.f64 y -4896529830071694625326794622368067090724651385730969900317832669822976) (/.f64 y (.f64 (/.f64 y x) z)) (if (<=.f64 y 6708264000487435/4835703278458516698824704) (/.f64 x z) (/.f64 y (.f64 (/.f64 y x) z))))
(if (<=.f64 y -4896529830071694625326794622368067090724651385730969900317832669822976) (.f64 (/.f64 x (.f64 z y)) y) (if (<=.f64 y 117239102182781803076438424074950925930057241283716693057067556232350400512) (/.f64 x z) (.f64 (/.f64 x (.f64 z y)) y)))
(if (<=.f64 x -495260324510069/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 x z) (if (<=.f64 x 1958714710232293/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (/.f64 (.f64 y (/.f64 x y)) z) (/.f64 (.f64 y x) (*.f64 y z))))
(if (<=.f64 x 1958714710232293/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (/.f64 x z) (if (<=.f64 x 2795200166130959/77371252455336267181195264) (/.f64 (.f64 y x) (.f64 y z)) (/.f64 x z)))
(/.f64 x z)

Outputs
(if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) -5481739131412499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) 0) (.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
(if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) -5481739131412499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) 0) (.f64 x (/.f64 (/.f64 (sin.f64 y) z) y)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (/.f64 (.f64 (sin.f64 y) x) (.f64 y z)) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (/.f64 (.f64 x (sin.f64 y)) (.f64 y z)) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (/.f64 (.f64 (sin.f64 y) x) (.f64 y z)) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (.f64 (/.f64 (sin.f64 y) (.f64 z y)) x)))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (/.f64 (.f64 x (sin.f64 y)) (.f64 y z)) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (.f64 x (/.f64 (sin.f64 y) (.f64 y z)))))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (.f64 (sin.f64 y) (/.f64 x (.f64 y z))) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (.f64 (/.f64 (sin.f64 y) (.f64 z y)) x)))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (.f64 (sin.f64 y) (/.f64 x (.f64 y z))) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (.f64 x (/.f64 (sin.f64 y) (.f64 y z)))))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (.f64 (/.f64 (sin.f64 y) (.f64 z y)) x) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (.f64 (/.f64 (sin.f64 y) (.f64 z y)) x)))
(if (<=.f64 y -8799254475006407/1180591620717411303424) (.f64 x (/.f64 (sin.f64 y) (.f64 y z))) (if (<=.f64 y 5397160798958997/1298074214633706907132624082305024) (/.f64 x z) (.f64 x (/.f64 (sin.f64 y) (.f64 y z)))))
(if (<=.f64 y -4896529830071694625326794622368067090724651385730969900317832669822976) (/.f64 y (*.f64 (/.f64 y x) z)) (if (<=.f64 y 5691267553867949/32768) (/.f64 x z) (-.f64 (+.f64 1 (/.f64 x z)) 1)))
(if (<=.f64 y -4896529830071694625326794622368067090724651385730969900317832669822976) (/.f64 y (*.f64 z (/.f64 y x))) (if (<=.f64 y 5691267553867949/32768) (/.f64 x z) (+.f64 (+.f64 (/.f64 x z) 1) -1)))
(if (<=.f64 y -4896529830071694625326794622368067090724651385730969900317832669822976) (/.f64 y (.f64 (/.f64 y x) z)) (if (<=.f64 y 6708264000487435/4835703278458516698824704) (/.f64 x z) (/.f64 y (.f64 (/.f64 y x) z))))
(if (<=.f64 y -4896529830071694625326794622368067090724651385730969900317832669822976) (/.f64 y (.f64 z (/.f64 y x))) (if (<=.f64 y 6708264000487435/4835703278458516698824704) (/.f64 x z) (/.f64 y (.f64 z (/.f64 y x)))))
(if (<=.f64 y -4896529830071694625326794622368067090724651385730969900317832669822976) (.f64 (/.f64 x (.f64 z y)) y) (if (<=.f64 y 117239102182781803076438424074950925930057241283716693057067556232350400512) (/.f64 x z) (.f64 (/.f64 x (.f64 z y)) y)))
(if (<=.f64 y -4896529830071694625326794622368067090724651385730969900317832669822976) (.f64 y (/.f64 x (.f64 y z))) (if (<=.f64 y 117239102182781803076438424074950925930057241283716693057067556232350400512) (/.f64 x z) (.f64 y (/.f64 x (.f64 y z)))))
(if (<=.f64 x -495260324510069/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 x z) (if (<=.f64 x 1958714710232293/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (/.f64 (.f64 y (/.f64 x y)) z) (/.f64 (.f64 y x) (*.f64 y z))))
(if (<=.f64 x -495260324510069/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 x z) (if (<=.f64 x 1958714710232293/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (/.f64 (.f64 y (/.f64 x y)) z) (/.f64 (.f64 x y) (*.f64 y z))))
(if (<=.f64 x 1958714710232293/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (/.f64 x z) (if (<=.f64 x 2795200166130959/77371252455336267181195264) (/.f64 (.f64 y x) (.f64 y z)) (/.f64 x z)))
(if (<=.f64 x 1958714710232293/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (/.f64 x z) (if (<=.f64 x 2795200166130959/77371252455336267181195264) (/.f64 (.f64 x y) (.f64 y z)) (/.f64 x z)))
(/.f64 x z)

Compiler

Compiled 307 to 155 computations (49.5% saved)

soundness10.0ms (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

Compiler

Compiled 44 to 28 computations (36.4% saved)

end93.0ms (1%)

Compiler: Compiled 277 to 91 computations (67.1% saved)