Details

analyze771.0ms (16.5%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.0s (42.3%)

Results

779.0ms	5567×	body	128	valid
650.0ms	1385×	body	1024	valid
289.0ms	845×	body	512	valid
111.0ms	454×	body	256	valid
84.0ms	545×	body	128	invalid
19.0ms	58×	body	512	invalid
16.0ms	34×	body	1024	invalid
14.0ms	53×	body	256	invalid
3.0ms	5×	body	2048	valid

preprocess20.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	8.8b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
▶	2.6b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 44 to 28 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	2.6b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series17.0ms (0.4%)

Counts

3 → 64

Calls

18 calls:

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

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

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

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

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

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

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	774
1	127	770
2	338	761
3	1033	759
4	4105	759

Stop Event

1×	node limit

Counts

180 → 141

Calls

Call 1

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

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

eval30.0ms (0.6%)

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

prune244.0ms (5.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	134	7	141
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	136	7	143

Error

Counts

143 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	3.0b	(.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)
	10.0b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
	4.3b	(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)
	3.0b	(/.f64 (.f64 x (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) z)
	2.7b	(/.f64 (.f64 x (.f64 (/.f64 1 y) (sin.f64 y))) z)
	2.6b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
▶	2.4b	(.f64 x (.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z)))

Compiler

Compiled 194 to 132 computations (32% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.2b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z))
✓	2.3b	(.f64 x (.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z)))

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
185×	`expm1-udef_binary64`
185×	`log1p-udef_binary64`
160×	`log-pow_binary64`
147×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	211	21
2	2902	21

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

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

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def_binary64`
403×	`associate-*l/_binary64`
362×	`associate-l_binary64`
348×	`associate-r_binary64`
301×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	734
1	111	734
2	276	734
3	721	732
4	2804	725

Stop Event

1×	node limit

Counts

139 → 94

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 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))

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

eval31.0ms (0.7%)

Compiler: Compiled 1886 to 828 computations (56.1% saved)

prune288.0ms (6.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	139	7	146

Error

Counts

146 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	10.0b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
▶	2.6b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	4.3b	(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)
	3.0b	(/.f64 (.f64 x (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) z)
	2.7b	(/.f64 (.f64 x (.f64 (/.f64 1 y) (sin.f64 y))) z)
	3.0b	(.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)
✓	2.4b	(.f64 x (.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z)))

Compiler

Compiled 181 to 123 computations (32% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	0.2b	(/.f64 y (sin.f64 y))
✓	2.6b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)

series6.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`log-prod_binary64`
192×	`log-div_binary64`
171×	`expm1-udef_binary64`
171×	`log1p-udef_binary64`
147×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	178	27
2	2758	27

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
501×	`associate-l_binary64`
429×	`associate-r_binary64`
286×	`associate-/l*_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	774
1	137	772
2	369	762
3	1126	759
4	4364	759

Stop Event

1×	node limit

Counts

193 → 153

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

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

eval34.0ms (0.7%)

Compiler: Compiled 2123 to 793 computations (62.6% saved)

prune310.0ms (6.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	150	3	153
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	154	6	160

Error

Counts

160 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	4.3b	(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)
	7.4b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)
	10.0b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
▶	2.9b	(/.f64 (/.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))) z)
	3.0b	(.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)
✓	2.4b	(.f64 x (.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z)))

Compiler

Compiled 155 to 105 computations (32.3% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
✓	0.6b	(cbrt.f64 y)
✓	0.6b	(cbrt.f64 (sin.f64 y))
✓	2.6b	(/.f64 (/.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))) z)

series18.0ms (0.4%)

Counts

4 → 52

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(cbrt.f64 (sin.f64 y))
3.0ms	y	@	-inf	(/.f64 (/.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))) z)
2.0ms	y	@	-inf	(cbrt.f64 (sin.f64 y))
1.0ms	y	@	-inf	(cbrt.f64 y)
1.0ms	y	@	0	(cbrt.f64 (sin.f64 y))

rewrite70.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

193×	`prod-diff_binary64`
168×	`add-sqr-sqrt_binary64`
167×	`pow1_binary64`
165×	`*-un-lft-identity_binary64`
156×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	345	28
2	4743	28

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) 2) (.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)) (pow.f64 (cbrt.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)) 2) (cbrt.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (neg.f64 (/.f64 (sin.f64 y) y))) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (.f64 x (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) 1) (/.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (.f64 x (/.f64 (sin.f64 y) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) y)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 y (cbrt.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 1/6) (.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)))) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2))))))))

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

680×	`fma-def_binary64`
508×	`times-frac_binary64`
344×	`associate-r_binary64`
343×	`associate-l_binary64`
327×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	582
1	90	582
2	227	582
3	652	582
4	2868	576

Stop Event

1×	node limit

Counts

156 → 115

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))
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)

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

eval33.0ms (0.7%)

Compiler: Compiled 2270 to 973 computations (57.1% saved)

prune175.0ms (3.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	115	6	121

Error

Counts

121 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	4.3b	(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)
	7.4b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)
	10.0b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
✓	2.9b	(/.f64 (/.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))) z)
	3.0b	(.f64 (/.f64 x (.f64 z (/.f64 y (sin.f64 y)))) 1)
✓	2.4b	(.f64 x (.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z)))

Compiler

Compiled 84 to 57 computations (32.1% saved)

regimes103.0ms (2.2%)

Accuracy

Total -19.3b remaining (-12287.8%)

Threshold costs -19.3b (-12287.8%)

Counts

13 → 3

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
15.0ms	0.7b	2	`x`
15.0ms	1.1b	2	`y`
23.0ms	0.2b	3	`z`
18.0ms	0.4b	3	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`
22.0ms	0.2b	3	`(*.f64 x (/.f64 (sin.f64 y) y))`
7.0ms	2.4b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 178 to 82 computations (53.9% saved)

bsearch132.0ms (2.8%)

Algorithm

2×	binary-search

Steps

Time	Point		Range
72.0ms	7.560536360523144e-79	∈ [	7.560536360523144e-79	,	1.1325492659095092e-76	]
59.0ms	-28458640656.967472	∈ [	-28458640656.967472	,	-1045415259.19462	]

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	28	48

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 z -7460261896380081/262144) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 z 1614920765068609536/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) 1) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))

Outputs

(if (<=.f64 z -7460261896380081/262144) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 z 1614920765068609536/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) 1) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))

(if (<=.f64 z -7460261896380081/262144) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z) (if (<=.f64 z 788535529818657/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))

end20.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 70 to 36 computations (48.6% saved)

Details

analyze771.0ms (16.5%)

sample2.0s (42.3%)

preprocess20.0ms (0.4%)

simplify7.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series17.0ms (0.4%)

rewrite52.0ms (1.1%)

simplify43.0ms (0.9%)

eval30.0ms (0.6%)

prune244.0ms (5.2%)

localize7.0ms (0.2%)

series6.0ms (0.1%)

rewrite47.0ms (1%)

simplify39.0ms (0.8%)

eval31.0ms (0.7%)

prune288.0ms (6.1%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite59.0ms (1.3%)

simplify54.0ms (1.2%)

eval34.0ms (0.7%)

prune310.0ms (6.6%)

localize15.0ms (0.3%)

series18.0ms (0.4%)

rewrite70.0ms (1.5%)

simplify48.0ms (1%)

eval33.0ms (0.7%)

prune175.0ms (3.7%)

regimes103.0ms (2.2%)

bsearch132.0ms (2.8%)

simplify2.0ms (0.1%)

end20.0ms (0.4%)

Profiling