Details

analyze550.0ms (13.5%)

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
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.1s (50.5%)

Results

772.0ms	1399×	body	1024	valid
744.0ms	5550×	body	128	valid
309.0ms	855×	body	512	valid
102.0ms	448×	body	256	valid
72.0ms	556×	body	128	invalid
17.0ms	53×	body	512	invalid
10.0ms	44×	body	256	invalid
9.0ms	19×	body	1024	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess20.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	7.7b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
▶	2.4b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 63 to 38 computations (39.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	2.4b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series28.0ms (0.7%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	y	@	inf	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
2.0ms	y	@	-inf	(*.f64 x (/.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	z	@	0	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite54.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

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

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

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	790
1	144	783
2	426	765
3	1510	759

Stop Event

1×	node limit

Counts

180 → 141

Calls

Call 1

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

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

prune112.0ms (2.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	134	7	141
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	134	9	143

Error

Counts

143 → 9

Alt Table

Status	Error	Program
▶	2.8b	(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)) z)
	10.3b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	3.3b	(.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)))
	27.7b	(pow.f64 (sqrt.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 2)
	3.2b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
	7.7b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
✓	2.4b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	30.6b	(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) (sqrt.f64 z)))
	3.3b	(*.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))

Compiler

Compiled 2161 to 901 computations (58.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
✓	0.3b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
✓	0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))
✓	2.4b	(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)) z)

series17.0ms (0.4%)

Counts

4 → 68

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)) z)
3.0ms	y	@	inf	(cbrt.f64 (/.f64 (sin.f64 y) y))
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
1.0ms	y	@	-inf	(cbrt.f64 (/.f64 (sin.f64 y) y))
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)

rewrite58.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary64`
193×	`expm1-udef_binary64`
193×	`log1p-udef_binary64`
167×	`log-pow_binary64`
140×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	240	35
2	2978	35

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

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

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

simplify53.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

481×	`fma-neg_binary64`
402×	`associate-/l*_binary64`
249×	`associate-/r*_binary64`
185×	`fma-def_binary64`
177×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	842
1	178	835
2	528	815
3	1933	814

Stop Event

1×	node limit

Counts

220 → 182

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 x z)
(-.f64 (/.f64 x z) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
1
(-.f64 1 (*.f64 1/18 (pow.f64 y 2)))
(-.f64 1 (+.f64 (.f64 1/18 (pow.f64 y 2)) (.f64 1/3240 (pow.f64 y 4))))
(-.f64 1 (+.f64 (.f64 1/18 (pow.f64 y 2)) (+.f64 (.f64 1/3240 (pow.f64 y 4)) (*.f64 53/1224720 (pow.f64 y 6)))))
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 1/120 (pow.f64 y 4))) (.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 1/120 (pow.f64 y 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(-.f64 x (.f64 1/6 (.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x) (.f64 1/6 (.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) x)) (.f64 1/6 (.f64 (pow.f64 y 2) x))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 x z)
(-.f64 (/.f64 x z) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(+.f64 (/.f64 x z) (.f64 -1/6 (/.f64 (.f64 x (*.f64 y y)) z)))
(+.f64 (/.f64 x z) (/.f64 (.f64 (.f64 (*.f64 -1/6 y) y) x) z))
(fma.f64 (.f64 (/.f64 x z) (.f64 y y)) -1/6 (/.f64 x z))
(fma.f64 (.f64 x (.f64 (/.f64 y z) y)) -1/6 (/.f64 x z))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(+.f64 (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (/.f64 x z)) (.f64 -1/6 (/.f64 (.f64 x (.f64 y y)) z)))
(fma.f64 1/120 (.f64 (/.f64 (pow.f64 y 4) z) x) (+.f64 (/.f64 x z) (/.f64 (.f64 (.f64 (.f64 -1/6 y) y) x) z)))
(fma.f64 (.f64 (/.f64 x z) (.f64 y y)) -1/6 (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 (.f64 x (.f64 (/.f64 y z) y)) -1/6 (fma.f64 1/120 (/.f64 (*.f64 x (pow.f64 y 4)) z) (/.f64 x z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z))))
(-.f64 (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (/.f64 x z)) (fma.f64 1/6 (/.f64 (.f64 x (.f64 y y)) z) (.f64 1/5040 (/.f64 (*.f64 x (pow.f64 y 6)) z))))
(-.f64 (fma.f64 1/120 (.f64 (/.f64 (pow.f64 y 4) z) x) (/.f64 x z)) (fma.f64 1/5040 (.f64 (/.f64 (pow.f64 y 6) z) x) (/.f64 1/6 (/.f64 z (.f64 y (.f64 y x))))))
(+.f64 (fma.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)) (fma.f64 (.f64 (/.f64 x z) (.f64 y y)) -1/6 (.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) x)))
(+.f64 (/.f64 x z) (fma.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z) (.f64 x (-.f64 (.f64 -1/6 (.f64 (/.f64 y z) y)) (*.f64 1/5040 (/.f64 (pow.f64 y 6) 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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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)))
1
(-.f64 1 (*.f64 1/18 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/18 (.f64 y y)))
(+.f64 1 (.f64 (.f64 y y) -1/18))
(fma.f64 (*.f64 y y) -1/18 1)
(-.f64 1 (+.f64 (.f64 1/18 (pow.f64 y 2)) (.f64 1/3240 (pow.f64 y 4))))
(-.f64 1 (fma.f64 1/18 (.f64 y y) (.f64 (pow.f64 y 4) 1/3240)))
(-.f64 1 (fma.f64 (.f64 y y) 1/18 (.f64 (pow.f64 y 4) 1/3240)))
(-.f64 (fma.f64 (.f64 y y) -1/18 1) (.f64 (pow.f64 y 4) 1/3240))
(+.f64 1 (fma.f64 y (.f64 y -1/18) (.f64 (pow.f64 y 4) -1/3240)))
(-.f64 1 (+.f64 (.f64 1/18 (pow.f64 y 2)) (+.f64 (.f64 1/3240 (pow.f64 y 4)) (*.f64 53/1224720 (pow.f64 y 6)))))
(-.f64 1 (fma.f64 1/18 (.f64 y y) (fma.f64 1/3240 (pow.f64 y 4) (.f64 (pow.f64 y 6) 53/1224720))))
(-.f64 1 (fma.f64 (.f64 y y) 1/18 (fma.f64 (pow.f64 y 4) 1/3240 (.f64 (pow.f64 y 6) 53/1224720))))
(-.f64 (fma.f64 (.f64 y y) -1/18 1) (fma.f64 (pow.f64 y 4) 1/3240 (.f64 (pow.f64 y 6) 53/1224720)))
(+.f64 (fma.f64 (.f64 y y) -1/18 1) (fma.f64 (pow.f64 y 4) -1/3240 (.f64 (pow.f64 y 6) -53/1224720)))
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 (.f64 -1/6 y) y))
(fma.f64 (*.f64 y y) -1/6 1)
(-.f64 (+.f64 1 (.f64 1/120 (pow.f64 y 4))) (.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (-.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 (.f64 -1/6 y) y)))
(fma.f64 1/120 (pow.f64 y 4) (fma.f64 (*.f64 y y) -1/6 1))
(fma.f64 (*.f64 y y) -1/6 (fma.f64 1/120 (pow.f64 y 4) 1))
(-.f64 (+.f64 1 (.f64 1/120 (pow.f64 y 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6))))
(+.f64 1 (-.f64 (.f64 1/120 (pow.f64 y 4)) (fma.f64 1/6 (.f64 y y) (*.f64 1/5040 (pow.f64 y 6)))))
(-.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (fma.f64 1/5040 (pow.f64 y 6) (.f64 (.f64 1/6 y) y)))
(+.f64 (fma.f64 1/120 (pow.f64 y 4) (fma.f64 (.f64 y y) -1/6 1)) (.f64 (pow.f64 y 6) -1/5040))
(+.f64 1 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/120) -1/6) (*.f64 (pow.f64 y 6) -1/5040)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
x
(-.f64 x (.f64 1/6 (.f64 (pow.f64 y 2) x)))
(+.f64 x (.f64 -1/6 (.f64 x (*.f64 y y))))
(+.f64 x (.f64 (.f64 (*.f64 -1/6 y) y) x))
(.f64 (fma.f64 (.f64 y y) -1/6 1) x)
(-.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x) (.f64 1/6 (.f64 (pow.f64 y 2) x)))
(+.f64 (fma.f64 1/120 (.f64 x (pow.f64 y 4)) x) (.f64 -1/6 (.f64 x (.f64 y y))))
(+.f64 (.f64 (fma.f64 1/120 (pow.f64 y 4) 1) x) (.f64 (.f64 (.f64 -1/6 y) y) x))
(.f64 x (fma.f64 1/120 (pow.f64 y 4) (fma.f64 (.f64 y y) -1/6 1)))
(.f64 x (fma.f64 (.f64 y y) -1/6 (fma.f64 1/120 (pow.f64 y 4) 1)))
(-.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) x)) (.f64 1/6 (.f64 (pow.f64 y 2) x))))
(-.f64 (fma.f64 1/120 (.f64 x (pow.f64 y 4)) x) (fma.f64 1/5040 (.f64 x (pow.f64 y 6)) (.f64 1/6 (.f64 x (*.f64 y y)))))
(-.f64 (.f64 (fma.f64 1/120 (pow.f64 y 4) 1) x) (.f64 x (fma.f64 1/5040 (pow.f64 y 6) (.f64 (.f64 1/6 y) y))))
(+.f64 x (.f64 x (fma.f64 1/120 (pow.f64 y 4) (fma.f64 (.f64 y y) -1/6 (*.f64 (pow.f64 y 6) -1/5040)))))
(+.f64 x (.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/120) -1/6) (.f64 (pow.f64 y 6) -1/5040))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))

prune138.0ms (3.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	182	9	191

Error

Counts

191 → 9

Alt Table

Status	Error	Program
✓	2.8b	(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)) z)
	10.3b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	3.3b	(.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)))
	27.7b	(pow.f64 (sqrt.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 2)
▶	3.2b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
	7.7b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
✓	2.4b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	30.6b	(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) (sqrt.f64 z)))
	3.3b	(*.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))

Compiler

Compiled 2911 to 1238 computations (57.5% 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 x (/.f64 1 z))
✓	3.0b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite45.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`log-prod_binary64`
183×	`expm1-udef_binary64`
183×	`log1p-udef_binary64`
173×	`pow3_binary64`
159×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	208	16
2	2759	16

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	580
1	85	580
2	242	576
3	754	574
4	3598	570

Stop Event

1×	node limit

Counts

128 → 75

Calls

Call 1

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

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

prune101.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	2	4	6
Picked	0	1	1
Done	1	1	2
Total	122	7	129

Error

Counts

129 → 7

Alt Table

Status	Error	Program
	7.8b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
	10.3b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
▶	3.3b	(.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)))
	27.7b	(pow.f64 (sqrt.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 2)
✓	3.2b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
	7.7b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
✓	2.4b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 1781 to 789 computations (55.7% saved)

localize27.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (/.f64 1 z))
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)
✓	1.0b	(.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)))
✓	6.5b	(cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y))))

series29.0ms (0.7%)

Counts

4 → 60

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y))))
2.0ms	y	@	0	(*.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (/.f64 1 z))
2.0ms	x	@	-inf	(.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)))
2.0ms	z	@	0	(*.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (/.f64 1 z))
1.0ms	x	@	-inf	(*.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (/.f64 1 z))

rewrite62.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

241×	`expm1-udef_binary64`
241×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
139×	`pow1_binary64`
138×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	297	51
2	3842	51

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

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

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

422×	`unswap-sqr_binary64`
416×	`associate-r_binary64`
384×	`associate-l_binary64`
324×	`fma-def_binary64`
225×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	1030
1	257	956
2	868	910
3	4186	910

Stop Event

1×	node limit

Counts

176 → 151

Calls

Call 1

Inputs
(pow.f64 x 1/3)
(-.f64 (pow.f64 x 1/3) (.f64 1/18 (.f64 (pow.f64 y 2) (pow.f64 x 1/3))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3240 (.f64 (pow.f64 y 4) (pow.f64 x 1/3))) (.f64 1/18 (.f64 (pow.f64 y 2) (pow.f64 x 1/3)))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3240 (.f64 (pow.f64 y 4) (pow.f64 x 1/3))) (+.f64 (.f64 1/18 (.f64 (pow.f64 y 2) (pow.f64 x 1/3))) (.f64 53/1224720 (.f64 (pow.f64 y 6) (pow.f64 x 1/3))))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 x z)
(-.f64 (/.f64 x z) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(pow.f64 (pow.f64 x 2) 1/3)
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 x 2) 1/3))))
(-.f64 (+.f64 (.f64 1/405 (.f64 (pow.f64 y 4) (pow.f64 (pow.f64 x 2) 1/3))) (pow.f64 (pow.f64 x 2) 1/3)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 x 2) 1/3))))
(-.f64 (+.f64 (.f64 1/405 (.f64 (pow.f64 y 4) (pow.f64 (pow.f64 x 2) 1/3))) (pow.f64 (pow.f64 x 2) 1/3)) (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 x 2) 1/3))) (.f64 4/76545 (.f64 (pow.f64 y 6) (pow.f64 (pow.f64 x 2) 1/3)))))
(*.f64 (/.f64 1 z) (pow.f64 x 1/3))
(-.f64 (.f64 (/.f64 1 z) (pow.f64 x 1/3)) (.f64 1/18 (*.f64 (/.f64 (pow.f64 y 2) z) (pow.f64 x 1/3))))
(-.f64 (.f64 (/.f64 1 z) (pow.f64 x 1/3)) (+.f64 (.f64 1/18 (.f64 (/.f64 (pow.f64 y 2) z) (pow.f64 x 1/3))) (.f64 1/3240 (*.f64 (/.f64 (pow.f64 y 4) z) (pow.f64 x 1/3)))))
(-.f64 (.f64 (/.f64 1 z) (pow.f64 x 1/3)) (+.f64 (.f64 1/18 (.f64 (/.f64 (pow.f64 y 2) z) (pow.f64 x 1/3))) (+.f64 (.f64 1/3240 (.f64 (/.f64 (pow.f64 y 4) z) (pow.f64 x 1/3))) (.f64 53/1224720 (*.f64 (/.f64 (pow.f64 y 6) z) (pow.f64 x 1/3))))))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))

Outputs
(pow.f64 x 1/3)
(cbrt.f64 x)
(-.f64 (pow.f64 x 1/3) (.f64 1/18 (.f64 (pow.f64 y 2) (pow.f64 x 1/3))))
(+.f64 (cbrt.f64 x) (.f64 -1/18 (.f64 (cbrt.f64 x) (*.f64 y y))))
(+.f64 (cbrt.f64 x) (.f64 (.f64 (cbrt.f64 x) (*.f64 y y)) -1/18))
(.f64 (cbrt.f64 x) (+.f64 (.f64 (*.f64 y y) -1/18) 1))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3240 (.f64 (pow.f64 y 4) (pow.f64 x 1/3))) (.f64 1/18 (.f64 (pow.f64 y 2) (pow.f64 x 1/3)))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3240 (.f64 (cbrt.f64 x) (pow.f64 y 4)) (.f64 1/18 (.f64 (cbrt.f64 x) (.f64 y y)))))
(-.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (+.f64 (.f64 1/18 (.f64 y y)) (.f64 1/3240 (pow.f64 y 4)))))
(.f64 (cbrt.f64 x) (-.f64 1 (fma.f64 1/3240 (pow.f64 y 4) (.f64 1/18 (*.f64 y y)))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3240 (.f64 (pow.f64 y 4) (pow.f64 x 1/3))) (+.f64 (.f64 1/18 (.f64 (pow.f64 y 2) (pow.f64 x 1/3))) (.f64 53/1224720 (.f64 (pow.f64 y 6) (pow.f64 x 1/3))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3240 (.f64 (cbrt.f64 x) (pow.f64 y 4)) (fma.f64 1/18 (.f64 (cbrt.f64 x) (.f64 y y)) (.f64 53/1224720 (*.f64 (cbrt.f64 x) (pow.f64 y 6))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3240 (.f64 (cbrt.f64 x) (pow.f64 y 4)) (.f64 (cbrt.f64 x) (+.f64 (.f64 53/1224720 (pow.f64 y 6)) (.f64 1/18 (*.f64 y y))))))
(-.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (+.f64 (.f64 1/3240 (pow.f64 y 4)) (fma.f64 53/1224720 (pow.f64 y 6) (.f64 1/18 (.f64 y y))))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 x z)
(-.f64 (/.f64 x z) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(+.f64 (/.f64 x z) (.f64 -1/6 (/.f64 (.f64 y y) (/.f64 z x))))
(+.f64 (/.f64 x z) (*.f64 (/.f64 y (/.f64 (/.f64 z x) y)) -1/6))
(fma.f64 (.f64 x (.f64 (/.f64 y z) y)) -1/6 (/.f64 x z))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)))
(+.f64 (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (/.f64 x z)) (.f64 -1/6 (/.f64 (.f64 y y) (/.f64 z x))))
(+.f64 (fma.f64 1/120 (.f64 (/.f64 (pow.f64 y 4) z) x) (/.f64 x z)) (.f64 (/.f64 y (/.f64 (/.f64 z x) y)) -1/6))
(fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 (.f64 x (*.f64 (/.f64 y z) y)) -1/6 (/.f64 x z)))
(-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (/.f64 x z)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z))))
(-.f64 (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (/.f64 x z)) (fma.f64 1/6 (/.f64 (.f64 y y) (/.f64 z x)) (.f64 1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)))))
(-.f64 (fma.f64 1/120 (.f64 (/.f64 (pow.f64 y 4) z) x) (/.f64 x z)) (fma.f64 1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (.f64 1/5040 (/.f64 x (/.f64 z (pow.f64 y 6))))))
(+.f64 (fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)) (fma.f64 (.f64 x (.f64 (/.f64 y z) y)) -1/6 (.f64 (*.f64 (/.f64 x z) (pow.f64 y 6)) -1/5040)))
(+.f64 (fma.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 (.f64 x (.f64 (/.f64 y z) y)) -1/6 (/.f64 x z))) (.f64 (*.f64 (/.f64 x z) (pow.f64 y 6)) -1/5040))
(/.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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)))
(pow.f64 (pow.f64 x 2) 1/3)
(cbrt.f64 (*.f64 x x))
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 x 2) 1/3))))
(+.f64 (cbrt.f64 (.f64 x x)) (.f64 -1/9 (.f64 (.f64 y y) (cbrt.f64 (*.f64 x x)))))
(+.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 -1/9 (.f64 y y)) (cbrt.f64 (*.f64 x x))))
(.f64 (+.f64 (.f64 (.f64 y y) -1/9) 1) (cbrt.f64 (.f64 x x)))
(-.f64 (+.f64 (.f64 1/405 (.f64 (pow.f64 y 4) (pow.f64 (pow.f64 x 2) 1/3))) (pow.f64 (pow.f64 x 2) 1/3)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 x 2) 1/3))))
(+.f64 (fma.f64 1/405 (.f64 (pow.f64 y 4) (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 x x))) (.f64 -1/9 (.f64 (.f64 y y) (cbrt.f64 (*.f64 x x)))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 y 4) 1/405) 1) (cbrt.f64 (.f64 x x))) (.f64 (.f64 -1/9 (.f64 y y)) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (-.f64 (fma.f64 (pow.f64 y 4) 1/405 1) (.f64 (.f64 y y) 1/9)))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (fma.f64 (pow.f64 y 4) 1/405 1) (.f64 (.f64 y y) -1/9)))
(-.f64 (+.f64 (.f64 1/405 (.f64 (pow.f64 y 4) (pow.f64 (pow.f64 x 2) 1/3))) (pow.f64 (pow.f64 x 2) 1/3)) (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 x 2) 1/3))) (.f64 4/76545 (.f64 (pow.f64 y 6) (pow.f64 (pow.f64 x 2) 1/3)))))
(-.f64 (fma.f64 1/405 (.f64 (pow.f64 y 4) (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 x x))) (fma.f64 1/9 (.f64 (.f64 y y) (cbrt.f64 (.f64 x x))) (.f64 4/76545 (.f64 (pow.f64 y 6) (cbrt.f64 (*.f64 x x))))))
(-.f64 (.f64 (+.f64 (.f64 (pow.f64 y 4) 1/405) 1) (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x x)) (+.f64 (.f64 (pow.f64 y 6) 4/76545) (.f64 (.f64 y y) 1/9))))
(+.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (.f64 x x)) (-.f64 (.f64 (pow.f64 y 4) 1/405) (fma.f64 (pow.f64 y 6) 4/76545 (.f64 (.f64 y y) 1/9)))))
(*.f64 (/.f64 1 z) (pow.f64 x 1/3))
(*.f64 (cbrt.f64 x) (/.f64 1 z))
(/.f64 (cbrt.f64 x) z)
(-.f64 (.f64 (/.f64 1 z) (pow.f64 x 1/3)) (.f64 1/18 (*.f64 (/.f64 (pow.f64 y 2) z) (pow.f64 x 1/3))))
(+.f64 (.f64 (cbrt.f64 x) (/.f64 1 z)) (.f64 -1/18 (.f64 (cbrt.f64 x) (/.f64 (.f64 y y) z))))
(.f64 (cbrt.f64 x) (-.f64 (/.f64 1 z) (/.f64 (.f64 1/18 (*.f64 y y)) z)))
(.f64 (cbrt.f64 x) (+.f64 (/.f64 1 z) (.f64 (*.f64 (/.f64 y z) y) -1/18)))
(-.f64 (.f64 (/.f64 1 z) (pow.f64 x 1/3)) (+.f64 (.f64 1/18 (.f64 (/.f64 (pow.f64 y 2) z) (pow.f64 x 1/3))) (.f64 1/3240 (*.f64 (/.f64 (pow.f64 y 4) z) (pow.f64 x 1/3)))))
(-.f64 (.f64 (cbrt.f64 x) (/.f64 1 z)) (fma.f64 1/18 (.f64 (cbrt.f64 x) (/.f64 (.f64 y y) z)) (.f64 1/3240 (*.f64 (cbrt.f64 x) (/.f64 (pow.f64 y 4) z)))))
(-.f64 (/.f64 (cbrt.f64 x) z) (.f64 (cbrt.f64 x) (+.f64 (/.f64 (.f64 1/18 (.f64 y y)) z) (.f64 1/3240 (/.f64 (pow.f64 y 4) z)))))
(.f64 (cbrt.f64 x) (-.f64 (/.f64 1 z) (fma.f64 1/3240 (/.f64 (pow.f64 y 4) z) (.f64 1/18 (*.f64 (/.f64 y z) y)))))
(-.f64 (.f64 (/.f64 1 z) (pow.f64 x 1/3)) (+.f64 (.f64 1/18 (.f64 (/.f64 (pow.f64 y 2) z) (pow.f64 x 1/3))) (+.f64 (.f64 1/3240 (.f64 (/.f64 (pow.f64 y 4) z) (pow.f64 x 1/3))) (.f64 53/1224720 (*.f64 (/.f64 (pow.f64 y 6) z) (pow.f64 x 1/3))))))
(-.f64 (.f64 (cbrt.f64 x) (/.f64 1 z)) (fma.f64 1/18 (.f64 (cbrt.f64 x) (/.f64 (.f64 y y) z)) (fma.f64 1/3240 (.f64 (cbrt.f64 x) (/.f64 (pow.f64 y 4) z)) (.f64 53/1224720 (.f64 (cbrt.f64 x) (/.f64 (pow.f64 y 6) z))))))
(-.f64 (.f64 (cbrt.f64 x) (-.f64 (/.f64 1 z) (/.f64 (.f64 1/18 (.f64 y y)) z))) (.f64 (cbrt.f64 x) (+.f64 (.f64 1/3240 (/.f64 (pow.f64 y 4) z)) (.f64 53/1224720 (/.f64 (pow.f64 y 6) z)))))
(.f64 (cbrt.f64 x) (-.f64 (+.f64 (/.f64 1 z) (.f64 (.f64 (/.f64 y z) y) -1/18)) (fma.f64 1/3240 (/.f64 (pow.f64 y 4) z) (.f64 53/1224720 (/.f64 (pow.f64 y 6) z)))))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) y) 1/3) (/.f64 1 z))
(*.f64 (/.f64 1 z) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) z)
(/.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) z)

prune117.0ms (2.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	195	7	202

Error

Counts

202 → 7

Alt Table

Status	Error	Program
	7.8b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
	10.3b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
✓	3.3b	(.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)))
	27.7b	(pow.f64 (sqrt.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 2)
✓	3.2b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
	7.7b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
✓	2.4b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 4689 to 1797 computations (61.7% saved)

regimes349.0ms (8.6%)

Accuracy

Total 1.4b remaining (98.6%)

Threshold costs 0b (0%)

Counts

75 → 2

Compiler

Compiled 852 to 289 computations (66.1% saved)

bsearch4.0ms (0.1%)

Algorithm

1×	binary-search

Calls

1 calls:

4.0ms

Steps

Iters	Point		Range
1e+57	∈ [	3.9788869948499e+55	,	1.2192495706375541e+57	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

35×	`distribute-rgt-neg-in_binary64`
31×	`cancel-sign-sub-inv_binary64`
25×	`distribute-lft-neg-out_binary64`
24×	`distribute-lft-neg-in_binary64`
23×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	39
1	36	37
2	65	30
3	101	30
4	151	30
5	192	30
6	215	30
7	238	30
8	265	30
9	282	30
10	286	30

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x 1000000000000000048346692115553659057528394845890514255872) (/.f64 (.f64 (neg.f64 x) -1) (.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 z))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))

Outputs

(if (<=.f64 x 1000000000000000048346692115553659057528394845890514255872) (/.f64 (*.f64 (neg.f64 x) -1) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 z))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))

(if (<=.f64 x 1000000000000000048346692115553659057528394845890514255872) (/.f64 (*.f64 x 1) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 z))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))

(if (<=.f64 x 1000000000000000048346692115553659057528394845890514255872) (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))

end84.0ms (2.1%)

Stop Event

1×

fuel

Compiler

Compiled 141 to 86 computations (39% saved)

Iter	Nodes	Cost
0	20	39
1	36	37
2	65	30
3	101	30
4	151	30
5	192	30
6	215	30
7	238	30
8	265	30
9	282	30
10	286	30

Iter	Nodes	Cost
0	20	39
1	36	37
2	65	30
3	101	30
4	151	30
5	192	30
6	215	30
7	238	30
8	265	30
9	282	30
10	286	30

Details

analyze550.0ms (13.5%)

sample2.1s (50.5%)

preprocess20.0ms (0.5%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

series28.0ms (0.7%)

rewrite54.0ms (1.3%)

simplify33.0ms (0.8%)

prune112.0ms (2.7%)

localize8.0ms (0.2%)

series17.0ms (0.4%)

rewrite58.0ms (1.4%)

simplify53.0ms (1.3%)

prune138.0ms (3.4%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite45.0ms (1.1%)

simplify39.0ms (1%)

prune101.0ms (2.5%)

localize27.0ms (0.7%)

series29.0ms (0.7%)

rewrite62.0ms (1.5%)

simplify50.0ms (1.2%)

prune117.0ms (2.9%)

regimes349.0ms (8.6%)

bsearch4.0ms (0.1%)

simplify5.0ms (0.1%)

end84.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	20	39
1	36	37
2	65	30
3	101	30
4	151	30
5	192	30
6	215	30
7	238	30
8	265	30
9	282	30
10	286	30