Details

analyze142.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
26.7%	25%	68.7%	0.1%	6.2%	0%	0%	6
48.3%	43.7%	46.8%	0.1%	9.4%	0%	0%	7
50.9%	43.7%	42.1%	0.1%	14%	0%	0%	8
56.1%	46.8%	36.7%	0.1%	16.4%	0%	0%	9
58%	46.8%	34%	0.1%	19.1%	0%	0%	10
60.9%	48.4%	31%	0.1%	20.5%	0%	0%	11
62.1%	48.4%	29.6%	0.1%	22%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.0s (42.6%)

Results

1.1s	2024×	body	1024	infinite
1.0s	2049×	body	1024	valid
998.0ms	5152×	body	256	valid
313.0ms	1046×	body	512	valid
253.0ms	1029×	body	512	infinite
224.0ms	1447×	body	256	infinite
12.0ms	9×	body	2048	valid

Bogosity

preprocess71.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

824×	`fma-def_binary64`
728×	`unswap-sqr_binary64`
406×	`associate-/r/_binary64`
395×	`associate-*l/_binary64`
352×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	59	22
3	121	22
4	228	22
5	379	22
6	750	22
7	2263	22
8	4698	22
9	6102	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Rules

883×	`fma-def_binary64`
772×	`unswap-sqr_binary64`
453×	`associate-/l*_binary64`
363×	`times-frac_binary64`
271×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	33	11
3	65	11
4	118	11
5	194	11
6	386	11
7	1120	11
8	3218	11
9	3571	11
10	4095	11
11	5687	11
12	6458	11
13	7456	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶	0.3b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series12.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
777×	`add-log-exp_binary64`
776×	`log1p-expm1-u_binary64`
776×	`expm1-log1p-u_binary64`
759×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	2033	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

Outputs

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

581×	`associate-+l+_binary64`
492×	`times-frac_binary64`
485×	`associate-+r+_binary64`
384×	`associate-/l*_binary64`
341×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	674
1	170	670
2	517	608
3	1888	577
4	6798	568

Stop Event

1×	node limit

Counts

89 → 85

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (sin.f64 y) (/.f64 (.f64 x x) y)) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y)) (/.f64 (.f64 (*.f64 1/24 (sin.f64 y)) (pow.f64 x 4)) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 (/.f64 (sin.f64 y) y) (*.f64 1/720 (pow.f64 x 6)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (pow.f64 y 4) (fma.f64 (exp.f64 x) 1/240 (/.f64 1/240 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 y (.f64 y -1/12)) (.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (.f64 y -1/12)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (pow.f64 y 4) 1/240) (.f64 (pow.f64 y 6) -1/10080))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 (pow.f64 y 6) -1/10080)) (+.f64 (.f64 y (.f64 y -1/12)) (*.f64 (pow.f64 y 4) 1/240))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))

localize32.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.3b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`pow1_binary64`
770×	`add-log-exp_binary64`
769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
752×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	2023	17

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

Outputs

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

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

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

600×	`times-frac_binary64`
585×	`associate-+l+_binary64`
485×	`associate-/l*_binary64`
478×	`associate-+r+_binary64`
373×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	1024
1	186	1020
2	541	938
3	1886	907
4	7156	901

Stop Event

1×	node limit

Counts

101 → 79

Calls

Call 1

Inputs
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/720 (/.f64 (pow.f64 x 6) y)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))

Outputs
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (*.f64 y y))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 1/240 (pow.f64 y 4)) (.f64 -1/12 (.f64 y y)))))
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(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)

eval96.0ms (1%)

Compiler: Compiled 2239 to 1003 computations (55.2% saved)

prune38.0ms (0.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	152	12	164
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	154	12	166

Error

0.0b

Counts

166 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(/.f64 (sin.f64 y) y)
	34.0b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
▶	29.8b	(-.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1)
	0.9b	(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y))))
▶	31.8b	(*.f64 (cosh.f64 x) 1)
▶	38.4b	(*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))
▶	1.0b	(*.f64 (sin.f64 y) (/.f64 1 y))
	0.5b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	31.3b	(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2))
	1.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	1.5b	(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))))

Compiler

Compiled 298 to 206 computations (30.9% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
867×	`add-log-exp_binary64`
866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
847×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2267	17

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-+l+_binary64`
492×	`times-frac_binary64`
474×	`associate-+r+_binary64`
385×	`associate-/l*_binary64`
339×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	674
1	174	670
2	525	608
3	1916	577
4	6783	568

Stop Event

1×	node limit

Counts

100 → 96

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))

Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (sin.f64 y) (/.f64 (.f64 x x) y)) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (.f64 1/24 (.f64 (sin.f64 y) (pow.f64 x 4))) y)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x x) y) (sin.f64 y)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 x x) (+.f64 1/2 (.f64 (*.f64 x x) 1/24)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/720 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)) (/.f64 (.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (.f64 x x)) 1/2)))))
(+.f64 (fma.f64 1/2 (.f64 (sin.f64 y) (/.f64 (.f64 x x) y)) (/.f64 (sin.f64 y) y)) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/720 (pow.f64 x 6))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (*.f64 y y))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 y y)) (.f64 1/240 (pow.f64 y 4)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 -1/10080 (pow.f64 y 6)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (.f64 y y)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (.f64 -1/10080 (pow.f64 y 6)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 -1/10080 (pow.f64 y 6))) (+.f64 (.f64 -1/12 (.f64 y y)) (*.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/12 (.f64 y y)) (+.f64 (.f64 1/240 (pow.f64 y 4)) (+.f64 1/2 (*.f64 -1/10080 (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(fma.f64 (*.f64 y y) 1/6 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360)))
(+.f64 (fma.f64 (.f64 y y) 1/6 1) (.f64 (pow.f64 y 4) 7/360))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (.f64 y y) 1/6 (.f64 (pow.f64 y 4) 7/360))))
(fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)))

localize7.0ms (0.1%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite104.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`pow1_binary64`
522×	`add-sqr-sqrt_binary64`
503×	`add-log-exp_binary64`
503×	`log1p-expm1-u_binary64`
503×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	120	6
2	1434	6

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify135.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1583×	`fma-def_binary64`
599×	`sqr-pow_binary64`
435×	`associate-/r*_binary64`
392×	`*-commutative_binary64`
326×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	45	98
2	101	94
3	299	94
4	1153	94
5	2930	94
6	3553	94
7	3967	94
8	4384	94
9	5146	94
10	5480	94
11	6807	94
12	7274	94
13	7830	94

Stop Event

1×	node limit

Counts

33 → 28

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
	0.1b	(/.f64 y (sin.f64 y))
	0.1b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
✓	2.6b	(-.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1)

Compiler

Compiled 40 to 13 computations (67.5% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`prod-diff_binary64`
555×	`log-prod_binary64`
497×	`fma-def_binary64`
227×	`fma-neg_binary64`
201×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	231	23
2	3516	23

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

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

Outputs

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

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

825×	`distribute-rgt-in_binary64`
492×	`times-frac_binary64`
383×	`associate-/l*_binary64`
341×	`unswap-sqr_binary64`
312×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	67	1270
1	181	1236
2	572	1135
3	2112	1075
4	5060	1057
5	6925	1047

Stop Event

1×	node limit

Counts

238 → 225

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y))))))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 1 (+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 1 (+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(+.f64 1 (+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))))
1
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
1
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))

Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (.f64 (sin.f64 y) (.f64 x x)) y) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x x) y) (sin.f64 y)) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 x 4) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 1/24 (pow.f64 x 4)) 1)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (.f64 (sin.f64 y) (.f64 x x)) y) (fma.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y) (.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/24 (.f64 (/.f64 (pow.f64 x 4) y) (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (.f64 x x)) 1/2))) (fma.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))) (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))) (fma.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
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(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(fma.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)) 1)
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) 1)
(+.f64 1 (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 1 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(+.f64 1 (+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 1 (fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 1 (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12))))
(+.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12)))))
(+.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (*.f64 y y)))))
(+.f64 1 (+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(+.f64 1 (fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 1 (fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))) (fma.f64 (*.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) 1))
(+.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 y y)) (.f64 1/240 (pow.f64 y 4))))))
(+.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (+.f64 1/2 (.f64 -1/12 (.f64 y y))))))
(+.f64 1 (+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))))
(+.f64 1 (fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(+.f64 1 (fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) 1/2)) (+.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (.f64 y (.f64 y -1/12))))))
(+.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) (*.f64 1/240 (pow.f64 y 4))))))
(+.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 (.f64 1/240 (pow.f64 y 4)) (+.f64 1/2 (.f64 -1/12 (.f64 y y)))) (*.f64 -1/10080 (pow.f64 y 6)))))
1
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(fma.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)) 1)
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) 1)
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(fma.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)) 1)
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) 1)
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(fma.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)) 1)
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) 1)
1
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(fma.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)) 1)
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) 1)
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(fma.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)) 1)
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) 1)
(+.f64 1 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)))
(+.f64 1 (*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(fma.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)) 1)
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) 1)

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))
✓	0.3b	(pow.f64 (sin.f64 y) 3)
✓	18.6b	(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))
✓	19.1b	(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))

Compiler

Compiled 45 to 27 computations (40% saved)

series13.0ms (0.1%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
3.0ms	y	@	-inf	(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))
1.0ms	y	@	-inf	(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
1.0ms	y	@	0	(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
1.0ms	y	@	-inf	(*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))

rewrite147.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary64`
422×	`exp-prod_binary64`
352×	`pow-prod-down_binary64`
281×	`pow2_binary64`
227×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	241	32
2	2869	32

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 2) (.f64 (sin.f64 y) (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) (pow.f64 (/.f64 (sin.f64 y) y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (sin.f64 y) 3)) (/.f64 1 (neg.f64 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y -3) (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 3/2) (.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (sin.f64 y) 2) y) (/.f64 (sin.f64 y) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (.f64 y y)) (/.f64 (pow.f64 (sin.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (sin.f64 y) 3/2) y) (/.f64 (pow.f64 (sin.f64 y) 3/2) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (sin.f64 y) 3/2) (.f64 y y)) (/.f64 (pow.f64 (sin.f64 y) 3/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) 1) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (sin.f64 y) 2) 1) (/.f64 (sin.f64 y) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (sin.f64 y) 3/2) 1) (/.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y -2) (/.f64 (pow.f64 (sin.f64 y) 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (pow.f64 y 3/2)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 3/2)) (/.f64 (sin.f64 y) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y -3/2) (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) y) (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 (/.f64 (sin.f64 y) y) 5/2) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) 9) (pow.f64 y 9)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y)))) 2)) (cbrt.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))))) (sqrt.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (neg.f64 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 9))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 9) (pow.f64 y 9)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 y) y) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 y) y) -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 3))))))
((#(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> 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(/.f64 (sin.f64 y) y) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sin.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 5/2) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 y) 2) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (sin.f64 y) (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 y) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (sin.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 3/2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (.f64 2 (cosh.f64 x))) (.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (cosh.f64 x)) (sin.f64 y)) (.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))) (sqrt.f64 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 1) 1))))))

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

636×	`associate-+l+_binary64`
592×	`times-frac_binary64`
522×	`associate-+r+_binary64`
498×	`associate-/l*_binary64`
410×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	886
1	268	876
2	788	814
3	2895	783

Stop Event

1×	node limit

Counts

217 → 213

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (.f64 -1/2 (.f64 y y))))
(fma.f64 13/120 (pow.f64 y 4) (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 13/120 (pow.f64 y 4) 1))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 -41/3024 (pow.f64 y 6)))))
(+.f64 (fma.f64 13/120 (pow.f64 y 4) (fma.f64 -1/2 (.f64 y y) 1)) (.f64 -41/3024 (pow.f64 y 6)))
(fma.f64 13/120 (pow.f64 y 4) (fma.f64 -1/2 (*.f64 y y) (fma.f64 -41/3024 (pow.f64 y 6) 1)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) 1/120)))
(+.f64 1 (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 1/120)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) 1/120))))
(+.f64 (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 1/120)) (fma.f64 (pow.f64 y 6) -1/5040 1))
(fma.f64 (pow.f64 y 6) -1/5040 (fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 1)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(neg.f64 (*.f64 (/.f64 (cbrt.f64 -1) y) (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (neg.f64 (cbrt.f64 -1)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(neg.f64 (*.f64 (/.f64 (cbrt.f64 -1) y) (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (neg.f64 (cbrt.f64 -1)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(neg.f64 (*.f64 (/.f64 (cbrt.f64 -1) y) (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (neg.f64 (cbrt.f64 -1)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(neg.f64 (*.f64 (/.f64 (cbrt.f64 -1) y) (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (neg.f64 (cbrt.f64 -1)) y))
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(fma.f64 -1/2 (pow.f64 y 5) (pow.f64 y 3))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (*.f64 13/120 (pow.f64 y 7))))
(fma.f64 -1/2 (pow.f64 y 5) (fma.f64 13/120 (pow.f64 y 7) (pow.f64 y 3)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 13/120 (pow.f64 y 7)))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (fma.f64 13/120 (pow.f64 y 7) (*.f64 -41/3024 (pow.f64 y 9)))))
(+.f64 (pow.f64 y 3) (fma.f64 13/120 (pow.f64 y 7) (fma.f64 -1/2 (pow.f64 y 5) (*.f64 -41/3024 (pow.f64 y 9)))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) (/.f64 y x)) x) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (/.f64 (.f64 1/24 (sin.f64 y)) (/.f64 y (pow.f64 x 4)))))
(fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (fma.f64 1/2 (.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (*.f64 (sin.f64 y) 1/720) (/.f64 y (pow.f64 x 6))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (.f64 x x) y) (sin.f64 y)) (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 x 6) y) (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (pow.f64 x 4)) 1/24)))))
(+.f64 (fma.f64 1/24 (.f64 (/.f64 (pow.f64 x 4) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/720 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (.f64 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (.f64 1/240 (pow.f64 y 4)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 (.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 4) 1/240))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 y (.f64 y -1/12)) (.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 6) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (.f64 y -1/12)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (pow.f64 y 4) 1/240) (.f64 (pow.f64 y 6) -1/10080))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 y (.f64 y -1/12))) (.f64 (pow.f64 y 4) (+.f64 (.f64 (.f64 y y) -1/10080) 1/240))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(/.f64 (.f64 -1/2 (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (.f64 (.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(/.f64 (*.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(.f64 (/.f64 -1/2 y) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(/.f64 (.f64 -1/2 (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (.f64 (.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(/.f64 (*.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(.f64 (/.f64 -1/2 y) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(/.f64 (.f64 -1/2 (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (.f64 (.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(/.f64 (*.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(.f64 (/.f64 -1/2 y) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(/.f64 (.f64 -1/2 (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (.f64 (.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(/.f64 (*.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(.f64 (/.f64 -1/2 y) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

eval372.0ms (4%)

Compiler: Compiled 10362 to 4642 computations (55.2% saved)

prune330.0ms (3.6%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	644	14	658
Fresh	7	0	7
Picked	1	0	1
Done	1	3	4
Total	653	17	670

Error

0.0b

Counts

670 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.4b	(-.f64 1 1)
▶	2.0b	(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	34.3b	(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
✓	1.0b	(*.f64 (sin.f64 y) (/.f64 1 y))
	0.9b	(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y))))
	19.2b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	2.2b	(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
▶	30.3b	(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)
	0.9b	(/.f64 1 (/.f64 y (sin.f64 y)))
	32.3b	1
▶	1.6b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
	0.5b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
✓	31.8b	(*.f64 (cosh.f64 x) 1)
	31.5b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
	0.8b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 298 to 206 computations (30.9% saved)

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series8.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

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

rewrite130.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
390×	`exp-prod_binary64`
332×	`prod-exp_binary64`
269×	`pow-prod-down_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	189	23
2	2546	23

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs

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

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

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

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

604×	`associate-+l+_binary64`
507×	`unswap-sqr_binary64`
500×	`associate-+r+_binary64`
492×	`times-frac_binary64`
391×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	777
1	207	771
2	616	705
3	2301	674
4	7489	674

Stop Event

1×	node limit

Counts

193 → 184

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))

Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4))))
(fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4)))))
(fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1)))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(fma.f64 1/6 y (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3))))
(fma.f64 1/6 y (fma.f64 7/360 (pow.f64 y 3) (/.f64 1 y)))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3)))))
(+.f64 (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3))) (fma.f64 31/15120 (pow.f64 y 5) (/.f64 1 y)))
(fma.f64 31/15120 (pow.f64 y 5) (fma.f64 1/6 y (fma.f64 7/360 (pow.f64 y 3) (/.f64 1 y))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 x (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 (/.f64 (sin.f64 y) y) (*.f64 1/720 (pow.f64 x 6)))))
(+.f64 (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 x (.f64 1/2 x)) (.f64 1/720 (pow.f64 x 6)))) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (.f64 y y) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 (*.f64 y y) -1/12)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 4) 1/240))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 (.f64 y y) -1/12) (.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080) (pow.f64 y 6) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 (pow.f64 y 6) -1/10080))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 y (.f64 y -1/12)) (.f64 (pow.f64 y 4) 1/240))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 (.f64 y y) -1/12)) (+.f64 (.f64 (pow.f64 y 6) -1/10080) (*.f64 (pow.f64 y 4) 1/240))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))

localize6.0ms (0.1%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (sin.f64 y) y) 1)
	0.1b	(/.f64 (sin.f64 y) y)
✓	2.6b	(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)

Compiler

Compiled 24 to 11 computations (54.2% saved)

series5.0ms (0.1%)

Counts

2 → 18

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(+.f64 (/.f64 (sin.f64 y) y) 1)
0.0ms	y	@	0	(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)
0.0ms	y	@	inf	(+.f64 (/.f64 (sin.f64 y) y) 1)
0.0ms	y	@	inf	(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)
0.0ms	y	@	-inf	(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)

rewrite115.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`pow1_binary64`
775×	`add-log-exp_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
761×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	161	15
2	2321	15

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)
(+.f64 (/.f64 (sin.f64 y) y) 1)

Outputs

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

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

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2082×	`fma-def_binary64`
477×	`sqr-pow_binary64`
435×	`associate-/r*_binary64`
396×	`*-commutative_binary64`
326×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	154
1	55	150
2	134	142
3	388	142
4	1360	142
5	3408	142
6	4031	142
7	4445	142
8	4867	142
9	5615	142
10	5949	142
11	7463	142
12	7929	142

Stop Event

1×	node limit

Counts

122 → 118

Calls

Call 1

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

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

localize61.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))
✓	0.4b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)

Compiler

Compiled 22 to 8 computations (63.6% saved)

series6.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
1.0ms	y	@	0	(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	(cbrt.f64 (/.f64 (sin.f64 y) y))

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	153	14
2	1660	14

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(cbrt.f64 (/.f64 (sin.f64 y) y))

Outputs

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

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

742×	`*-commutative_binary64`
652×	`distribute-lft-out_binary64`
499×	`sqr-pow_binary64`
450×	`associate-+l+_binary64`
432×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	104
1	72	100
2	173	94
3	510	92
4	1994	92
5	3604	92
6	4449	92
7	4907	92
8	5686	92
9	6571	92
10	7100	92
11	7741	92

Stop Event

1×	node limit

Counts

80 → 85

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
✓	0.3b	(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))
✓	0.5b	(pow.f64 (cbrt.f64 y) 2)
✓	0.6b	(cbrt.f64 y)

Compiler

Compiled 29 to 14 computations (51.7% saved)

series8.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(cbrt.f64 y)
1.0ms	y	@	-inf	(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
1.0ms	y	@	-inf	(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))
1.0ms	y	@	0	(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 y) 2)

rewrite164.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`pow1_binary64`
831×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
811×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	174	26
2	2300	26

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

Inputs
(cbrt.f64 y)
(pow.f64 (cbrt.f64 y) 2)
(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))

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

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1583×	`fma-def_binary64`
599×	`sqr-pow_binary64`
435×	`associate-/r*_binary64`
392×	`*-commutative_binary64`
326×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	45	98
2	101	94
3	299	94
4	1153	94
5	2930	94
6	3553	94
7	3967	94
8	4384	94
9	5146	94
10	5480	94
11	6807	94
12	7274	94
13	7830	94

Stop Event

1×	node limit

Counts

117 → 113

Calls

Call 1

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

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

eval194.0ms (2.1%)

Compiler: Compiled 7671 to 3615 computations (52.9% saved)

prune220.0ms (2.4%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	590	6	596
Fresh	5	4	9
Picked	0	1	1
Done	0	7	7
Total	595	18	613

Error

Counts

613 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.2b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
▶	2.0b	(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) (cbrt.f64 y))
✓	61.4b	(-.f64 1 1)
✓	2.0b	(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	34.3b	(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
	31.5b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
✓	30.3b	(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)
	0.9b	(/.f64 1 (/.f64 y (sin.f64 y)))
✓	1.6b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
▶	0.5b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
▶	0.8b	(/.f64 (sin.f64 y) y)
▶	27.6b	(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
✓	31.8b	(*.f64 (cosh.f64 x) 1)
	32.3b	1
✓	1.0b	(*.f64 (sin.f64 y) (/.f64 1 y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
✓	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
	20.2b	(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 0) (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 0 (*.f64 (/.f64 (sin.f64 y) y) 0))))

Compiler

Compiled 297 to 206 computations (30.6% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
✓	0.0b	(.f64 1/2 (.f64 x x))
	0.1b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 39 to 18 computations (53.8% saved)

series7.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
1.0ms	y	@	-inf	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
1.0ms	x	@	inf	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
1.0ms	y	@	0	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
1.0ms	x	@	0	(.f64 1/2 (.f64 x x))

rewrite127.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
372×	`pow-prod-down_binary64`
349×	`prod-diff_binary64`
291×	`pow2_binary64`
228×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	233	23
2	3031	23

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x x))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/2 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 x 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 (*.f64 x x) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/8 (pow.f64 x 6) 1) (/.f64 1 (-.f64 (fma.f64 1/4 (pow.f64 x 4) 1) (*.f64 1/2 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 1/2 (*.f64 x x) -1)) -1)))))

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(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/2 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 x 6) 1) (*.f64 (/.f64 y (sin.f64 y)) (-.f64 (fma.f64 1/4 (pow.f64 x 4) 1) (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (*.f64 (/.f64 y (sin.f64 y)) (fma.f64 1/2 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> 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((x /.f64 (*.f64 (sin.f64 y) (fma.f64 1/8 (pow.f64 x 6) 1)) (*.f64 y (-.f64 (fma.f64 1/4 (pow.f64 x 4) 1) (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (fma.f64 1/8 (pow.f64 x 6) 1)) (*.f64 (neg.f64 y) (-.f64 (fma.f64 1/4 (pow.f64 x 4) 1) (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (fma.f64 1/4 (pow.f64 x 4) -1)) (*.f64 y (fma.f64 1/2 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (fma.f64 1/4 (pow.f64 x 4) -1)) (*.f64 (neg.f64 y) (fma.f64 1/2 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 6) 1) (/.f64 (sin.f64 y) y)) (-.f64 (fma.f64 1/4 (pow.f64 x 4) 1) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (/.f64 (sin.f64 y) y)) (fma.f64 1/2 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (fma.f64 1/2 (*.f64 x x) 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/8 (pow.f64 x 6) 1)) (-.f64 (fma.f64 1/4 (pow.f64 x 4) 1) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/4 (pow.f64 x 4) -1)) (fma.f64 1/2 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (sin.f64 y) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) (/.f64 1 y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) (/.f64 1 y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 y) y) 1 (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (sin.f64 y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (sin.f64 y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (sin.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (sin.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))))

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-def_binary64`
839×	`times-frac_binary64`
612×	`associate-+l+_binary64`
556×	`associate-+r+_binary64`
553×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	665
1	98	615
2	312	589
3	1267	571
4	4918	479

Stop Event

1×	node limit

Counts

150 → 130

Calls

Call 1

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

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(/.f64 (.f64 (.f64 1/2 (*.f64 x x)) (sin.f64 y)) y)
(.f64 1/2 (.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (.f64 x (*.f64 x (/.f64 (sin.f64 y) y))))
(.f64 x (.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(/.f64 (.f64 (.f64 1/2 (*.f64 x x)) (sin.f64 y)) y)
(.f64 1/2 (.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (.f64 x (*.f64 x (/.f64 (sin.f64 y) y))))
(.f64 x (.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 x x)) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/6 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 y y)) (+.f64 (.f64 1/2 (.f64 x x)) 1))
(fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (+.f64 (.f64 y (.f64 y -1/6)) 1) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 y (*.f64 y -1/6) 1))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(fma.f64 -1/6 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 y y)) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (pow.f64 y 4))))))
(+.f64 (fma.f64 1/120 (.f64 (fma.f64 1/2 (.f64 x x) 1) (pow.f64 y 4)) (.f64 1/2 (.f64 x x))) (fma.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) -1/6) (*.f64 y y) 1))
(fma.f64 (.f64 y y) (+.f64 -1/6 (.f64 (.f64 x x) -1/12)) (.f64 (+.f64 (.f64 1/120 (pow.f64 y 4)) 1) (fma.f64 1/2 (.f64 x x) 1)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 y (.f64 y -1/6)) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(fma.f64 -1/6 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 y y)) (+.f64 1 (fma.f64 -1/5040 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (pow.f64 y 6)) (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (pow.f64 y 4)))))))
(+.f64 (fma.f64 -1/5040 (.f64 (fma.f64 1/2 (.f64 x x) 1) (pow.f64 y 6)) (fma.f64 1/120 (.f64 (fma.f64 1/2 (.f64 x x) 1) (pow.f64 y 4)) (.f64 1/2 (.f64 x x)))) (fma.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) -1/6) (*.f64 y y) 1))
(+.f64 (.f64 (+.f64 (.f64 y (.f64 y -1/6)) 1) (fma.f64 1/2 (.f64 x x) 1)) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/5040 (pow.f64 y 6)))))
(fma.f64 y (.f64 y (fma.f64 (.f64 x x) -1/12 -1/6)) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (*.f64 -1/5040 (pow.f64 y 6)))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (fma.f64 y (.f64 y -1/6) 1) (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/5040 (pow.f64 y 6)))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
✓	18.6b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

Compiler

Compiled 23 to 10 computations (56.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(pow.f64 (/.f64 (sin.f64 y) y) 3)
1.0ms	y	@	inf	(pow.f64 (/.f64 (sin.f64 y) y) 3)
0.0ms	y	@	0	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
0.0ms	y	@	0	(pow.f64 (/.f64 (sin.f64 y) y) 3)
0.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

rewrite151.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
625×	`add-log-exp_binary64`
625×	`log1p-expm1-u_binary64`
625×	`expm1-log1p-u_binary64`
608×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	155	15
2	1734	15

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)

Outputs

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

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-/l/_binary64`
580×	`unswap-sqr_binary64`
572×	`fma-def_binary64`
528×	`associate-l_binary64`
455×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	276
1	97	270
2	260	264
3	867	240
4	4339	240

Stop Event

1×	node limit

Counts

102 → 94

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/120) -1/6) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 (cbrt.f64 -1)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(fma.f64 y (*.f64 y -1/2) 1)
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (.f64 (.f64 y y) -1/2)))
(fma.f64 (pow.f64 y 4) 13/120 (fma.f64 (*.f64 y y) -1/2 1))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 13/120 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 13/120) -1/2) 1)
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 6) -41/3024))))
(+.f64 (fma.f64 (pow.f64 y 6) -41/3024 (.f64 y (.f64 y -1/2))) (fma.f64 (pow.f64 y 4) 13/120 1))
(fma.f64 (pow.f64 y 4) 13/120 (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 6) -41/3024 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 13/120) -1/2) (fma.f64 (pow.f64 y 6) -41/3024 1))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
✓	0.3b	(/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y)))
	0.6b	(cbrt.f64 y)
✓	26.7b	(cbrt.f64 (*.f64 y y))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series4.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`pow1_binary64`
820×	`add-log-exp_binary64`
820×	`log1p-expm1-u_binary64`
820×	`expm1-log1p-u_binary64`
797×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	168	23
2	2280	23

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (sin.f64 y) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 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 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (/.f64 1 (cbrt.f64 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 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (/.f64 1 (neg.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 1) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) 1) (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (pow.f64 y 1/6)) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 y 1/6)) (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) 2) (pow.f64 y 1/6)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (pow.f64 y 1/6)))))) (#(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 1 (/.f64 (sin.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.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 cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) 3) y))))) (#(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)))))))

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

717×	`fma-def_binary64`
588×	`div-sub_binary64`
547×	`associate-/r/_binary64`
363×	`associate-/l/_binary64`
355×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	128
1	56	126
2	134	122
3	373	122
4	1354	122
5	3561	122
6	5474	122
7	6489	122
8	7228	122

Stop Event

1×	node limit

Counts

103 → 101

Calls

Call 1

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

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

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))
✓	0.3b	(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))
	0.5b	(pow.f64 (cbrt.f64 y) 2)
	0.6b	(cbrt.f64 y)

Compiler

Compiled 53 to 30 computations (43.4% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))
1.0ms	y	@	0	(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))
0.0ms	y	@	0	(/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))
0.0ms	y	@	-inf	(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))
0.0ms	y	@	inf	(/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	226	20
2	2786	20

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))

Outputs

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

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

46 → 46

Calls

Call 1

Inputs

Outputs

eval153.0ms (1.6%)

Compiler: Compiled 8069 to 3774 computations (53.2% saved)

prune92.0ms (1%)

Pruning

19 alts after pruning (7 fresh and 12 done)

	Pruned	Kept	Total
New	555	6	561
Fresh	4	1	5
Picked	1	0	1
Done	0	12	12
Total	560	19	579

Error

Counts

579 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.8b	(*.f64 (cosh.f64 x) 1)
	27.7b	(/.f64 (.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (cbrt.f64 (.f64 y y))))) (cbrt.f64 y))
✓	61.4b	(-.f64 1 1)
✓	2.0b	(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	32.3b	1
✓	30.3b	(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)
	34.3b	(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
	0.9b	(/.f64 1 (/.f64 y (sin.f64 y)))
	31.5b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	32.2b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
✓	1.6b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
✓	0.5b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
✓	0.8b	(/.f64 (sin.f64 y) y)
✓	27.6b	(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
✓	19.2b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
✓	1.0b	(*.f64 (sin.f64 y) (/.f64 1 y))
✓	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
	20.2b	(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 0) (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 0 (*.f64 (/.f64 (sin.f64 y) y) 0))))

Compiler

Compiled 196 to 140 computations (28.6% saved)

regimes94.0ms (1%)

Counts

40 → 1

Calls

Call 1

Inputs
1
1
1
(-.f64 1 1)
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
(-.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (cbrt.f64 (.f64 y y))))) (cbrt.f64 y))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) (cbrt.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 0) (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 0 (*.f64 (/.f64 (sin.f64 y) y) 0))))
(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))))

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

Calls

5 calls:

25.0ms	x
22.0ms	y
17.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
15.0ms	(/.f64 (sin.f64 y) y)
3.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
0.1b	1	`(cosh.f64 x)`
0.1b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 388 to 161 computations (58.5% saved)

regimes48.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

Inputs
1
1
1
(-.f64 1 1)
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

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

Calls

5 calls:

17.0ms	x
8.0ms	y
8.0ms	(/.f64 (sin.f64 y) y)
7.0ms	(/.f64 (sin.f64 y) y)
3.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(cosh.f64 x)`
0.2b	1	`(/.f64 (sin.f64 y) y)`
0.2b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 115 to 60 computations (47.8% saved)

regimes56.0ms (0.6%)

Counts

14 → 1

Calls

Call 1

Inputs
1
1
1
(-.f64 1 1)
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))

Outputs
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))

Calls

5 calls:

18.0ms	y
14.0ms	(/.f64 (sin.f64 y) y)
8.0ms	x
5.0ms	(cosh.f64 x)
5.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`
0.5b	1	`(cosh.f64 x)`
0.5b	1	`(cosh.f64 x)`
0.5b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 99 to 56 computations (43.4% saved)

regimes28.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
1
1
1
(-.f64 1 1)
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 1) 1)

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

Calls

4 calls:

9.0ms	x
8.0ms	y
7.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`y`
0.8b	1	`(cosh.f64 x)`
0.8b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 71 to 43 computations (39.4% saved)

regimes12.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
1
1
1
(-.f64 1 1)
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)

Outputs
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)

Calls

2 calls:

6.0ms	y
5.0ms	x

Results

Error	Segments	Branch
32.2b	1	`x`
32.2b	1	`y`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes11.0ms (0.1%)

Accuracy

Total -29.7b remaining (-92%)

Threshold costs -29.7b (-92%)

Counts

4 → 1

Calls

Call 1

Inputs
1
1
1
(-.f64 1 1)

Outputs
1

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Error	Segments	Branch
32.3b	1	`x`
32.3b	1	`y`

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	23	57

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
1

Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (*.f64 x x)) 1))
(/.f64 (sin.f64 y) y)
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
(+.f64 (.f64 1/2 (.f64 x x)) 1)
1

Compiler

Compiled 50 to 36 computations (28% saved)

soundness0.0ms (0%)

end42.0ms (0.5%)

Compiler: Compiled 40 to 19 computations (52.5% saved)