Details

analyze148.0ms (1.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.2s (48%)

Results

1.1s	2036×	body	1024	invalid
1.1s	2082×	body	1024	valid
1.1s	5162×	body	256	valid
385.0ms	1009×	body	512	valid
263.0ms	1442×	body	256	invalid
252.0ms	1003×	body	512	invalid
2.0ms	3×	body	2048	valid

preprocess59.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

824×	`fma-def_binary64`
728×	`unswap-sqr_binary64`
408×	`associate-/r/_binary64`
389×	`associate-*l/_binary64`
374×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	59	22
3	121	22
4	226	22
5	375	22
6	745	22
7	2242	22
8	4624	22
9	6014	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 (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)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

883×	`fma-def_binary64`
772×	`unswap-sqr_binary64`
444×	`associate-/l*_binary64`
363×	`times-frac_binary64`
277×	`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	120	11
5	196	11
6	385	11
7	1108	11
8	3189	11
9	3542	11
10	4066	11
11	5658	11
12	6428	11
13	7412	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))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

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
▶	0.2b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
▶	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series13.0ms (0.2%)

Counts

3 → 32

Calls

12 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))
1.0ms	x	@	-inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms	y	@	-inf	(sin.f64 y)
1.0ms	x	@	0	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

rewrite58.0ms (0.7%)

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	20
1	149	20
2	2033	20

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

599×	`associate-+l+_binary64`
508×	`unswap-sqr_binary64`
505×	`associate-+r+_binary64`
492×	`times-frac_binary64`
403×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	722
1	216	716
2	622	654
3	2313	623
4	7165	623

Stop Event

1×	node limit

Counts

109 → 108

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

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

localize17.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
	0.0b	(/.f64 y (cosh.f64 x))
	0.0b	(sin.f64 y)
	0.0b	(sin.f64 y)
✓	0.0b	(/.f64 y (cosh.f64 x))
✓	0.2b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
866×	`add-log-exp_binary64`
865×	`log1p-expm1-u_binary64`
865×	`expm1-log1p-u_binary64`
846×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2266	17

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

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

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

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

575×	`cancel-sign-sub-inv_binary64`
492×	`times-frac_binary64`
431×	`fma-def_binary64`
412×	`distribute-rgt-in_binary64`
397×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	1027
1	228	1018
2	718	952
3	3104	915

Stop Event

1×	node limit

Counts

121 → 99

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 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
y
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) y)
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) y))
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) (+.f64 y (.f64 -1 (.f64 (+.f64 (.f64 -1/48 y) (+.f64 (.f64 -1/2 (+.f64 (.f64 1/24 y) (.f64 -1/4 y))) (*.f64 1/720 y))) (pow.f64 x 6))))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))

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 y (*.f64 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 (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 -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 (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 (.f64 -1/10080 (pow.f64 y 6)) 1/2)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 y (.f64 y -1/12)) (.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 (.f64 -1/10080 (pow.f64 y 6)) 1/2) (+.f64 (.f64 -1/12 (.f64 y y)) (*.f64 1/240 (pow.f64 y 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 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) 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))
(+.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 (.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 (.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 (.f64 x x) y) (sin.f64 y)) (.f64 (/.f64 (sin.f64 y) y) (.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) (fma.f64 1/24 (.f64 (/.f64 (pow.f64 x 4) y) (sin.f64 y)) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 1/2 (*.f64 x 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
y
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) y)
(fma.f64 -1/2 (.f64 y (.f64 x x)) y)
(fma.f64 -1/2 (.f64 x (.f64 x y)) y)
(fma.f64 y (.f64 x (.f64 x -1/2)) y)
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) y))
(fma.f64 -1/2 (.f64 y (.f64 x x)) (fma.f64 -1 (.f64 (pow.f64 x 4) (.f64 y -5/24)) y))
(fma.f64 -1/2 (.f64 x (.f64 x y)) (-.f64 y (.f64 y (.f64 -5/24 (pow.f64 x 4)))))
(fma.f64 y (.f64 x (.f64 x -1/2)) (fma.f64 (pow.f64 x 4) (*.f64 y 5/24) y))
(+.f64 y (.f64 y (fma.f64 x (.f64 x -1/2) (*.f64 (pow.f64 x 4) 5/24))))
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) (+.f64 y (.f64 -1 (.f64 (+.f64 (.f64 -1/48 y) (+.f64 (.f64 -1/2 (+.f64 (.f64 1/24 y) (.f64 -1/4 y))) (*.f64 1/720 y))) (pow.f64 x 6))))))
(fma.f64 -1/2 (.f64 y (.f64 x x)) (+.f64 (fma.f64 -1 (.f64 (pow.f64 x 4) (.f64 y -5/24)) y) (neg.f64 (.f64 (pow.f64 x 6) (fma.f64 -1/48 y (fma.f64 -1/2 (.f64 y -5/24) (*.f64 y 1/720)))))))
(fma.f64 -1/2 (.f64 x (.f64 x y)) (-.f64 (-.f64 y (.f64 y (.f64 -5/24 (pow.f64 x 4)))) (.f64 (pow.f64 x 6) (fma.f64 y -1/48 (fma.f64 y 1/720 (.f64 y 5/48))))))
(-.f64 (fma.f64 y (.f64 x (.f64 x -1/2)) (fma.f64 (pow.f64 x 4) (.f64 y 5/24) y)) (.f64 (pow.f64 x 6) (fma.f64 y 5/48 (*.f64 y -7/360))))
(+.f64 (-.f64 y (.f64 (pow.f64 x 6) (.f64 y 61/720))) (.f64 y (fma.f64 x (.f64 x -1/2) (*.f64 (pow.f64 x 4) 5/24))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)

eval85.0ms (1%)

Compiler: Compiled 3100 to 1339 computations (56.8% saved)

prune137.0ms (1.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	213	17	230
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	215	17	232

Error

0.0b

Counts

232 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	0.3b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	32.2b	(*.f64 (cosh.f64 x) 1)
	0.7b	(.f64 (cosh.f64 x) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
	29.2b	(*.f64 (cosh.f64 x) (/.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) y))
	0.5b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
	1.4b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
▶	20.3b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
	35.2b	(/.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2))
▶	2.3b	(/.f64 (sin.f64 y) y)
	29.2b	(/.f64 (log.f64 (exp.f64 (sin.f64 y))) (/.f64 y (cosh.f64 x)))
▶	0.1b	(*.f64 (cosh.f64 x) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
	20.3b	(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) (/.f64 y (cosh.f64 x)))
	0.7b	(.f64 (cosh.f64 x) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
▶	0.1b	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)

Compiler

Compiled 394 to 278 computations (29.4% saved)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`pow1_binary64`
799×	`add-log-exp_binary64`
798×	`log1p-expm1-u_binary64`
798×	`expm1-log1p-u_binary64`
781×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	149	19
2	2077	19

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

583×	`times-frac_binary64`
512×	`unswap-sqr_binary64`
501×	`associate-/l*_binary64`
434×	`fma-def_binary64`
325×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1172
1	224	1170
2	700	1054
3	2932	996
4	6718	996

Stop Event

1×	node limit

Counts

104 → 90

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
	0.0b	(sin.f64 y)
	0.0b	(sin.f64 y)
	0.1b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 9 to 4 computations (55.6% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize38.0ms (0.4%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))
	0.0b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	0.0b	(sin.f64 y)
	0.0b	(sin.f64 y)
✓	0.0b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
832×	`add-log-exp_binary64`
830×	`log1p-expm1-u_binary64`
830×	`expm1-log1p-u_binary64`
813×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	185	17
2	2314	17

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

590×	`associate-+l+_binary64`
492×	`times-frac_binary64`
491×	`associate-+r+_binary64`
383×	`associate-/l*_binary64`
341×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	722
1	170	718
2	507	656
3	1882	625
4	6392	616

Stop Event

1×	node limit

Counts

80 → 67

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

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
	0.0b	(*.f64 (cosh.f64 x) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
	0.0b	(sin.f64 y)
	0.0b	(log1p.f64 (/.f64 (sin.f64 y) y))
	0.0b	(sin.f64 y)
✓	0.0b	(*.f64 (cosh.f64 x) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
	0.1b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 32 to 8 computations (75% saved)

series27.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	y	@	0	(*.f64 (cosh.f64 x) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
0.0ms	y	@	0	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
0.0ms	y	@	inf	(*.f64 (cosh.f64 x) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
0.0ms	x	@	0	(*.f64 (cosh.f64 x) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
0.0ms	x	@	inf	(*.f64 (cosh.f64 x) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`pow1_binary64`
826×	`add-log-exp_binary64`
826×	`expm1-log1p-u_binary64`
825×	`log1p-expm1-u_binary64`
807×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	168	17
2	2180	17

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cosh.f64 x) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))

Outputs

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

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

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

590×	`associate-+l+_binary64`
492×	`times-frac_binary64`
491×	`associate-+r+_binary64`
383×	`associate-/l*_binary64`
341×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	722
1	170	718
2	507	656
3	1882	625
4	6392	616

Stop Event

1×	node limit

Counts

106 → 93

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

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
	0.1b	(/.f64 (sin.f64 y) y)
	0.0b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
	0.0b	(sin.f64 y)
✓	0.0b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
✓	20.3b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

Compiler

Compiled 36 to 15 computations (58.3% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
383×	`prod-exp_binary64`
350×	`exp-prod_binary64`
300×	`pow-prod-down_binary64`
248×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	218	26
2	2547	26

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

785×	`times-frac_binary64`
645×	`associate-/l*_binary64`
599×	`associate-+l+_binary64`
503×	`associate-+r+_binary64`
419×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	918
1	232	910
2	705	850
3	2784	795

Stop Event

1×	node limit

Counts

217 → 203

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))
(/.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 -1/6 (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)))
(/.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 (cbrt.f64 -1) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
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 (pow.f64 y 4) 13/120 (fma.f64 y (*.f64 y -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)))
(/.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)
(/.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 (/.f64 y x)) (sin.f64 y)) (/.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 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 (/.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 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (fma.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))) (.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (.f64 x x))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 x (/.f64 y x)) (sin.f64 y)) (.f64 (/.f64 (sin.f64 y) y) (+.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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (/.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 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (/.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 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (/.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 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (/.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 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (/.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 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (/.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 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (/.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 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (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 (*.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 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 (pow.f64 y 6) -1/10080))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (.f64 y y) -1/12) (.f64 (pow.f64 y 4) 1/240))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 (.f64 (pow.f64 y 6) -1/10080) 1/2) (+.f64 (.f64 (.f64 y 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 (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 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (/.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 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (/.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 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 (/.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 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 (*.f64 -1/2 (cbrt.f64 -1)) (sin.f64 y)))
(.f64 (/.f64 -1/2 y) (.f64 (sin.f64 y) (*.f64 (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 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 (*.f64 -1/2 (cbrt.f64 -1)) (sin.f64 y)))
(.f64 (/.f64 -1/2 y) (.f64 (sin.f64 y) (*.f64 (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 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 (*.f64 -1/2 (cbrt.f64 -1)) (sin.f64 y)))
(.f64 (/.f64 -1/2 y) (.f64 (sin.f64 y) (*.f64 (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 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 (*.f64 -1/2 (cbrt.f64 -1)) (sin.f64 y)))
(.f64 (/.f64 -1/2 y) (.f64 (sin.f64 y) (*.f64 (cbrt.f64 -1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

eval202.0ms (2.3%)

Compiler: Compiled 9009 to 4054 computations (55% saved)

prune171.0ms (1.9%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	644	15	659
Fresh	11	1	12
Picked	1	0	1
Done	1	3	4
Total	657	19	676

Error

0.0b

Counts

676 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	2.4b	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)
▶	32.2b	(*.f64 (cosh.f64 x) 1)
	34.0b	(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
✓	0.3b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
▶	2.3b	(pow.f64 (/.f64 y (sin.f64 y)) -1)
	30.1b	(/.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) y)
	33.5b	1
	2.4b	(*.f64 (/.f64 1 y) (sin.f64 y))
▶	21.8b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	2.8b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
▶	2.3b	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
	21.6b	(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y)
	2.9b	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
▶	1.8b	(/.f64 (.f64 (sin.f64 y) (+.f64 1 (.f64 1/2 (*.f64 x x)))) y)
	2.3b	(/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y)
✓	2.3b	(/.f64 (sin.f64 y) y)
	36.3b	(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
✓	0.1b	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
	30.1b	(/.f64 (log.f64 (exp.f64 (sin.f64 y))) y)

Compiler

Compiled 339 to 241 computations (28.9% saved)

localize44.0ms (0.5%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

series12.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/.f64 (.f64 (sin.f64 y) (+.f64 1 (.f64 1/2 (*.f64 x x)))) y)
1.0ms	y	@	0	(/.f64 (.f64 (sin.f64 y) (+.f64 1 (.f64 1/2 (*.f64 x x)))) y)
1.0ms	x	@	inf	(/.f64 (.f64 (sin.f64 y) (+.f64 1 (.f64 1/2 (*.f64 x x)))) y)
1.0ms	y	@	-inf	(/.f64 (.f64 (sin.f64 y) (+.f64 1 (.f64 1/2 (*.f64 x x)))) y)
1.0ms	x	@	0	(/.f64 (.f64 (sin.f64 y) (+.f64 1 (.f64 1/2 (*.f64 x x)))) y)

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
567×	`prod-diff_binary64`
365×	`fma-def_binary64`
296×	`pow2_binary64`
207×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	236	36
2	3220	36

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

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

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

((#(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 (*.f64 x x) 3)) 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 (*.f64 x x) 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)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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 (*.f64 x x) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (/.f64 1 (+.f64 1 (*.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 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))))))

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-/r*_binary64`
570×	`distribute-rgt-in_binary64`
566×	`distribute-lft-in_binary64`
482×	`associate-/r/_binary64`
480×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	1028
1	163	924
2	520	867
3	2281	840
4	4591	833

Stop Event

1×	node limit

Counts

202 → 172

Calls

Call 1

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

Outputs
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(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 1 (.f64 1/2 (.f64 x x))) (.f64 y y)) (+.f64 1 (.f64 1/2 (.f64 x x))))
(fma.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) -1/6) (.f64 y y) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (+.f64 (.f64 -1/6 (.f64 y y)) 1) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(+.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 1 (.f64 1/2 (.f64 x x))) (.f64 y y)) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (pow.f64 y 4))))))
(+.f64 (fma.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) -1/6) (.f64 y y) (fma.f64 1/2 (.f64 x x) 1)) (.f64 (.f64 1/120 (pow.f64 y 4)) (fma.f64 1/2 (*.f64 x x) 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 -1/6 (.f64 y y)) (+.f64 1 (*.f64 1/120 (pow.f64 y 4)))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) (*.f64 1/120 (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)))))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (.f64 y y)) (+.f64 1 (fma.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 6)) (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 4)))))))
(+.f64 (fma.f64 -1/5040 (.f64 (fma.f64 1/2 (.f64 x x) 1) (pow.f64 y 6)) (fma.f64 1/2 (.f64 x x) (.f64 (.f64 1/120 (pow.f64 y 4)) (fma.f64 1/2 (.f64 x x) 1)))) (fma.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) -1/6) (*.f64 y y) 1))
(+.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 -1/5040 (pow.f64 y 6)) (.f64 1/120 (pow.f64 y 4)))) (.f64 (+.f64 (.f64 -1/6 (.f64 y y)) 1) (fma.f64 1/2 (.f64 x x) 1)))
(fma.f64 (.f64 y y) (+.f64 -1/6 (.f64 (.f64 x x) -1/12)) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (*.f64 1/120 (pow.f64 y 4))))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/6 (.f64 y y))) (+.f64 (.f64 -1/5040 (pow.f64 y 6)) 1)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (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 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 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 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 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 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) 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 1/2 (.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)))
(.f64 1/2 (/.f64 x (/.f64 y (.f64 x (sin.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
(.f64 1/2 (.f64 (sin.f64 y) (*.f64 x (/.f64 x y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 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 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 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 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) 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 1/2 (.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)))
(.f64 1/2 (/.f64 x (/.f64 y (.f64 x (sin.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 x (/.f64 y x))))
(.f64 1/2 (.f64 (sin.f64 y) (*.f64 x (/.f64 x y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 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 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 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 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) y) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y)
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) y)
(.f64 (fma.f64 1/2 (.f64 x x) 1) y)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 3)) (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) y))
(fma.f64 (fma.f64 1/2 (.f64 x x) 1) y (.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 (pow.f64 y 3) -1/6)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 5))) (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y)))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 5)) (.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) y)))
(fma.f64 -1/6 (.f64 (fma.f64 1/2 (.f64 x x) 1) (pow.f64 y 3)) (fma.f64 (fma.f64 1/2 (.f64 x x) 1) y (.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 (pow.f64 y 5) 1/120))))
(fma.f64 (pow.f64 y 3) (+.f64 -1/6 (.f64 (.f64 x x) -1/12)) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 7))) (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 5)) (fma.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 7)) (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) y))))
(fma.f64 -1/6 (.f64 (fma.f64 1/2 (.f64 x x) 1) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (fma.f64 1/2 (.f64 x x) 1) (pow.f64 y 5)) (fma.f64 -1/5040 (.f64 (fma.f64 1/2 (.f64 x x) 1) (pow.f64 y 7)) (.f64 (fma.f64 1/2 (.f64 x x) 1) y))))
(+.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 y (.f64 -1/5040 (pow.f64 y 7)))) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (+.f64 y (.f64 -1/5040 (pow.f64 y 7))) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 y (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3))))))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(sin.f64 y)
(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2)))
(.f64 (.f64 1/2 (sin.f64 y)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 1/2 (sin.f64 y)))
(.f64 x (.f64 1/2 (*.f64 x (sin.f64 y))))
(.f64 1/2 (.f64 x (*.f64 x (sin.f64 y))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2)))
(.f64 (.f64 1/2 (sin.f64 y)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 1/2 (sin.f64 y)))
(.f64 x (.f64 1/2 (*.f64 x (sin.f64 y))))
(.f64 1/2 (.f64 x (*.f64 x (sin.f64 y))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (sin.f64 y))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (sin.f64 y))
(*.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))

localize5.0ms (0.1%)

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

localize32.0ms (0.4%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series4.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`pow1_binary64`
582×	`add-log-exp_binary64`
582×	`log1p-expm1-u_binary64`
582×	`expm1-log1p-u_binary64`
568×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	126	12
2	1591	12

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

652×	`distribute-lft-out_binary64`
457×	`associate-/r*_binary64`
452×	`associate-+l+_binary64`
432×	`distribute-rgt-out_binary64`
410×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	152
1	71	148
2	172	140
3	533	140
4	1909	140
5	3527	140
6	4407	140
7	5055	140
8	6055	140
9	7457	140

Stop Event

1×	node limit

Counts

85 → 82

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

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
	0.0b	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
	0.0b	(sin.f64 y)
	0.0b	(log1p.f64 (/.f64 (sin.f64 y) y))
✓	0.0b	(log1p.f64 (/.f64 (sin.f64 y) y))
	0.0b	(sin.f64 y)
	0.0b	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
	0.1b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 20 to 6 computations (70% saved)

series7.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(log1p.f64 (/.f64 (sin.f64 y) y))
1.0ms	y	@	-inf	(log1p.f64 (/.f64 (sin.f64 y) y))
1.0ms	y	@	0	(log1p.f64 (/.f64 (sin.f64 y) y))

rewrite40.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`pow1_binary64`
517×	`add-sqr-sqrt_binary64`
500×	`add-log-exp_binary64`
500×	`expm1-log1p-u_binary64`
499×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	102	8
2	1329	8

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (sin.f64 y) y))

Outputs

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

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-/l*_binary64`
705×	`fma-def_binary64`
573×	`associate-l_binary64`
540×	`distribute-rgt-out_binary64`
523×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	296
1	105	290
2	295	270
3	1146	258
4	6894	258

Stop Event

1×	node limit

Counts

27 → 29

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 y 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (.f64 1/1440 (pow.f64 y 4))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/18144 (pow.f64 y 6)) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (sin.f64 y) y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (+.f64 (/.f64 (sin.f64 y) y) (.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 y 4))) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))))
(/.f64 (sin.f64 y) y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (sin.f64 y) y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (+.f64 (/.f64 (sin.f64 y) y) (.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 y 4))) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 y 2)))
(+.f64 (log.f64 2) (.f64 -1/12 (.f64 y y)))
(fma.f64 -1/12 (*.f64 y y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (.f64 1/1440 (pow.f64 y 4))))
(+.f64 (log.f64 2) (fma.f64 -1/12 (.f64 y y) (.f64 1/1440 (pow.f64 y 4))))
(fma.f64 -1/12 (*.f64 y y) (fma.f64 1/1440 (pow.f64 y 4) (log.f64 2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/1440) -1/12) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/18144 (pow.f64 y 6)) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))))
(+.f64 (log.f64 2) (fma.f64 1/18144 (pow.f64 y 6) (fma.f64 -1/12 (.f64 y y) (.f64 1/1440 (pow.f64 y 4)))))
(fma.f64 1/18144 (pow.f64 y 6) (fma.f64 -1/12 (*.f64 y y) (fma.f64 1/1440 (pow.f64 y 4) (log.f64 2))))
(fma.f64 1/1440 (pow.f64 y 4) (fma.f64 1/18144 (pow.f64 y 6) (fma.f64 -1/12 (*.f64 y y) (log.f64 2))))
(/.f64 (sin.f64 y) y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (sin.f64 y) y))
(fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y)) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 (/.f64 (sin.f64 y) y) -1/2) 1) (/.f64 (sin.f64 y) y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (+.f64 (/.f64 (sin.f64 y) y) (.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y)) (/.f64 (sin.f64 y) y)) (.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))
(fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y)) (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (/.f64 (sin.f64 y) y)))
(fma.f64 1/3 (pow.f64 (/.f64 (sin.f64 y) y) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y)) (/.f64 (sin.f64 y) y)))
(fma.f64 1/3 (pow.f64 (/.f64 (sin.f64 y) y) 3) (.f64 (+.f64 (.f64 (/.f64 (sin.f64 y) y) -1/2) 1) (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 y 4))) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y)) (+.f64 (/.f64 (sin.f64 y) y) (fma.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 y 4)) (.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 y 4)) (.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))) (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y)) (/.f64 (sin.f64 y) y)))
(fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y)) (fma.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 y 4)) (fma.f64 1/3 (pow.f64 (/.f64 (sin.f64 y) y) 3) (/.f64 (sin.f64 y) y))))
(fma.f64 1/3 (pow.f64 (/.f64 (sin.f64 y) y) 3) (fma.f64 -1/4 (pow.f64 (/.f64 (sin.f64 y) y) 4) (.f64 (+.f64 (.f64 (/.f64 (sin.f64 y) y) -1/2) 1) (/.f64 (sin.f64 y) y))))
(/.f64 (sin.f64 y) y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (/.f64 (sin.f64 y) y))
(fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y)) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 (/.f64 (sin.f64 y) y) -1/2) 1) (/.f64 (sin.f64 y) y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (+.f64 (/.f64 (sin.f64 y) y) (.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y)) (/.f64 (sin.f64 y) y)) (.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))
(fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y)) (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (/.f64 (sin.f64 y) y)))
(fma.f64 1/3 (pow.f64 (/.f64 (sin.f64 y) y) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y)) (/.f64 (sin.f64 y) y)))
(fma.f64 1/3 (pow.f64 (/.f64 (sin.f64 y) y) 3) (.f64 (+.f64 (.f64 (/.f64 (sin.f64 y) y) -1/2) 1) (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 y 4))) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y)) (+.f64 (/.f64 (sin.f64 y) y) (fma.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 y 4)) (.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 y 4)) (.f64 1/3 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))) (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y)) (/.f64 (sin.f64 y) y)))
(fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y)) (fma.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 y 4)) (fma.f64 1/3 (pow.f64 (/.f64 (sin.f64 y) y) 3) (/.f64 (sin.f64 y) y))))
(fma.f64 1/3 (pow.f64 (/.f64 (sin.f64 y) y) 3) (fma.f64 -1/4 (pow.f64 (/.f64 (sin.f64 y) y) 4) (.f64 (+.f64 (.f64 (/.f64 (sin.f64 y) y) -1/2) 1) (/.f64 (sin.f64 y) y))))

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	20.3b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
	0.1b	(/.f64 (sin.f64 y) y)
	0.0b	(sin.f64 y)
	0.0b	(sin.f64 y)
	0.1b	(/.f64 (sin.f64 y) y)
	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
	20.3b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

Compiler

Compiled 23 to 10 computations (56.5% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval257.0ms (2.9%)

Compiler: Compiled 8297 to 4357 computations (47.5% saved)

prune127.0ms (1.4%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	630	9	639
Fresh	5	6	11
Picked	0	1	1
Done	1	6	7
Total	636	22	658

Error

Counts

658 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	2.4b	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)
✓	32.2b	(*.f64 (cosh.f64 x) 1)
✓	0.3b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	2.4b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
	2.4b	(*.f64 (/.f64 1 y) (sin.f64 y))
✓	21.8b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	60.7b	(/.f64 (.f64 1/2 (.f64 x (*.f64 x (sin.f64 y)))) y)
✓	2.3b	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
	35.0b	(pow.f64 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y)))) -1)
	2.3b	(/.f64 1 (/.f64 y (sin.f64 y)))
	33.5b	1
✓	0.1b	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
	30.1b	(/.f64 (log.f64 (exp.f64 (sin.f64 y))) y)
	34.9b	(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
▶	33.2b	(/.f64 (.f64 y (+.f64 1 (.f64 1/2 (*.f64 x x)))) y)
▶	21.6b	(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y)
✓	1.8b	(/.f64 (.f64 (sin.f64 y) (+.f64 1 (.f64 1/2 (*.f64 x x)))) y)
▶	2.4b	(pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) y) -1)
▶	2.3b	(/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y)
▶	30.1b	(/.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) y)
	2.8b	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3) -1)
✓	2.3b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 348 to 255 computations (26.7% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(log1p.f64 (sin.f64 y))
	0.2b	(expm1.f64 (log1p.f64 (sin.f64 y)))
	0.1b	(/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y)
	0.0b	(sin.f64 y)
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y)
✓	0.2b	(expm1.f64 (log1p.f64 (sin.f64 y)))
✓	0.3b	(log1p.f64 (sin.f64 y))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series100.0ms (1.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
77.0ms	y	@	inf	(log1p.f64 (sin.f64 y))
21.0ms	y	@	-inf	(log1p.f64 (sin.f64 y))
1.0ms	y	@	0	(log1p.f64 (sin.f64 y))
0.0ms	y	@	0	(expm1.f64 (log1p.f64 (sin.f64 y)))
0.0ms	y	@	inf	(expm1.f64 (log1p.f64 (sin.f64 y)))

rewrite143.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`pow1_binary64`
510×	`expm1-log1p-u_binary64`
509×	`add-log-exp_binary64`
509×	`log1p-expm1-u_binary64`
497×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	105	14
2	1346	14

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y)

Outputs

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

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

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

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

749×	`fma-def_binary64`
505×	`unswap-sqr_binary64`
487×	`associate-l_binary64`
477×	`distribute-rgt-out_binary64`
425×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	262
1	123	256
2	299	250
3	943	244
4	3186	244
5	5423	244
6	6700	244
7	7249	244
8	7782	244

Stop Event

1×	node limit

Counts

101 → 88

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.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
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(fma.f64 -1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y -1/2) y)
(*.f64 y (fma.f64 y -1/2 1))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 -1/2 (.f64 y y) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 y (*.f64 y (fma.f64 y 1/6 -1/2)) y)
(fma.f64 (*.f64 y y) (fma.f64 y 1/6 -1/2) y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) y) (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/12 (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 y y) (+.f64 (fma.f64 1/6 (pow.f64 y 3) y) (.f64 -1/12 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 -1/12 (pow.f64 y 4) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 y (*.f64 y (fma.f64 y 1/6 -1/2)) (fma.f64 -1/12 (pow.f64 y 4) y))
(fma.f64 (*.f64 y y) (fma.f64 y 1/6 -1/2) (fma.f64 -1/12 (pow.f64 y 4) y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 (pow.f64 y 3) -1/6 y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 (pow.f64 y 3) -1/6 y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 (pow.f64 y 3) -1/6 y)))
(fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 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 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 1)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 (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 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)

localize16.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 41 to 22 computations (46.3% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(.f64 y (+.f64 1 (.f64 1/2 (*.f64 x x))))
0.0ms	y	@	-inf	(.f64 y (+.f64 1 (.f64 1/2 (*.f64 x x))))
0.0ms	x	@	0	(.f64 y (+.f64 1 (.f64 1/2 (*.f64 x x))))
0.0ms	x	@	inf	(.f64 y (+.f64 1 (.f64 1/2 (*.f64 x x))))
0.0ms	y	@	0	(.f64 y (+.f64 1 (.f64 1/2 (*.f64 x x))))

rewrite135.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`log-prod_binary64`
542×	`prod-diff_binary64`
365×	`fma-def_binary64`
364×	`pow-prod-down_binary64`
270×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	217	25
2	2991	19

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

Outputs

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

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

simplify171.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
637×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
615×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	519
1	28	435
2	61	435
3	135	435
4	341	435
5	1039	435
6	1349	435
7	1765	435
8	1865	435
9	1998	435
10	2170	435
11	2413	435
12	2728	435
13	3098	435
14	3552	435
15	4129	435
16	4841	435
17	5697	435
18	6121	435
19	6437	435
20	6745	435
21	6825	435
22	6859	435

Stop Event

1×	node limit

Counts

178 → 140

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.8b	(-.f64 (+.f64 1 (sin.f64 y)) 1)
	0.4b	(+.f64 1 (sin.f64 y))
	0.1b	(/.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) y)
	0.0b	(sin.f64 y)
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) y)
✓	0.4b	(+.f64 1 (sin.f64 y))
✓	2.8b	(-.f64 (+.f64 1 (sin.f64 y)) 1)

Compiler

Compiled 24 to 15 computations (37.5% saved)

series7.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(-.f64 (+.f64 1 (sin.f64 y)) 1)
0.0ms	y	@	0	(+.f64 1 (sin.f64 y))
0.0ms	y	@	-inf	(+.f64 1 (sin.f64 y))
0.0ms	y	@	inf	(+.f64 1 (sin.f64 y))
0.0ms	y	@	0	(/.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) y)

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`pow1_binary64`
837×	`add-log-exp_binary64`
837×	`log1p-expm1-u_binary64`
837×	`expm1-log1p-u_binary64`
822×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	27
1	162	15
2	2376	15

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

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

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

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

547×	`fma-def_binary64`
505×	`unswap-sqr_binary64`
482×	`distribute-lft-out_binary64`
475×	`associate-/r*_binary64`
392×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	206
1	107	202
2	254	198
3	730	198
4	2407	198
5	4308	198
6	5049	198
7	5686	198
8	6568	198
9	7806	198

Stop Event

1×	node limit

Counts

133 → 126

Calls

Call 1

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

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (/.f64 1 (sin.f64 y)) y)
	0.1b	(pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) y) -1)
	0.1b	(/.f64 1 (sin.f64 y))
	0.0b	(sin.f64 y)
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.1b	(pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) y) -1)
✓	0.2b	(*.f64 (/.f64 1 (sin.f64 y)) y)

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`pow1_binary64`
665×	`add-log-exp_binary64`
663×	`log1p-expm1-u_binary64`
663×	`expm1-log1p-u_binary64`
648×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	162	18
2	1880	18

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

Outputs

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

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

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

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-def_binary64`
538×	`distribute-rgt-out_binary64`
525×	`associate-l_binary64`
492×	`unswap-sqr_binary64`
441×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	255
1	105	249
2	264	237
3	812	237
4	3192	237
5	5514	237
6	6890	237
7	7667	237

Stop Event

1×	node limit

Counts

95 → 87

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))
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)
(/.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)))))

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)
(fma.f64 y (*.f64 1/6 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 y (*.f64 1/6 y) (fma.f64 7/360 (pow.f64 y 4) 1))
(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 y (*.f64 1/6 y) (fma.f64 7/360 (pow.f64 y 4) 1)))
(fma.f64 1/6 (*.f64 y y) (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 7/360 (pow.f64 y 4) 1)))
(fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) (fma.f64 31/15120 (pow.f64 y 6) 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 7/360) 1/6) (fma.f64 31/15120 (pow.f64 y 6) 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))
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)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 (fma.f64 (pow.f64 y 6) -1/5040 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)
(/.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)))
(fma.f64 y (fma.f64 y (*.f64 y 7/360) 1/6) (/.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)))))
(fma.f64 31/15120 (pow.f64 y 5) (fma.f64 1/6 y (fma.f64 7/360 (pow.f64 y 3) (/.f64 1 y))))
(fma.f64 7/360 (pow.f64 y 3) (fma.f64 31/15120 (pow.f64 y 5) (fma.f64 1/6 y (/.f64 1 y))))
(fma.f64 1/6 y (fma.f64 7/360 (pow.f64 y 3) (fma.f64 31/15120 (pow.f64 y 5) (/.f64 1 y))))

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	19.6b	(cbrt.f64 (pow.f64 (sin.f64 y) 3))
	0.3b	(pow.f64 (sin.f64 y) 3)
	0.1b	(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y)
	0.0b	(sin.f64 y)
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y)
✓	0.3b	(pow.f64 (sin.f64 y) 3)
✓	19.6b	(cbrt.f64 (pow.f64 (sin.f64 y) 3))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	153	15
2	1644	15

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

((#(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 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 expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))))

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-def_binary64`
517×	`unswap-sqr_binary64`
484×	`associate-/r*_binary64`
482×	`distribute-lft-out_binary64`
425×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	236
1	125	230
2	310	224
3	870	222
4	2711	222
5	4651	222
6	5427	222
7	6111	222
8	7092	222

Stop Event

1×	node limit

Counts

97 → 91

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 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)))))
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
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))
(fma.f64 (pow.f64 y 5) -1/2 (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 (pow.f64 y 7) 13/120)))
(+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (*.f64 (pow.f64 y 7) 13/120))
(fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3)))
(fma.f64 (pow.f64 y 7) 13/120 (fma.f64 (pow.f64 y 5) -1/2 (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 (pow.f64 y 7) 13/120))))
(+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (*.f64 -41/3024 (pow.f64 y 9)))))
(fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (fma.f64 -41/3024 (pow.f64 y 9) (pow.f64 y 3))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 (.f64 y y) (fma.f64 1/120 (.f64 y y) -1/6) 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 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 (.f64 y y) (fma.f64 1/120 (.f64 y y) -1/6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/120) -1/6) 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)

eval231.0ms (2.6%)

Compiler: Compiled 7660 to 4394 computations (42.6% saved)

prune124.0ms (1.4%)

Pruning

27 alts after pruning (17 fresh and 10 done)

	Pruned	Kept	Total
New	639	12	651
Fresh	5	5	10
Picked	0	1	1
Done	2	9	11
Total	646	27	673

Error

Counts

673 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	2.4b	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)
✓	32.2b	(*.f64 (cosh.f64 x) 1)
✓	0.3b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	30.2b	(/.f64 (+.f64 1 (+.f64 (sin.f64 y) -1)) y)
	2.4b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
✓	21.8b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	33.1b	(/.f64 (expm1.f64 y) y)
	29.9b	(-.f64 (/.f64 (+.f64 1 (sin.f64 y)) y) (/.f64 1 y))
	60.7b	(/.f64 (.f64 1/2 (.f64 x (*.f64 x (sin.f64 y)))) y)
✓	2.3b	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
	30.2b	(/.f64 (/.f64 (-.f64 1 (*.f64 (+.f64 (sin.f64 y) -1) (+.f64 (sin.f64 y) -1))) (-.f64 1 (+.f64 (sin.f64 y) -1))) y)
✓	2.3b	(/.f64 (sin.f64 y) y)
	33.5b	1
	61.0b	(/.f64 (-.f64 (+.f64 y 1) 1) y)
	2.4b	(*.f64 (/.f64 1 y) (sin.f64 y))
✓	0.1b	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
	2.3b	(/.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) 2) (sin.f64 y)) (-.f64 (+.f64 1 (sin.f64 y)) -1)) y)
	61.3b	(/.f64 (-.f64 1 1) y)
	34.9b	(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
	33.2b	(+.f64 (.f64 1/2 (.f64 x x)) 1)
	60.9b	(/.f64 (.f64 1/2 (.f64 x (*.f64 x y))) y)
✓	21.6b	(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y)
✓	1.8b	(/.f64 (.f64 (sin.f64 y) (+.f64 1 (.f64 1/2 (*.f64 x x)))) y)
✓	2.4b	(pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) y) -1)
✓	30.1b	(/.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) y)
	60.8b	(.f64 1/2 (.f64 x x))
	2.3b	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 263 to 193 computations (26.6% saved)

regimes76.0ms (0.9%)

Counts

27 → 1

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(/.f64 (-.f64 1 1) y)
(+.f64 (.f64 1/2 (.f64 x x)) 1)
(/.f64 (-.f64 (+.f64 y 1) 1) y)
(/.f64 (.f64 1/2 (.f64 x (*.f64 x y))) y)
(/.f64 (sin.f64 y) y)
(/.f64 (expm1.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) y)
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (+.f64 1 (+.f64 (sin.f64 y) -1)) y)
(/.f64 (.f64 1/2 (.f64 x (*.f64 x (sin.f64 y)))) y)
(-.f64 (/.f64 (+.f64 1 (sin.f64 y)) y) (/.f64 1 y))
(/.f64 (.f64 (sin.f64 y) (+.f64 1 (.f64 1/2 (*.f64 x x)))) y)
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) y) -1)
(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(/.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) 2) (sin.f64 y)) (-.f64 (+.f64 1 (sin.f64 y)) -1)) y)
(/.f64 (/.f64 (-.f64 1 (*.f64 (+.f64 (sin.f64 y) -1) (+.f64 (sin.f64 y) -1))) (-.f64 1 (+.f64 (sin.f64 y) -1))) y)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))

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

Calls

5 calls:

20.0ms	(/.f64 (sin.f64 y) y)
18.0ms	x
15.0ms	y
12.0ms	(/.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	`(cosh.f64 x)`
0.1b	1	`(/.f64 (sin.f64 y) y)`
0.1b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 233 to 132 computations (43.3% saved)

regimes50.0ms (0.6%)

Counts

17 → 1

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(/.f64 (-.f64 1 1) y)
(+.f64 (.f64 1/2 (.f64 x x)) 1)
(/.f64 (-.f64 (+.f64 y 1) 1) y)
(/.f64 (.f64 1/2 (.f64 x (*.f64 x y))) y)
(/.f64 (sin.f64 y) y)
(/.f64 (expm1.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) y)
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (+.f64 1 (+.f64 (sin.f64 y) -1)) y)
(/.f64 (.f64 1/2 (.f64 x (*.f64 x (sin.f64 y)))) y)
(-.f64 (/.f64 (+.f64 1 (sin.f64 y)) y) (/.f64 1 y))
(/.f64 (.f64 (sin.f64 y) (+.f64 1 (.f64 1/2 (*.f64 x x)))) y)

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

Calls

6 calls:

12.0ms	(/.f64 (sin.f64 y) y)
10.0ms	y
10.0ms	x
8.0ms	(/.f64 (sin.f64 y) y)
3.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.8b	1	`x`
1.8b	1	`y`
1.8b	1	`(cosh.f64 x)`
1.8b	1	`(cosh.f64 x)`
1.8b	1	`(/.f64 (sin.f64 y) y)`
1.8b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 142 to 87 computations (38.7% saved)

regimes92.0ms (1%)

Counts

16 → 2

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(/.f64 (-.f64 1 1) y)
(+.f64 (.f64 1/2 (.f64 x x)) 1)
(/.f64 (-.f64 (+.f64 y 1) 1) y)
(/.f64 (.f64 1/2 (.f64 x (*.f64 x y))) y)
(/.f64 (sin.f64 y) y)
(/.f64 (expm1.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) y)
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (+.f64 1 (+.f64 (sin.f64 y) -1)) y)
(/.f64 (.f64 1/2 (.f64 x (*.f64 x (sin.f64 y)))) y)
(-.f64 (/.f64 (+.f64 1 (sin.f64 y)) y) (/.f64 1 y))

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

Calls

4 calls:

48.0ms	y
24.0ms	(/.f64 (sin.f64 y) y)
9.0ms	x
5.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
2.3b	1	`x`
1.0b	3	`y`
1.2b	2	`(cosh.f64 x)`
1.0b	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 120 to 74 computations (38.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999996931594	1.0

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes81.0ms (0.9%)

Counts

8 → 1

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(/.f64 (-.f64 1 1) y)
(+.f64 (.f64 1/2 (.f64 x x)) 1)
(/.f64 (-.f64 (+.f64 y 1) 1) y)
(/.f64 (.f64 1/2 (.f64 x (*.f64 x y))) y)
(/.f64 (sin.f64 y) y)
(/.f64 (expm1.f64 y) y)

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

Calls

3 calls:

66.0ms	x
7.0ms	(/.f64 (sin.f64 y) y)
6.0ms	y

Results

Error	Segments	Branch
2.3b	1	`x`
2.3b	1	`y`
2.3b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 56 to 36 computations (35.7% saved)

regimes13.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Error	Segments	Branch
33.2b	1	`x`
33.2b	1	`y`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -28.6b remaining (-85.5%)

Threshold costs -28.6b (-85.5%)

Counts

3 → 1

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(/.f64 (-.f64 1 1) y)

Outputs
1

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
33.5b	1	`x`
33.5b	1	`y`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify3.0ms (0%)

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	20	66
1	27	66

Stop Event

1×

saturated

Calls

Call 1

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

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

end55.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 102 to 60 computations (41.2% saved)