Details

analyze486.0ms (8.1%)

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
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.8s (63.6%)

Results

1.1s	1964×	body	1024	invalid
1.1s	2022×	body	1024	valid
603.0ms	4590×	body	128	valid
372.0ms	1110×	body	512	valid
327.0ms	1015×	body	512	invalid
122.0ms	485×	body	256	invalid
117.0ms	528×	body	256	valid
100.0ms	713×	body	128	invalid
8.0ms	6×	body	2048	valid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess41.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

824×	`fma-def_binary64`
408×	`associate-/r/_binary64`
389×	`associate-*l/_binary64`
350×	`associate-/l/_binary64`
237×	`*-commutative_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
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 9 to 6 computations (33.3% saved)

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

772×	`unswap-sqr_binary64`
510×	`fma-def_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

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)))

prune3.0ms (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

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.4b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	0.4b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

Compiler

Compiled 52 to 32 computations (38.5% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	0.3b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

series17.0ms (0.3%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	y	@	-inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	x	@	-inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	x	@	inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms	y	@	inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
776×	`log1p-expm1-u_binary64`
776×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_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 → 83

Calls

Call 1

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

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

Outputs

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

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

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

579×	`fma-neg_binary64`
528×	`times-frac_binary64`
337×	`sub-neg_binary64`
337×	`fma-def_binary64`
211×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	767
1	288	732
2	875	710
3	3569	709

Stop Event

1×	node limit

Counts

115 → 115

Calls

Call 1

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

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

prune118.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	105	10	115
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	107	10	117

Error

0.2b

Counts

117 → 10

Alt Table

Status	Error	Program
	18.2b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	1.6b	(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) y))
	40.6b	(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) y))
	1.0b	(.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))))
	1.0b	(+.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)))))
	0.5b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	39.7b	(*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))
	18.3b	(*.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y))
	26.5b	(*.f64 (cosh.f64 x) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 y)))) y))
▶	0.5b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 1898 to 945 computations (50.2% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.4b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

series4.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
82×	`*-un-lft-identity_binary64`
82×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

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

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

simplify34.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

528×	`times-frac_binary64`
336×	`fma-neg_binary64`
321×	`fma-def_binary64`
260×	`sub-neg_binary64`
176×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	707
1	237	678
2	710	662
3	2856	646

Stop Event

1×	node limit

Counts

104 → 101

Calls

Call 1

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

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

prune107.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	127	9	136

Error

0.2b

Counts

136 → 9

Alt Table

Status	Error	Program
▶	0.5b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
	40.6b	(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) y))
	18.2b	(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
	18.3b	(*.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y))
	1.6b	(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) y))
	1.0b	(+.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)))))
	39.7b	(*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))
	26.5b	(*.f64 (cosh.f64 x) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 y)))) y))
✓	0.5b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 2029 to 943 computations (53.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite42.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`pow1_binary64`
769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

638×	`times-frac_binary64`
336×	`fma-neg_binary64`
281×	`fma-def_binary64`
260×	`sub-neg_binary64`
206×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1105
1	247	1040
2	726	990
3	2822	974

Stop Event

1×	node limit

Counts

105 → 85

Calls

Call 1

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

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

prune99.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	110	9	119

Error

0.2b

Counts

119 → 9

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
	40.6b	(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) y))
	18.2b	(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
	18.3b	(*.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y))
▶	1.0b	(+.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)))))
	39.7b	(*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))
	26.5b	(*.f64 (cosh.f64 x) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 y)))) y))
✓	0.5b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	1.6b	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) (/.f64 (cosh.f64 x) y))

Compiler

Compiled 1821 to 875 computations (51.9% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	1.7b	(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)
✓	1.8b	(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
✓	7.1b	(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)

series18.0ms (0.3%)

Counts

3 → 12

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
1.0ms	y	@	-inf	(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
1.0ms	y	@	inf	(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)
1.0ms	y	@	-inf	(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
1.0ms	y	@	inf	(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)

rewrite66.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

276×	`log1p-udef_binary64`
165×	`add-sqr-sqrt_binary64`
163×	`pow1_binary64`
160×	`*-un-lft-identity_binary64`
157×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	349	36
2	4493	36

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)

Outputs

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

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

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

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

519×	`distribute-rgt-neg-in_binary64`
515×	`distribute-lft-neg-in_binary64`
390×	`associate-l_binary64`
389×	`associate-r_binary64`
250×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	304
1	147	276
2	572	232
3	3031	219

Stop Event

1×	node limit

Counts

141 → 151

Calls

Call 1

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

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

prune230.0ms (3.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	191	9	200

Error

0.2b

Counts

200 → 9

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
	40.6b	(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3) y))
	18.2b	(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
	18.3b	(*.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y))
	36.0b	(+.f64 (fma.f64 (.f64 y y) -1/6 1) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
	39.7b	(*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))
	26.5b	(*.f64 (cosh.f64 x) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 y)))) y))
✓	0.5b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	1.6b	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) (/.f64 (cosh.f64 x) y))

Compiler

Compiled 8294 to 4682 computations (43.5% saved)

regimes508.0ms (8.4%)

Accuracy

Total 0.1b remaining (66.3%)

Threshold costs 0.1b (66.3%)

Counts

145 → 1

Compiler

Compiled 1829 to 764 computations (58.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	11	20

Stop Event

1×

saturated

Calls

Call 1

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

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

end137.0ms (2.3%)

Stop Event

1×

fuel

Compiler

Compiled 171 to 119 computations (30.4% saved)

Details

analyze486.0ms (8.1%)

sample3.8s (63.6%)

preprocess41.0ms (0.7%)

simplify31.0ms (0.5%)

prune3.0ms (0%)

localize5.0ms (0.1%)

series17.0ms (0.3%)

rewrite52.0ms (0.9%)

simplify40.0ms (0.7%)

prune118.0ms (2%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite46.0ms (0.8%)

simplify34.0ms (0.6%)

prune107.0ms (1.8%)

localize6.0ms (0.1%)

series5.0ms (0.1%)

rewrite42.0ms (0.7%)

simplify41.0ms (0.7%)

prune99.0ms (1.6%)

localize21.0ms (0.4%)

series18.0ms (0.3%)

rewrite66.0ms (1.1%)

simplify28.0ms (0.5%)

prune230.0ms (3.8%)

regimes508.0ms (8.4%)

simplify2.0ms (0%)

end137.0ms (2.3%)

Profiling