Details

analyze162.0ms (3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	8
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	9
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	10
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	11
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample2.7s (49.9%)

Results

661.0ms	2012×	body	1024	valid
652.0ms	5218×	body	256	valid
646.0ms	1996×	body	1024	infinite
269.0ms	2020×	body	256	infinite
253.0ms	1020×	body	512	valid
220.0ms	1043×	body	512	infinite
4.0ms	6×	body	2048	valid

Bogosity

preprocess53.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1300×	`associate-*r/`
1142×	`distribute-lft-in`
1098×	`associate-/r*`
988×	`distribute-rgt-in`
824×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	63	42
3	138	42
4	315	42
5	747	42
6	2400	42
7	6377	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
(*.f64 (sinh.f64 x) (/.f64 (cos.f64 y) x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1226×	`fma-neg`
1040×	`associate-r`
842×	`associate-/l*`
742×	`distribute-lft-in`
686×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	36	21
3	75	21
4	167	21
5	389	21
6	1223	21
7	4871	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(sinh.f64 y)

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`add-sqr-sqrt`
1358×	`*-un-lft-identity`
1266×	`add-cube-cbrt`
1248×	`add-cbrt-cube`
1238×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	126	16
2	1662	16

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(sinh.f64 y)
(/.f64 (sinh.f64 y) y)

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

Outputs

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

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

simplify82.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1102×	`times-frac`
950×	`associate-+r-`
910×	`associate-/r*`
872×	`unswap-sqr`
626×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1751
1	346	1435
2	1910	1139
3	7703	1139

Stop Event

1×	node limit

Counts

75 → 88

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(-.f64 (+.f64 1 (sinh.f64 y)) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(*.f64 (sinh.f64 y) 1)
(*.f64 1 (sinh.f64 y))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(pow.f64 (sinh.f64 y) 1)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(log.f64 (exp.f64 (sinh.f64 y)))
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))

Outputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(fma.f64 1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(-.f64 (+.f64 1 (sinh.f64 y)) 1)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 1 (sinh.f64 y))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (sinh.f64 y) 1)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(log.f64 (exp.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)

eval18.0ms (0.3%)

Compiler: Compiled 1103 to 535 computations (51.5% saved)

prune13.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Error

Counts

89 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.0b	(*.f64 (cos.f64 x) (/.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) y))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	1.2b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	1.4b	(*.f64 (cos.f64 x) 1)

Compiler

Compiled 40 to 30 computations (25% saved)

localize5.0ms (0.1%)

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	0.2b	(.f64 1/6 (.f64 y y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series30.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	y	@	0	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
1.0ms	x	@	inf	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
1.0ms	y	@	inf	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
0.0ms	x	@	0	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
0.0ms	y	@	0	(.f64 1/6 (.f64 y y))

rewrite94.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`*-commutative`
848×	`unswap-sqr`
652×	`swap-sqr`
526×	`distribute-lft-in`
514×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	246	38
2	3047	38

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(.f64 1/6 (.f64 y y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 1/6 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 y (.f64 1/6 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (.f64 1/6 y) y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 1/6 y) y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y)))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) 1/36)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 1/6 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 y 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 1/6 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (/.f64 1 (fma.f64 (.f64 1/6 y) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (-.f64 1 (.f64 y (.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 y 4) 1/36))) (.f64 (cos.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (-.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (.f64 y (.f64 1/6 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36)))) (neg.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (+.f64 -1 (neg.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (neg.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (-.f64 1 (.f64 y (.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 y 4) 1/36)))) (.f64 (cos.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (-.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1) (cos.f64 x)) (-.f64 (.f64 y (.f64 1/6 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36))) (cos.f64 x)) (neg.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (cos.f64 x)) (neg.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (.f64 y (.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) 1) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 y 4) 1/36))) 1) 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y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 1/6 y) y 1)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 1/6 y) y 1) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) 1 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 x) (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 1/6 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 y (*.f64 1/6 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 1/6 y) y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))) 1/36)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 1/6 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 1/6 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (*.f64 (*.f64 y (*.f64 1/6 y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 1/6 y) y 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (*.f64 (*.f64 y (*.f64 1/6 y)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (/.f64 1 (fma.f64 (*.f64 1/6 y) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (/.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) 1/36) 1/6))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (-.f64 1 (*.f64 y (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) (+.f64 1 (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) 1/36) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 y 4) 1/36))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 y (*.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (cos.f64 x)) (-.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (cos.f64 x)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (*.f64 y (*.f64 1/6 y)) 1))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 1/6 y) y 1)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 1/6 y) y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 1/6 y) y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 1/6 y) y 1) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 1/6 y) y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 1/6 y) y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 1/6 y) y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) 1 (*.f64 (*.f64 y (*.f64 1/6 y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 x) (*.f64 (*.f64 y (*.f64 1/6 y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 y (*.f64 1/6 y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (*.f64 (*.f64 y (*.f64 1/6 y)) (cos.f64 x)))))))

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1610×	`associate-/l*`
1154×	`distribute-lft-in`
1046×	`distribute-rgt-in`
974×	`*-commutative`
878×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	4392
1	644	4070
2	2539	3950

Stop Event

1×	node limit

Counts

106 → 135

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (.f64 -1/720 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (.f64 1/6 (pow.f64 y 2))))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 y (.f64 1/6 y)) 0)
(+.f64 1 (-.f64 (.f64 y (.f64 1/6 y)) 1))
(-.f64 (fma.f64 (*.f64 1/6 y) y 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y)))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) 1/36)) 1))
(pow.f64 (.f64 y (.f64 1/6 y)) 1)
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 1/6 y))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 1/6 y)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 1/6 y))))
(exp.f64 (log.f64 (.f64 y (.f64 1/6 y))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 1/6 y))))
(+.f64 (cos.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(+.f64 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x))))
(-.f64 (+.f64 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(/.f64 (cos.f64 x) (/.f64 1 (fma.f64 (*.f64 1/6 y) y 1)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 (-.f64 1 (.f64 y (*.f64 1/6 y))) (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))) (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (-.f64 1 (.f64 y (.f64 1/6 y))))
(/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 y 4) 1/36))) (.f64 (cos.f64 x) (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (-.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (.f64 y (.f64 1/6 y)) 1))
(/.f64 (.f64 (cos.f64 x) (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36)))) (neg.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (cos.f64 x) (+.f64 -1 (neg.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (neg.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (-.f64 1 (.f64 y (*.f64 1/6 y))))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 y 4) 1/36)))) (.f64 (cos.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (-.f64 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1) (cos.f64 x)) (-.f64 (.f64 y (.f64 1/6 y)) 1))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36))) (cos.f64 x)) (neg.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (cos.f64 x)) (neg.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (.f64 y (*.f64 1/6 y))))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) 1) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 y 4) 1/36))) 1) (.f64 (cos.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (-.f64 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (.f64 y (.f64 1/6 y))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y))))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))) (cbrt.f64 (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) 1) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))
(pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 1)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 1/6 y) y 1)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 1/6 y) y 1) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(fma.f64 (cos.f64 x) 1 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(fma.f64 1 (cos.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))

Outputs
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (.f64 x x)) (.f64 1/6 (.f64 y y))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 -1/2 (.f64 x (.f64 x (fma.f64 1/6 (*.f64 y y) 1))))))
(.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (.f64 x x)) (fma.f64 1/24 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 4)) (.f64 1/6 (*.f64 y y)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x (.f64 x (fma.f64 1/6 (.f64 y y) 1))) (fma.f64 1/6 (.f64 y y) (.f64 (fma.f64 1/6 (.f64 y y) 1) (*.f64 (pow.f64 x 4) 1/24)))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/720 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (.f64 1/6 (pow.f64 y 2))))))
(fma.f64 -1/720 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 6)) (+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (.f64 x x)) (fma.f64 1/24 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 4)) (.f64 1/6 (.f64 y y))))))
(+.f64 (fma.f64 -1/2 (.f64 x (.f64 x (fma.f64 1/6 (.f64 y y) 1))) (fma.f64 1/6 (.f64 y y) (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (pow.f64 x 4) 1/24)))) (fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 1/6 (*.f64 y y) 1)) 1))
(fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 1/6 (.f64 y y) 1)) (+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4))))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 y (.f64 1/6 y)) 0)
(.f64 1/6 (.f64 y y))
(+.f64 1 (-.f64 (.f64 y (.f64 1/6 y)) 1))
(.f64 1/6 (.f64 y y))
(-.f64 (fma.f64 (*.f64 1/6 y) y 1) 1)
(.f64 1/6 (.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 y y) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y)))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) 1/36)) 1))
(-.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y)))) (+.f64 1 (.f64 (/.f64 (pow.f64 y 4) (-.f64 1 (.f64 y (*.f64 1/6 y)))) 1/36)))
(-.f64 (/.f64 1 (-.f64 1 (.f64 1/6 (.f64 y y)))) (fma.f64 (/.f64 (pow.f64 y 4) (-.f64 1 (.f64 1/6 (.f64 y y)))) 1/36 1))
(+.f64 (/.f64 1 (+.f64 1 (.f64 y (.f64 y -1/6)))) (-.f64 -1 (/.f64 (pow.f64 y 4) (-.f64 36 (/.f64 y (/.f64 1/6 y))))))
(pow.f64 (.f64 y (.f64 1/6 y)) 1)
(.f64 1/6 (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 1/6 y))) 3)
(.f64 1/6 (.f64 y y))
(pow.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 1/3)
(.f64 1/6 (.f64 y y))
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))
(.f64 1/6 (.f64 y (log.f64 (exp.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 1/6 y)))))
(.f64 1/6 (.f64 y y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))
(.f64 1/6 (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 y (.f64 1/6 y))))
(.f64 1/6 (.f64 y y))
(exp.f64 (log.f64 (.f64 y (.f64 1/6 y))))
(.f64 1/6 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 y (.f64 1/6 y))))
(.f64 1/6 (.f64 y y))
(+.f64 (cos.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)))) 1)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1) (.f64 y (.f64 (*.f64 1/6 y) (cos.f64 x))))
(fma.f64 y (.f64 1/6 (.f64 y (cos.f64 x))) (expm1.f64 (log1p.f64 (cos.f64 x))))
(-.f64 (+.f64 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1) (.f64 y (.f64 (*.f64 1/6 y) (cos.f64 x))))
(fma.f64 y (.f64 1/6 (.f64 y (cos.f64 x))) (expm1.f64 (log1p.f64 (cos.f64 x))))
(/.f64 (cos.f64 x) (/.f64 1 (fma.f64 (*.f64 1/6 y) y 1)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 (-.f64 1 (.f64 y (*.f64 1/6 y))) (cos.f64 x)))
(.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (-.f64 1 (.f64 y (.f64 1/6 y)))) (cos.f64 x))
(.f64 (/.f64 (cos.f64 x) (-.f64 1 (.f64 1/6 (*.f64 y y)))) (fma.f64 (pow.f64 y 4) -1/36 1))
(/.f64 (cos.f64 x) (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (fma.f64 (pow.f64 y 4) -1/36 1)))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))) (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (cos.f64 x)))
(.f64 (/.f64 (cos.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/36) -1/6) 1)) (+.f64 1 (pow.f64 (.f64 1/6 (*.f64 y y)) 3)))
(.f64 (cos.f64 x) (/.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1)))
(/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (-.f64 1 (.f64 y (.f64 1/6 y))))
(.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (-.f64 1 (.f64 y (.f64 1/6 y)))) (cos.f64 x))
(.f64 (/.f64 (cos.f64 x) (-.f64 1 (.f64 1/6 (*.f64 y y)))) (fma.f64 (pow.f64 y 4) -1/36 1))
(/.f64 (cos.f64 x) (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (fma.f64 (pow.f64 y 4) -1/36 1)))
(/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6))))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (cos.f64 x)))
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(/.f64 (cos.f64 x) (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (fma.f64 (pow.f64 y 4) -1/36 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))) (cbrt.f64 (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (-.f64 1 (.f64 y (.f64 1/6 y)))) (cos.f64 x))
(.f64 (/.f64 (cos.f64 x) (-.f64 1 (.f64 1/6 (*.f64 y y)))) (fma.f64 (pow.f64 y 4) -1/36 1))
(/.f64 (cos.f64 x) (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (fma.f64 (pow.f64 y 4) -1/36 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) 1) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6))))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (cos.f64 x)))
(.f64 (/.f64 (cos.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/36) -1/6) 1)) (+.f64 1 (pow.f64 (.f64 1/6 (*.f64 y y)) 3)))
(.f64 (cos.f64 x) (/.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (cos.f64 x)))
(.f64 (/.f64 (cos.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/36) -1/6) 1)) (+.f64 1 (pow.f64 (.f64 1/6 (*.f64 y y)) 3)))
(.f64 (cos.f64 x) (/.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (cos.f64 x)))
(.f64 (/.f64 (cos.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/36) -1/6) 1)) (+.f64 1 (pow.f64 (.f64 1/6 (*.f64 y y)) 3)))
(.f64 (cos.f64 x) (/.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1)))
(pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 1)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 2)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 3)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3) 1/3)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 2))
(fabs.f64 (.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 1/6 y) y 1)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 1/6 y) y 1) 3) (pow.f64 (cos.f64 x) 3)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (cos.f64 x) 1 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1 (cos.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) y)
	0.0b	(sinh.f64 y)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) y))
✓	6.2b	(-.f64 (+.f64 1 (sinh.f64 y)) 1)

Compiler

Compiled 38 to 22 computations (42.1% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(*.f64 (cos.f64 x) (/.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) y))
1.0ms	x	@	inf	(*.f64 (cos.f64 x) (/.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) y))
1.0ms	y	@	inf	(*.f64 (cos.f64 x) (/.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) y))
1.0ms	y	@	-inf	(*.f64 (cos.f64 x) (/.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) y))
1.0ms	x	@	-inf	(*.f64 (cos.f64 x) (/.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) y))

rewrite89.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`associate-/r*`
1192×	`associate-/l*`
542×	`associate-/l/`
536×	`associate-/r/`
304×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	264	37
2	3777	37

Stop Event

1×	node limit

Counts

3 → 220

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1362×	`associate-/l*`
1256×	`associate-r`
928×	`associate-l`
838×	`associate-/r*`
826×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	617	10132
1	1722	9976

Stop Event

1×	node limit

Counts

268 → 375

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 1 (+.f64 (sinh.f64 y) -1))
(+.f64 1 (*.f64 (+.f64 (sinh.f64 y) -1) 1))
(+.f64 1 (+.f64 (*.f64 (+.f64 (sinh.f64 y) -1) 1) 0))
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(+.f64 (sinh.f64 y) 0)
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(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (cos.f64 x))) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (cos.f64 x))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (cos.f64 x))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cos.f64 x))) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cos.f64 x))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cos.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cos.f64 x))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cos.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) 1) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) -1) y)
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 (.f64 (sinh.f64 y) (cos.f64 x))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 1)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))
(+.f64 (/.f64 (+.f64 1 (sinh.f64 y)) y) (neg.f64 (/.f64 1 y)))
(+.f64 (neg.f64 (/.f64 1 y)) (/.f64 (+.f64 1 (sinh.f64 y)) y))
(-.f64 (/.f64 (+.f64 1 (sinh.f64 y)) y) (/.f64 1 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 y))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 -1 y) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(.f64 (/.f64 (.f64 (.f64 (+.f64 (sinh.f64 y) 2) (sinh.f64 y)) (/.f64 1 y)) (.f64 (+.f64 (sinh.f64 y) 2) (sinh.f64 y))) (sinh.f64 y))
(.f64 (/.f64 (.f64 (*.f64 (+.f64 (sinh.f64 y) 2) (sinh.f64 y)) (/.f64 1 y)) (-.f64 1 (pow.f64 (+.f64 1 (sinh.f64 y)) 2))) (neg.f64 (sinh.f64 y)))
(.f64 (/.f64 (.f64 (*.f64 (+.f64 (sinh.f64 y) 2) (sinh.f64 y)) (/.f64 1 y)) (+.f64 1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3))) (+.f64 (+.f64 1 (sinh.f64 y)) (pow.f64 (sinh.f64 y) 2)))
(.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3)) (/.f64 1 y)) (-.f64 (.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (pow.f64 (+.f64 1 (sinh.f64 y)) 2)) (.f64 (+.f64 (sinh.f64 y) 2) (+.f64 (sinh.f64 y) 2)))) (-.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (+.f64 (sinh.f64 y) 2)))
(.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3)) (/.f64 1 y)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) 3) (pow.f64 (+.f64 (sinh.f64 y) 2) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (pow.f64 (+.f64 1 (sinh.f64 y)) 2)) (.f64 (+.f64 (sinh.f64 y) 2) (+.f64 (sinh.f64 y) 2))) (*.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (+.f64 (sinh.f64 y) 2))))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))

Outputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 1/48 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 -1/1440 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/48 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (+.f64 (cos.f64 x) (.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x))) (.f64 (cos.f64 x) (*.f64 1/5040 (pow.f64 y 6))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (neg.f64 y)) (/.f64 (sqrt.f64 (neg.f64 y)) (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (.f64 (sinh.f64 y) (cos.f64 x))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (.f64 (sinh.f64 y) (neg.f64 (cos.f64 x))) (.f64 (cbrt.f64 (neg.f64 y)) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))))
(/.f64 (.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (.f64 (cbrt.f64 (neg.f64 y)) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (cos.f64 x))) (sqrt.f64 y))
(.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cos.f64 x))))
(/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 1)
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))) 3)
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 3) 1/3)
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (sinh.f64 y) y) (log.f64 (exp.f64 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) 3))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 (cos.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))) 1))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(+.f64 (/.f64 (+.f64 1 (sinh.f64 y)) y) (neg.f64 (/.f64 1 y)))
(+.f64 (/.f64 (+.f64 1 (sinh.f64 y)) y) (/.f64 -1 y))
(+.f64 (neg.f64 (/.f64 1 y)) (/.f64 (+.f64 1 (sinh.f64 y)) y))
(+.f64 (/.f64 (+.f64 1 (sinh.f64 y)) y) (/.f64 -1 y))
(-.f64 (/.f64 (+.f64 1 (sinh.f64 y)) y) (/.f64 1 y))
(+.f64 (/.f64 (+.f64 1 (sinh.f64 y)) y) (/.f64 -1 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(/.f64 (sinh.f64 y) y)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))
(/.f64 (sinh.f64 y) y)
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 -1 y) (neg.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (sqrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (cbrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 (.f64 (.f64 (+.f64 (sinh.f64 y) 2) (sinh.f64 y)) (/.f64 1 y)) (.f64 (+.f64 (sinh.f64 y) 2) (sinh.f64 y))) (sinh.f64 y))
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 (.f64 (*.f64 (+.f64 (sinh.f64 y) 2) (sinh.f64 y)) (/.f64 1 y)) (-.f64 1 (pow.f64 (+.f64 1 (sinh.f64 y)) 2))) (neg.f64 (sinh.f64 y)))
(.f64 (neg.f64 (sinh.f64 y)) (/.f64 (.f64 (+.f64 2 (sinh.f64 y)) (/.f64 (sinh.f64 y) y)) (-.f64 1 (pow.f64 (+.f64 1 (sinh.f64 y)) 2))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (.f64 (sinh.f64 y) (-.f64 -2 (sinh.f64 y)))) y) (-.f64 1 (pow.f64 (+.f64 1 (sinh.f64 y)) 2)))
(.f64 (/.f64 (.f64 (*.f64 (+.f64 (sinh.f64 y) 2) (sinh.f64 y)) (/.f64 1 y)) (+.f64 1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3))) (+.f64 (+.f64 1 (sinh.f64 y)) (pow.f64 (sinh.f64 y) 2)))
(.f64 (+.f64 (+.f64 1 (sinh.f64 y)) (pow.f64 (sinh.f64 y) 2)) (/.f64 (.f64 (+.f64 2 (sinh.f64 y)) (/.f64 (sinh.f64 y) y)) (+.f64 1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3))))
(.f64 (+.f64 1 (+.f64 (sinh.f64 y) (pow.f64 (sinh.f64 y) 2))) (/.f64 (.f64 (sinh.f64 y) (+.f64 2 (sinh.f64 y))) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3)) y)))
(.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3)) (/.f64 1 y)) (-.f64 (.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (pow.f64 (+.f64 1 (sinh.f64 y)) 2)) (.f64 (+.f64 (sinh.f64 y) 2) (+.f64 (sinh.f64 y) 2)))) (-.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (+.f64 (sinh.f64 y) 2)))
(.f64 (-.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (+.f64 2 (sinh.f64 y))) (/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3)) (/.f64 1 y)) (-.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 4) (*.f64 (+.f64 2 (sinh.f64 y)) (+.f64 2 (sinh.f64 y))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3)) y) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 4) (*.f64 (+.f64 2 (sinh.f64 y)) (-.f64 -2 (sinh.f64 y)))) (+.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (-.f64 -2 (sinh.f64 y)))))
(.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3)) (/.f64 1 y)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) 3) (pow.f64 (+.f64 (sinh.f64 y) 2) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (pow.f64 (+.f64 1 (sinh.f64 y)) 2)) (.f64 (+.f64 (sinh.f64 y) 2) (+.f64 (sinh.f64 y) 2))) (*.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (+.f64 (sinh.f64 y) 2))))
(.f64 (-.f64 (+.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 4) (.f64 (+.f64 2 (sinh.f64 y)) (+.f64 2 (sinh.f64 y)))) (*.f64 (+.f64 2 (sinh.f64 y)) (pow.f64 (+.f64 1 (sinh.f64 y)) 2))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3)) (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) 3) (pow.f64 (+.f64 2 (sinh.f64 y)) 3)) (/.f64 1 y))))
(.f64 (+.f64 (.f64 (+.f64 2 (sinh.f64 y)) (+.f64 2 (sinh.f64 y))) (-.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 4) (.f64 (+.f64 2 (sinh.f64 y)) (pow.f64 (+.f64 1 (sinh.f64 y)) 2)))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sinh.f64 y)) 3)) (.f64 (+.f64 (pow.f64 (+.f64 2 (sinh.f64 y)) 3) (pow.f64 (+.f64 1 (sinh.f64 y)) 6)) y)))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(/.f64 (sinh.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)

eval223.0ms (4.1%)

Compiler: Compiled 11133 to 6142 computations (44.8% saved)

prune146.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	542	5	547
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	544	7	551

Error

Counts

551 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.0b	(fma.f64 1/6 (*.f64 y y) 1)
▶	29.0b	(+.f64 (.f64 1/6 (.f64 y y)) 1)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	1.2b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	59.9b	(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
▶	61.2b	(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
▶	1.4b	(cos.f64 x)

Compiler

Compiled 107 to 79 computations (26.2% saved)

localize23.0ms (0.4%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(.f64 1/6 (.f64 y y))

Compiler

Compiled 20 to 11 computations (45% saved)

localize5.0ms (0.1%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 y y) (cos.f64 x))
✓	0.2b	(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
0.0ms	x	@	inf	(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
0.0ms	y	@	0	(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
0.0ms	y	@	inf	(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
0.0ms	x	@	0	(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`add-sqr-sqrt`
1830×	`*-un-lft-identity`
1696×	`add-cube-cbrt`
1674×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	200	40
2	2370	40

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 (.f64 y y) (cos.f64 x))

Outputs

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

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

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-*r/`
1192×	`associate-*l/`
668×	`unswap-sqr`
522×	`*-commutative`
512×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	1716
1	257	1712
2	1061	1666
3	3585	1640

Stop Event

1×	node limit

Counts

74 → 66

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/4320 (.f64 (pow.f64 y 2) (pow.f64 x 6))) (+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(pow.f64 y 2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (pow.f64 y 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (pow.f64 y 2) (.f64 -1/720 (.f64 (pow.f64 y 2) (pow.f64 x 6))))))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))))) 1)
(pow.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))) 1)
(pow.f64 (.f64 (.f64 y (sqrt.f64 (cos.f64 x))) (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 1/6) (.f64 (.f64 y y) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y y) (cos.f64 x)))) 1)
(pow.f64 (.f64 (.f64 y y) (cos.f64 x)) 1)
(pow.f64 (*.f64 y (sqrt.f64 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 y y) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 y y) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y y) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 y y) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 y y) (cos.f64 x))))
(exp.f64 (log.f64 (.f64 (.f64 y y) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y y) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 y y) (cos.f64 x))))

Outputs
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/6 (.f64 y y) (.f64 (.f64 -1/12 (.f64 y y)) (*.f64 x x)))
(fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (.f64 (*.f64 x x) -1/12)))
(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
(+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(fma.f64 1/144 (.f64 (.f64 y y) (pow.f64 x 4)) (fma.f64 1/6 (.f64 y y) (.f64 (.f64 -1/12 (.f64 y y)) (*.f64 x x))))
(fma.f64 1/144 (.f64 y (.f64 y (pow.f64 x 4))) (fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (.f64 (*.f64 x x) -1/12))))
(fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) (.f64 1/144 (pow.f64 x 4)))))
(.f64 (.f64 y y) (+.f64 1/6 (+.f64 (.f64 1/144 (pow.f64 x 4)) (.f64 -1/12 (*.f64 x x)))))
(+.f64 (.f64 -1/4320 (.f64 (pow.f64 y 2) (pow.f64 x 6))) (+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(fma.f64 -1/4320 (.f64 (.f64 y y) (pow.f64 x 6)) (fma.f64 1/144 (.f64 (.f64 y y) (pow.f64 x 4)) (fma.f64 1/6 (.f64 y y) (.f64 (.f64 -1/12 (.f64 y y)) (*.f64 x x)))))
(fma.f64 -1/4320 (.f64 y (.f64 y (pow.f64 x 6))) (fma.f64 1/144 (.f64 y (.f64 y (pow.f64 x 4))) (fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (.f64 (*.f64 x x) -1/12)))))
(+.f64 (.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x)))) (.f64 (.f64 y y) (+.f64 (.f64 1/144 (pow.f64 x 4)) (.f64 -1/4320 (pow.f64 x 6)))))
(.f64 (.f64 y y) (+.f64 (+.f64 1/6 (.f64 -1/12 (.f64 x x))) (+.f64 (.f64 -1/4320 (pow.f64 x 6)) (.f64 1/144 (pow.f64 x 4)))))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (pow.f64 y 2))
(fma.f64 -1/2 (.f64 (.f64 y y) (.f64 x x)) (.f64 y y))
(fma.f64 y y (.f64 (.f64 (.f64 y x) (.f64 y x)) -1/2))
(.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (.f64 y y))
(.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)) (.f64 y y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (pow.f64 y 2)))
(fma.f64 -1/2 (.f64 (.f64 y y) (.f64 x x)) (fma.f64 1/24 (.f64 (.f64 y y) (pow.f64 x 4)) (.f64 y y)))
(fma.f64 (.f64 (.f64 y x) (.f64 y x)) -1/2 (fma.f64 (.f64 y (.f64 y (pow.f64 x 4))) 1/24 (.f64 y y)))
(fma.f64 y y (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x x) -1/2) (*.f64 (pow.f64 x 4) 1/24))))
(.f64 (.f64 y y) (+.f64 (.f64 (.f64 x x) -1/2) (+.f64 1 (*.f64 (pow.f64 x 4) 1/24))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (pow.f64 y 2) (.f64 -1/720 (.f64 (pow.f64 y 2) (pow.f64 x 6))))))
(fma.f64 -1/2 (.f64 (.f64 y y) (.f64 x x)) (+.f64 (fma.f64 1/24 (.f64 (.f64 y y) (pow.f64 x 4)) (.f64 y y)) (.f64 (.f64 (*.f64 y y) (pow.f64 x 6)) -1/720)))
(fma.f64 (.f64 (.f64 y x) (.f64 y x)) -1/2 (fma.f64 (.f64 y (.f64 y (pow.f64 x 4))) 1/24 (fma.f64 y y (.f64 (.f64 y y) (.f64 (pow.f64 x 6) -1/720)))))
(fma.f64 (.f64 y y) (.f64 (.f64 x x) -1/2) (fma.f64 y y (.f64 (.f64 y y) (+.f64 (.f64 (pow.f64 x 6) -1/720) (*.f64 (pow.f64 x 4) 1/24)))))
(+.f64 (.f64 y y) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x x) -1/2) (+.f64 (.f64 (pow.f64 x 6) -1/720) (*.f64 (pow.f64 x 4) 1/24)))))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (cos.f64 x) (.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))))) 1)
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(pow.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))) 1)
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(pow.f64 (.f64 (.f64 y (sqrt.f64 (cos.f64 x))) (sqrt.f64 1/6)) 2)
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))) 3)
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(pow.f64 (pow.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))) 3) 1/3)
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(sqrt.f64 (pow.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))) 2))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(log.f64 (pow.f64 (exp.f64 1/6) (.f64 (.f64 y y) (cos.f64 x))))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))))))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x))) 3))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(exp.f64 (log.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)))) 1))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 (*.f64 (cos.f64 x) y) 1/6))
(.f64 (cos.f64 x) (.f64 y (*.f64 1/6 y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y y) (cos.f64 x)))) 1)
(.f64 (cos.f64 x) (.f64 y y))
(pow.f64 (.f64 (.f64 y y) (cos.f64 x)) 1)
(.f64 (cos.f64 x) (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 (cos.f64 x))) 2)
(.f64 (cos.f64 x) (.f64 y y))
(pow.f64 (cbrt.f64 (.f64 (.f64 y y) (cos.f64 x))) 3)
(.f64 (cos.f64 x) (.f64 y y))
(pow.f64 (pow.f64 (.f64 (.f64 y y) (cos.f64 x)) 3) 1/3)
(.f64 (cos.f64 x) (.f64 y y))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 y 4)))
(.f64 (cos.f64 x) (.f64 y y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (*.f64 y y)))
(.f64 (cos.f64 x) (.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y y) (cos.f64 x)))))
(.f64 (cos.f64 x) (.f64 y y))
(cbrt.f64 (pow.f64 (.f64 (.f64 y y) (cos.f64 x)) 3))
(.f64 (cos.f64 x) (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 (.f64 y y) (cos.f64 x))))
(.f64 (cos.f64 x) (.f64 y y))
(exp.f64 (log.f64 (.f64 (.f64 y y) (cos.f64 x))))
(.f64 (cos.f64 x) (.f64 y y))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y y) (cos.f64 x))) 1))
(.f64 (cos.f64 x) (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 (.f64 y y) (cos.f64 x))))
(.f64 (cos.f64 x) (.f64 y y))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
✓	6.3b	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))

Compiler

Compiled 35 to 10 computations (71.4% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite105.0ms (1.9%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

210×	`add-sqr-sqrt`
210×	`add-sqr-sqrt`
202×	`pow1`
202×	`*-un-lft-identity`
202×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	198	22
2	3451	22
0	8	11
1	170	11
2	2644	11
0	8	11
0	9	17
1	198	17
2	3451	17
0	9	17

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 24

Calls

Call 1

Inputs
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)

Outputs

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

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

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1290×	`distribute-lft-in`
1284×	`distribute-rgt-in`
968×	`unswap-sqr`
544×	`associate-+r-`
518×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	856
1	257	820
2	1025	816
3	3500	816

Stop Event

1×	node limit

Counts

40 → 64

Calls

Call 1

Inputs
(*.f64 2 y)
(+.f64 (.f64 1/3 (pow.f64 y 3)) (.f64 2 y))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 1/60 (pow.f64 y 5)) (*.f64 2 y)))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 1/60 (pow.f64 y 5)) (+.f64 (.f64 2 y) (.f64 1/2520 (pow.f64 y 7)))))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
2
(+.f64 2 (*.f64 1/3 (pow.f64 y 2)))
(+.f64 (.f64 1/60 (pow.f64 y 4)) (+.f64 2 (.f64 1/3 (pow.f64 y 2))))
(+.f64 (.f64 1/2520 (pow.f64 y 6)) (+.f64 (.f64 1/60 (pow.f64 y 4)) (+.f64 2 (*.f64 1/3 (pow.f64 y 2)))))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y))) y)
(+.f64 (exp.f64 y) (neg.f64 (exp.f64 (neg.f64 y))))
(.f64 1 (.f64 2 (sinh.f64 y)))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (sqrt.f64 (*.f64 2 (sinh.f64 y))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) (cbrt.f64 (.f64 2 (sinh.f64 y)))) (cbrt.f64 (*.f64 2 (sinh.f64 y))))
(*.f64 2 (sinh.f64 y))
(/.f64 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (.f64 (exp.f64 (neg.f64 y)) (exp.f64 (neg.f64 y)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (+.f64 (.f64 (exp.f64 (neg.f64 y)) (exp.f64 (neg.f64 y))) (*.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(pow.f64 (*.f64 2 (sinh.f64 y)) 1)
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 y))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 y)) (.f64 2 (sinh.f64 y))) (*.f64 2 (sinh.f64 y))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 y))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 y))))
(-.f64 (/.f64 (exp.f64 y) y) (/.f64 (exp.f64 (neg.f64 y)) y))
(.f64 (.f64 2 (sinh.f64 y)) (/.f64 1 y))
(.f64 1 (/.f64 (.f64 2 (sinh.f64 y)) y))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 y)) y)) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 y)) y))) (cbrt.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(pow.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 y)) y) (/.f64 (.f64 2 (sinh.f64 y)) y)) (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))

Outputs
(*.f64 2 y)
(+.f64 y y)
(+.f64 (.f64 1/3 (pow.f64 y 3)) (.f64 2 y))
(fma.f64 1/3 (pow.f64 y 3) (*.f64 2 y))
(fma.f64 2 y (*.f64 1/3 (pow.f64 y 3)))
(.f64 y (fma.f64 1/3 (.f64 y y) 2))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 1/60 (pow.f64 y 5)) (*.f64 2 y)))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/60 (pow.f64 y 5) (*.f64 2 y)))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 2 y (*.f64 1/60 (pow.f64 y 5))))
(fma.f64 2 y (fma.f64 1/3 (pow.f64 y 3) (*.f64 1/60 (pow.f64 y 5))))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 1/60 (pow.f64 y 5)) (+.f64 (.f64 2 y) (.f64 1/2520 (pow.f64 y 7)))))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/60 (pow.f64 y 5) (fma.f64 2 y (*.f64 1/2520 (pow.f64 y 7)))))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 2 y (fma.f64 1/60 (pow.f64 y 5) (*.f64 1/2520 (pow.f64 y 7)))))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
2
(+.f64 2 (*.f64 1/3 (pow.f64 y 2)))
(+.f64 2 (.f64 1/3 (.f64 y y)))
(fma.f64 1/3 (*.f64 y y) 2)
(fma.f64 y (*.f64 y 1/3) 2)
(+.f64 (.f64 1/60 (pow.f64 y 4)) (+.f64 2 (.f64 1/3 (pow.f64 y 2))))
(fma.f64 1/60 (pow.f64 y 4) (+.f64 2 (.f64 1/3 (.f64 y y))))
(fma.f64 1/60 (pow.f64 y 4) (fma.f64 1/3 (*.f64 y y) 2))
(fma.f64 1/60 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/3) 2))
(+.f64 (.f64 1/2520 (pow.f64 y 6)) (+.f64 (.f64 1/60 (pow.f64 y 4)) (+.f64 2 (*.f64 1/3 (pow.f64 y 2)))))
(fma.f64 1/2520 (pow.f64 y 6) (fma.f64 1/60 (pow.f64 y 4) (+.f64 2 (.f64 1/3 (.f64 y y)))))
(fma.f64 1/2520 (pow.f64 y 6) (fma.f64 1/60 (pow.f64 y 4) (fma.f64 1/3 (*.f64 y y) 2)))
(fma.f64 1/2520 (pow.f64 y 6) (fma.f64 1/60 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/3) 2)))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(+.f64 (exp.f64 y) (neg.f64 (exp.f64 (neg.f64 y))))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(.f64 1 (.f64 2 (sinh.f64 y)))
(*.f64 2 (sinh.f64 y))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (sqrt.f64 (*.f64 2 (sinh.f64 y))))
(*.f64 2 (sinh.f64 y))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) (cbrt.f64 (.f64 2 (sinh.f64 y)))) (cbrt.f64 (*.f64 2 (sinh.f64 y))))
(*.f64 2 (sinh.f64 y))
(*.f64 2 (sinh.f64 y))
(/.f64 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (.f64 (exp.f64 (neg.f64 y)) (exp.f64 (neg.f64 y)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (+.f64 (neg.f64 y) (neg.f64 y)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y -2))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 2) y) (pow.f64 (exp.f64 y) -2)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (+.f64 (.f64 (exp.f64 (neg.f64 y)) (exp.f64 (neg.f64 y))) (*.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (exp.f64 (*.f64 y -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) y) (pow.f64 (exp.f64 y) -2))))
(pow.f64 (*.f64 2 (sinh.f64 y)) 1)
(*.f64 2 (sinh.f64 y))
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 y))))
(*.f64 2 (sinh.f64 y))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 y)) (.f64 2 (sinh.f64 y))) (*.f64 2 (sinh.f64 y))))
(*.f64 2 (sinh.f64 y))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 y))))
(*.f64 2 (sinh.f64 y))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 y))))
(*.f64 2 (sinh.f64 y))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 y))))
(*.f64 2 (sinh.f64 y))
(-.f64 (/.f64 (exp.f64 y) y) (/.f64 (exp.f64 (neg.f64 y)) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(.f64 (.f64 2 (sinh.f64 y)) (/.f64 1 y))
(/.f64 2 (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(.f64 1 (/.f64 (.f64 2 (sinh.f64 y)) y))
(/.f64 2 (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(/.f64 2 (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 y)) y)) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 y)) y))) (cbrt.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(/.f64 2 (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(pow.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y) 1)
(/.f64 2 (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(log.f64 (exp.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(/.f64 2 (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 y)) y) (/.f64 (.f64 2 (sinh.f64 y)) y)) (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(/.f64 2 (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(/.f64 2 (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(/.f64 2 (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (sinh.f64 y)) y)))
(/.f64 2 (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))

eval74.0ms (1.3%)

Compiler: Compiled 2226 to 1376 computations (38.2% saved)

prune28.0ms (0.5%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	148	6	154
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	148	13	161

Error

Counts

161 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.0b	(fma.f64 1/6 (*.f64 y y) 1)
✓	29.0b	(+.f64 (.f64 1/6 (.f64 y y)) 1)
▶	62.0b	(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	1.2b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	61.5b	(.f64 y (.f64 1/6 y))
✓	59.9b	(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
▶	28.2b	(.f64 1/2 (/.f64 (.f64 2 (sinh.f64 y)) y))
▶	29.2b	(*.f64 1/2 2)
	62.0b	(.f64 1/6 (.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (*.f64 y y)))
✓	61.2b	(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
▶	61.5b	(.f64 1/6 (.f64 y y))
✓	1.4b	(cos.f64 x)

Compiler

Compiled 178 to 133 computations (25.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 y)) y)
	0.0b	(sinh.f64 y)

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 (*.f64 2 (sinh.f64 y)) y)
0.0ms	y	@	-inf	(/.f64 (*.f64 2 (sinh.f64 y)) y)
0.0ms	y	@	0	(/.f64 (*.f64 2 (sinh.f64 y)) y)

rewrite83.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`add-sqr-sqrt`
1756×	`*-un-lft-identity`
1640×	`add-cube-cbrt`
1620×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2199	17

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 2 (sinh.f64 y)) y)

Outputs

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

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-+r+`
1568×	`associate-+l+`
1216×	`associate-*r/`
838×	`associate-*l/`
596×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	125	1164
1	309	1128
2	1132	1128
3	5657	1128

Stop Event

1×	node limit

Counts

54 → 60

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 1/3 (pow.f64 y 2)))
(+.f64 (.f64 1/60 (pow.f64 y 4)) (+.f64 2 (.f64 1/3 (pow.f64 y 2))))
(+.f64 (.f64 1/2520 (pow.f64 y 6)) (+.f64 (.f64 1/60 (pow.f64 y 4)) (+.f64 2 (*.f64 1/3 (pow.f64 y 2)))))
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)))) 1)
(.f64 2 (.f64 (sinh.f64 y) (pow.f64 y -1)))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 2 (/.f64 1 (/.f64 y (sinh.f64 y))))
(.f64 (sinh.f64 y) (.f64 2 (pow.f64 y -1)))
(.f64 (.f64 2 (sinh.f64 y)) (pow.f64 y -1))
(.f64 (.f64 2 (/.f64 (sinh.f64 y) y)) 1)
(.f64 1 (.f64 2 (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (.f64 2 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (pow.f64 y -1)))
(.f64 (cbrt.f64 (.f64 2 (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) 2) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) (pow.f64 y -1)))
(.f64 (pow.f64 y -1) (.f64 2 (sinh.f64 y)))
(.f64 (.f64 (sinh.f64 y) -2) (/.f64 1 (neg.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 2 (sinh.f64 y)) (sqrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (*.f64 2 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 2 (sqrt.f64 y)))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 (/.f64 2 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(.f64 (/.f64 2 (cbrt.f64 (.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) 1) (/.f64 2 y))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y))) (/.f64 2 (cbrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) y))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) 2) (cbrt.f64 (.f64 y y))) (cbrt.f64 (.f64 2 (/.f64 (sinh.f64 y) y))))
(pow.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) 3) 1/3)
(pow.f64 (*.f64 1/2 (/.f64 y (sinh.f64 y))) -1)
(neg.f64 (/.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) 2))
(log.f64 (exp.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 (sinh.f64 y) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))

Outputs
2
(+.f64 2 (*.f64 1/3 (pow.f64 y 2)))
(+.f64 2 (.f64 1/3 (.f64 y y)))
(fma.f64 1/3 (*.f64 y y) 2)
(+.f64 (.f64 1/60 (pow.f64 y 4)) (+.f64 2 (.f64 1/3 (pow.f64 y 2))))
(fma.f64 1/60 (pow.f64 y 4) (+.f64 2 (.f64 1/3 (.f64 y y))))
(fma.f64 1/60 (pow.f64 y 4) (fma.f64 1/3 (*.f64 y y) 2))
(fma.f64 y (*.f64 1/3 y) (fma.f64 1/60 (pow.f64 y 4) 2))
(+.f64 (.f64 1/2520 (pow.f64 y 6)) (+.f64 (.f64 1/60 (pow.f64 y 4)) (+.f64 2 (*.f64 1/3 (pow.f64 y 2)))))
(fma.f64 1/2520 (pow.f64 y 6) (fma.f64 1/60 (pow.f64 y 4) (+.f64 2 (.f64 1/3 (.f64 y y)))))
(fma.f64 1/2520 (pow.f64 y 6) (fma.f64 1/60 (pow.f64 y 4) (fma.f64 1/3 (*.f64 y y) 2)))
(fma.f64 1/2520 (pow.f64 y 6) (fma.f64 y (*.f64 1/3 y) (fma.f64 1/60 (pow.f64 y 4) 2)))
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)))) 1)
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 2 (.f64 (sinh.f64 y) (pow.f64 y -1)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 1 (/.f64 y (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (sinh.f64 y) (.f64 2 (pow.f64 y -1)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (.f64 2 (sinh.f64 y)) (pow.f64 y -1))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (.f64 2 (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 1 (.f64 2 (/.f64 (sinh.f64 y) y)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (sqrt.f64 (.f64 2 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (pow.f64 y -1)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (cbrt.f64 (.f64 2 (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))) 2))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) 2) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) (pow.f64 y -1)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (pow.f64 y -1) (.f64 2 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (sinh.f64 y) -2) (/.f64 1 (neg.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 2 (sinh.f64 y)) (sqrt.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (*.f64 2 (sinh.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y))) (/.f64 2 (cbrt.f64 y)))
(.f64 (/.f64 2 (cbrt.f64 (.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 2 (sqrt.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 2 y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 2 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 2 (cbrt.f64 (.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (*.f64 2 (sinh.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y))) (/.f64 2 (cbrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) 1) (/.f64 2 y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y))) (/.f64 2 (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (*.f64 2 (sinh.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 2 (cbrt.f64 (.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (*.f64 2 (sinh.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y))) (/.f64 2 (cbrt.f64 y)))
(.f64 (/.f64 2 (cbrt.f64 (.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) y))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) 2) (cbrt.f64 (.f64 y y))) (cbrt.f64 (.f64 2 (/.f64 (sinh.f64 y) y))))
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 2 y))) (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) 2) (cbrt.f64 (.f64 y y))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 (sinh.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) 2) (cbrt.f64 (.f64 y y))))
(/.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 2 y))) (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) 2)))
(pow.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))) 2)
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))) 3)
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) 3) 1/3)
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(pow.f64 (*.f64 1/2 (/.f64 y (sinh.f64 y))) -1)
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(neg.f64 (/.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(log.f64 (exp.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)))))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) 3))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(exp.f64 (log.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 (sinh.f64 y) y))) 1))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 (sinh.f64 y) y))))
(*.f64 (sinh.f64 y) (/.f64 2 y))
(*.f64 2 (/.f64 (sinh.f64 y) y))

localize3.0ms (0.1%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(.f64 1/6 (.f64 y y))

Compiler

Compiled 12 to 6 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (.f64 1/6 y))
✓	0.3b	(*.f64 1/6 y)

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(*.f64 1/6 y)
0.0ms	y	@	0	(*.f64 1/6 y)
0.0ms	y	@	inf	(*.f64 1/6 y)
0.0ms	y	@	-inf	(.f64 y (.f64 1/6 y))
0.0ms	y	@	0	(.f64 y (.f64 1/6 y))

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`add-sqr-sqrt`
1086×	`*-un-lft-identity`
1030×	`pow1`
1012×	`add-cube-cbrt`
998×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	120	20
2	1372	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 1/6 y)
(.f64 y (.f64 1/6 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 y)))))))

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1460×	`log-prod`
1412×	`associate-r`
1266×	`associate-l`
1058×	`associate-+l+`
976×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	508
1	138	442
2	536	376
3	4034	376

Stop Event

1×	node limit

Counts

34 → 27

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(-.f64 (+.f64 1 (*.f64 1/6 y)) 1)
(pow.f64 (*.f64 1/6 y) 1)
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3)
(pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3)
(sqrt.f64 (.f64 1/36 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 1/6) y))
(cbrt.f64 (pow.f64 (*.f64 1/6 y) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 y)))
(exp.f64 (log.f64 (*.f64 1/6 y)))
(log1p.f64 (expm1.f64 (*.f64 1/6 y)))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
(pow.f64 (.f64 1/6 (.f64 y y)) 1)
(pow.f64 (sqrt.f64 (.f64 1/6 (.f64 y y))) 2)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) 3)
(pow.f64 (pow.f64 (.f64 1/6 (.f64 y y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 1/6 (.f64 y y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) y) y))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 y y)) 3))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 y y))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 y y))))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 y y))))

Outputs
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(-.f64 (+.f64 1 (*.f64 1/6 y)) 1)
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (*.f64 1/6 y) 1)
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2)
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3)
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(sqrt.f64 (.f64 1/36 (.f64 y y)))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(log.f64 (pow.f64 (exp.f64 1/6) y))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(cbrt.f64 (pow.f64 (*.f64 1/6 y) 3))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(expm1.f64 (log1p.f64 (*.f64 1/6 y)))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(exp.f64 (log.f64 (*.f64 1/6 y)))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(log1p.f64 (expm1.f64 (*.f64 1/6 y)))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
(.f64 1/6 (.f64 y y))
(pow.f64 (.f64 1/6 (.f64 y y)) 1)
(.f64 1/6 (.f64 y y))
(pow.f64 (sqrt.f64 (.f64 1/6 (.f64 y y))) 2)
(.f64 1/6 (.f64 y y))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) 3)
(.f64 1/6 (.f64 y y))
(pow.f64 (pow.f64 (.f64 1/6 (.f64 y y)) 3) 1/3)
(.f64 1/6 (.f64 y y))
(sqrt.f64 (pow.f64 (.f64 1/6 (.f64 y y)) 2))
(.f64 1/6 (.f64 y y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) y) y))
(.f64 1/6 (.f64 y y))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 y y)) 3))
(.f64 1/6 (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 y y))))
(.f64 1/6 (.f64 y y))
(exp.f64 (log.f64 (.f64 1/6 (.f64 y y))))
(.f64 1/6 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 y y))))
(.f64 1/6 (.f64 y y))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/6 (.f64 -1/12 (.f64 x x)))
✓	0.6b	(.f64 -1/12 (.f64 x x))
✓	15.1b	(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))

Compiler

Compiled 35 to 17 computations (51.4% saved)

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 1/6 (.f64 -1/12 (.f64 x x)))
1.0ms	y	@	0	(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
0.0ms	x	@	inf	(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
0.0ms	x	@	0	(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
0.0ms	y	@	inf	(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))

rewrite82.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`*-commutative`
884×	`unswap-sqr`
668×	`swap-sqr`
632×	`associate-*r/`
520×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	240	55
2	3110	55

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

Inputs
(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
(.f64 -1/12 (.f64 x x))
(+.f64 1/6 (.f64 -1/12 (.f64 x x)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 -1/12 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 -1/12 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/12 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/1728) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/12) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/1728))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 -1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/12 x))))))))

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simplify109.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1728×	`associate-*r/`
1240×	`associate-/r/`
700×	`associate-r`
670×	`associate-/l*`
658×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	8636
1	1137	7734
2	5423	7538

Stop Event

1×	node limit

Counts

190 → 223

Calls

Call 1

Inputs
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(*.f64 -1/12 (pow.f64 x 2))
(*.f64 -1/12 (pow.f64 x 2))
(*.f64 -1/12 (pow.f64 x 2))
(*.f64 -1/12 (pow.f64 x 2))
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(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/12 (.f64 x x) 1/6)) (sqrt.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (*.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/12 (.f64 x x) 1/6)) (sqrt.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144)))) (sqrt.f64 (-.f64 1/6 (.f64 x (*.f64 -1/12 x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/12 (.f64 x x) 1/6)) 2) (cbrt.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (*.f64 x x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/12 (.f64 x x) 1/6)) 2) (cbrt.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144)))) (cbrt.f64 (-.f64 1/6 (.f64 x (*.f64 -1/12 x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/144) 1/36) 1) (-.f64 (.f64 x (.f64 -1/12 x)) 1/6))
(/.f64 (.f64 (+.f64 -1/36 (neg.f64 (.f64 (pow.f64 x 4) -1/144))) 1) (neg.f64 (-.f64 1/6 (.f64 x (.f64 -1/12 x)))))
(/.f64 (.f64 (+.f64 -1/216 (neg.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/1728))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728))) (sqrt.f64 (fma.f64 -1/12 (.f64 x x) 1/6))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (*.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144))) (sqrt.f64 (fma.f64 -1/12 (.f64 x x) 1/6))) (sqrt.f64 (-.f64 1/6 (.f64 x (*.f64 -1/12 x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728))) (pow.f64 (cbrt.f64 (fma.f64 -1/12 (.f64 x x) 1/6)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (*.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144))) (pow.f64 (cbrt.f64 (fma.f64 -1/12 (.f64 x x) 1/6)) 2)) (cbrt.f64 (-.f64 1/6 (.f64 x (*.f64 -1/12 x)))))
(/.f64 (.f64 (-.f64 1/1296 (.f64 1/20736 (.f64 (pow.f64 x 4) (pow.f64 x 4)))) (/.f64 1 (-.f64 1/6 (.f64 x (.f64 -1/12 x))))) (+.f64 1/36 (.f64 (pow.f64 x 4) 1/144)))
(/.f64 (.f64 (-.f64 1/46656 (pow.f64 (.f64 (pow.f64 x 4) 1/144) 3)) (/.f64 1 (-.f64 1/6 (.f64 x (.f64 -1/12 x))))) (+.f64 1/1296 (.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (*.f64 (pow.f64 x 4) 1/144)))))
(/.f64 (.f64 (-.f64 1/46656 (.f64 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4))) 1/2985984)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (.f64 x x)))))) (+.f64 1/216 (.f64 1/1728 (pow.f64 (*.f64 x x) 3))))
(/.f64 (.f64 (+.f64 1/10077696 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/1728) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (.f64 x x)))))) (+.f64 1/46656 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/1728) (-.f64 (.f64 (pow.f64 (*.f64 x x) 3) -1/1728) 1/216))))
(/.f64 (/.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144)) 1) (-.f64 1/6 (.f64 x (*.f64 -1/12 x))))
(/.f64 (/.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144)) (sqrt.f64 (-.f64 1/6 (.f64 x (.f64 -1/12 x))))) (sqrt.f64 (-.f64 1/6 (.f64 x (*.f64 -1/12 x)))))
(/.f64 (/.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144)) (.f64 (cbrt.f64 (-.f64 1/6 (.f64 x (.f64 -1/12 x)))) (cbrt.f64 (-.f64 1/6 (.f64 x (.f64 -1/12 x)))))) (cbrt.f64 (-.f64 1/6 (.f64 x (.f64 -1/12 x)))))
(/.f64 (/.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728)) 1) (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (.f64 x x)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (.f64 x x))))))
(/.f64 (/.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (.f64 x x))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (.f64 x x))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (.f64 x x))))))
(pow.f64 (fma.f64 -1/12 (*.f64 x x) 1/6) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/12 (*.f64 x x) 1/6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/12 (*.f64 x x) 1/6)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/12 (*.f64 x x) 1/6) 3) 1/3)
(neg.f64 (/.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144)) (neg.f64 (-.f64 1/6 (.f64 x (*.f64 -1/12 x))))))
(neg.f64 (/.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728)) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (*.f64 x x)))))))
(sqrt.f64 (pow.f64 (fma.f64 -1/12 (*.f64 x x) 1/6) 2))
(log.f64 (exp.f64 (fma.f64 -1/12 (*.f64 x x) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/12 (*.f64 x x) 1/6))))
(cbrt.f64 (pow.f64 (fma.f64 -1/12 (*.f64 x x) 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/12 (*.f64 x x) 1/6)))
(exp.f64 (log.f64 (fma.f64 -1/12 (*.f64 x x) 1/6)))
(log1p.f64 (expm1.f64 (fma.f64 -1/12 (*.f64 x x) 1/6)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(fma.f64 (*.f64 x x) -1/12 1/6)
(fma.f64 1 (.f64 x (.f64 -1/12 x)) 1/6)
(fma.f64 (.f64 x (sqrt.f64 -1/12)) (.f64 x (sqrt.f64 -1/12)) 1/6)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/144)) (cbrt.f64 (.f64 x (*.f64 -1/12 x))) 1/6)
(fma.f64 (*.f64 -1/12 x) x 1/6)

Outputs
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(.f64 -1/12 (.f64 x (.f64 y (.f64 y x))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(.f64 -1/12 (.f64 x (.f64 y (.f64 y x))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
1/6
(+.f64 1/6 (*.f64 -1/12 (pow.f64 x 2)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -1/12 (pow.f64 x 2)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -1/12 (pow.f64 x 2)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(+.f64 1/6 (*.f64 -1/12 (pow.f64 x 2)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -1/12 (pow.f64 x 2)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -1/12 (pow.f64 x 2)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(*.f64 -1/12 (pow.f64 x 2))
(.f64 -1/12 (.f64 x x))
(+.f64 1/6 (*.f64 -1/12 (pow.f64 x 2)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -1/12 (pow.f64 x 2)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -1/12 (pow.f64 x 2)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(+.f64 (.f64 y (.f64 y 1/6)) (.f64 (.f64 y y) (.f64 x (.f64 -1/12 x))))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(+.f64 (.f64 (.f64 y y) (.f64 x (.f64 -1/12 x))) (.f64 y (.f64 y 1/6)))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 y (fma.f64 -1/12 (*.f64 x x) 1/6))))) 1)
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(/.f64 (.f64 y y) (/.f64 1 (fma.f64 -1/12 (.f64 x x) 1/6)))
(.f64 (.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(/.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144)) (/.f64 (-.f64 1/6 (.f64 x (.f64 -1/12 x))) (.f64 y y)))
(.f64 (/.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144)) (-.f64 1/6 (.f64 x (.f64 -1/12 x)))) (*.f64 y y))
(.f64 (.f64 y y) (/.f64 (fma.f64 (pow.f64 x 4) -1/144 1/36) (-.f64 1/6 (.f64 -1/12 (.f64 x x)))))
(/.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728)) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (.f64 x x)))) (.f64 y y)))
(.f64 (/.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728)) (fma.f64 (pow.f64 x 4) 1/144 (+.f64 1/36 (.f64 (.f64 x x) 1/72)))) (.f64 y y))
(.f64 (/.f64 y (fma.f64 (pow.f64 x 4) 1/144 (fma.f64 (.f64 x x) 1/72 1/36))) (*.f64 y (fma.f64 (pow.f64 x 6) -1/1728 1/216)))
(/.f64 (.f64 (.f64 y y) (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144))) (-.f64 1/6 (.f64 x (*.f64 -1/12 x))))
(.f64 (/.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144)) (-.f64 1/6 (.f64 x (.f64 -1/12 x)))) (*.f64 y y))
(.f64 (.f64 y y) (/.f64 (fma.f64 (pow.f64 x 4) -1/144 1/36) (-.f64 1/6 (.f64 -1/12 (.f64 x x)))))
(/.f64 (.f64 (.f64 y y) (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728))) (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728)) (fma.f64 (pow.f64 x 4) 1/144 (+.f64 1/36 (.f64 (.f64 x x) 1/72)))) (.f64 y y))
(.f64 (/.f64 y (fma.f64 (pow.f64 x 4) 1/144 (fma.f64 (.f64 x x) 1/72 1/36))) (*.f64 y (fma.f64 (pow.f64 x 6) -1/1728 1/216)))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) (.f64 (.f64 (pow.f64 x 4) 1/144) (pow.f64 y 4))) (.f64 (.f64 y y) (-.f64 1/6 (.f64 x (*.f64 -1/12 x)))))
(/.f64 (.f64 (pow.f64 y 4) (-.f64 1/36 (.f64 (pow.f64 x 4) 1/144))) (.f64 (.f64 y y) (-.f64 1/6 (.f64 x (.f64 -1/12 x)))))
(.f64 (/.f64 (pow.f64 y 4) (-.f64 1/6 (.f64 -1/12 (.f64 x x)))) (/.f64 (fma.f64 (pow.f64 x 4) -1/144 1/36) (.f64 y y)))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 3) (pow.f64 (.f64 (.f64 y y) (.f64 x (.f64 -1/12 x))) 3)) (+.f64 (.f64 1/36 (pow.f64 y 4)) (.f64 (.f64 (.f64 y y) (.f64 x (.f64 -1/12 x))) (-.f64 (.f64 (.f64 y y) (.f64 x (.f64 -1/12 x))) (.f64 y (.f64 y 1/6))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 y y)) 3) (pow.f64 (.f64 y (.f64 y (.f64 x (.f64 -1/12 x)))) 3)) (fma.f64 1/36 (pow.f64 y 4) (.f64 (.f64 y y) (.f64 (.f64 x (.f64 -1/12 x)) (fma.f64 (.f64 y y) (.f64 x (.f64 -1/12 x)) (neg.f64 (.f64 1/6 (.f64 y y))))))))
(/.f64 (fma.f64 (pow.f64 y 6) (pow.f64 (.f64 -1/12 (.f64 x x)) 3) (.f64 1/216 (pow.f64 y 6))) (fma.f64 (.f64 -1/12 (.f64 x (.f64 y (.f64 y x)))) (.f64 (.f64 y y) (fma.f64 x (.f64 -1/12 x) -1/6)) (*.f64 1/36 (pow.f64 y 4))))
(/.f64 (.f64 y (.f64 y (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144)))) (-.f64 1/6 (.f64 x (*.f64 -1/12 x))))
(.f64 (/.f64 (+.f64 1/36 (.f64 (pow.f64 x 4) -1/144)) (-.f64 1/6 (.f64 x (.f64 -1/12 x)))) (*.f64 y y))
(.f64 (.f64 y y) (/.f64 (fma.f64 (pow.f64 x 4) -1/144 1/36) (-.f64 1/6 (.f64 -1/12 (.f64 x x)))))
(/.f64 (.f64 y (.f64 y (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728)))) (+.f64 (.f64 (pow.f64 x 4) 1/144) (+.f64 1/36 (.f64 1/72 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 1/216 (.f64 (pow.f64 (.f64 x x) 3) -1/1728)) (fma.f64 (pow.f64 x 4) 1/144 (+.f64 1/36 (.f64 (.f64 x x) 1/72)))) (.f64 y y))
(.f64 (/.f64 y (fma.f64 (pow.f64 x 4) 1/144 (fma.f64 (.f64 x x) 1/72 1/36))) (*.f64 y (fma.f64 (pow.f64 x 6) -1/1728 1/216)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 (pow.f64 x 4) 1/144) 1/36)) (-.f64 (.f64 x (*.f64 -1/12 x)) 1/6))
(/.f64 (.f64 y y) (/.f64 (fma.f64 x (.f64 -1/12 x) -1/6) (fma.f64 (pow.f64 x 4) 1/144 -1/36)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/144 -1/36) (fma.f64 x (.f64 -1/12 x) -1/6)) (*.f64 y y))
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(expm1.f64 (log1p.f64 (fma.f64 -1/12 (*.f64 x x) 1/6)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(exp.f64 (log.f64 (fma.f64 -1/12 (*.f64 x x) 1/6)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(log1p.f64 (expm1.f64 (fma.f64 -1/12 (*.f64 x x) 1/6)))
(fma.f64 -1/12 (*.f64 x x) 1/6)
(fma.f64 -1/12 (*.f64 x x) 1/6)
(fma.f64 (*.f64 x x) -1/12 1/6)
(fma.f64 -1/12 (*.f64 x x) 1/6)
(fma.f64 1 (.f64 x (.f64 -1/12 x)) 1/6)
(fma.f64 -1/12 (*.f64 x x) 1/6)
(fma.f64 (.f64 x (sqrt.f64 -1/12)) (.f64 x (sqrt.f64 -1/12)) 1/6)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/12)) 2) 1/6)
(+.f64 1/6 (pow.f64 (*.f64 x (sqrt.f64 -1/12)) 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/144)) (cbrt.f64 (.f64 x (*.f64 -1/12 x))) 1/6)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/144)) (cbrt.f64 (.f64 -1/12 (*.f64 x x))) 1/6)
(fma.f64 (*.f64 -1/12 x) x 1/6)
(fma.f64 -1/12 (*.f64 x x) 1/6)

eval231.0ms (4.2%)

Compiler: Compiled 7467 to 5010 computations (32.9% saved)

prune60.0ms (1.1%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	367	4	371
Fresh	1	0	1
Picked	1	0	1
Done	1	10	11
Total	370	14	384

Error

Counts

384 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.0b	(fma.f64 1/6 (*.f64 y y) 1)
✓	29.0b	(+.f64 (.f64 1/6 (.f64 y y)) 1)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	1.2b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
	61.7b	(.f64 y (-.f64 (+.f64 1 (.f64 1/6 y)) 1))
✓	61.5b	(.f64 y (.f64 1/6 y))
	59.8b	(.f64 1/2 (/.f64 (.f64 2 (-.f64 (+.f64 1 (sinh.f64 y)) 1)) y))
✓	28.2b	(.f64 1/2 (/.f64 (.f64 2 (sinh.f64 y)) y))
✓	29.2b	(*.f64 1/2 2)
✓	61.2b	(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
✓	61.5b	(.f64 1/6 (.f64 y y))
	62.5b	(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
	62.1b	(.f64 -1/12 (.f64 x (.f64 y (.f64 y x))))
✓	1.4b	(cos.f64 x)

Compiler

Compiled 128 to 96 computations (25% saved)

regimes82.0ms (1.5%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 1/2 2)
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(.f64 -1/12 (.f64 x (.f64 y (.f64 y x))))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(.f64 y (-.f64 (+.f64 1 (.f64 1/6 y)) 1))
(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
(.f64 1/6 (.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (*.f64 y y)))
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 1/2 (/.f64 (.f64 2 (sinh.f64 y)) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(.f64 1/2 (/.f64 (.f64 2 (-.f64 (+.f64 1 (sinh.f64 y)) 1)) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Calls

5 calls:

50.0ms	y
9.0ms	x
8.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms	(cos.f64 x)
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0.0b	1	`(cos.f64 x)`
0.0b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 176 to 104 computations (40.9% saved)

regimes80.0ms (1.4%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 1/2 2)
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(.f64 -1/12 (.f64 x (.f64 y (.f64 y x))))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(.f64 y (-.f64 (+.f64 1 (.f64 1/6 y)) 1))
(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
(.f64 1/6 (.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (*.f64 y y)))
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 1/2 (/.f64 (.f64 2 (sinh.f64 y)) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(.f64 1/2 (/.f64 (.f64 2 (-.f64 (+.f64 1 (sinh.f64 y)) 1)) y))

Outputs
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))

Calls

3 calls:

41.0ms	y
27.0ms	(cos.f64 x)
8.0ms	x

Results

Error	Segments	Branch
1.2b	1	`x`
1.2b	1	`y`
1.2b	1	`(cos.f64 x)`

Compiler

Compiled 133 to 79 computations (40.6% saved)

regimes75.0ms (1.4%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 1/2 2)
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(.f64 -1/12 (.f64 x (.f64 y (.f64 y x))))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(.f64 y (-.f64 (+.f64 1 (.f64 1/6 y)) 1))
(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
(.f64 1/6 (.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (*.f64 y y)))
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 1/2 (/.f64 (.f64 2 (sinh.f64 y)) y))

Outputs
(cos.f64 x)

Calls

3 calls:

33.0ms	y
8.0ms	x
7.0ms	(cos.f64 x)

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`y`
1.4b	1	`(cos.f64 x)`

Compiler

Compiled 111 to 65 computations (41.4% saved)

regimes15.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 1/2 2)
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(.f64 -1/12 (.f64 x (.f64 y (.f64 y x))))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(.f64 y (-.f64 (+.f64 1 (.f64 1/6 y)) 1))
(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
(.f64 1/6 (.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (*.f64 y y)))

Outputs
(+.f64 (.f64 1/6 (.f64 y y)) 1)

Calls

2 calls:

6.0ms	x
6.0ms	y

Results

Error	Segments	Branch
29.0b	1	`x`
29.0b	1	`y`

Compiler

Compiled 79 to 47 computations (40.5% saved)

regimes8.0ms (0.1%)

Accuracy

Total -32.5b remaining (-111.3%)

Threshold costs -32.5b (-111.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 1/2 2)
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))

Outputs
(*.f64 1/2 2)

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Error	Segments	Branch
29.2b	1	`x`
29.2b	1	`y`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	75
1	24	75

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(*.f64 1/2 2)

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(+.f64 1 (.f64 1/6 (.f64 y y)))
(*.f64 1/2 2)
1

Compiler

Compiled 37 to 28 computations (24.3% saved)

soundness0.0ms (0%)

end47.0ms (0.9%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

Details

analyze162.0ms (3%)

sample2.7s (49.9%)

preprocess53.0ms (1%)

simplify51.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite67.0ms (1.2%)

simplify82.0ms (1.5%)

eval18.0ms (0.3%)

prune13.0ms (0.2%)

localize5.0ms (0.1%)

localize12.0ms (0.2%)

series30.0ms (0.5%)

rewrite94.0ms (1.7%)

simplify71.0ms (1.3%)

localize15.0ms (0.3%)

series8.0ms (0.1%)

rewrite89.0ms (1.6%)

simplify97.0ms (1.8%)

eval223.0ms (4.1%)

prune146.0ms (2.7%)

localize23.0ms (0.4%)

localize7.0ms (0.1%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series3.0ms (0.1%)

rewrite59.0ms (1.1%)

simplify59.0ms (1.1%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite105.0ms (1.9%)

simplify52.0ms (0.9%)

eval74.0ms (1.3%)

prune28.0ms (0.5%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite83.0ms (1.5%)

simplify56.0ms (1%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite55.0ms (1%)

simplify43.0ms (0.8%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite82.0ms (1.5%)

simplify109.0ms (2%)

eval231.0ms (4.2%)

prune60.0ms (1.1%)

regimes82.0ms (1.5%)

regimes80.0ms (1.4%)

regimes75.0ms (1.4%)

regimes15.0ms (0.3%)

regimes8.0ms (0.1%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end47.0ms (0.9%)

Profiling