Details

analyze200.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.0s (43.9%)

Results

1.1s	5134×	body	256	valid
1.0s	2069×	body	1024	valid
833.0ms	1930×	body	1024	infinite
412.0ms	1050×	body	512	valid
331.0ms	943×	body	512	infinite
253.0ms	1484×	body	256	infinite
3.0ms	3×	body	2048	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess64.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1552×	`unswap-sqr`
1128×	`fma-def`
908×	`associate-+l+`
854×	`associate-/r/`
834×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	59	42
3	115	42
4	215	42
5	362	42
6	835	42
7	2508	42
8	4604	42
9	6032	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1620×	`unswap-sqr`
1380×	`fma-def`
812×	`associate-/l*`
684×	`associate-/r*`
674×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	34	21
3	63	21
4	116	21
5	193	21
6	433	21
7	1240	21
8	3011	21
9	3306	21
10	3701	21
11	5569	21
12	6658	21
13	7939	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`add-sqr-sqrt`
1284×	`*-un-lft-identity`
1192×	`add-cube-cbrt`
1176×	`add-cbrt-cube`
1164×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	122	11
2	1572	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1510×	`associate-r`
1322×	`distribute-lft-in`
1284×	`associate-l`
938×	`associate-+r+`
788×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	846
1	229	668
2	894	498
3	5328	498

Stop Event

1×	node limit

Counts

34 → 47

Calls

Call 1

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

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

eval9.0ms (0.1%)

Compiler: Compiled 594 to 270 computations (54.5% saved)

prune70.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	35	12	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	13	48

Error

0.0b

Counts

48 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
▶	0.7b	(*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
	1.3b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
	1.3b	(.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	27.1b	(*.f64 (cosh.f64 x) (-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1))
	28.9b	(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	1.4b	(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))))
	30.5b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
▶	0.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
▶	14.2b	(*.f64 (cosh.f64 x) (exp.f64 (log.f64 (/.f64 (sin.f64 y) y))))
	17.6b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
▶	28.3b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 313 to 222 computations (29.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`add-sqr-sqrt`
1596×	`*-un-lft-identity`
1490×	`add-cube-cbrt`
1472×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	167	22
2	2041	22

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

Outputs

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

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

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1534×	`associate-*r/`
1000×	`associate-+r-`
928×	`associate-/r*`
758×	`associate-/l*`
684×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	1408
1	444	1358
2	1605	1342
3	7119	1342

Stop Event

1×	node limit

Counts

90 → 105

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 (neg.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 y y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1) (pow.f64 (/.f64 1 (sin.f64 y)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -1))
(/.f64 (sin.f64 y) y)
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (-.f64 (log.f64 (sin.f64 y)) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(*.f64 y (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(*.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 (.f64 -1/6 y) y)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 (.f64 -1/6 y) y)) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(fma.f64 (*.f64 y y) 1/6 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360)))
(+.f64 (fma.f64 (.f64 y y) 1/6 1) (.f64 (pow.f64 y 4) 7/360))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (.f64 y y) 1/6 (.f64 (pow.f64 y 4) 7/360))))
(fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (neg.f64 y)) (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 y y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1) (pow.f64 (/.f64 1 (sin.f64 y)) -1))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -1))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))
(/.f64 (sin.f64 y) y)
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (-.f64 (log.f64 (sin.f64 y)) (log.f64 y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(/.f64 y (sin.f64 y))
(*.f64 y (/.f64 1 (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(*.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(/.f64 y (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(/.f64 y (sin.f64 y))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(/.f64 y (sin.f64 y))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(/.f64 y (sin.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(/.f64 y (sin.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(/.f64 y (sin.f64 y))
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 y (sin.f64 y))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))
(/.f64 y (sin.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(/.f64 y (sin.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))
(/.f64 y (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))

localize4.0ms (0%)

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

localize38.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`add-sqr-sqrt`
1434×	`*-un-lft-identity`
1330×	`add-cube-cbrt`
1310×	`add-cbrt-cube`
1294×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	156	11
2	1834	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1030×	`associate--l-`
926×	`fma-def`
798×	`associate-/l/`
686×	`*-commutative`
514×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	430
1	160	426
2	492	418
3	2451	418
4	7648	418

Stop Event

1×	node limit

Counts

34 → 36

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	1.2b	(log.f64 (/.f64 (sin.f64 y) y))
✓	1.4b	(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))

Compiler

Compiled 32 to 8 computations (75% saved)

series82.0ms (0.9%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
57.0ms	y	@	-inf	(log.f64 (/.f64 (sin.f64 y) y))
23.0ms	y	@	inf	(log.f64 (/.f64 (sin.f64 y) y))
1.0ms	y	@	0	(log.f64 (/.f64 (sin.f64 y) y))
0.0ms	y	@	0	(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
0.0ms	y	@	inf	(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`add-sqr-sqrt`
1438×	`*-un-lft-identity`
1334×	`add-cube-cbrt`
1316×	`add-cbrt-cube`
1302×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	152	26
2	1773	26

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (/.f64 (sin.f64 y) y))

Outputs

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

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-*r/`
972×	`unswap-sqr`
864×	`associate-/l*`
742×	`associate-*l/`
700×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	192	1623
1	443	1607
2	1862	1607

Stop Event

1×	node limit

Counts

95 → 106

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 -1/180 (pow.f64 y 4)))
(+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 -1/180 (pow.f64 y 4))))
(+.f64 (.f64 -1/37800 (pow.f64 y 8)) (+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 -1/180 (pow.f64 y 4)))))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 (sin.f64 y))))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 (sin.f64 y))))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 (sin.f64 y))))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 y) y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(+.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 y)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(+.f64 0 (log.f64 (/.f64 (sin.f64 y) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(-.f64 (log.f64 (sin.f64 y)) (log.f64 y))
(-.f64 0 (log.f64 (/.f64 y (sin.f64 y))))
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (neg.f64 y)))
(-.f64 (+.f64 1 (log.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)
(*.f64 1 (log.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y))) (.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 (sin.f64 y)) (log.f64 y)))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y))) (+.f64 (.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 (sin.f64 y)) (log.f64 y)))))
(pow.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 y (sin.f64 y))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 y) y)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (sin.f64 y) y))) 1))
(log1p.f64 (-.f64 (/.f64 (sin.f64 y) y) 1))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 -1/180 (pow.f64 y 4)))
(fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) -1/180))
(+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 -1/180 (pow.f64 y 4))))
(fma.f64 -1/2835 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) -1/180)))
(fma.f64 (pow.f64 y 6) -1/2835 (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) -1/180)))
(+.f64 (.f64 -1/37800 (pow.f64 y 8)) (+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 -1/180 (pow.f64 y 4)))))
(fma.f64 -1/37800 (pow.f64 y 8) (fma.f64 -1/2835 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) -1/180))))
(fma.f64 -1/37800 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/2835 (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) -1/180))))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (sin.f64 y)))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (sin.f64 y)))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (sin.f64 y)))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (sin.f64 y)))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 (sin.f64 y))))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 (sin.f64 y))))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 (sin.f64 y))))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 (sin.f64 y))))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(/.f64 (sin.f64 y) y)
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))
(/.f64 (sin.f64 y) y)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(/.f64 (sin.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(/.f64 (sin.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 y) y)))
(pow.f64 (E.f64) (log.f64 (/.f64 (sin.f64 y) y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(fabs.f64 (/.f64 (sin.f64 y) y))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(+.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 y)))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 y)))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 0 (log.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(log.f64 (/.f64 (sin.f64 y) y))
(-.f64 (log.f64 (sin.f64 y)) (log.f64 y))
(log.f64 (/.f64 (sin.f64 y) y))
(-.f64 0 (log.f64 (/.f64 y (sin.f64 y))))
(log.f64 (/.f64 (sin.f64 y) y))
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (neg.f64 y)))
(-.f64 (+.f64 1 (log.f64 (/.f64 (sin.f64 y) y))) 1)
(log.f64 (/.f64 (sin.f64 y) y))
(*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)
(log.f64 (/.f64 (sin.f64 y) y))
(*.f64 1 (log.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(log.f64 (/.f64 (sin.f64 y) y))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2))
(log.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(log.f64 (/.f64 (sin.f64 y) y))
(/.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y))) (.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 (sin.f64 y)) (log.f64 y)))
(/.f64 (*.f64 (+.f64 (log.f64 (sin.f64 y)) (log.f64 y)) (log.f64 (/.f64 (sin.f64 y) y))) (+.f64 (log.f64 (sin.f64 y)) (log.f64 y)))
(/.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) (+.f64 (log.f64 (sin.f64 y)) (log.f64 y))) (+.f64 (log.f64 (sin.f64 y)) (log.f64 y)))
(*.f64 (/.f64 (+.f64 (log.f64 (sin.f64 y)) (log.f64 y)) (+.f64 (log.f64 (sin.f64 y)) (log.f64 y))) (log.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y))) (+.f64 (.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 (sin.f64 y)) (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) (pow.f64 (log.f64 y) 3)) (fma.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y)) (*.f64 (log.f64 y) (+.f64 (log.f64 (sin.f64 y)) (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) (pow.f64 (log.f64 y) 3)) (fma.f64 (log.f64 y) (+.f64 (log.f64 (sin.f64 y)) (log.f64 y)) (*.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (.f64 (log.f64 y) (log.f64 y)) (.f64 (log.f64 (sin.f64 y)) (+.f64 (log.f64 (sin.f64 y)) (log.f64 y)))))
(pow.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)
(log.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2)
(log.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 3)
(log.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3) 1/3)
(log.f64 (/.f64 (sin.f64 y) y))
(neg.f64 (log.f64 (/.f64 y (sin.f64 y))))
(log.f64 (/.f64 (sin.f64 y) y))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 y) y)) 2))
(fabs.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3))
(log.f64 (/.f64 (sin.f64 y) y))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(log.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(log.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (sin.f64 y) y))) 1))
(log.f64 (/.f64 (sin.f64 y) y))
(log1p.f64 (-.f64 (/.f64 (sin.f64 y) y) 1))
(log1p.f64 (+.f64 (/.f64 (sin.f64 y) y) -1))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 12 computations (65.7% saved)

series5.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`add-sqr-sqrt`
1634×	`*-un-lft-identity`
1544×	`add-cube-cbrt`
1526×	`add-cbrt-cube`
160×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	190	26
2	2126	26

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1040×	`unswap-sqr`
858×	`times-frac`
846×	`associate-/l*`
748×	`associate-/r*`
668×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	1408
1	417	1358
2	1426	1346
3	7760	1346

Stop Event

1×	node limit

Counts

84 → 106

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/18 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3240 (pow.f64 y 4)) (.f64 -1/18 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/3240 (pow.f64 y 4)) (+.f64 (.f64 -53/1224720 (pow.f64 y 6)) (*.f64 -1/18 (pow.f64 y 2)))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))) 1)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)
(*.f64 1 (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (neg.f64 (sin.f64 y))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (neg.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (/.f64 (sin.f64 y) y) 1/3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (/.f64 (sin.f64 y) y) 1/6)) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) 3) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))

Outputs
1
(+.f64 1 (*.f64 -1/18 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/18 (.f64 y y)))
(fma.f64 -1/18 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/3240 (pow.f64 y 4)) (.f64 -1/18 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1/3240 (pow.f64 y 4) (.f64 -1/18 (.f64 y y))))
(+.f64 (fma.f64 -1/18 (.f64 y y) 1) (.f64 -1/3240 (pow.f64 y 4)))
(fma.f64 -1/18 (*.f64 y y) (fma.f64 -1/3240 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 -1/3240 (pow.f64 y 4)) (+.f64 (.f64 -53/1224720 (pow.f64 y 6)) (*.f64 -1/18 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1/3240 (pow.f64 y 4) (fma.f64 -53/1224720 (pow.f64 y 6) (.f64 -1/18 (.f64 y y)))))
(+.f64 (fma.f64 -1/3240 (pow.f64 y 4) (.f64 -53/1224720 (pow.f64 y 6))) (fma.f64 -1/18 (.f64 y y) 1))
(+.f64 (fma.f64 -1/18 (.f64 y y) 1) (fma.f64 -1/3240 (pow.f64 y 4) (.f64 -53/1224720 (pow.f64 y 6))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) 1/120)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/120 (.f64 (.f64 -1/6 y) y)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) 1/120))))
(+.f64 (fma.f64 (pow.f64 y 4) 1/120 (.f64 (.f64 -1/6 y) y)) (fma.f64 (pow.f64 y 6) -1/5040 1))
(fma.f64 (pow.f64 y 6) -1/5040 (fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 1)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))) 1)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 1 (cbrt.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/3))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (neg.f64 (sin.f64 y))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (neg.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (sin.f64 y) y) 1/3)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 2)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 1))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1/3))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(/.f64 (sin.f64 y) y)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (/.f64 (sin.f64 y) y) 1/6)) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 y y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 y y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) 3) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))
(/.f64 (sin.f64 y) y)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 y y))))
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)

eval130.0ms (1.4%)

Compiler: Compiled 6320 to 2759 computations (56.3% saved)

prune63.0ms (0.7%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	440	7	447
Fresh	6	1	7
Picked	0	1	1
Done	1	4	5
Total	447	13	460

Error

Counts

460 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(.f64 (cosh.f64 x) (pow.f64 (.f64 (/.f64 1 (sin.f64 y)) y) -1))
✓	0.7b	(*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
▶	1.4b	(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y)))))
	31.5b	(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y)))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶	0.1b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	27.1b	(*.f64 (cosh.f64 x) (-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1))
▶	28.9b	(.f64 (cosh.f64 x) (+.f64 1 (.f64 (*.f64 y y) -1/6)))
✓	0.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
▶	19.6b	(*.f64 (cosh.f64 x) (sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
✓	14.2b	(*.f64 (cosh.f64 x) (exp.f64 (log.f64 (/.f64 (sin.f64 y) y))))
✓	28.3b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 259 to 188 computations (27.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`add-sqr-sqrt`
1600×	`*-un-lft-identity`
1488×	`add-cube-cbrt`
1470×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	163	11
2	2044	11

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1118×	`distribute-rgt-in`
1118×	`distribute-lft-in`
960×	`associate-+r+`
856×	`associate-+l+`
570×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	747
1	295	725
2	1075	693
3	4227	693

Stop Event

1×	node limit

Counts

51 → 57

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 17 computations (48.5% saved)

series10.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(.f64 (.f64 y y) -1/6)
1.0ms	x	@	inf	(.f64 (cosh.f64 x) (+.f64 1 (.f64 (*.f64 y y) -1/6)))
1.0ms	x	@	-inf	(.f64 (cosh.f64 x) (+.f64 1 (.f64 (*.f64 y y) -1/6)))
1.0ms	y	@	0	(.f64 (cosh.f64 x) (+.f64 1 (.f64 (*.f64 y y) -1/6)))
1.0ms	x	@	0	(.f64 (cosh.f64 x) (+.f64 1 (.f64 (*.f64 y y) -1/6)))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`associate-*r/`
926×	`associate-*l/`
684×	`distribute-rgt-in`
636×	`distribute-lft-in`
288×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	250	38
2	3154	38

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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-1/6)))))) (cbrt.f64 (-.f64 1 (*.f64 y (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 (*.f64 y y) 3))) (cosh.f64 x)) 1) (+.f64 (*.f64 1/36 (pow.f64 y 4)) (-.f64 1 (*.f64 y (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 (*.f64 y y) 3))) (cosh.f64 x)) (sqrt.f64 (+.f64 (*.f64 1/36 (pow.f64 y 4)) (-.f64 1 (*.f64 y (*.f64 y -1/6)))))) (sqrt.f64 (+.f64 (*.f64 1/36 (pow.f64 y 4)) (-.f64 1 (*.f64 y (*.f64 y -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 (*.f64 y y) 3))) (cosh.f64 x)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/36 (pow.f64 y 4)) (-.f64 1 (*.f64 y (*.f64 y -1/6))))) (cbrt.f64 (+.f64 (*.f64 1/36 (pow.f64 y 4)) (-.f64 1 (*.f64 y (*.f64 y -1/6))))))) (cbrt.f64 (+.f64 (*.f64 1/36 (pow.f64 y 4)) (-.f64 1 (*.f64 y (*.f64 y -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 y (*.f64 y -1/6) 1)) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (fma.f64 y (*.f64 y -1/6) 1) 3)))))) (#(struct:change 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(pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x)) (*.f64 (*.f64 y (*.f64 y -1/6)) (cosh.f64 x)))))))

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Rules

812×	`unswap-sqr`
708×	`associate-/l*`
640×	`associate-+r+`
504×	`associate-r`
502×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	7259
1	982	6535
2	4220	6233

Stop Event

1×	node limit

Counts

157 → 194

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 -1/6 (pow.f64 y 2)) (.f64 1/2 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (.f64 1/720 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/2 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2)))))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 y (.f64 y -1/6)) 0)
(+.f64 1 (-.f64 (.f64 y (.f64 y -1/6)) 1))
(-.f64 (fma.f64 y (*.f64 y -1/6) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y -1/6) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 y -1/6)))) (+.f64 (/.f64 1/36 (/.f64 (-.f64 1 (.f64 y (.f64 y -1/6))) (pow.f64 y 4))) 1))
(pow.f64 (.f64 y (.f64 y -1/6)) 1)
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y -1/6))) 3)
(pow.f64 (.f64 -1/216 (pow.f64 (.f64 y y) 3)) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y -1/6)))))
(cbrt.f64 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y -1/6))))
(exp.f64 (log.f64 (.f64 y (.f64 y -1/6))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y -1/6))) 1))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y -1/6))))
(+.f64 (cosh.f64 x) (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)))
(+.f64 (cosh.f64 x) (.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) 1))
(+.f64 (cosh.f64 x) (.f64 1 (.f64 (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)) 1)))
(+.f64 (cosh.f64 x) (.f64 (.f64 (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)) 1) 1))
(+.f64 (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)) (cosh.f64 x))
(+.f64 (.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) 1) (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cosh.f64 x))) (-.f64 1 (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (cosh.f64 x))) (-.f64 1 (.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) 1)))
(-.f64 (+.f64 (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)) (exp.f64 (log1p.f64 (cosh.f64 x)))) 1)
(/.f64 (cosh.f64 x) (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)))
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (/.f64 1 (cosh.f64 x)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 (-.f64 1 (.f64 y (*.f64 y -1/6))) (cosh.f64 x)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 (.f64 (-.f64 1 (.f64 y (.f64 y -1/6))) 2) (*.f64 2 (cosh.f64 x))))
(/.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (/.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6)))) (cosh.f64 x)))
(/.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (/.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6)))) 2) (*.f64 2 (cosh.f64 x))))
(/.f64 (.f64 2 (cosh.f64 x)) (/.f64 2 (fma.f64 y (.f64 y -1/6) 1)))
(/.f64 (.f64 2 (cosh.f64 x)) (/.f64 (+.f64 2 (.f64 (.f64 y (.f64 y 1/6)) 2)) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))))
(/.f64 (.f64 2 (cosh.f64 x)) (/.f64 (.f64 2 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))) (+.f64 1 (.f64 -1/216 (pow.f64 (*.f64 y y) 3)))))
(/.f64 (.f64 (cosh.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (-.f64 1 (.f64 y (.f64 y -1/6))))
(/.f64 (.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (fma.f64 y (.f64 y -1/6) 1) (*.f64 2 (cosh.f64 x))) 2)
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (fma.f64 y (*.f64 y -1/6) 1)) 2)
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (cosh.f64 x)) (-.f64 1 (.f64 y (.f64 y -1/6))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (cosh.f64 x)) (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)))) (.f64 (cosh.f64 x) (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) 3)) (+.f64 (pow.f64 (cosh.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) (-.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) (cosh.f64 x)))))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (+.f64 2 (.f64 (.f64 y (.f64 y 1/6)) 2)))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) (.f64 2 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (.f64 2 (cosh.f64 x))) (.f64 (-.f64 1 (.f64 y (.f64 y -1/6))) 2))
(/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (.f64 2 (cosh.f64 x))) (.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6)))) 2))
(/.f64 (.f64 (cosh.f64 x) (-.f64 (.f64 1/36 (pow.f64 y 4)) 1)) (-.f64 (.f64 y (.f64 y -1/6)) 1))
(/.f64 (.f64 (cosh.f64 x) (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36)))) (neg.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (cosh.f64 x) (+.f64 -1 (neg.f64 (.f64 -1/216 (pow.f64 (.f64 y y) 3))))) (neg.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 1 (.f64 (cosh.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (-.f64 1 (.f64 y (*.f64 y -1/6))))
(/.f64 (.f64 1 (.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))))) (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (.f64 1 (.f64 (fma.f64 y (.f64 y -1/6) 1) (.f64 2 (cosh.f64 x)))) 2)
(/.f64 (.f64 1 (.f64 (.f64 2 (cosh.f64 x)) (fma.f64 y (.f64 y -1/6) 1))) 2)
(/.f64 (.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (cosh.f64 x))) (-.f64 1 (.f64 y (*.f64 y -1/6))))
(/.f64 (.f64 1 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (cosh.f64 x))) (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (cosh.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x))))) (.f64 (cosh.f64 x) (-.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) 3))) (+.f64 (pow.f64 (cosh.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) (-.f64 (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)) (cosh.f64 x)))))
(/.f64 (.f64 1 (.f64 (.f64 2 (cosh.f64 x)) (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (+.f64 2 (.f64 (.f64 y (*.f64 y 1/6)) 2)))
(/.f64 (.f64 1 (.f64 (.f64 2 (cosh.f64 x)) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))))) (.f64 2 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6))))))
(/.f64 (.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (.f64 2 (cosh.f64 x)))) (.f64 (-.f64 1 (.f64 y (*.f64 y -1/6))) 2))
(/.f64 (.f64 1 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (.f64 2 (cosh.f64 x)))) (.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6)))) 2))
(/.f64 (.f64 (fma.f64 y (.f64 y -1/6) 1) (.f64 (.f64 2 (cosh.f64 x)) 1)) 2)
(/.f64 (.f64 (fma.f64 y (.f64 y -1/6) 1) (*.f64 -2 (cosh.f64 x))) -2)
(/.f64 (.f64 (.f64 (cosh.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (sqrt.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 (.f64 (cosh.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 y -1/6)))))
(/.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y -1/6) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y -1/6) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y -1/6) 1) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y -1/6) 1) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) 1) (fma.f64 y (.f64 y -1/6) 1)) 2)
(/.f64 (.f64 (.f64 -2 (cosh.f64 x)) (fma.f64 y (*.f64 y -1/6) 1)) -2)
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (cosh.f64 x)) (-.f64 (.f64 y (.f64 y -1/6)) 1))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36))) (cosh.f64 x)) (neg.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) (cosh.f64 x)) (neg.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 (.f64 (cosh.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (.f64 y (*.f64 y -1/6))))
(/.f64 (.f64 (.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) 1) (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y -1/6) 1) (.f64 2 (cosh.f64 x))) 1) 2)
(/.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (fma.f64 y (.f64 y -1/6) 1)) 1) 2)
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (cosh.f64 x)) 1) (-.f64 1 (.f64 y (*.f64 y -1/6))))
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (cosh.f64 x)) 1) (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (.f64 (-.f64 (pow.f64 (cosh.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)))) 1) (.f64 (cosh.f64 x) (-.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) 3)) 1) (+.f64 (pow.f64 (cosh.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 y -1/6)) (cosh.f64 x)) (-.f64 (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)) (cosh.f64 x)))))
(/.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (+.f64 2 (.f64 (.f64 y (*.f64 y 1/6)) 2)))
(/.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) 1) (.f64 2 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6))))))
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (.f64 2 (cosh.f64 x))) 1) (.f64 (-.f64 1 (.f64 y (*.f64 y -1/6))) 2))
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (.f64 2 (cosh.f64 x))) 1) (.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6)))) 2))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) (.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (cosh.f64 x))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (cosh.f64 x))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (.f64 (sqrt.f64 (cosh.f64 x)) (fma.f64 y (.f64 y -1/6) 1))) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (cosh.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (.f64 y (.f64 y -1/6))))
(/.f64 (/.f64 (.f64 (cosh.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6))))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (/.f64 (.f64 (cosh.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cbrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))))) (cbrt.f64 (-.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (/.f64 (.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) 1) (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (/.f64 (.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6)))))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6))))))
(/.f64 (/.f64 (.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) (.f64 (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (cosh.f64 x)) 1) (-.f64 1 (.f64 y (.f64 y -1/6))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (cosh.f64 x)) (sqrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6))))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (cosh.f64 x)) (.f64 (cbrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))))) (cbrt.f64 (-.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (cosh.f64 x)) 1) (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (cosh.f64 x)) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6)))))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (cosh.f64 x)) (.f64 (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6))))))
(pow.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1)) 1)
(pow.f64 (sqrt.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1))) 2)
(pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1))) 3)
(pow.f64 (pow.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (*.f64 y -1/6) 1)) (cosh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1)))))
(cbrt.f64 (pow.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1)) 3))
(cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (fma.f64 y (.f64 y -1/6) 1) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 y (.f64 y -1/6) 1) 3) (pow.f64 (cosh.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1))))
(exp.f64 (log.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1))))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 1))
(log1p.f64 (expm1.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1))))
(fma.f64 (cosh.f64 x) 1 (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)))
(fma.f64 1 (cosh.f64 x) (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)))
(fma.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x)) (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x)) (.f64 (.f64 y (*.f64 y -1/6)) (cosh.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)))
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/2 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2)))))
(+.f64 (fma.f64 y (.f64 -1/6 y) 1) (.f64 1/2 (.f64 (.f64 x x) (fma.f64 y (*.f64 -1/6 y) 1))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/2 (.f64 (.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1)))))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (+.f64 (.f64 1/2 (.f64 x x)) 1))
(+.f64 1 (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 1 (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 y (.f64 -1/6 y) 1)) (fma.f64 -1/6 (.f64 y y) (.f64 1/2 (.f64 (.f64 x x) (fma.f64 y (*.f64 -1/6 y) 1))))))
(+.f64 1 (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 -1/6 (.f64 y y) (.f64 1/2 (.f64 (.f64 x x) (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 (.f64 x x) 1/2) (.f64 (pow.f64 x 4) 1/24))))
(+.f64 1 (+.f64 (.f64 1/720 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/2 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 y 2))) (pow.f64 x 2)))))))
(+.f64 1 (fma.f64 1/720 (.f64 (pow.f64 x 6) (fma.f64 y (.f64 -1/6 y) 1)) (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 y (.f64 -1/6 y) 1)) (fma.f64 -1/6 (.f64 y y) (.f64 1/2 (.f64 (.f64 x x) (fma.f64 y (*.f64 -1/6 y) 1)))))))
(+.f64 1 (fma.f64 1/720 (.f64 (pow.f64 x 6) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 -1/6 (.f64 y y) (.f64 1/2 (.f64 (.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1)))))))
(+.f64 (.f64 (fma.f64 -1/6 (.f64 y y) 1) (+.f64 (.f64 1/2 (.f64 x x)) 1)) (.f64 (fma.f64 -1/6 (.f64 y y) 1) (+.f64 (.f64 (pow.f64 x 4) 1/24) (.f64 (pow.f64 x 6) 1/720))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 y (*.f64 -1/6 y) 1))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 y (*.f64 -1/6 y) 1))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 y (*.f64 -1/6 y) 1))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 y (*.f64 -1/6 y) 1))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (fma.f64 -1/6 (*.f64 y y) 1)))
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(/.f64 (/.f64 (.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) (.f64 (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6))))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (fma.f64 1/36 (pow.f64 y 4) (-.f64 1 (.f64 -1/6 (*.f64 y y))))) (cosh.f64 x))
(.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 (cosh.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1))))
(.f64 (cosh.f64 x) (/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (cosh.f64 x)) 1) (-.f64 1 (.f64 y (.f64 y -1/6))))
(/.f64 (cosh.f64 x) (/.f64 (-.f64 1 (.f64 -1/6 (.f64 y y))) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))))
(/.f64 (cosh.f64 x) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (fma.f64 (pow.f64 y 4) -1/36 1)))
(.f64 (cosh.f64 x) (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (cosh.f64 x)) (sqrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6))))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (cosh.f64 x) (/.f64 (-.f64 1 (.f64 -1/6 (.f64 y y))) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))))
(/.f64 (cosh.f64 x) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (fma.f64 (pow.f64 y 4) -1/36 1)))
(.f64 (cosh.f64 x) (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (cosh.f64 x)) (.f64 (cbrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 y -1/6)))))) (cbrt.f64 (-.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (cosh.f64 x) (/.f64 (-.f64 1 (.f64 -1/6 (.f64 y y))) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))))
(/.f64 (cosh.f64 x) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (fma.f64 (pow.f64 y 4) -1/36 1)))
(.f64 (cosh.f64 x) (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (cosh.f64 x)) 1) (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6)))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (fma.f64 1/36 (pow.f64 y 4) (-.f64 1 (.f64 -1/6 (*.f64 y y))))) (cosh.f64 x))
(.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 (cosh.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1))))
(.f64 (cosh.f64 x) (/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (cosh.f64 x)) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6)))))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6))))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (fma.f64 1/36 (pow.f64 y 4) (-.f64 1 (.f64 -1/6 (*.f64 y y))))) (cosh.f64 x))
(.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 (cosh.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1))))
(.f64 (cosh.f64 x) (/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1))))
(/.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (cosh.f64 x)) (.f64 (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (.f64 y -1/6))))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (-.f64 1 (.f64 y (*.f64 y -1/6))))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) (fma.f64 1/36 (pow.f64 y 4) (-.f64 1 (.f64 -1/6 (*.f64 y y))))) (cosh.f64 x))
(.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 (cosh.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1))))
(.f64 (cosh.f64 x) (/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1))))
(pow.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1)) 1)
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(pow.f64 (sqrt.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1))) 2)
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1))) 3)
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(pow.f64 (pow.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1)) 3) 1/3)
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(sqrt.f64 (pow.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1)) 2))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (*.f64 y -1/6) 1)) (cosh.f64 x)))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1)))))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(cbrt.f64 (pow.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1)) 3))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (fma.f64 y (.f64 y -1/6) 1) 3)))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 y (.f64 y -1/6) 1) 3) (pow.f64 (cosh.f64 x) 3)))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(expm1.f64 (log1p.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1))))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(exp.f64 (log.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1))))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 1))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(log1p.f64 (expm1.f64 (.f64 (cosh.f64 x) (fma.f64 y (.f64 y -1/6) 1))))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(fma.f64 (cosh.f64 x) 1 (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(fma.f64 1 (cosh.f64 x) (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(fma.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x)) (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x)) (.f64 (.f64 y (*.f64 y -1/6)) (cosh.f64 x)))
(.f64 (fma.f64 y (.f64 -1/6 y) 1) (cosh.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cosh.f64 x))

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`add-sqr-sqrt`
1812×	`*-un-lft-identity`
1684×	`add-cube-cbrt`
1662×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	189	22
2	2461	22

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1210×	`unswap-sqr`
1176×	`times-frac`
1138×	`associate-*r/`
906×	`associate-/l*`
808×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1182
1	411	1120
2	1585	1108

Stop Event

1×	node limit

Counts

74 → 93

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(.f64 (pow.f64 y -1/2) (.f64 (pow.f64 y -1/2) (sin.f64 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (/.f64 1 (cbrt.f64 y)) (sin.f64 y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 -1 y) (/.f64 1 (/.f64 -1 (sin.f64 y))))
(.f64 (.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 y) -1/2)) (/.f64 (/.f64 1 y) (pow.f64 (sin.f64 y) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (/.f64 1 y) (/.f64 1 (cbrt.f64 (sin.f64 y)))))
(*.f64 (/.f64 (/.f64 1 y) -1) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (pow.f64 y -1/2) (/.f64 1 (cbrt.f64 (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 (sin.f64 y) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(neg.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 y)) -1))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3) 1/3)
(pow.f64 (sin.f64 y) -1)
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(fma.f64 y 1/6 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 y 1/6 (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 7/360 (pow.f64 y 3) (*.f64 y 1/6)))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3)))))
(+.f64 (fma.f64 y 1/6 (*.f64 7/360 (pow.f64 y 3))) (fma.f64 31/15120 (pow.f64 y 5) (/.f64 1 y)))
(+.f64 (fma.f64 7/360 (pow.f64 y 3) (*.f64 y 1/6)) (fma.f64 31/15120 (pow.f64 y 5) (/.f64 1 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(.f64 (pow.f64 y -1/2) (.f64 (pow.f64 y -1/2) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (/.f64 1 (cbrt.f64 y)) (sin.f64 y)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (sin.f64 y) (/.f64 1 (cbrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 -1 y) (/.f64 1 (/.f64 -1 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (pow.f64 (sin.f64 y) -1/2)) (/.f64 (/.f64 1 y) (pow.f64 (sin.f64 y) -1/2)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (/.f64 1 y) (/.f64 1 (cbrt.f64 (sin.f64 y)))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 (/.f64 (/.f64 1 y) 1) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (sin.f64 y)))
(/.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) y))
(*.f64 (/.f64 (/.f64 1 y) -1) (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) (/.f64 1 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (pow.f64 y -1/2) (/.f64 1 (cbrt.f64 (sin.f64 y)))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 (/.f64 (/.f64 1 y) 1) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (sin.f64 y)))
(/.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (sin.f64 y))))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (sin.f64 y) (/.f64 1 (cbrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 (sin.f64 y) -1/2)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (sin.f64 y) (/.f64 1 (cbrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(/.f64 (sin.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(/.f64 (sin.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(/.f64 1 (sin.f64 y))
(*.f64 1 (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (sin.f64 y)))
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))
(/.f64 1 (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 y)) -1))
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)
(/.f64 1 (sin.f64 y))
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3) 1/3)
(/.f64 1 (sin.f64 y))
(pow.f64 (sin.f64 y) -1)
(/.f64 1 (sin.f64 y))
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(/.f64 1 (sin.f64 y))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(/.f64 1 (sin.f64 y))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3))
(/.f64 1 (sin.f64 y))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(/.f64 1 (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 y (sin.f64 y)) -2)
	0.1b	(/.f64 y (sin.f64 y))
✓	12.9b	(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))

Compiler

Compiled 36 to 15 computations (58.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite106.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`add-sqr-sqrt`
1772×	`*-un-lft-identity`
1660×	`add-cube-cbrt`
1642×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	188	28
2	2293	28

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))
(pow.f64 (/.f64 y (sin.f64 y)) -2)

Outputs

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

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

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1316×	`times-frac`
1080×	`unswap-sqr`
840×	`associate-/l*`
528×	`*-commutative`
516×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	1713
1	432	1543
2	1727	1507
3	7923	1507

Stop Event

1×	node limit

Counts

91 → 104

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (sin.f64 y) y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 2/45 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 2))))
(+.f64 (.f64 -1/315 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2)))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1) (pow.f64 (/.f64 1 (sin.f64 y)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -1))
(*.f64 (pow.f64 1 1/2) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/2))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2) 1/2)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3) 1/3)
(fabs.f64 (/.f64 (sin.f64 y) y))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (-.f64 (log.f64 (sin.f64 y)) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) -1))
(exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 y (sin.f64 y)))) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))) 1)
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2) 1)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(*.f64 1 (pow.f64 (/.f64 y (sin.f64 y)) -2))
(.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 y -2) (pow.f64 (/.f64 1 (sin.f64 y)) -2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) -2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -2))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4))
(log.f64 (exp.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
(exp.f64 (*.f64 -2 (log.f64 (/.f64 y (sin.f64 y)))))
(exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 y (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (sin.f64 y)) y)
(/.f64 (sin.f64 y) (neg.f64 y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (sin.f64 y)) y)
(/.f64 (sin.f64 y) (neg.f64 y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (sin.f64 y)) y)
(/.f64 (sin.f64 y) (neg.f64 y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (sin.f64 y)) y)
(/.f64 (sin.f64 y) (neg.f64 y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 1)
(+.f64 1 (+.f64 (.f64 2/45 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 2))))
(+.f64 1 (fma.f64 2/45 (pow.f64 y 4) (.f64 (.f64 y y) -1/3)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 2/45 (.f64 (.f64 -1/3 y) y)))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 4) 2/45 1))
(+.f64 (.f64 -1/315 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2)))))
(fma.f64 -1/315 (pow.f64 y 6) (+.f64 1 (fma.f64 2/45 (pow.f64 y 4) (.f64 (.f64 y y) -1/3))))
(+.f64 (fma.f64 (pow.f64 y 4) 2/45 (.f64 (.f64 -1/3 y) y)) (fma.f64 (pow.f64 y 6) -1/315 1))
(fma.f64 (pow.f64 y 6) -1/315 (fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 4) 2/45 1)))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4))) (fabs.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4))))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 y -1) (pow.f64 (/.f64 1 (sin.f64 y)) -1))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (pow.f64 1 1/2) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4))) (fabs.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4))))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2) 1/2)
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(/.f64 (sin.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(/.f64 (sin.f64 y) y)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3))
(fabs.f64 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (-.f64 (log.f64 (sin.f64 y)) (log.f64 y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) -1))
(/.f64 (sin.f64 y) y)
(exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 y (sin.f64 y)))) 1/2))
(/.f64 (sin.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))) 1)
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2) 1)
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(*.f64 1 (pow.f64 (/.f64 y (sin.f64 y)) -2))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(.f64 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(*.f64 (pow.f64 y -2) (pow.f64 (/.f64 1 (sin.f64 y)) -2))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) -2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) -2))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -4))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2) 3))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(exp.f64 (*.f64 -2 (log.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 y (sin.f64 y)))) 1))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
(/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y))
(pow.f64 (/.f64 (sin.f64 y) y) 2)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
✓	0.2b	(/.f64 y (cbrt.f64 (sin.f64 y)))
✓	0.5b	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
✓	0.6b	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 47 to 16 computations (66% saved)

series12.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 y (cbrt.f64 (sin.f64 y)))
2.0ms	y	@	-inf	(/.f64 y (cbrt.f64 (sin.f64 y)))
2.0ms	y	@	inf	(cbrt.f64 (sin.f64 y))
1.0ms	y	@	inf	(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
1.0ms	y	@	-inf	(cbrt.f64 (sin.f64 y))

rewrite97.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`associate-/l*`
1370×	`associate-*r/`
970×	`*-commutative`
952×	`associate-*l/`
420×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	74
1	211	50
2	2810	50

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 1/6) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (/.f64 (cbrt.f64 (sin.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (sin.f64 y)))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (neg.f64 y) (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 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simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1106×	`times-frac`
978×	`distribute-lft-neg-in`
952×	`associate-r`
890×	`distribute-rgt-neg-in`
822×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	406	4722
1	1000	4678
2	6116	4678

Stop Event

1×	node limit

Counts

236 → 240

Calls

Call 1

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

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

eval341.0ms (3.8%)

Compiler: Compiled 14556 to 7187 computations (50.6% saved)

prune283.0ms (3.1%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	815	7	822
Fresh	1	2	3
Picked	1	0	1
Done	2	7	9
Total	819	16	835

Error

Counts

835 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	29.8b	(fma.f64 y (*.f64 -1/6 y) 1)
▶	29.8b	(fma.f64 -1/6 (*.f64 y y) 1)
	12.9b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2))
✓	0.7b	(*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
▶	31.5b	(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y)))
	1.5b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)))
	27.6b	(.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
▶	27.6b	(.f64 (cosh.f64 x) (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
▶	0.3b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) y)))
▶	27.1b	(*.f64 (cosh.f64 x) (-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1))
✓	0.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
✓	19.6b	(*.f64 (cosh.f64 x) (sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
✓	14.2b	(*.f64 (cosh.f64 x) (exp.f64 (log.f64 (/.f64 (sin.f64 y) y))))
✓	28.3b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 302 to 227 computations (24.8% saved)

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 21 computations (44.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`add-sqr-sqrt`
1690×	`*-un-lft-identity`
1568×	`add-cube-cbrt`
1546×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	182	22
2	2298	22

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-+r+`
1428×	`associate-+l+`
750×	`unswap-sqr`
650×	`associate-*r/`
446×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1055
1	300	1047
2	1140	1031
3	5556	1031

Stop Event

1×	node limit

Counts

79 → 81

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(/.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 y))
(/.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) -1)
(/.f64 (*.f64 y -1) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 -1 y) (neg.f64 (sin.f64 y)))
(/.f64 (/.f64 y 1) (sin.f64 y))
(/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (sin.f64 y) (pow.f64 y -1))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (pow.f64 y -1) (sin.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -1))
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))

Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 7/360 (pow.f64 y 4)))
(fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4)))))
(fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1)))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) 1/120)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/120 (.f64 y (.f64 y -1/6))))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) 1/120))))
(+.f64 (fma.f64 (pow.f64 y 4) 1/120 (.f64 y (.f64 y -1/6))) (fma.f64 (pow.f64 y 6) -1/5040 1))
(fma.f64 (pow.f64 y 6) -1/5040 (fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 1)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(/.f64 y (sin.f64 y))
(/.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 y))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 y (sin.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (sin.f64 y)) (cbrt.f64 y))
(.f64 (cbrt.f64 y) (/.f64 (cbrt.f64 (.f64 y y)) (sin.f64 y)))
(/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) -1)
(/.f64 y (sin.f64 y))
(/.f64 (*.f64 y -1) (neg.f64 (sin.f64 y)))
(/.f64 y (sin.f64 y))
(/.f64 (*.f64 -1 y) (neg.f64 (sin.f64 y)))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 y 1) (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(/.f64 y (sin.f64 y))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(/.f64 y (sin.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(/.f64 y (sin.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(/.f64 y (sin.f64 y))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 y (sin.f64 y))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))
(/.f64 y (sin.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(/.f64 y (sin.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))
(/.f64 y (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (pow.f64 y -1))
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 y -1) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -1))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(/.f64 (sin.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(/.f64 (sin.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(/.f64 (sin.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) -1))
(/.f64 (sin.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1302×	`add-sqr-sqrt`
1280×	`*-un-lft-identity`
1190×	`add-cube-cbrt`
1180×	`add-cbrt-cube`
1170×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	153	15
2	1661	15

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1380×	`distribute-lft-in`
1228×	`distribute-rgt-in`
1144×	`associate-r`
878×	`*-commutative`
876×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	543
1	139	537
2	668	517
3	3216	517

Stop Event

1×	node limit

Counts

33 → 30

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cosh.f64 x) (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
✓	0.2b	(.f64 (.f64 y y) 1/6)
✓	0.3b	(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))

Compiler

Compiled 44 to 25 computations (43.2% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite115.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`associate-*r/`
1044×	`associate-*l/`
558×	`distribute-lft-in`
556×	`associate-/r*`
444×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	274	59
2	3441	59

Stop Event

1×	node limit

Counts

3 → 207

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) 1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (neg.f64 (*.f64 y (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) 1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (*.f64 -1 (*.f64 y (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) 1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (*.f64 (neg.f64 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) 1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (*.f64 (neg.f64 (*.f64 y y)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) 1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) 1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (*.f64 (neg.f64 (*.f64 y (sqrt.f64 1/6))) (*.f64 y (sqrt.f64 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) 1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/36))) (cbrt.f64 (*.f64 y (*.f64 y 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) 1) (*.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 -1/6 (*.f64 y y)))) (*.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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simplify150.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

994×	`associate-/l*`
880×	`associate-+r+`
866×	`associate-r`
730×	`+-commutative`
686×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	638	12629
1	1884	10325
2	7491	10325

Stop Event

1×	node limit

Counts

255 → 364

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/36 (pow.f64 y 4))))
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(/.f64 6 (pow.f64 y 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(/.f64 6 (pow.f64 y 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(*.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 (*.f64 1/6 (pow.f64 y 2))))
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(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
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(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
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(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
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(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6)))))
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(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) 1) (.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (.f64 (neg.f64 y) (.f64 y 1/6))))
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(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) 1) (.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (.f64 (neg.f64 (.f64 y (sqrt.f64 1/6))) (*.f64 y (sqrt.f64 1/6)))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))) 1)
(.f64 1 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))
(.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)) 1)
(.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -1/2) (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -1/2))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1))) (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 -1 (/.f64 -1 (fma.f64 y (.f64 y 1/6) 1)))
(.f64 (/.f64 -1 (fma.f64 y (.f64 y 1/6) 1)) -1)
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (-.f64 1 (.f64 y (.f64 y 1/6))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216))) (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 y (.f64 y 1/6)))))
(.f64 (pow.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) -1) (pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) -1))
(.f64 (/.f64 (-.f64 1 (.f64 y (.f64 y 1/6))) (-.f64 1 (.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 4) 1/36)))) (+.f64 1 (*.f64 (pow.f64 y 4) 1/36)))
(.f64 (/.f64 (-.f64 1 (.f64 y (.f64 y 1/6))) (-.f64 1 (pow.f64 (.f64 (pow.f64 y 4) 1/36) 3))) (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 4) 1/36)))))
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(.f64 (/.f64 1 (neg.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216)))) (neg.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 y (.f64 y 1/6))))))
(.f64 (/.f64 1 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (.f64 y (.f64 y 1/6)) 1))
(.f64 (/.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -1/2) (sqrt.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))) (sqrt.f64 (-.f64 1 (.f64 y (*.f64 y 1/6)))))
(.f64 (/.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -1/2) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 y (*.f64 y 1/6))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))) (-.f64 1 (.f64 y (.f64 y 1/6))))
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(.f64 (/.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 y (.f64 y 1/6)))) (+.f64 1 (pow.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/216) 3))) (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/216) (.f64 (pow.f64 (.f64 y y) 3) 1/216)) (.f64 (pow.f64 (*.f64 y y) 3) 1/216))))
(pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -1)
(pow.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)) 1)
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(/.f64 (/.f64 (.f64 (cosh.f64 x) -1) 1) (-.f64 -1 (.f64 y (*.f64 y 1/6))))
(/.f64 (/.f64 (.f64 (cosh.f64 x) -1) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (neg.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))
(/.f64 (/.f64 (.f64 (cosh.f64 x) -1) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (neg.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 (/.f64 (.f64 (cosh.f64 x) -1) -1) (fma.f64 y (.f64 y 1/6) 1))
(/.f64 (/.f64 (.f64 (cosh.f64 x) -1) (sqrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6))))) (sqrt.f64 (-.f64 -1 (.f64 y (*.f64 y 1/6)))))
(/.f64 (/.f64 (.f64 (cosh.f64 x) -1) (.f64 (cbrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6)))) (cbrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6)))))) (cbrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6)))))
(/.f64 (/.f64 (.f64 (cosh.f64 x) -1) (neg.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))
(/.f64 (/.f64 (.f64 (cosh.f64 x) -1) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2))) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) 1) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1))) (cbrt.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) 1) (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)))) (sqrt.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (cbrt.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (cbrt.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1))) (cbrt.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1))))) (cbrt.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) 1) (-.f64 -1 (.f64 y (.f64 y 1/6))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (neg.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (neg.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) -1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (sqrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6))))) (sqrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6)))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (.f64 (cbrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6)))) (cbrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6)))))) (cbrt.f64 (-.f64 -1 (.f64 y (*.f64 y 1/6)))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2))) (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)))
(pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3)) (pow.f64 (cosh.f64 x) 3)))
(cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 3) (/.f64 1 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3))))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(exp.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/36 (pow.f64 y 4))))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 -1/6 (.f64 y y))))
(fma.f64 1/36 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (.f64 -1/216 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(fma.f64 -1/216 (pow.f64 y 6) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -1/216 (pow.f64 y 6) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(/.f64 6 (pow.f64 y 2))
(/.f64 6 (*.f64 y y))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4)))
(+.f64 (/.f64 6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(+.f64 (/.f64 6 (*.f64 y y)) (-.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 36 (pow.f64 y 4))))
(+.f64 (/.f64 216 (pow.f64 y 6)) (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))))
(+.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (/.f64 216 (pow.f64 y 6)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(-.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 216 (pow.f64 y 6))) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 1296 (pow.f64 y 8))))
(+.f64 (/.f64 216 (pow.f64 y 6)) (-.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 1296 (pow.f64 y 8)))))
(/.f64 6 (pow.f64 y 2))
(/.f64 6 (*.f64 y y))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4)))
(+.f64 (/.f64 6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(+.f64 (/.f64 6 (*.f64 y y)) (-.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 36 (pow.f64 y 4))))
(+.f64 (/.f64 216 (pow.f64 y 6)) (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))))
(+.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (/.f64 216 (pow.f64 y 6)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(-.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 216 (pow.f64 y 6))) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 1296 (pow.f64 y 8))))
(+.f64 (/.f64 216 (pow.f64 y 6)) (-.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 1296 (pow.f64 y 8)))))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 y 1/6))
(/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))
(+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 x x) (fma.f64 y (.f64 y 1/6) 1))) (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))
(fma.f64 1/2 (/.f64 x (/.f64 (fma.f64 y (.f64 y 1/6) 1) x)) (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 y 1/6) 1)) (+.f64 (.f64 1/2 (/.f64 (.f64 x x) (fma.f64 y (.f64 y 1/6) 1))) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 y 1/6) 1)) (fma.f64 1/2 (/.f64 x (/.f64 (fma.f64 y (.f64 y 1/6) 1) x)) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (.f64 1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 y 1/6) 1)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (fma.f64 y (.f64 y 1/6) 1)) (.f64 1/720 (/.f64 (pow.f64 x 6) (fma.f64 y (.f64 y 1/6) 1)))) (/.f64 1 (fma.f64 y (.f64 y 1/6) 1))))
(+.f64 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 y 1/6) 1)) (fma.f64 1/2 (/.f64 x (/.f64 (fma.f64 y (.f64 y 1/6) 1) x)) (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))) (.f64 1/720 (/.f64 (pow.f64 x 6) (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/72 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/72))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 -1/432 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/432 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/72 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/432 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/72)))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)))
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(/.f64 (cosh.f64 x) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (cbrt.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (cbrt.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))
(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (.f64 (cbrt.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (cbrt.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))))
(/.f64 (cosh.f64 x) (.f64 (cbrt.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2) (cbrt.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1))) (cbrt.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1))))) (cbrt.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) 1) (-.f64 -1 (.f64 y (.f64 y 1/6))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (neg.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))))
(/.f64 (cosh.f64 x) (.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (neg.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) -1) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (sqrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6))))) (sqrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (.f64 (cbrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6)))) (cbrt.f64 (-.f64 -1 (.f64 y (.f64 y 1/6)))))) (cbrt.f64 (-.f64 -1 (.f64 y (*.f64 y 1/6)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))
(/.f64 (cosh.f64 x) (.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2))) (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 1)
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 2)
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 3)
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3) 1/3)
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 2))
(fabs.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3)) (pow.f64 (cosh.f64 x) 3)))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 3) (/.f64 1 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(exp.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 1))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (sin.f64 y) y))
	0.1b	(/.f64 (sin.f64 y) y)
✓	2.1b	(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)

Compiler

Compiled 38 to 17 computations (55.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite103.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-*l/`
824×	`associate-/r*`
814×	`*-commutative`
630×	`associate-/l*`
592×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	198	28
2	2784	28

Stop Event

1×	node limit

Counts

2 → 246

Calls

Call 1

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

Outputs

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

simplify193.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1230×	`associate-+r-`
936×	`+-commutative`
826×	`associate-/l*`
562×	`associate-/l/`
556×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	612	11134
1	1677	10692
2	7408	10692

Stop Event

1×	node limit

Counts

270 → 383

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
2
(+.f64 2 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 (/.f64 (sin.f64 y) y) 1)
1
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (+.f64 (/.f64 (sin.f64 y) y) -1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) -1)
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 (+.f64 (/.f64 (sin.f64 y) y) -1) 1)
(+.f64 -1 (+.f64 1 (/.f64 (sin.f64 y) y)))
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) -1) (/.f64 1 (+.f64 (/.f64 (sin.f64 y) y) 2)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3)) (/.f64 1 (+.f64 (/.f64 (sin.f64 y) y) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2)))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))) (-.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y))) 1))
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 y) y) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) -1))
(*.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 y) y) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3)))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) 1))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) -1)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2))) (-.f64 0 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3))) (+.f64 1 (+.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 (sin.f64 y) y) 2))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3)) (-.f64 (.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2)) (*.f64 (+.f64 (/.f64 (sin.f64 y) y) 2) (+.f64 (/.f64 (sin.f64 y) y) 2)))) (-.f64 (+.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 (sin.f64 y) y) 2)) 1))
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(/.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(fma.f64 1 (+.f64 1 (/.f64 (sin.f64 y) y)) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y))) (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) -1)
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 0)
(-.f64 (+.f64 (/.f64 (sin.f64 y) y) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (sin.f64 y) y))) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) (+.f64 (/.f64 (sin.f64 y) y) 2)) (-.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 y) y) 2)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3) (+.f64 (/.f64 (sin.f64 y) y) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2)))) (-.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 y) y) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2)))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2) (+.f64 (/.f64 (sin.f64 y) y) 2))) (/.f64 1 (+.f64 (/.f64 (sin.f64 y) y) 2)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3) (+.f64 (/.f64 (sin.f64 y) y) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2))))) (/.f64 1 (+.f64 (/.f64 (sin.f64 y) y) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2)))))
(*.f64 1 (+.f64 1 (/.f64 (sin.f64 y) y)))
(*.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y))) (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (/.f64 1 (-.f64 1 (/.f64 (sin.f64 y) y))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 1 (-.f64 1 (/.f64 (sin.f64 y) y))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y)))) (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (+.f64 1 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))) (+.f64 1 (+.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 (sin.f64 y) y) 2))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) (-.f64 1 (.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y)) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y))))) (+.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y)) 3))) (+.f64 1 (.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y)) (-.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y)) 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1)) (+.f64 1 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1)) (+.f64 1 (+.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 (sin.f64 y) y) 2))))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (-.f64 1 (/.f64 (sin.f64 y) y)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))) 1))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (/.f64 (-.f64 1 (/.f64 (sin.f64 y) y)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)))) (/.f64 (-.f64 1 (/.f64 (sin.f64 y) y)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (+.f64 (/.f64 (sin.f64 y) y) -1))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3))) (.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (/.f64 y (sin.f64 y)))) (*.f64 (-.f64 1 (/.f64 (sin.f64 y) y)) (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))) (+.f64 1 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 3)) (.f64 (-.f64 1 (/.f64 (sin.f64 y) y)) (+.f64 1 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (neg.f64 (-.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) 1) (+.f64 (/.f64 (sin.f64 y) y) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2))) 1) (neg.f64 (-.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))) (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (/.f64 y (sin.f64 y)))) (/.f64 1 (-.f64 1 (/.f64 (sin.f64 y) y)))) (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 3)) (/.f64 1 (-.f64 1 (/.f64 (sin.f64 y) y)))) (+.f64 1 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))))) (+.f64 1 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)) 1) (-.f64 1 (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 y) y))) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 y) y))))) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) 1) (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y)))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (-.f64 1 (/.f64 (sin.f64 y) y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) 1) (+.f64 (/.f64 (sin.f64 y) y) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (sqrt.f64 (+.f64 (/.f64 (sin.f64 y) y) -1))) (sqrt.f64 (+.f64 (/.f64 (sin.f64 y) y) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (*.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 y) y) -1)) (cbrt.f64 (+.f64 (/.f64 (sin.f64 y) y) -1)))) (cbrt.f64 (+.f64 (/.f64 (sin.f64 y) y) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (+.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))) (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (sin.f64 y) y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 (sin.f64 y) y) 2)))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (sin.f64 y) y))))
(fma.f64 1 (/.f64 (sin.f64 y) y) 1)
(fma.f64 (sin.f64 y) (/.f64 1 y) 1)
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
✓	0.3b	(/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y)))
✓	0.6b	(cbrt.f64 y)
✓	30.9b	(cbrt.f64 (*.f64 y y))

Compiler

Compiled 47 to 10 computations (78.7% saved)

series7.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
2.0ms	y	@	-inf	(/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y)))
1.0ms	y	@	inf	(/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y)))
1.0ms	y	@	0	(/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y)))
0.0ms	y	@	-inf	(cbrt.f64 y)

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`associate-/l*`
1462×	`associate-*r/`
1068×	`associate-*l/`
978×	`*-commutative`
332×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	68
1	204	48
2	2801	48

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

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

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-/r/`
1136×	`times-frac`
1090×	`distribute-rgt-in`
1062×	`distribute-lft-in`
704×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	349	3989
1	835	3901
2	4674	3901

Stop Event

1×	node limit

Counts

189 → 211

Calls

Call 1

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

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

eval540.0ms (5.9%)

Compiler: Compiled 24433 to 13299 computations (45.6% saved)

prune289.0ms (3.2%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	1143	10	1153
Fresh	2	2	4
Picked	0	1	1
Done	2	9	11
Total	1147	22	1169

Error

Counts

1169 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	30.0b	(/.f64 (-.f64 (.f64 (.f64 (.f64 -1/6 y) y) (.f64 (.f64 -1/6 y) y)) 1) (-.f64 (.f64 (*.f64 -1/6 y) y) 1))
	30.0b	(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/6 y) y) 3) 1) (+.f64 (.f64 (.f64 (.f64 -1/6 y) y) (.f64 (.f64 -1/6 y) y)) (-.f64 1 (.f64 (.f64 (.f64 -1/6 y) y) 1))))
	27.6b	(/.f64 (neg.f64 (cosh.f64 x)) (-.f64 -1 (.f64 y (.f64 y 1/6))))
	28.4b	(/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))
	28.4b	(/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
	29.8b	(+.f64 (.f64 (.f64 -1/6 y) y) 1)
	12.9b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2))
✓	0.7b	(*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
✓	31.5b	(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y)))
	30.8b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))))
	27.6b	(.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	61.4b	(.f64 (cosh.f64 x) (/.f64 6 (.f64 y y)))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
✓	0.3b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) y)))
✓	27.1b	(*.f64 (cosh.f64 x) (-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1))
✓	0.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
✓	19.6b	(*.f64 (cosh.f64 x) (sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
✓	14.2b	(*.f64 (cosh.f64 x) (exp.f64 (log.f64 (/.f64 (sin.f64 y) y))))
✓	28.3b	(*.f64 (cosh.f64 x) 1)
	62.7b	(.f64 -1/6 (.f64 y y))
	29.2b	1

Compiler

Compiled 276 to 206 computations (25.4% saved)

regimes78.0ms (0.9%)

Counts

37 → 1

Calls

Call 1

Inputs
1
(.f64 -1/6 (.f64 y y))
(+.f64 (.f64 (.f64 -1/6 y) y) 1)
(/.f64 (-.f64 (.f64 (.f64 (.f64 -1/6 y) y) (.f64 (.f64 -1/6 y) y)) 1) (-.f64 (.f64 (*.f64 -1/6 y) y) 1))
(*.f64 (cosh.f64 x) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (cosh.f64 x) (/.f64 6 (.f64 y y)))
(/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 (*.f64 y y) -1/6)))
(/.f64 (neg.f64 (cosh.f64 x)) (-.f64 -1 (.f64 y (.f64 y 1/6))))
(.f64 (cosh.f64 x) (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
(.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/6 y) y) 3) 1) (+.f64 (.f64 (.f64 (.f64 -1/6 y) y) (.f64 (.f64 -1/6 y) y)) (-.f64 1 (.f64 (.f64 (.f64 -1/6 y) y) 1))))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
(*.f64 (cosh.f64 x) (-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1))
(.f64 (cosh.f64 x) (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) y)))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
(.f64 (cosh.f64 x) (pow.f64 (.f64 (/.f64 1 (sin.f64 y)) y) -1))
(*.f64 (cosh.f64 x) (exp.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(*.f64 (cosh.f64 x) (sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
(*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2))
(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))))
(.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y)))))
(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))))

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

Calls

5 calls:

17.0ms	x
17.0ms	y
16.0ms	(/.f64 (sin.f64 y) y)
15.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(cosh.f64 x)

Results

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

Compiler

Compiled 428 to 230 computations (46.3% saved)

regimes24.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

Inputs
1
(.f64 -1/6 (.f64 y y))
(+.f64 (.f64 (.f64 -1/6 y) y) 1)
(/.f64 (-.f64 (.f64 (.f64 (.f64 -1/6 y) y) (.f64 (.f64 -1/6 y) y)) 1) (-.f64 (.f64 (*.f64 -1/6 y) y) 1))
(*.f64 (cosh.f64 x) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (cosh.f64 x) (/.f64 6 (.f64 y y)))
(/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 (*.f64 y y) -1/6)))
(/.f64 (neg.f64 (cosh.f64 x)) (-.f64 -1 (.f64 y (.f64 y 1/6))))
(.f64 (cosh.f64 x) (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
(.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/6 y) y) 3) 1) (+.f64 (.f64 (.f64 (.f64 -1/6 y) y) (.f64 (.f64 -1/6 y) y)) (-.f64 1 (.f64 (.f64 (.f64 -1/6 y) y) 1))))

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

Calls

3 calls:

9.0ms	y
8.0ms	x
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
27.6b	1	`x`
27.6b	1	`y`
27.6b	1	`(cosh.f64 x)`

Compiler

Compiled 175 to 116 computations (33.7% saved)

regimes23.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

Inputs
1
(.f64 -1/6 (.f64 y y))
(+.f64 (.f64 (.f64 -1/6 y) y) 1)
(/.f64 (-.f64 (.f64 (.f64 (.f64 -1/6 y) y) (.f64 (.f64 -1/6 y) y)) 1) (-.f64 (.f64 (*.f64 -1/6 y) y) 1))
(*.f64 (cosh.f64 x) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (cosh.f64 x) (/.f64 6 (.f64 y y)))
(/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 (*.f64 y y) -1/6)))
(/.f64 (neg.f64 (cosh.f64 x)) (-.f64 -1 (.f64 y (.f64 y 1/6))))
(.f64 (cosh.f64 x) (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))

Outputs
(/.f64 (neg.f64 (cosh.f64 x)) (-.f64 -1 (.f64 y (.f64 y 1/6))))

Calls

3 calls:

9.0ms	x
7.0ms	y
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
27.6b	1	`x`
27.6b	1	`y`
27.6b	1	`(cosh.f64 x)`

Compiler

Compiled 130 to 84 computations (35.4% saved)

regimes21.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

Inputs
1
(.f64 -1/6 (.f64 y y))
(+.f64 (.f64 (.f64 -1/6 y) y) 1)
(/.f64 (-.f64 (.f64 (.f64 (.f64 -1/6 y) y) (.f64 (.f64 -1/6 y) y)) 1) (-.f64 (.f64 (*.f64 -1/6 y) y) 1))
(*.f64 (cosh.f64 x) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (cosh.f64 x) (/.f64 6 (.f64 y y)))
(/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 (*.f64 y y) -1/6)))

Outputs
(*.f64 (cosh.f64 x) 1)

Calls

3 calls:

9.0ms	x
7.0ms	y
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
28.3b	1	`x`
28.3b	1	`y`
28.3b	1	`(cosh.f64 x)`

Compiler

Compiled 107 to 70 computations (34.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -33.8b remaining (-115.9%)

Threshold costs -33.8b (-115.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 42 to 30 computations (28.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
16×	`+-commutative`
10×	`distribute-lft-neg-in`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	101
1	39	101
2	56	101
3	71	101
4	76	101
5	77	101

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (neg.f64 (cosh.f64 x)) (-.f64 -1 (.f64 y (.f64 y 1/6))))
(*.f64 (cosh.f64 x) 1)
1

Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (neg.f64 (cosh.f64 x)) (-.f64 -1 (.f64 y (.f64 y 1/6))))
(/.f64 (neg.f64 (cosh.f64 x)) (+.f64 -1 (.f64 y (.f64 y -1/6))))
(*.f64 (cosh.f64 x) 1)
(cosh.f64 x)
1

Compiler

Compiled 45 to 34 computations (24.4% saved)

soundness0.0ms (0%)

end30.0ms (0.3%)

Compiler: Compiled 37 to 23 computations (37.8% saved)