Details

analyze236.0ms (2.9%)

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)

sample3.9s (48.1%)

Results

990.0ms	2049×	body	1024	valid
972.0ms	5159×	body	256	valid
954.0ms	1979×	body	1024	infinite
328.0ms	1000×	body	512	infinite
320.0ms	1519×	body	256	infinite
289.0ms	1043×	body	512	valid
5.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess62.0ms (0.8%)

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)

simplify97.0ms (1.2%)

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)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite54.0ms (0.7%)

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)))))))

simplify51.0ms (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)

prune23.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	33	14	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	15	48

Error

0.0b

Counts

48 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
	16.7b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	0.8b	(*.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)))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	32.5b	(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	0.8b	(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y))))
	31.5b	(.f64 (cosh.f64 x) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))))
	1.4b	(.f64 (cosh.f64 x) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
	30.1b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
▶	1.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y))))
▶	31.1b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))))
	0.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
▶	20.6b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
▶	31.7b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 399 to 272 computations (31.8% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

series2.0ms (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)
0.0ms	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 (0.8%)

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))))))))

simplify73.0ms (0.9%)

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 (0.1%)

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
	0.1b	(/.f64 (sin.f64 y) y)
✓	20.6b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

Compiler

Compiled 36 to 15 computations (58.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
1.0ms	y	@	-inf	(pow.f64 (/.f64 (sin.f64 y) y) 3)
0.0ms	y	@	inf	(pow.f64 (/.f64 (sin.f64 y) y) 3)
0.0ms	y	@	0	(pow.f64 (/.f64 (sin.f64 y) y) 3)
0.0ms	y	@	0	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`add-sqr-sqrt`
1670×	`*-un-lft-identity`
1580×	`add-cube-cbrt`
1564×	`add-cbrt-cube`
164×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	192	28
2	2199	28

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

790×	`*-commutative`
746×	`associate-/r/`
678×	`distribute-lft-in`
652×	`distribute-rgt-in`
564×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	208	1763
1	496	1733
2	2154	1733

Stop Event

1×	node limit

Counts

107 → 114

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(-.f64 (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 (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)) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/3))
(*.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 (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 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 y y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/3) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3))
(/.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) (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)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(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)
(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))))
(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))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) 1)
(.f64 (sin.f64 y) (.f64 (/.f64 1 y) (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 (sin.f64 y) y) 2))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1)
(*.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (sin.f64 y) 3) (/.f64 1 (pow.f64 y 3)))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 y) 3))
(.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (sin.f64 y)) (/.f64 1 y))
(.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (/.f64 (sin.f64 y) y))
(.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 3) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 3) (/.f64 (sin.f64 y) y))
(/.f64 1 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 1 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(/.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 y (sin.f64 y)))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (sin.f64 y)) y)
(/.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 (/.f64 (sin.f64 y) y) 2)) y)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 (/.f64 (sin.f64 y) y) 2)) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) 3)) (neg.f64 (pow.f64 y 3)))
(/.f64 (pow.f64 (neg.f64 (sin.f64 y)) 3) (pow.f64 (neg.f64 y) 3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 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 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cbrt.f64 -1)) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cbrt.f64 -1)) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cbrt.f64 -1)) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cbrt.f64 -1)) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (.f64 (.f64 y y) -1/2)))
(fma.f64 (pow.f64 y 4) 13/120 (fma.f64 (*.f64 y y) -1/2 1))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 6) -41/3024))))
(+.f64 (fma.f64 (pow.f64 y 4) 13/120 (fma.f64 (.f64 y y) -1/2 1)) (.f64 (pow.f64 y 6) -41/3024))
(+.f64 (fma.f64 (pow.f64 y 6) -41/3024 (.f64 y (.f64 y -1/2))) (fma.f64 (pow.f64 y 4) 13/120 1))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(-.f64 (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 (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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/3))
(/.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 (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 (/.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 (/.f64 (sin.f64 y) (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 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 y y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 y y))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (.f64 y y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/3) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2)))
(/.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) (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 -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 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(/.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 (/.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))
(/.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)
(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)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3))
(/.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 (sin.f64 y) y) 3))) 1)
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(.f64 (sin.f64 y) (.f64 (/.f64 1 y) (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 (sin.f64 y) y) 2))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1)
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(*.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (/.f64 1 (pow.f64 y 3)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 y) 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (sin.f64 y)) (/.f64 1 y))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 3) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 3) (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 1 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 1 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 y (sin.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (sin.f64 y)) y)
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (/.f64 y (sin.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (neg.f64 (sin.f64 y))) (neg.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 (/.f64 (sin.f64 y) y) 2)) y)
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 (/.f64 (sin.f64 y) y) 2)) (neg.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) 3)) (neg.f64 (pow.f64 y 3)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (neg.f64 (sin.f64 y)) 3) (pow.f64 (neg.f64 y) 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 6))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(exp.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(pow.f64 (/.f64 (sin.f64 y) y) 3)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
✓	0.2b	(/.f64 1 (sqrt.f64 y))
✓	0.3b	(/.f64 (sin.f64 y) (sqrt.f64 y))

Compiler

Compiled 43 to 16 computations (62.8% saved)

series5.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 (sin.f64 y) (sqrt.f64 y))
1.0ms	y	@	0	(/.f64 1 (sqrt.f64 y))
1.0ms	y	@	-inf	(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
1.0ms	y	@	0	(/.f64 (sin.f64 y) (sqrt.f64 y))
0.0ms	y	@	-inf	(/.f64 1 (sqrt.f64 y))

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1994×	`add-sqr-sqrt`
1974×	`*-un-lft-identity`
1842×	`add-cube-cbrt`
1810×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	202	33
2	2585	33

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

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

Outputs

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

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

((#(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) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2)))))) (#(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 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 y -1/2) (/.f64 (sqrt.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 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.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 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.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) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) -1) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y -1/2) (neg.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 y -1/2)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (sin.f64 y) (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y 1/4)) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) -1) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 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)))))))

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1066×	`associate-/r/`
748×	`distribute-rgt-in`
748×	`distribute-lft-in`
410×	`associate-l`
374×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	1986
1	563	1934
2	3015	1928

Stop Event

1×	node limit

Counts

120 → 140

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

localize63.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
✓	0.4b	(/.f64 (sin.f64 y) (cbrt.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 y) 2)
✓	0.5b	(cbrt.f64 y)

Compiler

Compiled 54 to 25 computations (53.7% saved)

series6.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
1.0ms	y	@	-inf	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 y) 2)
1.0ms	y	@	-inf	(/.f64 (sin.f64 y) (cbrt.f64 y))
0.0ms	y	@	0	(/.f64 (sin.f64 y) (cbrt.f64 y))

rewrite100.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`associate-/l*`
1050×	`*-commutative`
854×	`unswap-sqr`
642×	`swap-sqr`
412×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	250	42
2	3161	42

Stop Event

1×	node limit

Counts

4 → 280

Calls

Call 1

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

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

simplify94.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1446×	`times-frac`
1194×	`associate-/l*`
1048×	`associate-r`
998×	`associate-/r*`
752×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	606	8060
1	1503	7442

Stop Event

1×	node limit

Counts

292 → 387

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

eval238.0ms (3%)

Compiler: Compiled 15164 to 5892 computations (61.1% saved)

prune291.0ms (3.6%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	830	9	839
Fresh	5	4	9
Picked	1	0	1
Done	2	3	5
Total	838	16	854

Error

Counts

854 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	16.7b	(*.f64 (cosh.f64 x) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2) -1))
▶	0.2b	(.f64 (cosh.f64 x) (pow.f64 (.f64 (/.f64 1 (sin.f64 y)) y) -1))
▶	16.7b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	0.8b	(*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
	31.1b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
	34.3b	(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y)))
▶	34.3b	(.f64 (cosh.f64 x) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (cbrt.f64 (.f64 y y)) (sin.f64 y))))
	0.3b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	34.5b	(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 y) (sqrt.f64 (neg.f64 (sin.f64 y))))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
▶	32.5b	(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	0.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
	24.1b	(*.f64 (cosh.f64 x) (sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
✓	20.6b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	31.7b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 371 to 266 computations (28.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

series0.0ms (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)))

rewrite54.0ms (0.7%)

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)))))))

simplify55.0ms (0.7%)

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 1 (.f64 -1/6 (.f64 y y)))
✓	0.2b	(.f64 -1/6 (.f64 y y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`add-sqr-sqrt`
1540×	`*-un-lft-identity`
1448×	`add-cube-cbrt`
1438×	`add-cbrt-cube`
1428×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	165	28
2	2006	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y y))))))))

((#(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 (/.f64 1 (-.f64 1 (*.f64 -1/6 (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y 4) 1/36) (-.f64 1 (*.f64 -1/6 (*.f64 y y)))))))) (#(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 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))))) (#(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 1 (*.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (-.f64 1 (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 1/6 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 -1/6 (*.f64 y y))) (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 1/6 (*.f64 y y)))) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36)) (-.f64 1 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216)) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216)) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (-.f64 1 (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 y 4) 1/36) 1) (-.f64 (*.f64 -1/6 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (neg.f64 (-.f64 1 (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 1/6 (*.f64 y y))))))))) (#(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 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 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 (log1p.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (*.f64 y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) -1/6 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 -1/6)) (*.f64 y (sqrt.f64 -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 y) y 1)))))

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1520×	`associate-/r*`
1062×	`associate-r`
798×	`associate-l`
668×	`distribute-lft-neg-in`
634×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1500
1	251	1408
2	840	1340
3	3899	1340

Stop Event

1×	node limit

Counts

70 → 63

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

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

localize53.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 22 computations (43.6% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 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 (sin.f64 y)) y)
0.0ms	y	@	inf	(*.f64 (/.f64 1 (sin.f64 y)) y)

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`add-sqr-sqrt`
1782×	`*-un-lft-identity`
1656×	`add-cube-cbrt`
1634×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	203	33
2	2351	33

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1446×	`associate-+r+`
1158×	`associate-*r/`
956×	`unswap-sqr`
744×	`associate-*l/`
706×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1335
1	402	1323
2	1432	1299
3	7503	1299

Stop Event

1×	node limit

Counts

99 → 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 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(/.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 y (sin.f64 y))
(/.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.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 (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 (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 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))
(/.f64 (sin.f64 y) y)
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 y (sin.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 (/.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 -1 (/.f64 1 (neg.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (/.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 (sin.f64 y) -1)
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3) 1/3)
(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 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)
(+.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 y 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 (.f64 y 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 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(fma.f64 1/6 y (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 7/360 (pow.f64 y 3) (*.f64 1/6 y)))
(fma.f64 1/6 y (fma.f64 7/360 (pow.f64 y 3) (/.f64 1 y)))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3)))))
(+.f64 (fma.f64 7/360 (pow.f64 y 3) (*.f64 1/6 y)) (fma.f64 31/15120 (pow.f64 y 5) (/.f64 1 y)))
(fma.f64 31/15120 (pow.f64 y 5) (fma.f64 1/6 y (fma.f64 7/360 (pow.f64 y 3) (/.f64 1 y))))
(-.f64 (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 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 y (sin.f64 y))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.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 (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 (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 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 (sin.f64 y) y)
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 y (sin.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 (/.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 -1 (/.f64 1 (neg.f64 (sin.f64 y))))
(/.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 (cbrt.f64 (/.f64 1 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.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 (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 (cbrt.f64 (/.f64 1 (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))
(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))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (sin.f64 y) y))
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.2b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)

Compiler

Compiled 35 to 12 computations (65.7% saved)

series7.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
2.0ms	y	@	inf	(sqrt.f64 (/.f64 (sin.f64 y) y))
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
0.0ms	y	@	-inf	(sqrt.f64 (/.f64 (sin.f64 y) y))
0.0ms	y	@	0	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`add-sqr-sqrt`
1596×	`*-un-lft-identity`
1490×	`add-cube-cbrt`
1474×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	187	26
2	2038	26

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(sqrt.f64 (/.f64 (sin.f64 y) 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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.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 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (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 (cbrt.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 (/.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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.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 (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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (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 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)))))))

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

simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1122×	`times-frac`
964×	`associate-/l*`
944×	`associate-*r/`
848×	`unswap-sqr`
798×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	1547
1	404	1475
2	1549	1467

Stop Event

1×	node limit

Counts

83 → 109

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/12 (pow.f64 y 2)) (.f64 1/1440 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -1/24192 (pow.f64 y 6)) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 1 (/.f64 (sin.f64 y) y))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (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 (cbrt.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 (/.f64 1 y) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) 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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.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)))
(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)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))) 1)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(*.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/2))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 1))
(log1p.f64 (expm1.f64 (sqrt.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 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 (.f64 -1/6 y) y)))
(+.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 (.f64 -1/6 y) y)) (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))))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/12))
(fma.f64 (*.f64 y y) -1/12 1)
(+.f64 1 (+.f64 (.f64 -1/12 (pow.f64 y 2)) (.f64 1/1440 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/12 (.f64 y y) (.f64 (pow.f64 y 4) 1/1440)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/1440 (.f64 y (.f64 y -1/12))))
(+.f64 (fma.f64 (.f64 y y) -1/12 1) (.f64 (pow.f64 y 4) 1/1440))
(+.f64 1 (+.f64 (.f64 -1/24192 (pow.f64 y 6)) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/24192 (pow.f64 y 6) (fma.f64 -1/12 (.f64 y y) (.f64 (pow.f64 y 4) 1/1440))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/24192 (fma.f64 (pow.f64 y 4) 1/1440 (.f64 y (.f64 y -1/12)))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/24192 (fma.f64 (.f64 y y) -1/12 (.f64 (pow.f64 y 4) 1/1440))))
(-.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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.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 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 4))
(*.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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) 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)) (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 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.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) (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)
(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)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))) 1)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/2))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 1 y)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) 1/2)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) 2)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 3)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(fabs.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1/2))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 1))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(sqrt.f64 (/.f64 (sin.f64 y) y))

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (cbrt.f64 y))
✓	0.3b	(/.f64 (cbrt.f64 (*.f64 y y)) (sin.f64 y))
	0.5b	(cbrt.f64 y)
✓	33.7b	(cbrt.f64 (*.f64 y y))

Compiler

Compiled 56 to 18 computations (67.9% saved)

series2.0ms (0%)

Counts

3 → 0

Calls

9 calls:

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

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1962×	`add-sqr-sqrt`
1936×	`*-un-lft-identity`
1806×	`add-cube-cbrt`
1784×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	215	43
2	2624	43

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1480×	`associate-l`
1364×	`distribute-lft-in`
974×	`times-frac`
892×	`associate-/l*`
540×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	178	1565
1	402	1523
2	1285	1523
3	6315	1523

Stop Event

1×	node limit

Counts

81 → 97

Calls

Call 1

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

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

eval333.0ms (4.1%)

Compiler: Compiled 9006 to 4128 computations (54.2% saved)

prune121.0ms (1.5%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	567	5	572
Fresh	3	5	8
Picked	0	1	1
Done	1	6	7
Total	571	17	588

Error

Counts

588 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.7b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	16.7b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2))
▶	31.1b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
	34.3b	(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y)))
	1.3b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y))))
✓	34.3b	(.f64 (cosh.f64 x) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (cbrt.f64 (.f64 y y)) (sin.f64 y))))
▶	0.3b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	31.0b	(.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)))
▶	32.5b	(.f64 (cosh.f64 x) (+.f64 1 (.f64 y (*.f64 -1/6 y))))
✓	32.5b	(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
▶	0.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
▶	24.1b	(*.f64 (cosh.f64 x) (sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
✓	20.6b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	31.7b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 343 to 250 computations (27.1% saved)

localize14.0ms (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)

series31.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
31.0ms	y	@	0	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
0.0ms	y	@	inf	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
0.0ms	y	@	-inf	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

rewrite56.0ms (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	23
1	189	11
2	2461	11

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 (/.f64 1 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)))))))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1708×	`distribute-lft-in`
1458×	`associate-+r+`
1046×	`associate-+l+`
766×	`associate-*r/`
488×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	775
1	290	729
2	1015	709
3	4477	709

Stop Event

1×	node limit

Counts

47 → 54

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 (/.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)))

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

localize41.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 y (.f64 -1/6 y)))
✓	0.1b	(.f64 y (.f64 -1/6 y))
✓	0.3b	(*.f64 -1/6 y)

Compiler

Compiled 33 to 21 computations (36.4% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`add-sqr-sqrt`
1560×	`*-un-lft-identity`
1464×	`add-cube-cbrt`
1452×	`add-cbrt-cube`
1438×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	39
1	163	35
2	1958	35

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

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

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-+l+`
1010×	`unswap-sqr`
756×	`times-frac`
700×	`fma-def`
450×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1731
1	289	1595
2	1209	1359
3	6475	1359

Stop Event

1×	node limit

Counts

81 → 74

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

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))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 (*.f64 -1/6 y) y 1)
(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 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 (*.f64 -1/6 y) y 1)
(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 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(-.f64 (+.f64 1 (*.f64 -1/6 y)) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(pow.f64 (*.f64 -1/6 y) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2)
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3)
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(pow.f64 (pow.f64 (*.f64 -1/6 y) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(sqrt.f64 (.f64 1/36 (.f64 y y)))
(sqrt.f64 (.f64 (.f64 1/36 y) y))
(sqrt.f64 (.f64 y (.f64 y 1/36)))
(fabs.f64 (*.f64 -1/6 y))
(log.f64 (pow.f64 (exp.f64 -1/6) y))
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(cbrt.f64 (pow.f64 (*.f64 -1/6 y) 3))
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(expm1.f64 (log1p.f64 (*.f64 -1/6 y)))
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(exp.f64 (log.f64 (*.f64 -1/6 y)))
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(exp.f64 (.f64 (log.f64 (.f64 -1/6 y)) 1))
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(log1p.f64 (expm1.f64 (*.f64 -1/6 y)))
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 -1/6 y)
(-.f64 (fma.f64 y (*.f64 -1/6 y) 1) 1)
(.f64 -1/6 (.f64 y y))
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(.f64 -1/6 (.f64 y y))
(pow.f64 (sqrt.f64 (.f64 -1/6 (.f64 y y))) 2)
(.f64 -1/6 (.f64 y y))
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(.f64 -1/6 (.f64 y y))
(pow.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3) 1/3)
(.f64 -1/6 (.f64 y y))
(sqrt.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2))
(.f64 -1/6 (.f64 y y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) y) y))
(.f64 -1/6 (.f64 y y))
(cbrt.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3))
(.f64 -1/6 (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (*.f64 y y))) 1))
(.f64 -1/6 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(-.f64 (+.f64 1 (fma.f64 y (*.f64 -1/6 y) 1)) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 -1/6 (.f64 y y)))) (/.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (-.f64 1 (.f64 -1/6 (.f64 y y)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 1/6 (.f64 y y))))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 (.f64 1/6 y) y)))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 -1/6 (*.f64 y y) -1))
(.f64 1 (fma.f64 y (.f64 -1/6 y) 1))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(.f64 (fma.f64 y (.f64 -1/6 y) 1) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(.f64 (sqrt.f64 (fma.f64 y (.f64 -1/6 y) 1)) (sqrt.f64 (fma.f64 y (*.f64 -1/6 y) 1)))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(.f64 (cbrt.f64 (fma.f64 y (.f64 -1/6 y) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 -1/6 y) 1)) 2))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 -1/6 y) 1)) 2) (cbrt.f64 (fma.f64 y (*.f64 -1/6 y) 1)))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (/.f64 1 (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 1/6 (.f64 y y))))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 (.f64 1/6 y) y)))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 -1/6 (*.f64 y y) -1))
(.f64 (+.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (.f64 -1/6 (*.f64 y y))))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) 1) (+.f64 1 (+.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (.f64 y y) 3) 1) (-.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (fma.f64 -1/6 (.f64 y y) -1)))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 (*.f64 y y) 1/6 1)))
(/.f64 1 (/.f64 (-.f64 1 (.f64 -1/6 (.f64 y y))) (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2))))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 1/6 (.f64 y y))))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 (.f64 1/6 y) y)))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 -1/6 (*.f64 y y) -1))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (.f64 -1/6 (.f64 y y)))) (+.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 3))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) 1) (+.f64 1 (+.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (.f64 y y) 3) 1) (-.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (fma.f64 -1/6 (.f64 y y) -1)))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 (*.f64 y y) 1/6 1)))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (-.f64 1 (.f64 -1/6 (.f64 y y))))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 1/6 (.f64 y y))))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 (.f64 1/6 y) y)))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 -1/6 (*.f64 y y) -1))
(/.f64 (+.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (.f64 -1/6 (.f64 y y)))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) 1) (+.f64 1 (+.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (.f64 y y) 3) 1) (-.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (fma.f64 -1/6 (.f64 y y) -1)))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 (*.f64 y y) 1/6 1)))
(/.f64 (+.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 3)) (+.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (-.f64 1 (.f64 -1/6 (.f64 y y)))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) 1) (+.f64 1 (+.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (.f64 y y) 3) 1) (-.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (fma.f64 -1/6 (.f64 y y) -1)))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 (*.f64 y y) 1/6 1)))
(/.f64 (-.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) 1) (-.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 1/6 (.f64 y y))))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 (.f64 1/6 y) y)))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 -1/6 (*.f64 y y) -1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2))) (neg.f64 (-.f64 1 (.f64 -1/6 (.f64 y y)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 1/6 (.f64 y y))))
(/.f64 (-.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 2)) (+.f64 1 (.f64 (.f64 1/6 y) y)))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 -1/6 (*.f64 y y) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 -1/6 (.f64 y y)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (.f64 -1/6 (.f64 y y))))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3))) 1) (+.f64 1 (+.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (.f64 y y) 3) 1) (-.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 2) (fma.f64 -1/6 (.f64 y y) -1)))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 (*.f64 y y) 1/6 1)))
(pow.f64 (fma.f64 y (*.f64 -1/6 y) 1) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 -1/6 y) 1)) 2)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 -1/6 y) 1)) 3)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 -1/6 y) 1) 3) 1/3)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 -1/6 y) 1) 2))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(log.f64 (exp.f64 (fma.f64 y (*.f64 -1/6 y) 1)))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 -1/6 y) 1) 3))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 -1/6 y) 1)))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 -1/6 y) 1)))
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 1 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (sqrt.f64 (.f64 -1/6 (.f64 y y))) (sqrt.f64 (.f64 -1/6 (.f64 y y))) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 2) (cbrt.f64 (.f64 -1/6 (.f64 y y))) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)

localize11.0ms (0.1%)

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)

series0.0ms (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))

rewrite52.0ms (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 (0.8%)

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)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(pow.f64 (/.f64 y (sin.f64 y)) -2)
✓	15.5b	(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))

Compiler

Compiled 36 to 15 computations (58.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.7%)

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)))))))

simplify109.0ms (1.3%)

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)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
	0.3b	(/.f64 (sin.f64 y) (sqrt.f64 y))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`add-sqr-sqrt`
1804×	`*-un-lft-identity`
1686×	`add-cube-cbrt`
1662×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	166	11
2	2281	11

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.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 (pow.f64 y -1/2) (pow.f64 y -1/2)))))) (#(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) (sqrt.f64 y)) (pow.f64 y -1/2))))) (#(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 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (pow.f64 y -1/2)))))) (#(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 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 1 (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 1) (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (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) (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) 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) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) 1) (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (cbrt.f64 y)) (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 1 (/.f64 (sin.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 (sqrt.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)))))))

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1104×	`associate-+r+`
1008×	`associate-/l*`
986×	`associate-+l+`
848×	`associate-*r/`
578×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1105
1	357	1077
2	1221	1069
3	5922	1069

Stop Event

1×	node limit

Counts

55 → 72

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

eval107.0ms (1.3%)

Compiler: Compiled 6849 to 3311 computations (51.7% saved)

prune76.0ms (0.9%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	467	3	470
Fresh	1	4	5
Picked	0	1	1
Done	1	10	11
Total	469	18	487

Error

Counts

487 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.7b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	16.7b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2))
✓	31.1b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
	34.3b	(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y)))
	1.3b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 3)))
✓	0.3b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	31.0b	(.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 1/6 y))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	31.0b	(.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)))
✓	32.5b	(.f64 (cosh.f64 x) (+.f64 1 (.f64 y (*.f64 -1/6 y))))
✓	32.5b	(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	31.0b	(.f64 (cosh.f64 x) (.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (sin.f64 y))))
✓	0.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
✓	24.1b	(*.f64 (cosh.f64 x) (sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))
✓	20.6b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	31.7b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 224 to 166 computations (25.9% saved)

regimes65.0ms (0.8%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	x
14.0ms	y
13.0ms	(/.f64 (sin.f64 y) y)
12.0ms	(*.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 407 to 189 computations (53.6% saved)

regimes12.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	y
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
31.0b	1	`x`
31.0b	1	`y`
31.0b	1	`(cosh.f64 x)`

Compiler

Compiled 62 to 40 computations (35.5% saved)

regimes11.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
4.0ms	x
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
31.0b	1	`x`
31.0b	1	`y`
31.0b	1	`(cosh.f64 x)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes11.0ms (0.1%)

Accuracy

Total -1.0b remaining (-3.1%)

Threshold costs -1.0b (-3.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
3.0ms	x
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
31.7b	1	`x`
31.7b	1	`y`
31.7b	1	`(cosh.f64 x)`

Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
4×	`+-commutative`
2×	`*-rgt-identity`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	102
1	32	102

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

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

Compiler

Compiled 43 to 32 computations (25.6% saved)

soundness0.0ms (0%)

end49.0ms (0.6%)

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