Details

analyze59.0ms (0.8%)

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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample2.4s (31.3%)

Results

555.0ms	2507×	body	256	infinite
483.0ms	1010×	body	1024	valid
476.0ms	2641×	body	256	valid
465.0ms	1025×	body	1024	infinite
189.0ms	543×	body	512	infinite
175.0ms	528×	body	512	valid
1.0ms	2×	body	2048	valid

Bogosity

preprocess76.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1696×	`fma-def`
1456×	`unswap-sqr`
802×	`associate-/r/`
766×	`associate-*l/`
680×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	61	42
3	123	42
4	229	42
5	384	42
6	757	42
7	2237	42
8	4633	42
9	6037	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 (sin.f64 y) (/.f64 (cosh.f64 x) 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)

simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1974×	`fma-def`
1544×	`unswap-sqr`
734×	`associate-/l*`
726×	`times-frac`
576×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	35	21
3	67	21
4	121	21
5	201	21
6	393	21
7	1099	21
8	3165	21
9	3516	21
10	4036	21
11	5628	21
12	6398	21
13	7374	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

Accurracy

99.9%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize89.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 (sin.f64 y) y)

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (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)

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1284×	`pow1`
1180×	`add-exp-log`
1180×	`log1p-expm1-u`
1180×	`expm1-log1p-u`
1152×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	122	11
2	1571	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs
(-.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 (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 (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 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.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) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.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 (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)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(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)))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1602×	`fma-def`
1412×	`log-prod`
1052×	`associate-r`
954×	`associate-l`
510×	`log-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	818
1	220	640
2	685	458
3	4725	458

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

eval19.0ms (0.3%)

Compiler: Compiled 606 to 280 computations (53.8% saved)

prune13.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Accurracy

100.0%

Counts

48 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
✓	99.9%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶	66.4%	(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	48.7%	(.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))))
▶	45.9%	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	99.0%	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y))))
▶	99.8%	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
▶	67.8%	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 195 to 134 computations (31.3% saved)

localize90.0ms (1.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 y (sin.f64 y))
✓	99.8%	(pow.f64 (/.f64 y (sin.f64 y)) -1)

Compiler

Compiled 29 to 12 computations (58.6% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`pow1`
1476×	`add-exp-log`
1476×	`log1p-expm1-u`
1476×	`expm1-log1p-u`
1442×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	167	22
2	2039	22

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

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

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1160×	`log-prod`
1142×	`associate-*r/`
970×	`fma-neg`
878×	`associate-*l/`
736×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	1665
1	415	1459
2	1291	1287
3	7078	1287

Stop Event

1×	node limit

Counts

85 → 101

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

localize24.0ms (0.3%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize64.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(.f64 -1/6 (.f64 y y))

Compiler

Compiled 34 to 18 computations (47.1% saved)

series37.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
35.0ms	y	@	0	(.f64 -1/6 (.f64 y y))
1.0ms	y	@	inf	(.f64 -1/6 (.f64 y y))
0.0ms	y	@	-inf	(.f64 -1/6 (.f64 y y))

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`pow1`
1028×	`add-sqr-sqrt`
980×	`add-exp-log`
980×	`log1p-expm1-u`
980×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1386	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2120×	`log-prod`
1106×	`distribute-rgt-in`
1092×	`distribute-lft-in`
768×	`associate-r`
676×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	91	299
2	321	299
3	2105	299
4	6977	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

localize157.0ms (2.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(*.f64 (/.f64 1 y) (sin.f64 y))

Compiler

Compiled 28 to 15 computations (46.4% 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))

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`pow1`
1314×	`add-exp-log`
1314×	`log1p-expm1-u`
1314×	`expm1-log1p-u`
1282×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	156	11
2	1841	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 1 (/.f64 y (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 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.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) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(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)))

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1670×	`log-prod`
1244×	`fma-neg`
1118×	`fma-def`
648×	`associate-/l/`
478×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	419
1	155	415
2	449	407
3	2223	407
4	7350	407

Stop Event

1×	node limit

Counts

33 → 35

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

localize157.0ms (2.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (sin.f64 y))
✓	99.8%	(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
✓	99.8%	(/.f64 (sqrt.f64 (sin.f64 y)) y)

Compiler

Compiled 48 to 17 computations (64.6% saved)

series2.0ms (0%)

Counts

3 → 20

Calls

9 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1792×	`pow1`
1654×	`add-exp-log`
1654×	`log1p-expm1-u`
1654×	`expm1-log1p-u`
1616×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	206	35
2	2330	35

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

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

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1020×	`fma-def`
638×	`distribute-lft-neg-in`
618×	`cancel-sign-sub-inv`
612×	`distribute-rgt-neg-in`
594×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	2331
1	520	2153
2	2720	2015

Stop Event

1×	node limit

Counts

125 → 130

Calls

Call 1

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

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

eval143.0ms (1.9%)

Compiler: Compiled 4685 to 1988 computations (57.6% saved)

prune43.0ms (0.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	309	6	315
Fresh	1	1	2
Picked	1	0	1
Done	1	4	5
Total	312	11	323

Accurracy

100.0%

Counts

323 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.9%	(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
	46.0%	(.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (.f64 (pow.f64 (sin.f64 y) -1/2) y)))
▶	63.6%	(.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))))
✓	99.9%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶	99.9%	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
▶	66.4%	(.f64 (cosh.f64 x) (+.f64 1 (.f64 y (*.f64 -1/6 y))))
✓	66.4%	(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	48.7%	(.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))))
▶	63.6%	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y))))
✓	99.8%	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
✓	67.8%	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 246 to 166 computations (32.5% saved)

localize63.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(/.f64 y (sin.f64 y))
✓	99.8%	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 29 to 12 computations (58.6% 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)))

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`pow1`
1472×	`add-exp-log`
1472×	`log1p-expm1-u`
1472×	`expm1-log1p-u`
1436×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	163	11
2	2066	11

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (/.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 (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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (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 (sqrt.f64 (/.f64 y (sin.f64 y))) -1) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.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) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.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 (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 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(.f64 (.f64 (/.f64 1 y) 1) (sin.f64 y))
(.f64 (.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (neg.f64 y)) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 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)))

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1072×	`fma-def`
702×	`log-prod`
528×	`log-div`
438×	`associate-+r+`
434×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	625
1	271	621
2	822	607
3	3466	601

Stop Event

1×	node limit

Counts

47 → 52

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

localize49.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 y (.f64 -1/6 y))
✓	99.5%	(*.f64 -1/6 y)

Compiler

Compiled 34 to 22 computations (35.3% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`pow1`
1050×	`add-sqr-sqrt`
1002×	`add-exp-log`
1002×	`log1p-expm1-u`
1002×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	121	20
2	1373	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1438×	`exp-sum`
1108×	`log-prod`
1066×	`fma-def`
880×	`distribute-rgt-in`
856×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	508
1	134	442
2	532	376
3	2055	376
4	6580	376

Stop Event

1×	node limit

Counts

34 → 28

Calls

Call 1

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

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

localize76.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 (sin.f64 y) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
✓	99.5%	(.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y))
✓	99.1%	(cbrt.f64 y)
✓	51.1%	(cbrt.f64 (*.f64 y y))

Compiler

Compiled 48 to 11 computations (77.1% saved)

series10.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

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

rewrite86.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`pow1`
1618×	`add-exp-log`
1618×	`log1p-expm1-u`
1618×	`expm1-log1p-u`
1578×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	200	28
2	2276	28

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

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

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-*r/`
946×	`fma-def`
874×	`associate-*l/`
520×	`*-commutative`
514×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	1669
1	416	1449
2	1824	1225

Stop Event

1×	node limit

Counts

115 → 121

Calls

Call 1

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

localize143.0ms (1.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(/.f64 (sin.f64 y) (cbrt.f64 y))
✓	99.5%	(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
	99.1%	(cbrt.f64 y)
	51.1%	(cbrt.f64 (*.f64 y y))

Compiler

Compiled 57 to 19 computations (66.7% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`log-prod`
736×	`pow-prod-down`
588×	`pow-prod-up`
572×	`pow-exp`
422×	`pow-unpow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	240	26
2	3055	26

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1196×	`fma-def`
986×	`unswap-sqr`
564×	`distribute-lft-in`
560×	`div-sub`
536×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	2226
1	627	2144
2	2355	2136

Stop Event

1×	node limit

Counts

122 → 143

Calls

Call 1

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

localize86.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sqrt.f64 (sin.f64 y))
✓	99.9%	(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
✓	99.7%	(/.f64 y (sqrt.f64 (sin.f64 y)))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`pow1`
1652×	`add-exp-log`
1652×	`log1p-expm1-u`
1652×	`expm1-log1p-u`
1614×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	168	26
2	2273	26

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

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

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1796×	`fma-def`
1216×	`associate-/r*`
1118×	`associate-/l*`
792×	`associate-*r/`
738×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2134
1	442	1966
2	1558	1846
3	7448	1846

Stop Event

1×	node limit

Counts

90 → 109

Calls

Call 1

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

eval178.0ms (2.4%)

Compiler: Compiled 9578 to 3694 computations (61.4% saved)

prune133.0ms (1.8%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	621	3	624
Fresh	1	1	2
Picked	0	1	1
Done	1	7	8
Total	623	12	635

Accurracy

100.0%

Counts

635 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.9%	(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
▶	46.0%	(.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (.f64 (pow.f64 (sin.f64 y) -1/2) y)))
▶	99.0%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 3)))
▶	85.2%	(.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 y))))
✓	99.9%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	99.9%	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
▶	62.1%	(.f64 (cosh.f64 x) (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
✓	66.4%	(.f64 (cosh.f64 x) (+.f64 1 (.f64 y (*.f64 -1/6 y))))
✓	66.4%	(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
✓	63.6%	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y))))
✓	99.8%	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
✓	67.8%	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 149 to 105 computations (29.5% saved)

localize44.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(.f64 (.f64 y y) 1/6)
✓	98.7%	(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))
✓	89.4%	(.f64 (cosh.f64 x) (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))

Compiler

Compiled 45 to 26 computations (42.2% saved)

series9.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`log-prod`
732×	`pow-prod-down`
714×	`prod-diff`
656×	`fma-def`
616×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	274	59
2	3464	59

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

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

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

simplify157.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1954×	`fma-def`
1274×	`associate-*r/`
848×	`distribute-lft-in`
804×	`distribute-rgt-in`
508×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	5750
1	843	4766
2	2565	4424

Stop Event

1×	node limit

Counts

154 → 210

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (.f64 1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 -1/432 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6)))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (.f64 -648 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 8))))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6)))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (.f64 -648 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 8))))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/36 (pow.f64 y 4))))
(+.f64 (.f64 -1/216 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 6 (pow.f64 y 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(/.f64 6 (pow.f64 y 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 0 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) (cbrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))) 1)
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 1 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (cosh.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (cbrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (sqrt.f64 (cosh.f64 x))))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 (fma.f64 y (*.f64 y 1/6) 1) 2))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) 1) (.f64 2 (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) -1) (.f64 2 (neg.f64 (fma.f64 y (.f64 y 1/6) 1))))
(/.f64 (.f64 -1 (.f64 2 (cosh.f64 x))) (.f64 (neg.f64 (fma.f64 y (.f64 y 1/6) 1)) 2))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 (/.f64 (cosh.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))
(/.f64 (/.f64 (cosh.f64 x) 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (.f64 (cosh.f64 x) -1) (neg.f64 (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 (.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)) (*.f64 2 (cosh.f64 x))) 2)
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))) 2)
(/.f64 (.f64 -1 (cosh.f64 x)) (neg.f64 (fma.f64 y (.f64 y 1/6) 1)))
(pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 2)
(pow.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (cosh.f64 x)) -1)
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(exp.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(+.f64 0 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))) 1)
(.f64 1 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))
(.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)) 1)
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1))) (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -1/2) (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -1/2))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 y (.f64 y 1/6) 1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 y 6) 1/216 1)) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 -1/6 (*.f64 y y)))))
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -1)
(pow.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))) 3)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -3) 1/3)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) -2)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y 1/6) 1))) -1)
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(exp.f64 (neg.f64 (log1p.f64 (.f64 y (.f64 y 1/6)))))
(exp.f64 (.f64 (log1p.f64 (.f64 y (*.f64 y 1/6))) -1))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 y (*.f64 y 1/6)))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 y (.f64 y 1/6))) 1) -1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 y (.f64 y 1/6))) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (.f64 y (.f64 y 1/6)))) 1) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -3)) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (.f64 y (.f64 y 1/6)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(+.f64 0 (.f64 y (.f64 y 1/6)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))))
(-.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)
(pow.f64 (.f64 y (.f64 y 1/6)) 1)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 3)
(pow.f64 (*.f64 (pow.f64 y 4) 1/36) 1/2)
(pow.f64 (*.f64 (pow.f64 y 6) 1/216) 1/3)
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y 1/6)))))
(cbrt.f64 (*.f64 (pow.f64 y 6) 1/216))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y 1/6))))
(expm1.f64 (.f64 (log1p.f64 (.f64 y (*.f64 y 1/6))) 1))
(exp.f64 (log.f64 (.f64 y (.f64 y 1/6))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y 1/6))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 y 1/6))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 y 1/6)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y 6) 1/216)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 y 1/6))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 1/6))) 2))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y 1/6))))
(fma.f64 1 (fma.f64 y (*.f64 y 1/6) 1) -1)
(fma.f64 (fma.f64 y (*.f64 y 1/6) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2) (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) -1)
(fma.f64 (fma.f64 (pow.f64 y 6) 1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 -1/6 (.f64 y y))))) -1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (+.f64 1 (.f64 -1/6 (*.f64 y y)))) -1)

Outputs
(/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 x x) (fma.f64 y (.f64 1/6 y) 1))) (/.f64 1 (fma.f64 y (.f64 1/6 y) 1)))
(fma.f64 1/2 (/.f64 x (/.f64 (fma.f64 1/6 (.f64 y y) 1) x)) (/.f64 1 (fma.f64 1/6 (.f64 y y) 1)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 1/6 y) 1)) (+.f64 (.f64 1/2 (/.f64 (.f64 x x) (fma.f64 y (.f64 1/6 y) 1))) (/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/6 (.f64 y y) 1)) (fma.f64 1/2 (/.f64 x (/.f64 (fma.f64 1/6 (.f64 y y) 1) x)) (/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))))
(fma.f64 1/2 (/.f64 x (/.f64 (fma.f64 1/6 (.f64 y y) 1) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (.f64 1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 1/6 y) 1)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (fma.f64 y (.f64 1/6 y) 1)) (.f64 1/720 (/.f64 (pow.f64 x 6) (fma.f64 y (.f64 1/6 y) 1)))) (/.f64 1 (fma.f64 y (.f64 1/6 y) 1))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (fma.f64 1/6 (.f64 y y) 1) x)) (.f64 1/720 (/.f64 (pow.f64 x 6) (fma.f64 1/6 (.f64 y y) 1)))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/6 (.f64 y y) 1)) (fma.f64 1/2 (/.f64 x (/.f64 (fma.f64 1/6 (.f64 y y) 1) x)) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (fma.f64 1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 1/6 (.f64 y y) 1)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (.f64 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 (*.f64 y y) -1/12)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/72 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/72))))
(fma.f64 (.f64 y y) (fma.f64 -1/12 (exp.f64 x) (/.f64 -1/12 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 4) 1/72))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 -1/432 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/432 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (fma.f64 1/72 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/432 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/72)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (.f64 y y) -1/12) (.f64 (pow.f64 y 4) 1/72))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 (pow.f64 y 6) -1/432))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)))
(/.f64 (fma.f64 3 (exp.f64 x) (/.f64 3 (exp.f64 x))) (*.f64 y y))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y))))
(fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4))))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 3 (/.f64 -18 (*.f64 y y))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6)))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)))))
(fma.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 3 (/.f64 -18 (*.f64 y y)))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (.f64 -648 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 8))))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (.f64 -648 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 8))))))
(+.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 3 (/.f64 -18 (*.f64 y y)))) (fma.f64 -648 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 8)) (/.f64 (fma.f64 108 (exp.f64 x) (/.f64 108 (exp.f64 x))) (pow.f64 y 6))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)))
(/.f64 (fma.f64 3 (exp.f64 x) (/.f64 3 (exp.f64 x))) (*.f64 y y))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y))))
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(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 3))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))) 1/3))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 2))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 0 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 1/6 y) 1)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 1/6 y) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 1/6 y) 1))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 y (.f64 1/6 y) 1))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))) 1)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)) 1)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1))) (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -2)))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 y (.f64 1/6 y) 1))) (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 1/6 y) 1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) 1) -2)) (cbrt.f64 (fma.f64 1/6 (.f64 y y) 1)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 y (.f64 1/6 y) 1))) (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 1/6 y) 1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) 1) -2)) (cbrt.f64 (fma.f64 1/6 (.f64 y y) 1)))
(.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -1/2) (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -1/2))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 y (.f64 y 1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 y 6) 1/216 1)) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 -1/6 (*.f64 y y)))))
(.f64 (/.f64 1 (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 (+.f64 1 (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 1/36))) (fma.f64 (pow.f64 y 6) 1/216 1))
(/.f64 (fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/36 1)) (fma.f64 (pow.f64 y 6) 1/216 1))
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (+.f64 1 (.f64 (.f64 y y) -1/6)))
(/.f64 (fma.f64 (.f64 y y) -1/6 1) (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (fma.f64 (pow.f64 y 4) -1/36 1))
(pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -1)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(pow.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)) 1)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))) 3)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 1/6 y) 1) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -2) 1/2)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -3) 1/3)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) -2)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -1/2) 2)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y 1/6) 1))) -1)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -2))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -3))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (neg.f64 (log1p.f64 (.f64 y (.f64 y 1/6)))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log1p.f64 (.f64 y (*.f64 y 1/6))) -1))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 y (*.f64 y 1/6)))) 1))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 y (.f64 y 1/6))) 1) -1))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 y (.f64 y 1/6))) -1) 1))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (.f64 y (.f64 y 1/6)))) 1) 1))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)))) 3))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -3)) 1/3))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (.f64 y (.f64 y 1/6)))) 2))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 0 (.f64 y (.f64 y 1/6)))
(.f64 1/6 (.f64 y y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))))
(.f64 1/6 (.f64 y y))
(-.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)
(.f64 1/6 (.f64 y y))
(pow.f64 (.f64 y (.f64 y 1/6)) 1)
(.f64 1/6 (.f64 y y))
(pow.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 3)
(.f64 1/6 (.f64 y y))
(pow.f64 (*.f64 (pow.f64 y 4) 1/36) 1/2)
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(pow.f64 (*.f64 (pow.f64 y 6) 1/216) 1/3)
(.f64 1/6 (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(.f64 1/6 (.f64 y y))
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))
(.f64 1/6 (.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y 1/6)))))
(.f64 1/6 (.f64 y y))
(cbrt.f64 (*.f64 (pow.f64 y 6) 1/216))
(.f64 1/6 (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y 1/6))))
(.f64 1/6 (.f64 y y))
(expm1.f64 (.f64 (log1p.f64 (.f64 y (*.f64 y 1/6))) 1))
(.f64 1/6 (.f64 y y))
(exp.f64 (log.f64 (.f64 y (.f64 y 1/6))))
(.f64 1/6 (.f64 y y))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y 1/6))) 1))
(.f64 1/6 (.f64 y y))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 y 1/6))) 1) 1))
(.f64 1/6 (.f64 y y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 y 1/6)))) 3))
(.f64 1/6 (.f64 y y))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y 6) 1/216)) 1/3))
(.f64 1/6 (.f64 y y))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 y 1/6))) 3) 1/3))
(.f64 1/6 (.f64 y y))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 1/6))) 2))
(.f64 1/6 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y 1/6))))
(.f64 1/6 (.f64 y y))
(fma.f64 1 (fma.f64 y (*.f64 y 1/6) 1) -1)
(.f64 1/6 (.f64 y y))
(fma.f64 (fma.f64 y (*.f64 y 1/6) 1) 1 -1)
(.f64 1/6 (.f64 y y))
(fma.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2) -1)
(.f64 1/6 (.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2) (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) -1)
(.f64 1/6 (.f64 y y))
(fma.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) -1)
(fma.f64 (fma.f64 (pow.f64 y 6) 1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 -1/6 (.f64 y y))))) -1)
(fma.f64 (fma.f64 (pow.f64 y 6) 1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (.f64 y y) -1/6)))) -1)
(fma.f64 (fma.f64 (pow.f64 y 6) 1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 1/36)))) -1)
(+.f64 -1 (/.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))))
(fma.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (+.f64 1 (.f64 -1/6 (*.f64 y y)))) -1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) -1/6))) -1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (fma.f64 (.f64 y y) -1/6 1)) -1)
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y -1/6) 1)))

localize119.0ms (1.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 y (cbrt.f64 y))
✓	99.5%	(.f64 (sqrt.f64 (.f64 y (cbrt.f64 y))) (cbrt.f64 y))
	99.1%	(cbrt.f64 y)
✓	79.4%	(sqrt.f64 (*.f64 y (cbrt.f64 y)))

Compiler

Compiled 53 to 11 computations (79.2% saved)

series63.0ms (0.8%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	y	@	0	(sqrt.f64 (*.f64 y (cbrt.f64 y)))
15.0ms	y	@	0	(.f64 (sqrt.f64 (.f64 y (cbrt.f64 y))) (cbrt.f64 y))
1.0ms	y	@	-inf	(.f64 (sqrt.f64 (.f64 y (cbrt.f64 y))) (cbrt.f64 y))
1.0ms	y	@	-inf	(sqrt.f64 (*.f64 y (cbrt.f64 y)))
0.0ms	y	@	-inf	(*.f64 y (cbrt.f64 y))

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`pow1`
1064×	`add-exp-log`
1064×	`log1p-expm1-u`
1064×	`expm1-log1p-u`
1036×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	51
1	155	23
2	1892	23

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 y (cbrt.f64 y)))
(.f64 (sqrt.f64 (.f64 y (cbrt.f64 y))) (cbrt.f64 y))
(*.f64 y (cbrt.f64 y))

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

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1664×	`fma-def`
970×	`distribute-rgt-in`
908×	`distribute-lft-in`
860×	`unswap-sqr`
706×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	874
1	207	676
2	725	490
3	3087	490

Stop Event

1×	node limit

Counts

60 → 56

Calls

Call 1

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

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

localize105.0ms (1.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 3))
	99.1%	(cbrt.f64 y)
✓	98.8%	(pow.f64 (cbrt.f64 y) 3)

Compiler

Compiled 33 to 16 computations (51.5% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite75.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`pow1`
1532×	`add-exp-log`
1532×	`log1p-expm1-u`
1532×	`expm1-log1p-u`
1498×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	190	12
2	2111	12

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1634×	`log-div`
1582×	`fma-def`
1170×	`log-prod`
934×	`associate-/r*`
724×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	849
1	323	731
2	1071	609
3	5318	609

Stop Event

1×	node limit

Counts

65 → 71

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

localize120.0ms (1.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (sin.f64 y) -1/2)
	100.0%	(sqrt.f64 (sin.f64 y))
✓	99.9%	(/.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (pow.f64 (sin.f64 y) -1/2) y))
✓	99.8%	(*.f64 (pow.f64 (sin.f64 y) -1/2) y)

Compiler

Compiled 46 to 21 computations (54.3% saved)

series99.0ms (1.3%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
61.0ms	y	@	inf	(pow.f64 (sin.f64 y) -1/2)
22.0ms	y	@	-inf	(*.f64 (pow.f64 (sin.f64 y) -1/2) y)
13.0ms	y	@	-inf	(pow.f64 (sin.f64 y) -1/2)
1.0ms	y	@	inf	(*.f64 (pow.f64 (sin.f64 y) -1/2) y)
1.0ms	y	@	0	(pow.f64 (sin.f64 y) -1/2)

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`log-prod`
724×	`prod-exp`
616×	`pow-prod-down`
506×	`pow-prod-up`
482×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	59
1	211	39
2	2680	39

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

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

simplify124.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1098×	`fma-def`
1044×	`fma-neg`
966×	`associate-/l*`
562×	`associate-*r/`
552×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	3077
1	768	2961
2	2215	2611
3	7516	2611

Stop Event

1×	node limit

Counts

153 → 172

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (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)
(sqrt.f64 (/.f64 1 y))
(+.f64 (*.f64 1/12 (sqrt.f64 (pow.f64 y 3))) (sqrt.f64 (/.f64 1 y)))
(+.f64 (.f64 1/12 (sqrt.f64 (pow.f64 y 3))) (+.f64 (.f64 1/160 (sqrt.f64 (pow.f64 y 7))) (sqrt.f64 (/.f64 1 y))))
(+.f64 (.f64 1/12 (sqrt.f64 (pow.f64 y 3))) (+.f64 (.f64 1/160 (sqrt.f64 (pow.f64 y 7))) (+.f64 (*.f64 61/120960 (sqrt.f64 (pow.f64 y 11))) (sqrt.f64 (/.f64 1 y)))))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(+.f64 0 (*.f64 y (pow.f64 (sin.f64 y) -1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2)))) 1)
(pow.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2)) 1)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y)) 3)
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) y) 1/2)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) -3/2) (pow.f64 y 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/4)) 2)
(sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) y))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2)))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) -3/2) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 y (pow.f64 (sin.f64 y) -1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 y) -3/2) (pow.f64 y 3))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/4))) 2))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (pow.f64 (sin.f64 y) -1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1) (.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))))
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (pow.f64 (sin.f64 y) 1/6) (/.f64 (sqrt.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 (pow.f64 (sin.f64 y) 1/4) (.f64 (pow.f64 (sin.f64 y) 1/4) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (/.f64 1 (.f64 y (neg.f64 (pow.f64 (sin.f64 y) -1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) 3/4) (/.f64 (pow.f64 (sin.f64 y) 1/4) y))
(.f64 (/.f64 (cbrt.f64 (sin.f64 y)) 1) (/.f64 (pow.f64 (sin.f64 y) 1/6) (.f64 y (pow.f64 (sin.f64 y) -1/2))))
(.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) 1) (/.f64 (pow.f64 (sin.f64 y) 1/4) (.f64 y (pow.f64 (sin.f64 y) -1/2))))
(*.f64 (/.f64 1 y) (sin.f64 y))
(.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y)) -2) (/.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y))))
(.f64 (pow.f64 (.f64 y (pow.f64 (sin.f64 y) -1/2)) -1/2) (/.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/4))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (/.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) -1/2)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 (/.f64 y (sin.f64 y)) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/4))) (/.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/4))))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) y) (pow.f64 (sin.f64 y) 3/4))
(.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) (cbrt.f64 (.f64 (/.f64 y (sin.f64 y)) y))) (/.f64 (pow.f64 (sin.f64 y) 1/4) (*.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) 5/6) (/.f64 (pow.f64 (sin.f64 y) 1/6) y))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3/2) (*.f64 (pow.f64 (sin.f64 y) -3/2) (pow.f64 y 3))) 1/3)
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (*.f64 y (neg.f64 (pow.f64 (sin.f64 y) -1/2)))))
(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 (pow.f64 (sin.f64 y) 3/2) (*.f64 (pow.f64 (sin.f64 y) -3/2) (pow.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 (/.f64 (sin.f64 y) y)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2) (log.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1) (log.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y))))
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)) (*.f64 (log.f64 (sin.f64 y)) 1/2)))
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)) (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1)))
(exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 y) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 y)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) 1) (.f64 (log.f64 y) 1)))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (.f64 (log.f64 (.f64 y (pow.f64 (sin.f64 y) -1/2))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) 1/2) (log.f64 (.f64 y (pow.f64 (sin.f64 y) -1/2)))))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) 1/2) (.f64 (log.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1) (log.f64 (.f64 y (pow.f64 (sin.f64 y) -1/2)))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1) (.f64 (log.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))) 1)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(+.f64 0 (pow.f64 (sin.f64 y) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) -1/2))) 1)
(*.f64 (pow.f64 (sin.f64 y) -1/2) 1)
(*.f64 1 (pow.f64 (sin.f64 y) -1/2))
(*.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (pow.f64 (sin.f64 y) -1/6))
(*.f64 (pow.f64 (sin.f64 y) -1/4) (pow.f64 (sin.f64 y) -1/4))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) -1/6))
(/.f64 1 (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) -1/2))))
(cbrt.f64 (pow.f64 (sin.f64 y) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) -1/2)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 (sin.f64 y)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) -1/2))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -1/6)) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 y))) -1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -3/2)) 1/3))
(exp.f64 (.f64 (.f64 -1/4 (log.f64 (sin.f64 y))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) -1/4) 2))
(exp.f64 (+.f64 (.f64 -1/4 (log.f64 (sin.f64 y))) (.f64 (log.f64 (sin.f64 y)) -1/4)))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 y)) -1/4) (.f64 -1/4 (log.f64 (sin.f64 y)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 y)) -1/4) (.f64 (log.f64 (sin.f64 y)) -1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) -1/2)))

Outputs
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.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 y (*.f64 y -1/6) (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)
(sqrt.f64 (/.f64 1 y))
(+.f64 (*.f64 1/12 (sqrt.f64 (pow.f64 y 3))) (sqrt.f64 (/.f64 1 y)))
(fma.f64 1/12 (sqrt.f64 (pow.f64 y 3)) (sqrt.f64 (/.f64 1 y)))
(fma.f64 1/12 (fabs.f64 (pow.f64 y 3/2)) (sqrt.f64 (/.f64 1 y)))
(fma.f64 1/12 (pow.f64 y 3/2) (sqrt.f64 (/.f64 1 y)))
(+.f64 (.f64 1/12 (sqrt.f64 (pow.f64 y 3))) (+.f64 (.f64 1/160 (sqrt.f64 (pow.f64 y 7))) (sqrt.f64 (/.f64 1 y))))
(fma.f64 1/12 (sqrt.f64 (pow.f64 y 3)) (fma.f64 1/160 (sqrt.f64 (pow.f64 y 7)) (sqrt.f64 (/.f64 1 y))))
(fma.f64 1/12 (fabs.f64 (pow.f64 y 3/2)) (fma.f64 1/160 (sqrt.f64 (pow.f64 y 7)) (sqrt.f64 (/.f64 1 y))))
(fma.f64 1/12 (pow.f64 y 3/2) (fma.f64 1/160 (pow.f64 y 7/2) (sqrt.f64 (/.f64 1 y))))
(+.f64 (.f64 1/12 (sqrt.f64 (pow.f64 y 3))) (+.f64 (.f64 1/160 (sqrt.f64 (pow.f64 y 7))) (+.f64 (*.f64 61/120960 (sqrt.f64 (pow.f64 y 11))) (sqrt.f64 (/.f64 1 y)))))
(fma.f64 1/12 (sqrt.f64 (pow.f64 y 3)) (fma.f64 1/160 (sqrt.f64 (pow.f64 y 7)) (fma.f64 61/120960 (sqrt.f64 (pow.f64 y 11)) (sqrt.f64 (/.f64 1 y)))))
(fma.f64 1/12 (fabs.f64 (pow.f64 y 3/2)) (fma.f64 1/160 (sqrt.f64 (pow.f64 y 7)) (fma.f64 61/120960 (sqrt.f64 (pow.f64 y 11)) (sqrt.f64 (/.f64 1 y)))))
(fma.f64 1/12 (pow.f64 y 3/2) (fma.f64 1/160 (pow.f64 y 7/2) (fma.f64 61/120960 (pow.f64 y 11/2) (sqrt.f64 (/.f64 1 y)))))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(+.f64 0 (*.f64 y (pow.f64 (sin.f64 y) -1/2)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)) y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2)))) 1)
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(pow.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2)) 1)
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y)) 3)
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) y) 1/2)
(sqrt.f64 (*.f64 y (/.f64 y (sin.f64 y))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) -3/2) (pow.f64 y 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) -3/2)))
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/4)) 2)
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) y))
(sqrt.f64 (*.f64 y (/.f64 y (sin.f64 y))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)) y))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2)))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) -3/2) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) -3/2)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(exp.f64 (log.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 y (pow.f64 (sin.f64 y) -1/2))) 1))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))) 1) 1))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y))) 3))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 y) -3/2) (pow.f64 y 3))) 1/3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) -3/2)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/4))) 2))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (pow.f64 (sin.f64 y) -1/2))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) (*.f64 (log.f64 y) 1)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1) (log.f64 y)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1) (.f64 (log.f64 y) 1)))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 y (sqrt.f64 (sin.f64 y)))
(+.f64 0 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) 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 (cbrt.f64 (sin.f64 y)) (.f64 (pow.f64 (sin.f64 y) 1/6) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (pow.f64 (sin.f64 y) 1/6)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6)))
(*.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 (pow.f64 (sin.f64 y) 1/4) (.f64 (pow.f64 (sin.f64 y) 1/4) (/.f64 (sqrt.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 (neg.f64 (sqrt.f64 (sin.f64 y))) (/.f64 1 (.f64 y (neg.f64 (pow.f64 (sin.f64 y) -1/2)))))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (sin.f64 y) 3/4) (/.f64 (pow.f64 (sin.f64 y) 1/4) y))
(.f64 (/.f64 (cbrt.f64 (sin.f64 y)) 1) (/.f64 (pow.f64 (sin.f64 y) 1/6) (.f64 y (pow.f64 (sin.f64 y) -1/2))))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (pow.f64 (sin.f64 y) 1/6)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6)))
(.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) 1) (/.f64 (pow.f64 (sin.f64 y) 1/4) (.f64 y (pow.f64 (sin.f64 y) -1/2))))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y)) -2) (/.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y))))
(.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y)) -2) (pow.f64 (sin.f64 y) -1/6)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(.f64 (pow.f64 (.f64 y (pow.f64 (sin.f64 y) -1/2)) -1/2) (/.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/4))))
(.f64 (pow.f64 (.f64 y (pow.f64 (sin.f64 y) -1/2)) -1/2) (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (pow.f64 (sin.f64 y) -1/4)))
(.f64 (pow.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) -1/2) (/.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/4))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (/.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) -1/2)))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (pow.f64 (sin.f64 y) 1/6)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 (/.f64 y (sin.f64 y)) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y (/.f64 y (sin.f64 y))))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (.f64 y (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/4))) (/.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/4))))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (pow.f64 (sin.f64 y) 1/6)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) y) (pow.f64 (sin.f64 y) 3/4))
(*.f64 (pow.f64 (sin.f64 y) 3/4) (/.f64 (pow.f64 (sin.f64 y) 1/4) y))
(.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) (cbrt.f64 (.f64 (/.f64 y (sin.f64 y)) y))) (/.f64 (pow.f64 (sin.f64 y) 1/4) (*.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y))))
(.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) (cbrt.f64 (.f64 y (/.f64 y (sin.f64 y))))) (/.f64 (pow.f64 (sin.f64 y) 1/4) (*.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y))))
(/.f64 (/.f64 (pow.f64 (sin.f64 y) 1/2) (cbrt.f64 (.f64 y (/.f64 y (sin.f64 y))))) (.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (.f64 (.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 y)) (cbrt.f64 (*.f64 y (/.f64 y (sin.f64 y))))))
(*.f64 (pow.f64 (sin.f64 y) 5/6) (/.f64 (pow.f64 (sin.f64 y) 1/6) y))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.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) 2) 1/2)
(/.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 (/.f64 y (sin.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3/2) (*.f64 (pow.f64 (sin.f64 y) -3/2) (pow.f64 y 3))) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3/2) (*.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) -3/2))))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sin.f64 y) -3/2)) (pow.f64 y 3)))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) 1) -1)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (*.f64 y (neg.f64 (pow.f64 (sin.f64 y) -1/2)))))
(/.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)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3/2) (*.f64 (pow.f64 (sin.f64 y) -3/2) (pow.f64 y 3))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3/2) (*.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) -3/2))))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sin.f64 y) -3/2)) (pow.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 (/.f64 (sin.f64 y) y)) 1))
(/.f64 (sin.f64 y) y)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 1))
(/.f64 (sin.f64 y) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3))
(/.f64 (sin.f64 y) y)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3))
(/.f64 (sin.f64 y) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2))
(/.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 (log.f64 (sin.f64 y)) 1/2) (log.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y))))
(/.f64 (sin.f64 y) y)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1) (log.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y))))
(/.f64 (sin.f64 y) y)
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)) (*.f64 (log.f64 (sin.f64 y)) 1/2)))
(/.f64 (sin.f64 y) y)
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)) (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1)))
(/.f64 (sin.f64 y) y)
(exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 y) 1)))
(/.f64 (sin.f64 y) y)
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) 1) (.f64 (log.f64 y) 1)))
(/.f64 (sin.f64 y) y)
(exp.f64 (-.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (.f64 (log.f64 (.f64 y (pow.f64 (sin.f64 y) -1/2))) 1)))
(/.f64 (sin.f64 y) y)
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) 1/2) (log.f64 (.f64 y (pow.f64 (sin.f64 y) -1/2)))))
(/.f64 (sin.f64 y) y)
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) 1/2) (.f64 (log.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))) 1)))
(/.f64 (sin.f64 y) y)
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1) (log.f64 (.f64 y (pow.f64 (sin.f64 y) -1/2)))))
(/.f64 (sin.f64 y) y)
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1) (.f64 (log.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2))) 1)))
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(+.f64 0 (pow.f64 (sin.f64 y) -1/2))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) -1/2))) 1)
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(*.f64 (pow.f64 (sin.f64 y) -1/2) 1)
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(*.f64 1 (pow.f64 (sin.f64 y) -1/2))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(*.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (pow.f64 (sin.f64 y) -1/6))
(*.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) -1/4) (pow.f64 (sin.f64 y) -1/4))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) -1/6))
(*.f64 (pow.f64 (sin.f64 y) -1/6) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 (sin.f64 y) -1/6) (cbrt.f64 (sin.f64 y)))
(/.f64 1 (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 y) -1/2)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) -1/2))))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(cbrt.f64 (pow.f64 (sin.f64 y) -3/2))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) -1/2)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 (sin.f64 y)))))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) -1/2))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (sin.f64 y) -1/2)) 1) 1))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -1/6)) 3))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 y))) -1/4))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -3/2)) 1/3))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (.f64 (.f64 -1/4 (log.f64 (sin.f64 y))) 2))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) -1/4) 2))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (+.f64 (.f64 -1/4 (log.f64 (sin.f64 y))) (.f64 (log.f64 (sin.f64 y)) -1/4)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 y)) -1/4) (.f64 -1/4 (log.f64 (sin.f64 y)))))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 y)) -1/4) (.f64 (log.f64 (sin.f64 y)) -1/4)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) -1/2)))
(sqrt.f64 (/.f64 1 (sin.f64 y)))
(pow.f64 (sin.f64 y) -1/2)

eval232.0ms (3.1%)

Compiler: Compiled 10536 to 5457 computations (48.2% saved)

prune181.0ms (2.4%)

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	621	4	625
Fresh	0	0	0
Picked	0	1	1
Done	1	10	11
Total	622	15	637

Accurracy

100.0%

Counts

637 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.0%	(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
	28.0%	(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
✓	45.9%	(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
✓	46.0%	(.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (.f64 (pow.f64 (sin.f64 y) -1/2) y)))
✓	99.0%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 3)))
✓	85.2%	(.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 y))))
✓	99.9%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	37.5%	(.f64 (cosh.f64 x) (/.f64 6 (.f64 y y)))
✓	99.9%	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	62.5%	(.f64 (cosh.f64 x) (/.f64 1 (+.f64 1 (+.f64 0 (.f64 y (*.f64 y 1/6))))))
✓	66.4%	(.f64 (cosh.f64 x) (+.f64 1 (.f64 y (*.f64 -1/6 y))))
✓	66.4%	(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
✓	63.6%	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y))))
✓	99.8%	(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
✓	67.8%	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 181 to 130 computations (28.2% saved)

regimes68.0ms (0.9%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 (cosh.f64 x) 1)
(.f64 (cosh.f64 x) (/.f64 6 (.f64 y y)))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 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 1 (+.f64 1 (+.f64 0 (.f64 y (*.f64 y 1/6))))))
(*.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) (pow.f64 (/.f64 y (sin.f64 y)) -1))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 3)))
(.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))))
(.f64 (cosh.f64 x) (.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y))))
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
(.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (.f64 (pow.f64 (sin.f64 y) -1/2) y)))
(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 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 (/.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:

30.0ms	(/.f64 (sin.f64 y) y)
11.0ms	x
10.0ms	y
9.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(cosh.f64 x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
99.9%	1	`(cosh.f64 x)`
99.9%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 259 to 126 computations (51.4% saved)

regimes21.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 (cosh.f64 x) 1)
(.f64 (cosh.f64 x) (/.f64 6 (.f64 y y)))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 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 1 (+.f64 1 (+.f64 0 (.f64 y (*.f64 y 1/6))))))

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

Calls

3 calls:

11.0ms	y
5.0ms	x
3.0ms	(cosh.f64 x)

Results

Accuracy	Segments	Branch
67.8%	1	`x`
71.3%	2	`y`
67.8%	1	`(cosh.f64 x)`

Compiler

Compiled 86 to 55 computations (36% saved)

bsearch29.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.3298362624026477e+155	7.691245520359753e+155

Results

14.0ms	37×	body	1024	valid
13.0ms	43×	body	1024	infinite

Compiler

Compiled 114 to 90 computations (21.1% saved)

regimes12.0ms (0.2%)

Accuracy

Total -41.5b remaining (-201.8%)

Threshold costs -41.5b (-201.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.8%	1	`x`
67.8%	1	`y`
67.8%	1	`(cosh.f64 x)`

Compiler

Compiled 40 to 27 computations (32.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
2×	`*-rgt-identity`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	30	69

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y 699999999999999969297785102059447928576066563012923310096809244520697332807612110771083959542298597983763492010170560511221108748411106792576396326072221696) (*.f64 (cosh.f64 x) 1) (*.f64 (cosh.f64 x) (+.f64 1 (*.f64 -1/6 (*.f64 y y)))))

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

Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(if (<=.f64 y 699999999999999969297785102059447928576066563012923310096809244520697332807612110771083959542298597983763492010170560511221108748411106792576396326072221696) (.f64 (cosh.f64 x) 1) (.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y)))))
(if (<=.f64 y 699999999999999969297785102059447928576066563012923310096809244520697332807612110771083959542298597983763492010170560511221108748411106792576396326072221696) (cosh.f64 x) (.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y)))))
(*.f64 (cosh.f64 x) 1)
(cosh.f64 x)

Compiler

Compiled 31 to 21 computations (32.3% saved)

soundness100.0ms (1.3%)

Rules

1602×	`fma-def`
1412×	`log-prod`
1052×	`associate-r`
954×	`associate-l`
510×	`log-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	818
1	220	640
2	685	458
3	4725	458

Stop Event

1×	node limit

Compiler

Compiled 22 to 16 computations (27.3% saved)

end98.0ms (1.3%)

Compiler: Compiled 90 to 54 computations (40% saved)

Details

analyze59.0ms (0.8%)

sample2.4s (31.3%)

preprocess76.0ms (1%)

simplify105.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize89.0ms (1.2%)

series2.0ms (0%)

rewrite56.0ms (0.7%)

simplify55.0ms (0.7%)

eval19.0ms (0.3%)

prune13.0ms (0.2%)

localize90.0ms (1.2%)

series3.0ms (0%)

rewrite65.0ms (0.9%)

simplify75.0ms (1%)

localize24.0ms (0.3%)

localize64.0ms (0.8%)

series37.0ms (0.5%)

rewrite50.0ms (0.7%)

simplify57.0ms (0.8%)

localize157.0ms (2.1%)

series0.0ms (0%)

rewrite67.0ms (0.9%)

simplify66.0ms (0.9%)

localize157.0ms (2.1%)

series2.0ms (0%)

rewrite71.0ms (0.9%)

simplify72.0ms (1%)

eval143.0ms (1.9%)

prune43.0ms (0.6%)

localize63.0ms (0.8%)

series0.0ms (0%)

rewrite60.0ms (0.8%)

simplify51.0ms (0.7%)

localize49.0ms (0.6%)

series1.0ms (0%)

rewrite92.0ms (1.2%)

simplify62.0ms (0.8%)

localize76.0ms (1%)

series10.0ms (0.1%)

rewrite86.0ms (1.1%)

simplify68.0ms (0.9%)

localize143.0ms (1.9%)

series2.0ms (0%)

rewrite90.0ms (1.2%)

simplify61.0ms (0.8%)

localize86.0ms (1.1%)

series2.0ms (0%)

rewrite64.0ms (0.8%)

simplify76.0ms (1%)

eval178.0ms (2.4%)

prune133.0ms (1.8%)

localize44.0ms (0.6%)

series9.0ms (0.1%)

rewrite83.0ms (1.1%)

simplify157.0ms (2.1%)

localize119.0ms (1.6%)

series63.0ms (0.8%)

rewrite60.0ms (0.8%)

simplify62.0ms (0.8%)

localize105.0ms (1.4%)

series3.0ms (0%)

rewrite75.0ms (1%)

simplify58.0ms (0.8%)

localize120.0ms (1.6%)

series99.0ms (1.3%)

rewrite79.0ms (1%)

simplify124.0ms (1.6%)

eval232.0ms (3.1%)

prune181.0ms (2.4%)

regimes68.0ms (0.9%)

regimes21.0ms (0.3%)

bsearch29.0ms (0.4%)

regimes12.0ms (0.2%)

simplify7.0ms (0.1%)

soundness100.0ms (1.3%)

end98.0ms (1.3%)

Profiling