Details

analyze364.0ms (4.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	8
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	9
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.8s (33.2%)

Results

1.2s	2094×	body	1024	valid
1.1s	5124×	body	256	valid
392.0ms	1031×	body	512	valid
32.0ms	7×	body	2048	valid

Bogosity

preprocess62.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

780×	`fma-def`
488×	`associate-r`
310×	`associate--r+`
264×	`associate-+r+`
254×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	56	108
2	99	108
3	166	108
4	255	108
5	452	108
6	821	108
7	1422	108
8	2069	108
9	2618	108
10	2644	108
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 y (cos.f64 x)) (.f64 z (sin.f64 x)))
(-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (.f64 y (cos.f64 x)) (.f64 z (sin.f64 x)))
(-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

222×	`fma-def`
106×	`associate-r`
100×	`+-commutative`
98×	`associate--r+`
82×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 y)
✓	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(*.f64 z (sin.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0.1%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 z (sin.f64 y))
1.0ms	x	@	-inf	(*.f64 x (cos.f64 y))
1.0ms	x	@	0	(*.f64 x (cos.f64 y))
0.0ms	y	@	0	(*.f64 z (sin.f64 y))
0.0ms	x	@	inf	(*.f64 x (cos.f64 y))

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`add-sqr-sqrt`
1828×	`*-un-lft-identity`
1678×	`add-cube-cbrt`
1650×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	193	27
2	2278	27

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
(sin.f64 y)

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

Outputs

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

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

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

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

898×	`unswap-sqr`
726×	`log-prod`
646×	`fma-def`
592×	`+-commutative`
490×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	960
1	328	940
2	1267	908
3	4438	906
4	7701	906

Stop Event

1×	node limit

Counts

76 → 86

Calls

Call 1

Inputs
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))

Outputs
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 1/120 (.f64 z (pow.f64 y 5))))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) y))))
(*.f64 z (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(fma.f64 x (.f64 y (.f64 y -1/2)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (*.f64 y x)) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (.f64 y y)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (.f64 y x)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 1/24 (pow.f64 y 4))) (fma.f64 x (.f64 y (*.f64 y -1/2)) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4)))))
(.f64 x (+.f64 (fma.f64 -1/720 (pow.f64 y 6) (.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 y y) 1)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(*.f64 (cos.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)

eval19.0ms (0.2%)

Compiler: Compiled 1334 to 602 computations (54.9% saved)

prune20.0ms (0.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	76	10	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	11	87

Error

0.1b

Counts

87 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	32.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	23.9b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
▶	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
	9.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
▶	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
▶	34.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (exp.f64 (log.f64 (sin.f64 y)))))
	4.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	25.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
▶	16.1b	(-.f64 x (*.f64 z (sin.f64 y)))

Compiler

Compiled 284 to 202 computations (28.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(expm1.f64 (log1p.f64 (sin.f64 y)))
✓	0.1b	(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))
✓	0.4b	(log1p.f64 (sin.f64 y))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series42.0ms (0.5%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	y	@	inf	(log1p.f64 (sin.f64 y))
19.0ms	y	@	-inf	(log1p.f64 (sin.f64 y))
0.0ms	y	@	0	(log1p.f64 (sin.f64 y))
0.0ms	y	@	0	(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))
0.0ms	z	@	0	(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1436×	`*-un-lft-identity`
1324×	`add-cube-cbrt`
1304×	`add-cbrt-cube`
1288×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	173	25
2	1815	25

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs
(log1p.f64 (sin.f64 y))
(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))
(expm1.f64 (log1p.f64 (sin.f64 y)))

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

Outputs

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

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

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1106×	`fma-def`
960×	`unswap-sqr`
784×	`associate-*r/`
652×	`+-commutative`
548×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1106
1	350	1082
2	1495	1052
3	5508	1052

Stop Event

1×	node limit

Counts

96 → 90

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(-.f64 (+.f64 1 (log1p.f64 (sin.f64 y))) 1)
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(*.f64 1 (log1p.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(log.f64 (+.f64 (sin.f64 y) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (+.f64 (sin.f64 y) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (.f64 (+.f64 (sin.f64 y) 1) 1))))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))

Outputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(fma.f64 -1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y -1/2) y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (fma.f64 -1/2 (.f64 y y) y) (.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) y) (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/12 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/12 (pow.f64 y 4) y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 y))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 1/120 (.f64 z (pow.f64 y 5))))))
(+.f64 (.f64 z (fma.f64 (pow.f64 y 3) -1/6 y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) y))))
(*.f64 z (fma.f64 1/120 (pow.f64 y 5) (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 (pow.f64 y 3) -1/6 y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(-.f64 (+.f64 1 (log1p.f64 (sin.f64 y))) 1)
(log1p.f64 (sin.f64 y))
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(*.f64 1 (log1p.f64 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(log1p.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(log1p.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(log1p.f64 (sin.f64 y))
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(log1p.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 (sin.f64 y) 1))
(log1p.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(log1p.f64 (sin.f64 y))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 (sin.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 (sin.f64 y) z)
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (+.f64 (sin.f64 y) 1) 1))
(sin.f64 y)
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (.f64 (+.f64 (sin.f64 y) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) -1) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y)))))
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(*.f64 z (sin.f64 y))

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (exp.f64 (log.f64 (sin.f64 y))))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.4b	(log.f64 (sin.f64 y))
✓	1.5b	(exp.f64 (log.f64 (sin.f64 y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series37.0ms (0.4%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	y	@	-inf	(log.f64 (sin.f64 y))
10.0ms	y	@	inf	(log.f64 (sin.f64 y))
0.0ms	y	@	0	(log.f64 (sin.f64 y))
0.0ms	y	@	0	(exp.f64 (log.f64 (sin.f64 y)))
0.0ms	y	@	0	(*.f64 z (exp.f64 (log.f64 (sin.f64 y))))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`add-sqr-sqrt`
1410×	`*-un-lft-identity`
1296×	`add-cube-cbrt`
1276×	`add-cbrt-cube`
1260×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	164	25
2	1774	25

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(exp.f64 (log.f64 (sin.f64 y)))
(log.f64 (sin.f64 y))
(*.f64 z (exp.f64 (log.f64 (sin.f64 y))))

Outputs

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

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

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

simplify129.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

962×	`unswap-sqr`
876×	`fma-def`
842×	`*-commutative`
608×	`associate-*r/`
520×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1021
1	334	993
2	1419	973
3	4758	973

Stop Event

1×	node limit

Counts

91 → 89

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(log.f64 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4))))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2)) (cbrt.f64 (log.f64 (sin.f64 y))))
(pow.f64 (exp.f64 1) (log.f64 (sin.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 y)))) (sqrt.f64 (log.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(+.f64 0 (log.f64 (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (log.f64 (cbrt.f64 (sin.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (log.f64 (sqrt.f64 (sin.f64 y))))
(-.f64 (+.f64 1 (log.f64 (sin.f64 y))) 1)
(*.f64 (log.f64 (sin.f64 y)) 1)
(*.f64 1 (log.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (log.f64 (sin.f64 y))) (sqrt.f64 (log.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (log.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2) (cbrt.f64 (log.f64 (sin.f64 y))))
(pow.f64 (log.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (log.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sin.f64 y))))
(exp.f64 (log.f64 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sin.f64 y))) 1))
(log1p.f64 (-.f64 (sin.f64 y) 1))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(log.f64 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y))
(fma.f64 -1/6 (*.f64 y y) (log.f64 y))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (log.f64 y)) (.f64 -1/180 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y)))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4)))))
(fma.f64 -1/6 (.f64 y y) (fma.f64 -1/2835 (pow.f64 y 6) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4)))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/2835 (pow.f64 y 6) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y))))
(fma.f64 y (*.f64 y -1/6) (fma.f64 -1/180 (pow.f64 y 4) (fma.f64 -1/2835 (pow.f64 y 6) (log.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(sin.f64 y)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2)) (cbrt.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(pow.f64 (exp.f64 1) (log.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 y)))) (sqrt.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(+.f64 0 (log.f64 (sin.f64 y)))
(log.f64 (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (log.f64 (cbrt.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (log.f64 (sqrt.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(-.f64 (+.f64 1 (log.f64 (sin.f64 y))) 1)
(log.f64 (sin.f64 y))
(*.f64 (log.f64 (sin.f64 y)) 1)
(log.f64 (sin.f64 y))
(*.f64 1 (log.f64 (sin.f64 y)))
(log.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (log.f64 (sin.f64 y))) (sqrt.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (log.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2))
(log.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2) (cbrt.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(pow.f64 (log.f64 (sin.f64 y)) 1)
(log.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (log.f64 (sin.f64 y))) 2)
(log.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 3)
(log.f64 (sin.f64 y))
(pow.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) 1/3)
(log.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 2))
(log.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 3))
(log.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(exp.f64 (log.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (log.f64 (sin.f64 y))) 1))
(log.f64 (sin.f64 y))
(log1p.f64 (-.f64 (sin.f64 y) 1))
(log1p.f64 (+.f64 (sin.f64 y) -1))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)

localize48.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
✓	0.3b	(log1p.f64 (expm1.f64 (sin.f64 y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(expm1.f64 (sin.f64 y))
0.0ms	y	@	inf	(expm1.f64 (sin.f64 y))
0.0ms	y	@	-inf	(expm1.f64 (sin.f64 y))
0.0ms	y	@	0	(log1p.f64 (expm1.f64 (sin.f64 y)))
0.0ms	y	@	0	(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))

rewrite72.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1436×	`*-un-lft-identity`
1324×	`add-cube-cbrt`
1304×	`add-cbrt-cube`
1288×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	172	25
2	1814	25

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (sin.f64 y)))
(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))

Outputs

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

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

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-/l*`
954×	`unswap-sqr`
852×	`fma-def`
768×	`associate-/r*`
584×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1116
1	340	1088
2	1461	1058
3	5029	1058

Stop Event

1×	node limit

Counts

96 → 87

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (exp.f64 (sin.f64 y)) -1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 (expm1.f64 (sin.f64 y)) 1)
(*.f64 1 (expm1.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (.f64 (exp.f64 (sin.f64 y)) 1))))
(pow.f64 (expm1.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (.f64 1/2 (.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y))))
(+.f64 (fma.f64 1/2 (.f64 y y) y) (.f64 -1/8 (pow.f64 y 4)))
(fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) y))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 5) -1/15))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 (pow.f64 y 5) -1/15 (.f64 y (.f64 y 1/2)))))
(+.f64 y (fma.f64 y (.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) (.f64 (pow.f64 y 5) -1/15))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(+.f64 (exp.f64 (sin.f64 y)) -1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(*.f64 (expm1.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(*.f64 1 (expm1.f64 (sin.f64 y)))
(expm1.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))
(expm1.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))
(expm1.f64 (sin.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (.f64 (exp.f64 (sin.f64 y)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) -1) (+.f64 (exp.f64 (+.f64 (sin.f64 y) (sin.f64 y))) (+.f64 (exp.f64 (sin.f64 y)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 y)) 3)) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (exp.f64 (*.f64 (sin.f64 y) 2)))))
(/.f64 (expm1.f64 (*.f64 3 (sin.f64 y))) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 y)) 2))))
(pow.f64 (expm1.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)
(expm1.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)
(expm1.f64 (sin.f64 y))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)
(expm1.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))
(expm1.f64 (sin.f64 y))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))
(expm1.f64 (sin.f64 y))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1))
(expm1.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3))
✓	0.6b	(cbrt.f64 (sin.f64 y))
✓	0.7b	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series30.0ms (0.4%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
0.0ms	z	@	inf	(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3))
0.0ms	y	@	inf	(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`add-sqr-sqrt`
1616×	`*-un-lft-identity`
1516×	`add-cube-cbrt`
1496×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	202	25
2	2133	25

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(cbrt.f64 (sin.f64 y))
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3))

Outputs

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

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

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

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1712×	`fma-def`
626×	`log-prod`
568×	`+-commutative`
436×	`*-commutative`
432×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	953
1	292	947
2	1059	925
3	3088	911
4	7542	911

Stop Event

1×	node limit

Counts

97 → 79

Calls

Call 1

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

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

eval182.0ms (2.2%)

Compiler: Compiled 8384 to 3602 computations (57% saved)

prune119.0ms (1.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	510	11	521
Fresh	3	2	5
Picked	1	0	1
Done	3	2	5
Total	517	15	532

Error

0.1b

Counts

532 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	32.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	9.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y)))))))
▶	9.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1)))
▶	9.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (+.f64 1 (-.f64 (sin.f64 y) 1))))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	25.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
▶	33.4b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	16.6b	(-.f64 x (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
	34.8b	(-.f64 x (.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) y)))
✓	16.1b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	25.2b	(-.f64 x (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
	16.1b	(-.f64 x (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
	40.5b	(-.f64 x (*.f64 z (exp.f64 (log.f64 (sin.f64 y)))))
	20.6b	(-.f64 x (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
▶	33.7b	(-.f64 x (*.f64 z y))

Compiler

Compiled 379 to 274 computations (27.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(*.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1))
✓	0.6b	(+.f64 (sin.f64 y) 1)
✓	3.0b	(-.f64 (+.f64 (sin.f64 y) 1) 1)

Compiler

Compiled 46 to 24 computations (47.8% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2028×	`add-sqr-sqrt`
2012×	`*-un-lft-identity`
1876×	`add-cube-cbrt`
214×	`pow1`
202×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	212	27
2	2820	27

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(+.f64 (sin.f64 y) 1)
(*.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1))

Outputs

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

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

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

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1680×	`associate-/l*`
1168×	`associate-/r*`
920×	`associate-*r/`
806×	`*-commutative`
526×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	2495
1	551	2427
2	2587	2287

Stop Event

1×	node limit

Counts

149 → 149

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(*.f64 z (+.f64 1 (-.f64 (sin.f64 y) 1)))
✓	0.4b	(-.f64 (sin.f64 y) 1)
✓	3.1b	(+.f64 1 (-.f64 (sin.f64 y) 1))

Compiler

Compiled 46 to 24 computations (47.8% saved)

series1.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite108.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`associate-*r/`
890×	`associate-*l/`
862×	`*-commutative`
646×	`distribute-lft-in`
600×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	216	27
2	2947	27

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

Inputs
(+.f64 1 (-.f64 (sin.f64 y) 1))
(-.f64 (sin.f64 y) 1)
(*.f64 z (+.f64 1 (-.f64 (sin.f64 y) 1)))

Outputs

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

simplify219.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

942×	`+-commutative`
686×	`associate-/l*`
666×	`associate-r`
652×	`associate-l`
606×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	561	10415
1	1538	9885
2	7078	9867

Stop Event

1×	node limit

Counts

263 → 360

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(exp.f64 (sin.f64 y))
✓	0.1b	(*.f64 z (log.f64 (exp.f64 (sin.f64 y))))
✓	3.1b	(log.f64 (exp.f64 (sin.f64 y)))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series1.0ms (0%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(log.f64 (exp.f64 (sin.f64 y)))
0.0ms	y	@	0	(*.f64 z (log.f64 (exp.f64 (sin.f64 y))))
0.0ms	y	@	0	(exp.f64 (sin.f64 y))
0.0ms	y	@	-inf	(exp.f64 (sin.f64 y))
0.0ms	y	@	inf	(exp.f64 (sin.f64 y))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`add-sqr-sqrt`
1410×	`*-un-lft-identity`
1296×	`add-cube-cbrt`
1276×	`add-cbrt-cube`
1260×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	165	25
2	1775	25

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(log.f64 (exp.f64 (sin.f64 y)))
(*.f64 z (log.f64 (exp.f64 (sin.f64 y))))
(exp.f64 (sin.f64 y))

Outputs

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

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

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1122×	`unswap-sqr`
838×	`fma-def`
804×	`associate-*r/`
666×	`associate-*l/`
480×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1089
1	324	1065
2	1364	927
3	5266	927

Stop Event

1×	node limit

Counts

91 → 87

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
1
(+.f64 1 y)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 0 (sin.f64 y))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (exp.f64 (sin.f64 y))) 1)
(*.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 1 (exp.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2) (cbrt.f64 (exp.f64 (sin.f64 y))))
(pow.f64 (exp.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (sin.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 y))))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 (+.f64 y 1) (.f64 1/2 (.f64 y y)))
(+.f64 1 (fma.f64 1/2 (*.f64 y y) y))
(+.f64 y (fma.f64 y (*.f64 y 1/2) 1))
(+.f64 1 (+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 y 1) (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y))))
(+.f64 y (+.f64 1 (fma.f64 -1/8 (pow.f64 y 4) (.f64 y (.f64 y 1/2)))))
(+.f64 1 (fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(+.f64 0 (sin.f64 y))
(sin.f64 y)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(-.f64 (+.f64 1 (exp.f64 (sin.f64 y))) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (exp.f64 (sin.f64 y)) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 1 (exp.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2) (cbrt.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (sin.f64 y)) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) 2)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 3)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1/3)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 1) (sin.f64 y))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(log.f64 (exp.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(*.f64 z (sin.f64 y))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	5.9b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series7.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`add-sqr-sqrt`
1574×	`*-un-lft-identity`
1458×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1424×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	200	26
2	2036	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)

Outputs

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

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-+r+`
1180×	`distribute-lft-in`
1162×	`associate-+l+`
1148×	`distribute-rgt-in`
784×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1139
1	234	1007
2	884	879
3	2870	851

Stop Event

1×	node limit

Counts

61 → 62

Calls

Call 1

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

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

eval344.0ms (4.1%)

Compiler: Compiled 16347 to 8909 computations (45.5% saved)

prune277.0ms (3.3%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	795	8	803
Fresh	3	5	8
Picked	1	0	1
Done	3	3	6
Total	802	16	818

Error

0.1b

Counts

818 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	32.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
▶	0.2b	(-.f64 (*.f64 x (cos.f64 y)) (/.f64 z (/.f64 1 (sin.f64 y))))
▶	9.2b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 z (.f64 (sin.f64 y) z)) (*.f64 z -1)))
	9.3b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (+.f64 (sin.f64 y) -1) z) z))
	26.4b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (-.f64 1 1)))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	25.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
	16.6b	(-.f64 x (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z)))
▶	25.2b	(-.f64 x (*.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1)))
	25.2b	(-.f64 x (*.f64 z (+.f64 1 (-.f64 (sin.f64 y) 1))))
✓	16.1b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	42.0b	(-.f64 x (*.f64 z (log.f64 1)))
	16.1b	(-.f64 x (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
	40.5b	(-.f64 x (*.f64 z (exp.f64 (log.f64 (sin.f64 y)))))
▶	20.6b	(-.f64 x (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
✓	33.7b	(-.f64 x (*.f64 z y))

Compiler

Compiled 373 to 265 computations (29% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 1 (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.3b	(/.f64 z (/.f64 1 (sin.f64 y)))

Compiler

Compiled 36 to 16 computations (55.6% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1758×	`add-sqr-sqrt`
1742×	`*-un-lft-identity`
1616×	`add-cube-cbrt`
1596×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	182	22
2	2315	22

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1590×	`associate-+l+`
1184×	`unswap-sqr`
976×	`times-frac`
896×	`associate-*r/`
764×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1272
1	418	1226
2	1537	1196
3	7793	1196

Stop Event

1×	node limit

Counts

86 → 91

Calls

Call 1

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

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

localize9.0ms (0.1%)

Compiler: Compiled 18 to 13 computations (27.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(*.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1))
	0.6b	(+.f64 (sin.f64 y) 1)
	3.0b	(-.f64 (+.f64 (sin.f64 y) 1) 1)

Compiler

Compiled 37 to 22 computations (40.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(*.f64 (sin.f64 y) z)
✓	0.6b	(+.f64 z (*.f64 (sin.f64 y) z))
✓	2.9b	(+.f64 (+.f64 z (.f64 (sin.f64 y) z)) (.f64 z -1))

Compiler

Compiled 53 to 18 computations (66% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite140.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`*-commutative`
962×	`distribute-lft-in`
782×	`associate-*r/`
746×	`associate-*l/`
554×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	238	51
2	3462	35

Stop Event

1×	node limit

Counts

3 → 586

Calls

Call 1

Inputs
(+.f64 (+.f64 z (.f64 (sin.f64 y) z)) (.f64 z -1))
(+.f64 z (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)

Outputs

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simplify249.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1628×	`associate-r`
1450×	`associate-l`
1116×	`+-commutative`
1076×	`associate-+l-`
868×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	964	30050
1	2824	29618

Stop Event

1×	node limit

Counts

658 → 736

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3)))
✓	0.4b	(pow.f64 (sin.f64 y) 3)
✓	17.4b	(cbrt.f64 (pow.f64 (sin.f64 y) 3))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`add-sqr-sqrt`
1612×	`*-un-lft-identity`
1512×	`add-cube-cbrt`
1492×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	204	27
2	2121	27

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(pow.f64 (sin.f64 y) 3)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3)))

Outputs

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

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

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

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1270×	`unswap-sqr`
616×	`fma-def`
570×	`+-commutative`
548×	`associate-/l*`
524×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1143
1	358	1119
2	1379	1095
3	5351	1095

Stop Event

1×	node limit

Counts

97 → 94

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3))
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 1)
(*.f64 (pow.f64 (sin.f64 y) 3) 1)
(*.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))
(*.f64 1 (pow.f64 (sin.f64 y) 3))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sin.f64 y) 3/2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1) (sin.f64 y))
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3) (pow.f64 (sqrt.f64 (sin.f64 y)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3) (sin.f64 y))
(sqrt.f64 (pow.f64 (sin.f64 y) 6))
(log.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))
(exp.f64 (*.f64 3 (log.f64 (sin.f64 y))))
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))
(fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (*.f64 (pow.f64 y 7) 13/120)))
(fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120))))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120))))
(+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)) (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)))
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 y))) 1/3))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 1)
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) 1)
(pow.f64 (sin.f64 y) 3)
(*.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 3)
(*.f64 1 (pow.f64 (sin.f64 y) 3))
(pow.f64 (sin.f64 y) 3)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sin.f64 y) 3/2))
(pow.f64 (sin.f64 y) 3)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1) (sin.f64 y))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3) (pow.f64 (sqrt.f64 (sin.f64 y)) 3))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3) (sin.f64 y))
(pow.f64 (sin.f64 y) 3)
(sqrt.f64 (pow.f64 (sin.f64 y) 6))
(pow.f64 (sin.f64 y) 3)
(log.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 3))))
(pow.f64 (sin.f64 y) 3)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3))
(pow.f64 (sin.f64 y) 3)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) 3)
(exp.f64 (*.f64 3 (log.f64 (sin.f64 y))))
(pow.f64 (sin.f64 y) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 y))) 1))
(pow.f64 (sin.f64 y) 3)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)

eval490.0ms (5.9%)

Compiler: Compiled 29422 to 11004 computations (62.6% saved)

prune669.0ms (8%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1210	7	1217
Fresh	3	5	8
Picked	0	1	1
Done	3	4	7
Total	1216	17	1233

Error

0.1b

Counts

1233 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	32.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	0.7b	(-.f64 (*.f64 x (cos.f64 y)) (/.f64 z (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)))
	34.3b	(-.f64 (*.f64 x (cos.f64 y)) (/.f64 z (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))))
	9.3b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (+.f64 (sin.f64 y) -1) z) z))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	26.4b	(-.f64 (*.f64 x (cos.f64 y)) 0)
	16.2b	(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
	25.2b	(-.f64 x (+.f64 (+.f64 z (.f64 (sin.f64 y) z)) (.f64 z -1)))
	25.2b	(-.f64 x (+.f64 (.f64 (+.f64 (sin.f64 y) 1) z) (.f64 -1 z)))
✓	25.2b	(-.f64 x (*.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1)))
	42.0b	(-.f64 x (*.f64 z (-.f64 1 1)))
	25.2b	(-.f64 x (*.f64 z (+.f64 1 (-.f64 (sin.f64 y) 1))))
✓	16.1b	(-.f64 x (*.f64 z (sin.f64 y)))
	16.1b	(-.f64 x (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
	40.5b	(-.f64 x (*.f64 z (exp.f64 (log.f64 (sin.f64 y)))))
✓	20.6b	(-.f64 x (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
✓	33.7b	(-.f64 x (*.f64 z y))

Compiler

Compiled 213 to 155 computations (27.2% saved)

regimes118.0ms (1.4%)

Counts

37 → 1

Calls

Call 1

Inputs
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 z (-.f64 1 1)))
(-.f64 x (*.f64 z (log.f64 1)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) 0)
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
(-.f64 x (*.f64 z (+.f64 1 (-.f64 (sin.f64 y) 1))))
(-.f64 x (*.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (-.f64 1 1)))
(-.f64 x (.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) y)))
(-.f64 x (+.f64 (.f64 (+.f64 (sin.f64 y) 1) z) (.f64 -1 z)))
(-.f64 x (+.f64 (+.f64 z (.f64 (sin.f64 y) z)) (.f64 z -1)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (+.f64 1 (-.f64 (sin.f64 y) 1))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1)))
(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (+.f64 (sin.f64 y) -1) z) z))
(-.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 z (.f64 (sin.f64 y) z)) (*.f64 z -1)))
(-.f64 x (*.f64 z (exp.f64 (log.f64 (sin.f64 y)))))
(-.f64 x (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
(-.f64 x (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
(-.f64 x (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
(-.f64 x (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (exp.f64 (log.f64 (sin.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
(-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (/.f64 z (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))))
(-.f64 (*.f64 x (cos.f64 y)) (/.f64 z (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)))
(-.f64 x (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y)))))))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Calls

4 calls:

48.0ms	y
20.0ms	x
16.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
15.0ms	z

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 422 to 188 computations (55.5% saved)

regimes139.0ms (1.7%)

Counts

13 → 3

Calls

Call 1

Inputs
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 z (-.f64 1 1)))
(-.f64 x (*.f64 z (log.f64 1)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) 0)
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
(-.f64 x (*.f64 z (+.f64 1 (-.f64 (sin.f64 y) 1))))
(-.f64 x (*.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (-.f64 1 1)))
(-.f64 x (.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) y)))
(-.f64 x (+.f64 (.f64 (+.f64 (sin.f64 y) 1) z) (.f64 -1 z)))
(-.f64 x (+.f64 (+.f64 z (.f64 (sin.f64 y) z)) (.f64 z -1)))

Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) 0)
(-.f64 x (*.f64 z (sin.f64 y)))

Calls

3 calls:

81.0ms	z
37.0ms	y
19.0ms	x

Results

Error	Segments	Branch
8.5b	3	`x`
11.0b	5	`y`
7.8b	3	`z`

Compiler

Compiled 126 to 72 computations (42.9% saved)

bsearch119.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	6.604578954442847e-99	7.396149824224085e-78
34.0ms	-3.77591148843336e-129	-1.7199708551407337e-129

Results

46.0ms	29×	body	512	valid
36.0ms	148×	body	256	valid
33.0ms	79×	body	1024	valid

Compiler

Compiled 338 to 253 computations (25.1% saved)

regimes32.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 z (-.f64 1 1)))
(-.f64 x (*.f64 z (log.f64 1)))
(-.f64 x (*.f64 z (sin.f64 y)))

Outputs
(-.f64 x (*.f64 z (sin.f64 y)))

Calls

3 calls:

24.0ms	z
4.0ms	y
3.0ms	x

Results

Error	Segments	Branch
16.1b	1	`x`
16.1b	1	`y`
16.1b	1	`z`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes26.0ms (0.3%)

Accuracy

Total -9.3b remaining (-27.6%)

Threshold costs -9.3b (-27.6%)

Counts

3 → 1

Calls

Call 1

Inputs
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 z (-.f64 1 1)))
(-.f64 x (*.f64 z (log.f64 1)))

Outputs
(-.f64 x (*.f64 z y))

Calls

3 calls:

19.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
33.7b	1	`x`
33.7b	1	`y`
33.7b	1	`z`

Compiler

Compiled 33 to 23 computations (30.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative`
20×	`*-commutative`
14×	`sub-neg`
10×	`neg-mul-1`
10×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	110
1	48	110
2	70	110
3	80	110
4	87	110
5	89	110

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -2887617409042293/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 1662310550835089/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (-.f64 (.f64 x (cos.f64 y)) 0) (-.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z y))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -2887617409042293/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 1662310550835089/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (-.f64 (.f64 x (cos.f64 y)) 0) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -2887617409042293/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (not (<=.f64 z 1662310550835089/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592))) (-.f64 x (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))

Compiler

Compiled 51 to 34 computations (33.3% saved)

soundness0.0ms (0%)

end51.0ms (0.6%)

Compiler: Compiled 42 to 18 computations (57.1% saved)

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27

Details

analyze364.0ms (4.4%)

sample2.8s (33.2%)

preprocess62.0ms (0.7%)

simplify29.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.2%)

series5.0ms (0.1%)

rewrite63.0ms (0.8%)

simplify75.0ms (0.9%)

eval19.0ms (0.2%)

prune20.0ms (0.2%)

localize15.0ms (0.2%)

series42.0ms (0.5%)

rewrite55.0ms (0.7%)

simplify64.0ms (0.8%)

localize8.0ms (0.1%)

localize15.0ms (0.2%)

series37.0ms (0.4%)

rewrite60.0ms (0.7%)

simplify129.0ms (1.5%)

localize48.0ms (0.6%)

series1.0ms (0%)

rewrite72.0ms (0.9%)

simplify60.0ms (0.7%)

localize18.0ms (0.2%)

series30.0ms (0.4%)

rewrite58.0ms (0.7%)

simplify81.0ms (1%)

eval182.0ms (2.2%)

prune119.0ms (1.4%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite67.0ms (0.8%)

simplify65.0ms (0.8%)

localize5.0ms (0.1%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite108.0ms (1.3%)

simplify219.0ms (2.6%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite59.0ms (0.7%)

simplify58.0ms (0.7%)

localize33.0ms (0.4%)

series7.0ms (0.1%)

rewrite83.0ms (1%)

simplify52.0ms (0.6%)

eval344.0ms (4.1%)

prune277.0ms (3.3%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (0.7%)

simplify74.0ms (0.9%)

localize9.0ms (0.1%)

localize16.0ms (0.2%)

localize19.0ms (0.2%)

series3.0ms (0%)

rewrite140.0ms (1.7%)

simplify249.0ms (3%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite61.0ms (0.7%)

simplify65.0ms (0.8%)

eval490.0ms (5.9%)

prune669.0ms (8%)

regimes118.0ms (1.4%)

regimes139.0ms (1.7%)

bsearch119.0ms (1.4%)

regimes32.0ms (0.4%)

regimes26.0ms (0.3%)

simplify7.0ms (0.1%)

soundness0.0ms (0%)

end51.0ms (0.6%)

Profiling

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27