Details

analyze332.0ms (2.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
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)

sample2.6s (22.8%)

Results

1.1s	5227×	body	256	valid
1.1s	1999×	body	1024	valid
383.0ms	1024×	body	512	valid
4.0ms	6×	body	2048	valid

Bogosity

preprocess61.0ms (0.5%)

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)

simplify27.0ms (0.2%)

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)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series11.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

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

rewrite117.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`unswap-sqr`
786×	`swap-sqr`
730×	`distribute-rgt-in`
682×	`distribute-lft-in`
546×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	233	54
2	3079	54

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.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 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (.f64 (.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2) (.f64 (.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1) (.f64 (.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (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)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (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)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 z (sin.f64 y)) 0) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 1) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (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 (.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (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 (.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 (.f64 z (sin.f64 y)) 0) (.f64 (.f64 (.f64 z 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simplify166.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1948×	`associate-+l+`
1134×	`fma-def`
1062×	`+-commutative`
778×	`associate-r`
768×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	595	12041
1	1690	11531
2	7712	11531

Stop Event

1×	node limit

Counts

309 → 335

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

eval121.0ms (1.1%)

Compiler: Compiled 9361 to 2598 computations (72.2% saved)

prune83.0ms (0.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	315	20	335
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	315	21	336

Error

0.0b

Counts

336 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	51.3b	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3) 1/3)
▶	33.0b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	30.6b	(/.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
	40.2b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶	0.3b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	25.9b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	26.5b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
✓	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)))))
	10.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
	5.8b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	19.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
	14.0b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	27.8b	(-.f64 x (*.f64 y z))
	0.2b	(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
	1.4b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	30.7b	(.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))
	38.2b	(*.f64 (neg.f64 z) (sin.f64 y))

Compiler

Compiled 796 to 454 computations (43% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 8 computations (69.2% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(*.f64 (neg.f64 z) (sin.f64 y))
1.0ms	x	@	-inf	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
0.0ms	z	@	0	(*.f64 (neg.f64 z) (sin.f64 y))
0.0ms	y	@	inf	(*.f64 (neg.f64 z) (sin.f64 y))
0.0ms	x	@	inf	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`*-commutative`
842×	`sqrt-prod`
734×	`unswap-sqr`
572×	`swap-sqr`
408×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	238	34
2	2915	34

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

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

Outputs

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

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1496×	`associate-*r/`
1326×	`associate-*l/`
996×	`associate-+r+`
950×	`associate-/r/`
844×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	252	5169
1	650	4935
2	3215	4935

Stop Event

1×	node limit

Counts

153 → 171

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`add-sqr-sqrt`
1672×	`*-un-lft-identity`
1558×	`add-cube-cbrt`
1542×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	152	13
2	2070	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1036×	`associate-+l+`
816×	`fma-def`
802×	`associate-/l/`
678×	`associate-/r/`
554×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	1217
1	298	1167
2	1311	1167
3	4993	1167

Stop Event

1×	node limit

Counts

75 → 49

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	0.3b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Compiler

Compiled 52 to 15 computations (71.2% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
1.0ms	x	@	0	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
1.0ms	x	@	inf	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
1.0ms	y	@	0	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
1.0ms	y	@	inf	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))

rewrite107.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`associate-*r/`
1214×	`associate-*l/`
790×	`distribute-lft-in`
458×	`associate-/r*`
384×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	299	60
2	3655	60

Stop Event

1×	node limit

Counts

2 → 269

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))

Outputs

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simplify153.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1244×	`fma-def`
824×	`associate-r`
762×	`+-commutative`
680×	`associate-l`
644×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	700	23537
1	2109	21233

Stop Event

1×	node limit

Counts

341 → 419

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(expm1.f64 (sin.f64 y))
0.0ms	z	@	0	(*.f64 z (log1p.f64 (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	(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))

rewrite57.0ms (0.5%)

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

Outputs

((#(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 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 (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))))))))

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

966×	`associate-/l*`
954×	`unswap-sqr`
856×	`fma-def`
750×	`associate-/r*`
568×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1116
1	340	1088
2	1455	1058
3	5086	1058

Stop Event

1×	node limit

Counts

96 → 86

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))
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)
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 (*.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 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 (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
(*.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 (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 1/120 (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 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)
(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)
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 1/2 (.f64 y y)))))
(+.f64 y (fma.f64 y (.f64 y 1/2) (fma.f64 (pow.f64 y 5) -1/15 (.f64 -1/8 (pow.f64 y 4)))))
(-.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 (*.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))
(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 (+.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 (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 (sin.f64 y) 3)) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (pow.f64 (exp.f64 2) (sin.f64 y)))))
(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))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)

Compiler

Compiled 50 to 12 computations (76% saved)

series19.0ms (0.2%)

Counts

2 → 40

Calls

18 calls:

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

rewrite111.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`swap-sqr`
758×	`distribute-rgt-in`
702×	`distribute-lft-in`
598×	`associate-*r/`
508×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	297	58
2	3521	58

Stop Event

1×	node limit

Counts

2 → 274

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
(sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))

Outputs

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simplify153.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1096×	`associate-+l+`
924×	`associate-r`
846×	`associate-l`
820×	`associate-+r+`
754×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	762	21354
1	2272	20258

Stop Event

1×	node limit

Counts

314 → 429

Calls

Call 1

Inputs
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))))
x
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(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (.f64 x (cos.f64 y))) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (.f64 z (sin.f64 y)))) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (.f64 x (cos.f64 y))) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (+.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(.f64 1 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4))
(.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) 1) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 1)
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))

Outputs
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) x)))
(fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))) 0) (.f64 x x) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) 0) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))) (.f64 x x) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))))
(fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))) 0) (.f64 x x) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) 0) (pow.f64 x 3) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
(fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) 0) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))) (.f64 x x) (fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) 0) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 3) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/2 x)) (pow.f64 (.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x))
(fma.f64 -1 (.f64 z y) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (.f64 z z) x) (.f64 x -1/2)) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (.f64 y y) x))
(fma.f64 -1 (.f64 z y) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 z (/.f64 x z)) (.f64 x -1/2)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 z -1/2)) 2)) (*.f64 y y) x))
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(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))

eval725.0ms (6.3%)

Compiler: Compiled 35565 to 10707 computations (69.9% saved)

prune456.0ms (4%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1299	19	1318
Fresh	12	3	15
Picked	1	0	1
Done	2	3	5
Total	1314	25	1339

Error

0.0b

Counts

1339 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(fma.f64 (cos.f64 y) x (/.f64 (.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (.f64 z z)))
✓	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	38.0b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 3)
	1.4b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3))
	38.3b	(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
	24.8b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
	38.1b	(/.f64 1 (/.f64 1 x))
	42.6b	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
	38.2b	(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	1.4b	(/.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1)))
	45.4b	(/.f64 1 (sqrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) -2)))
	0.2b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
	25.9b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
▶	0.2b	(-.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))))
▶	26.5b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
	10.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	5.8b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	14.0b	(-.f64 x (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
✓	27.8b	(-.f64 x (*.f64 y z))
▶	38.2b	(*.f64 (sin.f64 y) (neg.f64 z))
	24.7b	(*.f64 (cos.f64 y) x)
▶	51.8b	(*.f64 z (neg.f64 y))
	38.0b	x

Compiler

Compiled 662 to 466 computations (29.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))))
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	49.6b	(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))

Compiler

Compiled 79 to 19 computations (75.9% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(-.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))))
1.0ms	y	@	inf	(-.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))))
1.0ms	z	@	-inf	(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
1.0ms	x	@	0	(-.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))))
1.0ms	y	@	0	(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))

rewrite119.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`associate-*r/`
714×	`associate-+l+`
400×	`associate-+r+`
392×	`add-sqr-sqrt`
380×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	371	72
2	5153	72

Stop Event

1×	node limit

Counts

2 → 203

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))))

Outputs

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

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

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1336×	`fma-def`
1154×	`associate-+l+`
1008×	`associate-+r+`
644×	`+-commutative`
604×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	514	3489
1	1442	3489

Stop Event

1×	node limit

Counts

263 → 224

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`add-sqr-sqrt`
1338×	`*-un-lft-identity`
1236×	`add-cube-cbrt`
1218×	`add-cbrt-cube`
1202×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	160	11
2	1989	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) (neg.f64 z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(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 neg.f64 (*.f64 (sin.f64 y) z))))) (#(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 log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1578×	`fma-def`
856×	`*-commutative`
694×	`associate--r+`
688×	`associate-r`
656×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	753
1	153	675
2	514	583
3	2320	579
4	6481	579

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(.f64 -1/6 (.f64 (pow.f64 y 3) z))
✓	5.4b	(*.f64 (pow.f64 y 3) z)
✓	5.9b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))

Compiler

Compiled 59 to 31 computations (47.5% saved)

series7.0ms (0.1%)

Counts

3 → 21

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
1.0ms	z	@	inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
1.0ms	y	@	0	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
1.0ms	y	@	inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
0.0ms	z	@	-inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))

rewrite126.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`*-commutative`
952×	`unswap-sqr`
704×	`swap-sqr`
456×	`distribute-lft-in`
450×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	242	57
2	3023	57

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(*.f64 (pow.f64 y 3) z)
(.f64 -1/6 (.f64 (pow.f64 y 3) z))

Outputs

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y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 y (cbrt.f64 z)) 2) (cbrt.f64 1/36)) (*.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 -1/6)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 y 3)) z (*.f64 y z))))))

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

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

simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-/l/`
1008×	`associate-/r/`
802×	`associate-r`
744×	`associate-l`
460×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	8192
1	1066	7672
2	5441	7600

Stop Event

1×	node limit

Counts

142 → 194

Calls

Call 1

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

Outputs
(*.f64 y z)
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(neg.f64 (.f64 z (fma.f64 -1 y (.f64 (pow.f64 y 3) 1/6))))
(*.f64 z (neg.f64 (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(neg.f64 (.f64 z (fma.f64 -1 y (.f64 (pow.f64 y 3) 1/6))))
(*.f64 z (neg.f64 (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(neg.f64 (.f64 z (fma.f64 -1 y (.f64 (pow.f64 y 3) 1/6))))
(*.f64 z (neg.f64 (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(neg.f64 (.f64 z (fma.f64 -1 y (.f64 (pow.f64 y 3) 1/6))))
(*.f64 z (neg.f64 (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)))) (-.f64 1 (*.f64 y z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))) 1)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(-.f64 (exp.f64 (log1p.f64 (.f64 y z))) (-.f64 1 (.f64 -1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 y z))) 1) (.f64 -1/6 (*.f64 z (pow.f64 y 3))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (expm1.f64 (log1p.f64 (.f64 y z))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) z) (-.f64 (.f64 -1/6 (pow.f64 y 3)) y)) (/.f64 (pow.f64 (.f64 y z) 2) (.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))
(-.f64 (/.f64 (.f64 (pow.f64 y 6) (.f64 (.f64 z z) 1/36)) (.f64 z (fma.f64 -1/6 (pow.f64 y 3) (neg.f64 y)))) (/.f64 (pow.f64 (.f64 y z) 2) (.f64 z (fma.f64 -1/6 (pow.f64 y 3) (neg.f64 y)))))
(-.f64 (.f64 (/.f64 (pow.f64 y 6) z) (/.f64 (.f64 z (.f64 z 1/36)) (-.f64 (.f64 -1/6 (pow.f64 y 3)) y))) (/.f64 (/.f64 (pow.f64 (.f64 y z) 2) z) (-.f64 (.f64 -1/6 (pow.f64 y 3)) y)))
(-.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (exp.f64 (log1p.f64 (*.f64 y z)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 y z))) 1) (.f64 -1/6 (*.f64 z (pow.f64 y 3))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (expm1.f64 (log1p.f64 (.f64 y z))))
(-.f64 (+.f64 (.f64 y z) (exp.f64 (log1p.f64 (.f64 -1/6 (*.f64 (pow.f64 y 3) z))))) 1)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) 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 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) 1)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 1 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) (sqrt.f64 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (sqrt.f64 z) (+.f64 (.f64 (sqrt.f64 z) (.f64 -1/6 (pow.f64 y 3))) (.f64 y (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (fma.f64 y (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 z) -1/6) (pow.f64 y 3))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y)))
(.f64 (sqrt.f64 z) (+.f64 (.f64 y (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 -1/6 (pow.f64 y 3)))))
(.f64 (sqrt.f64 z) (fma.f64 y (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 z) -1/6) (pow.f64 y 3))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y)))
(.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) (pow.f64 (cbrt.f64 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) 2))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) 2) (cbrt.f64 (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (.f64 y (cbrt.f64 z)) (+.f64 (.f64 -1/6 (pow.f64 (.f64 y (cbrt.f64 z)) 2)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (.f64 y (cbrt.f64 z)) (+.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 -1/6 (pow.f64 (.f64 y (cbrt.f64 z)) 2))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (cbrt.f64 z) (+.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 -1/6 (pow.f64 y 3))) (.f64 y (pow.f64 (cbrt.f64 z) 2))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (cbrt.f64 z) (+.f64 (.f64 y (pow.f64 (cbrt.f64 z) 2)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 -1/6 (pow.f64 y 3)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (/.f64 1 (.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y))))
(.f64 (.f64 z z) (.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (*.f64 y y)) (/.f64 (/.f64 1 z) (fma.f64 -1/6 (pow.f64 y 3) (neg.f64 y)))))
(.f64 1 (/.f64 (.f64 z (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y)))
(.f64 z (/.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y)) (-.f64 (.f64 -1/6 (pow.f64 y 3)) y)))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (*.f64 -1/6 (pow.f64 y 3))))))))
(.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36)))))
(.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) z)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(.f64 (/.f64 1 (.f64 z (-.f64 (.f64 -1/6 (pow.f64 y 3)) y))) (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (*.f64 y y))))
(.f64 (.f64 z z) (.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (*.f64 y y)) (/.f64 (/.f64 1 z) (fma.f64 -1/6 (pow.f64 y 3) (neg.f64 y)))))
(.f64 1 (/.f64 (.f64 z (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y)))
(.f64 z (/.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y)) (-.f64 (.f64 -1/6 (pow.f64 y 3)) y)))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3))))))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (*.f64 y z) 3)))
(.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36)))))
(.f64 (/.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y 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 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3))) (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))))
(/.f64 (.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (fma.f64 -1/6 (pow.f64 y 3) y)))) (-.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216) (pow.f64 (*.f64 y z) 3)))
(/.f64 (.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (fma.f64 y (.f64 (.f64 z z) (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36))))) (-.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216) (pow.f64 (*.f64 y z) 3)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (-.f64 (.f64 (.f64 (.f64 (pow.f64 y 3) z) (pow.f64 (.f64 (pow.f64 y 3) z) 3)) 1/1296) (.f64 (pow.f64 (.f64 y z) 2) (.f64 (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3)))) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3)))))))) (-.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3)))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (-.f64 (.f64 (.f64 (.f64 z (pow.f64 y 3)) (pow.f64 (.f64 z (pow.f64 y 3)) 3)) 1/1296) (.f64 (pow.f64 (.f64 y z) 2) (.f64 (.f64 z z) (.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6)) (+.f64 y (.f64 (pow.f64 y 3) 1/6))))))) (-.f64 (.f64 (pow.f64 y 6) (.f64 (.f64 z z) 1/36)) (.f64 (.f64 (.f64 y z) z) (+.f64 y (*.f64 (pow.f64 y 3) 1/6)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (-.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 4) 1/1296) (.f64 z (.f64 (.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6)) (.f64 z (+.f64 y (.f64 (pow.f64 y 3) 1/6)))) (pow.f64 (.f64 y z) 2))))) (-.f64 (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36))) (.f64 (+.f64 y (.f64 (pow.f64 y 3) 1/6)) (.f64 y (*.f64 z z)))))
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(/.f64 (/.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 y 3))) (sqrt.f64 y)))) (.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 y 3))) (sqrt.f64 y))))
(/.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (.f64 (.f64 (sqrt.f64 z) (-.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 y 3))) (sqrt.f64 y))) (.f64 (sqrt.f64 z) (+.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 y 3))) (sqrt.f64 y)))))
(/.f64 (/.f64 (/.f64 (.f64 z z) (sqrt.f64 z)) (/.f64 (+.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 y 3))) (sqrt.f64 y)) (/.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 y 3))) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (.f64 z z) (sqrt.f64 z)) (.f64 (/.f64 (sqrt.f64 z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (+.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 y 3))) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 y 3))) (sqrt.f64 y)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) 1) (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3)))))))
(.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (sqrt.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3)))))))) (sqrt.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (*.f64 -1/6 (pow.f64 y 3))))))))
(.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3))))))) (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3))))))))) (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (*.f64 -1/6 (pow.f64 y 3))))))))
(.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))))
(/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (.f64 (pow.f64 y 6) 1/36)))))
(pow.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) 1)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(pow.f64 (sqrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) 2)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(pow.f64 (cbrt.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))) 3)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(pow.f64 (pow.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) 3) 1/3)
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(neg.f64 (/.f64 (.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 y y))) (.f64 z (neg.f64 (-.f64 (.f64 -1/6 (pow.f64 y 3)) y)))))
(.f64 (/.f64 (.f64 z z) z) (/.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(.f64 1 (/.f64 (.f64 z (fma.f64 y y (.f64 (pow.f64 y 6) -1/36))) (+.f64 y (.f64 (pow.f64 y 3) 1/6))))
(.f64 z (/.f64 (fma.f64 y y (.f64 (pow.f64 y 6) -1/36)) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) (pow.f64 (.f64 y z) 3)) (neg.f64 (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 y z) (.f64 z (-.f64 y (.f64 -1/6 (pow.f64 y 3)))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3))) (neg.f64 (fma.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36 (.f64 (.f64 (.f64 y z) z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216 (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 (.f64 z z) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 z (.f64 z (*.f64 (pow.f64 y 6) 1/36))))))
(sqrt.f64 (pow.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) 2))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) 2))
(fabs.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))
(log.f64 (exp.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(cbrt.f64 (pow.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) 3))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(expm1.f64 (log1p.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(exp.f64 (log.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(log1p.f64 (expm1.f64 (.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 y z (.f64 -1/6 (.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 z y (.f64 -1/6 (.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 (.f64 (pow.f64 y 3) z) -1/6 (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 1 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 1 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 (sqrt.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))) (sqrt.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))) (*.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (.f64 -1/6 (.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 (.f64 (pow.f64 (.f64 y (cbrt.f64 z)) 2) (cbrt.f64 1/36)) (.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 -1/6)) (*.f64 y z))
(fma.f64 (.f64 (pow.f64 (.f64 y (cbrt.f64 z)) 2) (cbrt.f64 1/36)) (.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 -1/6))) (*.f64 y z))
(fma.f64 (.f64 (pow.f64 (.f64 y (cbrt.f64 z)) 2) (cbrt.f64 1/36)) (.f64 (cbrt.f64 z) (.f64 y (cbrt.f64 -1/6))) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) (.f64 -1/6 (.f64 (pow.f64 y 3) z)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(fma.f64 (.f64 -1/6 (pow.f64 y 3)) z (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y 3) z))) 1)
(*.f64 z (pow.f64 y 3))
(pow.f64 (*.f64 (pow.f64 y 3) z) 1)
(*.f64 z (pow.f64 y 3))
(pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 z)) 2)
(pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 y 3/2)) 2)
(pow.f64 (*.f64 y (cbrt.f64 z)) 3)
(*.f64 z (pow.f64 y 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y 3) z) 3) 1/3)
(*.f64 z (pow.f64 y 3))
(sqrt.f64 (.f64 (pow.f64 y 6) (.f64 z z)))
(sqrt.f64 (.f64 z (.f64 z (pow.f64 y 6))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 3)) z))
(*.f64 z (pow.f64 y 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y 3) z))))
(*.f64 z (pow.f64 y 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y 3) z) 3))
(*.f64 z (pow.f64 y 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 z 3)))
(*.f64 z (pow.f64 y 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (pow.f64 y 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (pow.f64 y 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (pow.f64 y 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)))) 1)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(pow.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) 1)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(pow.f64 (sqrt.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))) 2)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(pow.f64 (.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 -1/6)) 3)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(pow.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216))
(sqrt.f64 (.f64 (.f64 (pow.f64 y 6) (*.f64 z z)) 1/36))
(sqrt.f64 (.f64 (pow.f64 y 6) (.f64 (*.f64 z z) 1/36)))
(sqrt.f64 (.f64 z (.f64 z (*.f64 (pow.f64 y 6) 1/36))))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 (pow.f64 y 3) z)))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)))))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 3) z) 3) -1/216))
(cbrt.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) -1/216))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z))))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 -1/6 z))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 12 computations (76% saved)

series35.0ms (0.3%)

Counts

3 → 44

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	z	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 3)
7.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 3)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 3)
2.0ms	x	@	inf	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))

rewrite140.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`distribute-rgt-in`
738×	`distribute-lft-in`
602×	`associate-*r/`
512×	`associate-*l/`
328×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	299	69
2	3593	69

Stop Event

1×	node limit

Counts

3 → 287

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) 1/3))))) (#(struct:change #<rule 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(cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))))

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

simplify238.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1392×	`associate-l`
1178×	`associate-+r+`
978×	`*-commutative`
890×	`+-commutative`
662×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	937	27583
1	2948	27495

Stop Event

1×	node limit

Counts

331 → 475

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z))) y) (.f64 (pow.f64 1 1/3) x))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))))))))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/6 z) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (.f64 z (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))))) (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 -1/6 z) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2)))))))))))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x))
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(pow.f64 x 1/3)
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(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(.f64 (pow.f64 (.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1))
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(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
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x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
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(fma.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 1 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 2)) (cbrt.f64 (.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))) 1)
(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1)
(.f64 1 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/6) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) 1) (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) 1) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 1)
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 1))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))

Outputs
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z))) y) (.f64 (pow.f64 1 1/3) x))
(fma.f64 (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) z) -1) y x)
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) y x)
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))))))))
(+.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) z) -1) y x) (.f64 (.f64 y y) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)) (+.f64 (.f64 1/3 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z))))) (.f64 (cbrt.f64 x) (fma.f64 2/3 (.f64 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))) (cbrt.f64 (/.f64 1 x))) (.f64 1/9 (.f64 (.f64 z z) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))))))))))
(+.f64 (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) y x) (.f64 (.f64 y y) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)) (+.f64 (.f64 1/3 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z))))) (.f64 (cbrt.f64 x) (fma.f64 2/3 (.f64 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))) (cbrt.f64 (/.f64 1 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (.f64 (.f64 z z) 1/9))))))))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/6 z) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (.f64 z (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))))) (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 -1/6 z) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2)))))))))))
(+.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) z) -1) y x) (fma.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (fma.f64 -1/6 z (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (.f64 z (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))))))))) (fma.f64 -2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (.f64 z (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z (fma.f64 2/3 (.f64 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))) (cbrt.f64 (/.f64 1 x))) (.f64 1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))))))) (.f64 (cbrt.f64 x) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (fma.f64 -1/6 z (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (.f64 z (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))))))))) (.f64 -2/9 (.f64 (.f64 z (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))))))))) (.f64 (.f64 y y) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)) (+.f64 (.f64 1/3 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z))))) (.f64 (cbrt.f64 x) (fma.f64 2/3 (.f64 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))) (cbrt.f64 (/.f64 1 x))) (.f64 1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)))))))))))
(+.f64 (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) y x) (fma.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (fma.f64 -1/6 z (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (.f64 (.f64 z (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z))))) -2/3))))) (fma.f64 -2/9 (.f64 z (.f64 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)))) (fma.f64 -1/3 (.f64 z (.f64 (fma.f64 2/3 (.f64 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))) (cbrt.f64 (/.f64 1 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (.f64 (.f64 z z) 1/9))) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)))) (.f64 (cbrt.f64 x) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (fma.f64 -1/6 z (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (.f64 (.f64 z (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z))))) -2/3))))) (.f64 (.f64 z (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))))))))) (.f64 (.f64 y y) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)) (+.f64 (.f64 1/3 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z))))) (.f64 (cbrt.f64 x) (fma.f64 2/3 (.f64 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))) (cbrt.f64 (/.f64 1 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (.f64 (*.f64 z z) 1/9)))))))))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
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(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
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(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
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(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
(+.f64 (cbrt.f64 x) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y))))
(+.f64 (cbrt.f64 x) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 (.f64 z y) -1/3)))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 y y)) (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z))))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (*.f64 z y)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 (*.f64 z y) -1/3))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (.f64 y z))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z)))))))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 y y)) (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z))))) (.f64 -1/3 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 y 3)) (fma.f64 -1/6 z (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (.f64 z (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (*.f64 z z))))))))))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z)))) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 -1/3 (+.f64 (.f64 z (.f64 y (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)))) (.f64 (fma.f64 -1/6 z (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (.f64 (.f64 z (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (.f64 z z))))) -2/3)))) (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))))))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(.f64 (pow.f64 (.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 z (sin.f64 y))))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18))))))
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(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))
(fma.f64 -1/3 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18))) (cbrt.f64 (.f64 x (cos.f64 y))))
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(fma.f64 -1/9 (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18))) (fma.f64 -1/3 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18))) (cbrt.f64 (.f64 x (cos.f64 y)))))
(fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (fma.f64 -1/3 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18))) (cbrt.f64 (.f64 x (cos.f64 y)))))
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(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 3) (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 3)) (.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 3)))))) (fma.f64 -1/9 (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18))) (fma.f64 -1/3 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18))) (cbrt.f64 (*.f64 x (cos.f64 y))))))
(fma.f64 -1/3 (.f64 (pow.f64 z 3) (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 3)) (.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 3)))) (cbrt.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))))) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (fma.f64 -1/3 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18))) (cbrt.f64 (*.f64 x (cos.f64 y))))))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) 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)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(-.f64 (fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (.f64 z (sin.f64 y)))
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(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(-.f64 (fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (.f64 z (sin.f64 y)))
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(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(-.f64 (fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (.f64 z (sin.f64 y)))
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(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(-.f64 (fma.f64 z (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 z (neg.f64 (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 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
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(fma.f64 (cos.f64 y) x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 2)) (*.f64 z (sin.f64 y)))))
(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
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(fma.f64 (cos.f64 y) x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 2)) (*.f64 z (sin.f64 y)))))
(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (*.f64 z (sin.f64 y)) 0)) 1))
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(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/6) 2)
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) 3)
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))))
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 1))
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3))
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) (log.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))

eval776.0ms (6.8%)

Compiler: Compiled 39589 to 16637 computations (58% saved)

prune387.0ms (3.4%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1085	7	1092
Fresh	2	15	17
Picked	1	0	1
Done	2	5	7
Total	1090	27	1117

Error

0.0b

Counts

1117 → 27

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.5b	(fma.f64 (cos.f64 y) x (/.f64 (.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (.f64 z z)))
✓	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	38.6b	(pow.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 z (sin.f64 y)))) 3)
	38.0b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
	25.4b	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
	1.4b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3))
▶	38.3b	(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
	24.8b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
▶	38.1b	(/.f64 1 (/.f64 1 x))
	42.6b	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
	38.2b	(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	1.4b	(/.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1)))
	45.4b	(/.f64 1 (sqrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) -2)))
▶	0.2b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
	25.9b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	10.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	14.1b	(-.f64 x (-.f64 (.f64 z (sin.f64 y)) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
	28.3b	(-.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
✓	27.8b	(-.f64 x (*.f64 y z))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2)))
✓	38.2b	(*.f64 (sin.f64 y) (neg.f64 z))
	38.2b	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) (neg.f64 z))
	24.7b	(*.f64 (cos.f64 y) x)
▶	43.6b	(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) (neg.f64 z))
✓	51.8b	(*.f64 z (neg.f64 y))
	38.0b	x

Compiler

Compiled 723 to 491 computations (32.1% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 23 computations (47.7% saved)

series5.0ms (0%)

Counts

4 → 56

Calls

18 calls:

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

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`associate-*l/`
1592×	`associate-/r*`
1302×	`associate-/l*`
584×	`associate-/r/`
398×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	272	44
2	3629	44

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1758×	`associate-/r*`
896×	`distribute-rgt-in`
890×	`distribute-lft-in`
620×	`associate-/r/`
554×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	3166
1	879	3076
2	3264	3046

Stop Event

1×	node limit

Counts

196 → 212

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 (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)
(/.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)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (neg.f64 (neg.f64 (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 (sqrt.f64 (sin.f64 y)) (.f64 z (sqrt.f64 (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) (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (sin.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 z -1) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (sqrt.f64 z) 1) (.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)) (sqrt.f64 z))
(.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (sin.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (.f64 (/.f64 (cbrt.f64 z) 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))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) 1) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (sin.f64 y))) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(.f64 (/.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (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 (neg.f64 (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 x (cos.f64 y)))) 1)
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (neg.f64 (neg.f64 (cos.f64 y))))
(.f64 (.f64 x (cos.f64 y)) 1)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 x (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 -1 (.f64 x (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 y)))
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 x (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 x -1) (neg.f64 (cos.f64 y)))
(.f64 (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (cos.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) 1) (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cos.f64 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (cos.f64 y) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (.f64 x (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) 1) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cos.f64 y))) (cbrt.f64 x))
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (cos.f64 y))))
(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)
(pow.f64 (/.f64 1 (*.f64 x (cos.f64 y))) -1)
(neg.f64 (*.f64 x (neg.f64 (cos.f64 y))))
(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 (/.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 (/.f64 -1 (sin.f64 y)) -1)
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (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 (/.f64 1 (pow.f64 (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 (/.f64 1 (pow.f64 (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))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 y)))) 1)
(*.f64 1 (/.f64 1 (cos.f64 y)))
(*.f64 (/.f64 1 (cos.f64 y)) 1)
(*.f64 (pow.f64 (cos.f64 y) -1/2) (pow.f64 (cos.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 -1 (/.f64 -1 (cos.f64 y)))
(*.f64 (/.f64 -1 (cos.f64 y)) -1)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) -1) (pow.f64 (sqrt.f64 (cos.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 y)) -1))
(pow.f64 (/.f64 1 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) 1/3)
(pow.f64 (cos.f64 y) -1)
(sqrt.f64 (pow.f64 (cos.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.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 (.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)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.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 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (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 (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)
(+.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))
(+.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)))
(+.f64 x (.f64 x (+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (*.f64 y 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 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 (pow.f64 y 3) 7/360 (*.f64 y 1/6)))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 (pow.f64 y 3) 7/360))))
(+.f64 (fma.f64 (pow.f64 y 3) 7/360 (*.f64 y 1/6)) (fma.f64 (pow.f64 y 5) 31/15120 (/.f64 1 y)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/2))
(fma.f64 (*.f64 y y) 1/2 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 4) 5/24)))
(+.f64 1 (fma.f64 (.f64 y y) 1/2 (.f64 (pow.f64 y 4) 5/24)))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 y 6) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 4) 5/24))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 61/720 (fma.f64 (.f64 y y) 1/2 (.f64 (pow.f64 y 4) 5/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (neg.f64 (neg.f64 (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 (sqrt.f64 (sin.f64 y)) (.f64 z (sqrt.f64 (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) (neg.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (neg.f64 (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.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 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (sin.f64 y)))
(/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 z (cbrt.f64 (sin.f64 y))))
(/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 z (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 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)) (sqrt.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (sin.f64 y))))
(/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (.f64 (/.f64 (cbrt.f64 z) 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 (.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) 1) (cbrt.f64 (sin.f64 y)))
(/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (sin.f64 y))) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 z (/.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 -1) z)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 z (.f64 -1 (cbrt.f64 (pow.f64 (sin.f64 y) -2)))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 z (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)))) (cbrt.f64 (neg.f64 (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))
(pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) -1)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 z (neg.f64 (sin.f64 y))))
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(fabs.f64 (*.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))))
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(*.f64 z (sin.f64 y))
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(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) x)
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (neg.f64 (neg.f64 (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 x (sqrt.f64 (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(.f64 -1 (.f64 x (neg.f64 (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 x (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 x (/.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (cos.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 x (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 x (/.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 (/.f64 x -1) (neg.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)) (sqrt.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (cos.f64 y))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 x (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 x (/.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) 1) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cos.f64 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (cos.f64 y) -1/2)))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) 1) (cbrt.f64 (cos.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 x (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 x (/.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cos.f64 y))) (cbrt.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))) (cbrt.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 x (/.f64 (sqrt.f64 -1) (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (neg.f64 (cos.f64 y))))
(.f64 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 y))) x) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 (/.f64 x (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)))) (cbrt.f64 (neg.f64 (cos.f64 y))))
(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)
(pow.f64 (/.f64 1 (*.f64 x (cos.f64 y))) -1)
(*.f64 (cos.f64 y) x)
(neg.f64 (*.f64 x (neg.f64 (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(fabs.f64 (*.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 (/.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 (/.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 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) 1) (/.f64 1 (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 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))
(pow.f64 (sqrt.f64 (sin.f64 y)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 y)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (cbrt.f64 (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 (/.f64 1 (pow.f64 (sin.f64 y) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) -1)
(/.f64 1 (sin.f64 y))
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(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 (/.f64 1 (pow.f64 (sin.f64 y) 3)))
(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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 y)))) 1)
(/.f64 1 (cos.f64 y))
(*.f64 1 (/.f64 1 (cos.f64 y)))
(/.f64 1 (cos.f64 y))
(*.f64 (/.f64 1 (cos.f64 y)) 1)
(/.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) -1/2) (pow.f64 (cos.f64 y) -1/2))
(/.f64 1 (cos.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (cos.f64 y)))
(*.f64 -1 (/.f64 -1 (cos.f64 y)))
(/.f64 1 (cos.f64 y))
(*.f64 (/.f64 -1 (cos.f64 y)) -1)
(/.f64 1 (cos.f64 y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) -1) (pow.f64 (sqrt.f64 (cos.f64 y)) -1))
(pow.f64 (sqrt.f64 (cos.f64 y)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 y)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) -2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (/.f64 1 (cos.f64 y)) 1)
(/.f64 1 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) -1/2) 2)
(/.f64 1 (cos.f64 y))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) 3)
(/.f64 1 (cos.f64 y))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) -1)
(/.f64 1 (cos.f64 y))
(sqrt.f64 (pow.f64 (cos.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 y))))
(/.f64 1 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 y)))))
(/.f64 1 (cos.f64 y))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))
(/.f64 1 (cos.f64 y))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(/.f64 1 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) -1))
(/.f64 1 (cos.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) 1))
(/.f64 1 (cos.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))
(/.f64 1 (cos.f64 y))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-r`
908×	`add-sqr-sqrt`
892×	`*-un-lft-identity`
842×	`pow1`
832×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	125	1
2	1227	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*r/`
1178×	`associate-/r*`
952×	`associate-*l/`
916×	`associate-/l*`
850×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	273
1	241	231
2	805	223
3	3088	223

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 -1 (sin.f64 y))
✓	0.2b	(/.f64 (/.f64 -1 (sin.f64 y)) z)
✓	0.7b	(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series7.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

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

rewrite112.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`associate-*r/`
1400×	`associate-/r*`
1018×	`associate-*l/`
986×	`*-commutative`
926×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	227	43
2	2798	43

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1048×	`distribute-rgt-in`
1034×	`distribute-lft-in`
674×	`distribute-lft-neg-out`
610×	`distribute-rgt-neg-out`
488×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	4841
1	1029	4669
2	3958	4653

Stop Event

1×	node limit

Counts

217 → 260

Calls

Call 1

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

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

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) (neg.f64 z))
✓	0.3b	(pow.f64 (sin.f64 y) 3)
✓	22.2b	(cbrt.f64 (pow.f64 (sin.f64 y) 3))

Compiler

Compiled 27 to 15 computations (44.4% saved)

series5.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`add-sqr-sqrt`
1678×	`*-un-lft-identity`
1578×	`add-cube-cbrt`
1558×	`add-cbrt-cube`
194×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	229	27
2	2527	27

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

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 0 (*.f64 (sin.f64 y) 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 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 neg.f64 (*.f64 (sin.f64 y) z))))) (#(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)))))))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1270×	`unswap-sqr`
714×	`fma-def`
680×	`+-commutative`
614×	`*-commutative`
554×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1275
1	375	1255
2	1547	1225
3	5834	1225

Stop Event

1×	node limit

Counts

99 → 101

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 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.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 0 (*.f64 (sin.f64 y) z))
(-.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)
(neg.f64 (*.f64 (sin.f64 y) z))
(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 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (.f64 y z) (.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(.f64 z (+.f64 (neg.f64 y) (.f64 (pow.f64 y 3) 1/6)))
(.f64 z (-.f64 (.f64 (pow.f64 y 3) 1/6) y))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (.f64 y z) (fma.f64 -1/120 (.f64 (pow.f64 y 5) z) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(-.f64 (.f64 z (+.f64 (.f64 (pow.f64 y 3) 1/6) (.f64 (pow.f64 y 5) -1/120))) (.f64 y z))
(.f64 z (-.f64 (fma.f64 (pow.f64 y 3) 1/6 (.f64 (pow.f64 y 5) -1/120)) y))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (fma.f64 -1 (.f64 y z) (fma.f64 -1/120 (.f64 (pow.f64 y 5) z) (.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (-.f64 (.f64 z (+.f64 (.f64 (pow.f64 y 3) 1/6) (.f64 (pow.f64 y 5) -1/120))) (*.f64 y z)))
(.f64 z (+.f64 (fma.f64 (pow.f64 y 3) 1/6 (.f64 (pow.f64 y 5) -1/120)) (fma.f64 (pow.f64 y 7) 1/5040 (neg.f64 y))))
(.f64 z (+.f64 (fma.f64 (pow.f64 y 7) 1/5040 (neg.f64 y)) (fma.f64 (pow.f64 y 3) 1/6 (.f64 (pow.f64 y 5) -1/120))))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 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 0 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.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)
(neg.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 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)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(fma.f64 (cos.f64 y) x (/.f64 (.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (.f64 z z)))
✓	2.4b	(*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y)))
✓	41.9b	(/.f64 (.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (.f64 z z))

Compiler

Compiled 53 to 22 computations (58.5% saved)

series7.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`associate-/l/`
520×	`associate-/r/`
464×	`distribute-lft-neg-in`
420×	`distribute-rgt-in`
384×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	99
1	339	75
2	4636	75

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (.f64 z z))
(*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y)))
(fma.f64 (cos.f64 y) x (/.f64 (.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (.f64 z z)))

Outputs

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

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

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simplify120.0ms (1%)

Algorithm

1×	egg-herbie

Rules

842×	`distribute-rgt-neg-in`
836×	`associate-r`
830×	`distribute-lft-neg-in`
820×	`associate-l`
614×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	7017
1	1216	5931
2	5544	5889

Stop Event

1×	node limit

Counts

251 → 268

Calls

Call 1

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

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

eval387.0ms (3.4%)

Compiler: Compiled 15740 to 7674 computations (51.2% saved)

prune253.0ms (2.2%)

Pruning

37 alts after pruning (29 fresh and 8 done)

	Pruned	Kept	Total
New	977	20	997
Fresh	8	9	17
Picked	1	0	1
Done	1	8	9
Total	987	37	1024

Error

Counts

1024 → 37

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	50.3b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2)
	38.6b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 3)
	25.4b	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
	51.6b	(/.f64 1 (fma.f64 -1/6 (/.f64 y z) (/.f64 (/.f64 -1 z) y)))
	38.6b	(/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 3))
✓	38.3b	(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
	51.9b	(/.f64 1 (/.f64 (/.f64 -1 z) y))
	51.9b	(/.f64 1 (/.f64 (/.f64 -1 y) z))
	51.6b	(/.f64 1 (/.f64 (-.f64 (*.f64 y -1/6) (/.f64 1 y)) z))
	24.8b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
✓	38.1b	(/.f64 1 (/.f64 1 x))
	51.8b	(/.f64 1 (/.f64 -1 (*.f64 y z)))
	51.6b	(/.f64 1 (-.f64 (.f64 -1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
	42.6b	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
	38.2b	(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	45.4b	(/.f64 1 (sqrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) -2)))
	38.3b	(/.f64 1 (neg.f64 (/.f64 (/.f64 1 z) (sin.f64 y))))
	0.3b	(-.f64 (/.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 y))) x) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)))) (/.f64 z (/.f64 1 (sin.f64 y))))
	0.2b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) -1))
	13.9b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
	19.6b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
	0.6b	(-.f64 (/.f64 x (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))) (/.f64 z (/.f64 1 (sin.f64 y))))
	47.1b	(-.f64 (+.f64 1 x) 1)
	29.5b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
	10.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	14.1b	(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
✓	27.8b	(-.f64 x (*.f64 y z))
	51.1b	(.f64 (.f64 (sqrt.f64 z) (neg.f64 (sin.f64 y))) (sqrt.f64 z))
✓	38.2b	(*.f64 (sin.f64 y) (neg.f64 z))
	38.2b	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) (neg.f64 z))
	24.7b	(*.f64 (cos.f64 y) x)
✓	43.6b	(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) (neg.f64 z))
✓	51.8b	(*.f64 z (neg.f64 y))
	55.5b	(sqrt.f64 (*.f64 x x))
	38.0b	x

Compiler

Compiled 454 to 343 computations (24.4% saved)

regimes142.0ms (1.2%)

Counts

67 → 1

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
32.0ms	z
29.0ms	x
28.0ms	y

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 890 to 352 computations (60.4% saved)

regimes78.0ms (0.7%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	y
17.0ms	x
17.0ms	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 362 to 187 computations (48.3% saved)

regimes164.0ms (1.4%)

Counts

26 → 5

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 -1 (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 -1 y) z))
(/.f64 1 (/.f64 (/.f64 -1 z) y))
(/.f64 1 (/.f64 (-.f64 (*.f64 y -1/6) (/.f64 1 y)) z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (-.f64 (.f64 -1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
(/.f64 1 (neg.f64 (/.f64 (/.f64 1 z) (sin.f64 y))))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
(/.f64 1 (fma.f64 -1/6 (/.f64 y z) (/.f64 (/.f64 -1 z) y)))
(-.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))

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

Calls

3 calls:

72.0ms	y
53.0ms	x
33.0ms	z

Results

Error	Segments	Branch
5.2b	5	`x`
9.8b	6	`y`
7.4b	3	`z`

Compiler

Compiled 222 to 129 computations (41.9% saved)

bsearch134.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	6.556595456301526e+45	2.898742382165454e+46
27.0ms	1.1708584229256357e+29	5.471835718239347e+30
41.0ms	1.0831220545601756e-165	1.0381288326108933e-153
41.0ms	-3.752621402595406e+121	-1.4921700616000272e+110

Results

57.0ms	135×	body	1024	valid
54.0ms	340×	body	256	valid
15.0ms	53×	body	512	valid

Compiler

Compiled 1008 to 739 computations (26.7% saved)

regimes155.0ms (1.4%)

Counts

25 → 3

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 -1 (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 -1 y) z))
(/.f64 1 (/.f64 (/.f64 -1 z) y))
(/.f64 1 (/.f64 (-.f64 (*.f64 y -1/6) (/.f64 1 y)) z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (-.f64 (.f64 -1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
(/.f64 1 (neg.f64 (/.f64 (/.f64 1 z) (sin.f64 y))))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
(/.f64 1 (fma.f64 -1/6 (/.f64 y z) (/.f64 (/.f64 -1 z) y)))
(-.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))

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

Calls

3 calls:

75.0ms	y
43.0ms	z
31.0ms	x

Results

Error	Segments	Branch
7.9b	3	`x`
9.8b	6	`y`
8.0b	3	`z`

Compiler

Compiled 206 to 119 computations (42.2% saved)

bsearch63.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.8713225661603695e+87	9.983944085021044e+87
41.0ms	-3.752621402595406e+121	-1.4921700616000272e+110

Results

27.0ms	59×	body	1024	valid
25.0ms	166×	body	256	valid
9.0ms	31×	body	512	valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

regimes203.0ms (1.8%)

Counts

16 → 6

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 -1 (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 -1 y) z))
(/.f64 1 (/.f64 (/.f64 -1 z) y))
(/.f64 1 (/.f64 (-.f64 (*.f64 y -1/6) (/.f64 1 y)) z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (-.f64 (.f64 -1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))

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

Calls

3 calls:

84.0ms	z
69.0ms	y
47.0ms	x

Results

Error	Segments	Branch
14.8b	6	`x`
11.7b	6	`y`
12.5b	7	`z`

Compiler

Compiled 124 to 77 computations (37.9% saved)

bsearch169.0ms (1.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
14.0ms	2.7920299677948935e-6	8.878339294615951e-6
39.0ms	-2.814386891168492e-6	-2.1316525372301566e-13
26.0ms	-0.07097549578440783	-5.962020384384792e-5
28.0ms	-1.5941642510341074e+27	-485063649440881.94
62.0ms	-2.015290618264893e+236	-3.227646310963723e+233

Results

101.0ms	512×	body	256	valid
61.0ms	128×	body	1024	valid

Compiler

Compiled 698 to 519 computations (25.6% saved)

regimes65.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 -1 (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 -1 y) z))
(/.f64 1 (/.f64 (/.f64 -1 z) y))
(/.f64 1 (/.f64 (-.f64 (*.f64 y -1/6) (/.f64 1 y)) z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (-.f64 (.f64 -1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)

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

Calls

3 calls:

21.0ms	z
21.0ms	y
20.0ms	x

Results

Error	Segments	Branch
18.1b	3	`x`
14.2b	3	`y`
18.1b	3	`z`

Compiler

Compiled 114 to 73 computations (36% saved)

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	2.7920299677948935e-6	8.878339294615951e-6
23.0ms	-250.89151771702922	-0.16549803216457987

Results

33.0ms

208×

body

256

valid

Compiler

Compiled 239 to 169 computations (29.3% saved)

regimes56.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 -1 (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 -1 y) z))
(/.f64 1 (/.f64 (/.f64 -1 z) y))
(/.f64 1 (/.f64 (-.f64 (*.f64 y -1/6) (/.f64 1 y)) z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (-.f64 (.f64 -1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(sqrt.f64 (*.f64 x x))

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

Calls

3 calls:

39.0ms	z
7.0ms	x
7.0ms	y

Results

Error	Segments	Branch
27.8b	1	`x`
27.8b	1	`y`
27.8b	1	`z`

Compiler

Compiled 110 to 71 computations (35.5% saved)

regimes24.0ms (0.2%)

Accuracy

Total -27.8b remaining (-80.8%)

Threshold costs -27.8b (-80.8%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))

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

Calls

3 calls:

10.0ms	z
8.0ms	x
6.0ms	y

Results

Error	Segments	Branch
36.2b	3	`x`
36.8b	2	`y`
34.4b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch77.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	4.385210769378375e+172	1.6798460430254913e+185
31.0ms	-3.1088702870931308e+218	-2.4022882753833227e+215

Results

34.0ms	188×	body	256	valid
31.0ms	71×	body	1024	valid
8.0ms	29×	body	512	valid

Compiler

Compiled 252 to 193 computations (23.4% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
22×	`+-commutative`
14×	`if-if-or-not`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	495
1	112	485
2	135	445
3	151	441
4	160	441
5	165	441
6	166	441
7	167	441

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -159999999999999997096139315014396925835482415429250739967334373918385160870080852771292854790290202820213735424) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (if (<=.f64 x 4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x 4999999999999999817948147482624) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (if (<=.f64 x 6600000000000000106840877664637868725059452928) (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))))
(if (<=.f64 x -174999999999999995780939955913739761463114699410141378380920153916274409375947022649158334448051515768709316608) (.f64 (cos.f64 y) x) (if (<=.f64 x 2599999999999999982825836825430159581044064870231899534515516269278378105752791570972672) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -29000000000000002106617361958773321422320062709136365493006004032742790351327666396864278517152684217349377076302284466672129390557154911856850100471837360767738211849658469475163495279455440485109259470775234939664058994420947573800960) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y -979999999999999947051106304) (.f64 (cos.f64 y) x) (if (<=.f64 y -1152921504606847/36028797018963968) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y -6611313076017503/2361183241434822606848) (.f64 (cos.f64 y) x) (if (<=.f64 y 2508757194024499/295147905179352825856) (-.f64 x (.f64 y z)) (.f64 (cos.f64 y) x))))))
(if (<=.f64 y -6124895493223875/36028797018963968) (.f64 (cos.f64 y) x) (if (<=.f64 y 2508757194024499/295147905179352825856) (-.f64 x (.f64 y z)) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -245000000000000006779180039300699084957021263390524953486491160428194589328358300071795966663968176970928223685766768888425777156424361495158748173756903425825471780237390798138216642449220264941991876952212277035008) (.f64 z (neg.f64 y)) (if (<=.f64 z 72000000000000006722333063646246058548314083646212134755727800639645439891221675880264504522217129894090466780250423113569483357053534463593886811665031268657659174299551924224) x (.f64 z (neg.f64 y))))
x

Outputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(if (<=.f64 x -159999999999999997096139315014396925835482415429250739967334373918385160870080852771292854790290202820213735424) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (if (<=.f64 x 4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x 4999999999999999817948147482624) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (if (<=.f64 x 6600000000000000106840877664637868725059452928) (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))))
(if (<=.f64 x -159999999999999997096139315014396925835482415429250739967334373918385160870080852771292854790290202820213735424) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (if (<=.f64 x 4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (-.f64 x (.f64 z (sin.f64 y))) (if (or (<=.f64 x 4999999999999999817948147482624) (not (<=.f64 x 6600000000000000106840877664637868725059452928))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (-.f64 x (.f64 z (sin.f64 y))))))
(if (<=.f64 x -159999999999999997096139315014396925835482415429250739967334373918385160870080852771292854790290202820213735424) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (if (or (<=.f64 x 4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (not (or (<=.f64 x 4999999999999999817948147482624) (not (<=.f64 x 6600000000000000106840877664637868725059452928))))) (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(if (or (<=.f64 x -159999999999999997096139315014396925835482415429250739967334373918385160870080852771292854790290202820213735424) (not (or (<=.f64 x 4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (not (or (<=.f64 x 4999999999999999817948147482624) (not (<=.f64 x 6600000000000000106840877664637868725059452928))))))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (-.f64 x (.f64 z (sin.f64 y))))
(if (or (<=.f64 x -159999999999999997096139315014396925835482415429250739967334373918385160870080852771292854790290202820213735424) (not (or (<=.f64 x 4830671903771573/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (and (not (<=.f64 x 4999999999999999817948147482624)) (<=.f64 x 6600000000000000106840877664637868725059452928))))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (-.f64 x (.f64 z (sin.f64 y))))
(if (<=.f64 x -174999999999999995780939955913739761463114699410141378380920153916274409375947022649158334448051515768709316608) (.f64 (cos.f64 y) x) (if (<=.f64 x 2599999999999999982825836825430159581044064870231899534515516269278378105752791570972672) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -174999999999999995780939955913739761463114699410141378380920153916274409375947022649158334448051515768709316608) (not (<=.f64 x 2599999999999999982825836825430159581044064870231899534515516269278378105752791570972672))) (.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y))))
(if (<=.f64 y -29000000000000002106617361958773321422320062709136365493006004032742790351327666396864278517152684217349377076302284466672129390557154911856850100471837360767738211849658469475163495279455440485109259470775234939664058994420947573800960) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y -979999999999999947051106304) (.f64 (cos.f64 y) x) (if (<=.f64 y -1152921504606847/36028797018963968) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y -6611313076017503/2361183241434822606848) (.f64 (cos.f64 y) x) (if (<=.f64 y 2508757194024499/295147905179352825856) (-.f64 x (.f64 y z)) (.f64 (cos.f64 y) x))))))
(if (<=.f64 y -29000000000000002106617361958773321422320062709136365493006004032742790351327666396864278517152684217349377076302284466672129390557154911856850100471837360767738211849658469475163495279455440485109259470775234939664058994420947573800960) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y -979999999999999947051106304) (.f64 (cos.f64 y) x) (if (<=.f64 y -1152921504606847/36028797018963968) (.f64 (neg.f64 z) (sin.f64 y)) (if (or (<=.f64 y -6611313076017503/2361183241434822606848) (not (<=.f64 y 2508757194024499/295147905179352825856))) (.f64 (cos.f64 y) x) (-.f64 x (*.f64 y z))))))
(if (<=.f64 y -6124895493223875/36028797018963968) (.f64 (cos.f64 y) x) (if (<=.f64 y 2508757194024499/295147905179352825856) (-.f64 x (.f64 y z)) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -6124895493223875/36028797018963968) (not (<=.f64 y 2508757194024499/295147905179352825856))) (.f64 (cos.f64 y) x) (-.f64 x (.f64 y z)))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -245000000000000006779180039300699084957021263390524953486491160428194589328358300071795966663968176970928223685766768888425777156424361495158748173756903425825471780237390798138216642449220264941991876952212277035008) (.f64 z (neg.f64 y)) (if (<=.f64 z 72000000000000006722333063646246058548314083646212134755727800639645439891221675880264504522217129894090466780250423113569483357053534463593886811665031268657659174299551924224) x (.f64 z (neg.f64 y))))
(if (or (<=.f64 z -245000000000000006779180039300699084957021263390524953486491160428194589328358300071795966663968176970928223685766768888425777156424361495158748173756903425825471780237390798138216642449220264941991876952212277035008) (not (<=.f64 z 72000000000000006722333063646246058548314083646212134755727800639645439891221675880264504522217129894090466780250423113569483357053534463593886811665031268657659174299551924224))) (*.f64 z (neg.f64 y)) x)
(if (or (<=.f64 z -245000000000000006779180039300699084957021263390524953486491160428194589328358300071795966663968176970928223685766768888425777156424361495158748173756903425825471780237390798138216642449220264941991876952212277035008) (not (<=.f64 z 72000000000000006722333063646246058548314083646212134755727800639645439891221675880264504522217129894090466780250423113569483357053534463593886811665031268657659174299551924224))) (*.f64 y (neg.f64 z)) x)
x

Compiler

Compiled 186 to 122 computations (34.4% saved)

soundness266.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1948×	`associate-+l+`
1134×	`fma-def`
1062×	`+-commutative`
778×	`associate-r`
768×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	595	12041
1	1690	11531
2	7712	11531

Stop Event

1×	node limit

Compiler

Compiled 72 to 23 computations (68.1% saved)

end122.0ms (1.1%)

Compiler: Compiled 162 to 76 computations (53.1% 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

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