Details

analyze293.0ms (2.2%)

Algorithm

1×

Search

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

sample3.3s (24.9%)

Results

1.5s	5122×	body	256	valid
1.2s	2032×	body	1024	valid
595.0ms	1097×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess85.0ms (0.6%)

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)

simplify56.0ms (0.4%)

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)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.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)

series7.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

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

rewrite157.0ms (1.2%)

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)))
(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 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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simplify230.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1884×	`associate-+l+`
1132×	`fma-def`
1056×	`+-commutative`
756×	`associate-r`
710×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	593	12049
1	1682	11545
2	7580	11545

Stop Event

1×	node limit

Counts

309 → 334

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

eval115.0ms (0.9%)

Compiler: Compiled 9361 to 2614 computations (72.1% saved)

prune78.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	319	15	334
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	319	16	335

Error

0.0b

Counts

335 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
▶	32.5b	(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)
	38.5b	(/.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 3) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2))
	0.2b	(-.f64 (.f64 x (-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)) (.f64 z (sin.f64 y)))
	16.2b	(-.f64 (.f64 x (.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
	0.1b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	29.1b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	25.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
▶	0.2b	(-.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
	12.7b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	31.5b	(-.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)))))
▶	0.1b	(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 (.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
	34.0b	(*.f64 z (neg.f64 (sin.f64 y)))

Compiler

Compiled 504 to 304 computations (39.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(*.f64 z (neg.f64 (sin.f64 y)))
	0.1b	(*.f64 z (sin.f64 y))
✓	52.1b	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))

Compiler

Compiled 71 to 13 computations (81.7% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`add-sqr-sqrt`
1766×	`*-un-lft-identity`
1628×	`add-cube-cbrt`
1606×	`add-cbrt-cube`
242×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	240	28
2	3048	28

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

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

Outputs

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

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

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

222×	`associate-r`
176×	`associate-l`
172×	`fma-def`
114×	`*-commutative`
84×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1653
1	344	1653
2	1834	1653

Stop Event

1×

unsound

Counts

85 → 57

Calls

Call 1

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

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

localize6.0ms (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)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (0.4%)

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)))))))

simplify64.0ms (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))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`*-commutative`
900×	`unswap-sqr`
672×	`swap-sqr`
556×	`distribute-lft-in`
548×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	214	23
2	2861	23

Stop Event

1×	node limit

Counts

1 → 167

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (neg.f64 (*.f64 y z)) (*.f64 (*.f64 y z) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (*.f64 y z)) (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 y z) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (neg.f64 (*.f64 y z)) (*.f64 (*.f64 (*.f64 y z) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (*.f64 y z)) (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 (*.f64 y z) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (neg.f64 (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (*.f64 y z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 y) z (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (neg.f64 (*.f64 y z)) (fma.f64 (neg.f64 (*.f64 y z)) 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (*.f64 y z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 (*.f64 y z)) 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (neg.f64 (*.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 (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (*.f64 y z)) (*.f64 (*.f64 y z) 0)) (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 (cos.f64 y)) (+.f64 (neg.f64 (*.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 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (*.f64 y z)) (*.f64 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simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1760×	`associate-*r/`
1340×	`associate-+r+`
860×	`+-commutative`
830×	`fma-def`
640×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	10841
1	1177	9647
2	5016	9537

Stop Event

1×	node limit

Counts

203 → 255

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.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 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 x (cos.f64 y)) (neg.f64 (.f64 y z)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (.f64 (.f64 y z) 0)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 (*.f64 y z) 0) 2)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (.f64 (.f64 (*.f64 y z) 0) 2)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.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 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (*.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (*.f64 y z) 0)) 1))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (.f64 (*.f64 y z) 0))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (.f64 (.f64 (.f64 y z) 0) 2))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (fma.f64 (neg.f64 y) z (.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (fma.f64 (neg.f64 (.f64 y z)) 1 (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (.f64 (.f64 (.f64 y z) 0) 2) (.f64 (.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 y) z (.f64 y z)) (.f64 (.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z)) (.f64 (*.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)) (.f64 (.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)) (.f64 (.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (.f64 (.f64 y z) 0) (.f64 (.f64 (.f64 y z) 0) 2)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (.f64 (.f64 (.f64 y z) 0) 2) (.f64 (.f64 (*.f64 y z) 0) 2)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 y) z (.f64 y z)) (.f64 (.f64 (*.f64 y z) 0) 2)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z)) (.f64 (.f64 (.f64 y z) 0) 2)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)) (.f64 (.f64 (*.f64 y z) 0) 2)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)) (.f64 (.f64 (*.f64 y z) 0) 2)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (.f64 (.f64 y z) 0) (fma.f64 (neg.f64 y) z (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (.f64 (.f64 (.f64 y z) 0) 2) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 y) z (.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z)) (fma.f64 (neg.f64 y) z (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (.f64 (.f64 y z) 0) (fma.f64 (neg.f64 (.f64 y z)) 1 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (.f64 (.f64 (.f64 y z) 0) 2) (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 y) z (.f64 y z)) (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z)) (fma.f64 (neg.f64 (.f64 y z)) 1 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)) (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)) (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (.f64 (.f64 y z) 0) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (.f64 (.f64 (.f64 y z) 0) 2) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 y) z (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z))))
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(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3))) (sqrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (cos.f64 y)) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (.f64 y z) (pow.f64 (.f64 y z) 3))) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 y z)))) (+.f64 (pow.f64 (.f64 y z) 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 y z) 2) 3)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 y z)))) (+.f64 (.f64 (.f64 x (cos.f64 y)) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 y z) 2) (+.f64 (pow.f64 (.f64 y z) 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 y z) 3) (pow.f64 (.f64 y z) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (.f64 y z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))) (+.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 y z) 3) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 y z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) 1) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z))))))
(pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))))
(fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 y z)))
(fma.f64 1 (.f64 x (cos.f64 y)) (neg.f64 (.f64 y z)))
(fma.f64 1 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (.f64 (*.f64 y z) 0))
(fma.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z)))) (.f64 (.f64 y z) 0))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (neg.f64 (*.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z)))) (.f64 (.f64 y z) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (neg.f64 (*.f64 y z)))

Outputs
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 y (neg.f64 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))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(-.f64 (fma.f64 -1/2 (.f64 (.f64 x y) y) x) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1 (.f64 y z) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (.f64 y y)) x)))
(-.f64 (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (.f64 y x)) x)) (.f64 y z))
(-.f64 (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 (.f64 x y) y) x)) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (neg.f64 (.f64 y z)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (.f64 (.f64 y z) 0)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 (*.f64 y z) 0) 2)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (.f64 (.f64 (*.f64 y z) 0) 2)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 (.f64 y z)) 1 (.f64 y z))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(+.f64 (.f64 y (neg.f64 z)) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z))))
(+.f64 (.f64 (sqrt.f64 (.f64 y z)) (neg.f64 (sqrt.f64 (.f64 y z)))) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(+.f64 (.f64 y (neg.f64 z)) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z))))
(+.f64 (.f64 (sqrt.f64 (.f64 y z)) (neg.f64 (sqrt.f64 (.f64 y z)))) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (*.f64 y z))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)) (-.f64 (.f64 (cos.f64 y) x) (*.f64 y z)))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (*.f64 y z))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)) (-.f64 (.f64 (cos.f64 y) x) (*.f64 y z)))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (+.f64 (neg.f64 (.f64 y z)) (.f64 (*.f64 y z) 0)) 1))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (.f64 (*.f64 y z) 0))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (.f64 (.f64 (.f64 y z) 0) 2))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (fma.f64 (neg.f64 y) z (.f64 y z)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (fma.f64 (neg.f64 (.f64 y z)) 1 (*.f64 y z)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z))))
(+.f64 (.f64 (sqrt.f64 (.f64 y z)) (neg.f64 (sqrt.f64 (.f64 y z)))) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)) (-.f64 (.f64 (cos.f64 y) x) (*.f64 y z)))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (+.f64 (.f64 (.f64 (.f64 y z) 0) 2) (.f64 (.f64 y z) 0)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
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(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))) 3)
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) 3) 1/3)
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 2) (neg.f64 (pow.f64 (.f64 (cos.f64 y) x) 2))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 (cos.f64 y) x) 2)) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 y z))))
(.f64 -1 (-.f64 (.f64 y z) (*.f64 (cos.f64 y) x)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 y z) 3)) (fma.f64 y (.f64 z (fma.f64 (cos.f64 y) x (.f64 y z))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) 2))
(sqrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 y z)) 2))
(fabs.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 y z)))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) 3))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 1 (.f64 x (cos.f64 y)) (neg.f64 (.f64 y z)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 1 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z))) (.f64 (*.f64 y z) 0))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z)))) (.f64 (.f64 y z) 0))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (neg.f64 (*.f64 y z)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 y z)))) (.f64 (.f64 y z) 0))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (neg.f64 (*.f64 y z)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.3b	(pow.f64 (cos.f64 y) 3)
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))

Compiler

Compiled 43 to 21 computations (51.2% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

((#(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)))))))

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1282×	`unswap-sqr`
596×	`+-commutative`
548×	`associate-/l*`
520×	`distribute-lft-in`
510×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1103
1	325	1091
2	1302	1065
3	5238	1061

Stop Event

1×	node limit

Counts

97 → 99

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(*.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 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3))) 1)
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(-.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
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4))))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -3/2))
(fma.f64 (*.f64 y y) -3/2 1)
(fma.f64 y (*.f64 y -3/2) 1)
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 7/8 (pow.f64 y 4) (.f64 (.f64 y y) -3/2)))
(+.f64 (fma.f64 (.f64 y y) -3/2 1) (.f64 (pow.f64 y 4) 7/8))
(fma.f64 (pow.f64 y 4) 7/8 (fma.f64 y (*.f64 y -3/2) 1))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) (.f64 (.f64 y y) -3/2))))
(+.f64 (fma.f64 (pow.f64 y 6) -61/240 (.f64 (pow.f64 y 4) 7/8)) (fma.f64 (.f64 y y) -3/2 1))
(fma.f64 (pow.f64 y 6) -61/240 (fma.f64 (pow.f64 y 4) 7/8 (fma.f64 y (*.f64 y -3/2) 1)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.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 (.f64 y y) x) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (fma.f64 -1/2 (.f64 y y) 1) 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 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(.f64 x (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)) 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 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))))
(+.f64 x (.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 1/24 (pow.f64 y 4) (.f64 y (*.f64 -1/2 y))))))
(.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)))
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cos.f64 y)
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 y))) 1/3))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3))) 1)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(pow.f64 (cos.f64 y) 3)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 3)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(pow.f64 (cos.f64 y) 3)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(pow.f64 (cos.f64 y) 3)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(pow.f64 (cos.f64 y) 3)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 3))))
(pow.f64 (cos.f64 y) 3)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(pow.f64 (cos.f64 y) 3)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 y))) 1))
(pow.f64 (cos.f64 y) 3)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 (cos.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	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))
✓	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)

series10.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

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

rewrite118.0ms (0.9%)

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	27
1	297	27
2	3521	27

Stop Event

1×	node limit

Counts

1 → 239

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.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 (sin.f64 y) (neg.f64 z)) (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.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 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.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 (sin.f64 y) (neg.f64 z)) (*.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 (sin.f64 y) (neg.f64 z)) (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 (sin.f64 y) (neg.f64 z)) (*.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 (sin.f64 y) (neg.f64 z)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (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 (sin.f64 y) (neg.f64 z)) (*.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 (sin.f64 y) (neg.f64 z)) (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 (sin.f64 y) (neg.f64 z)) (*.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 (sin.f64 y) (neg.f64 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simplify135.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-+l+`
940×	`fma-def`
760×	`associate-+r+`
700×	`+-commutative`
584×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	636	17765
1	1965	14345

Stop Event

1×	node limit

Counts

259 → 331

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
(+.f64 (.f64 -1 (.f64 y z)) 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))
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(/.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)))

Outputs
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (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 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.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 x x) 0 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(+.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 x x) 0 (fma.f64 (pow.f64 x 3) 0 (-.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 (-.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))
(-.f64 (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) (*.f64 z y))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (+.f64 (.f64 -1/6 z) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (+.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 (pow.f64 y 3) (fma.f64 -1 (fma.f64 -1/6 z (.f64 -1/2 (/.f64 (-.f64 (.f64 x -1/2) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 x -1/2) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))) (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)))
(-.f64 (fma.f64 (pow.f64 y 3) (-.f64 (.f64 -1/2 (/.f64 z (/.f64 x (-.f64 (.f64 x -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 z -1/2)) 2))))) (fma.f64 -1/2 (/.f64 z (/.f64 x (-.f64 (.f64 x -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 z -1/2)) 2)))) (.f64 z -1/6))) (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)) (*.f64 z y))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.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))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.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 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (.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 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (*.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 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (.f64 z (sin.f64 y)) 0)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (.f64 z (sin.f64 y)) 0)) (.f64 (.f64 z (sin.f64 y)) 0)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 2 (.f64 (*.f64 z (sin.f64 y)) 0))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (.f64 z (sin.f64 y)) 0)) (.f64 2 (.f64 (*.f64 z (sin.f64 y)) 0))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (.f64 z (sin.f64 y)) 0)) (.f64 (.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (.f64 z (sin.f64 y)))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (.f64 z (sin.f64 y)) 0)) (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (.f64 z (sin.f64 y)))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (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 x (cos.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 z (sin.f64 y)))
(+.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y))))) (.f64 (cos.f64 y) x))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.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)))))
(-.f64 (fma.f64 x (cos.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 z (sin.f64 y)))
(+.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y))))) (.f64 (cos.f64 y) x))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (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 (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.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)))))
(-.f64 (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (*.f64 z (sin.f64 y)) 0)) 1))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
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(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (cbrt.f64 (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 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.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 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (/.f64 (/.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.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 (pow.f64 (.f64 (cos.f64 y) x) 4) (pow.f64 (.f64 z (sin.f64 y)) 4)) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))
(/.f64 (-.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 (pow.f64 (.f64 (cos.f64 y) x) 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 (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 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 3)) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 4) (.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))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 6) (pow.f64 (.f64 z (sin.f64 y)) 6)) (.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (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))))
(/.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 (pow.f64 (.f64 (cos.f64 y) x) 6) (pow.f64 (.f64 z (sin.f64 y)) 6)) (.f64 (+.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 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 6) (pow.f64 (.f64 z (sin.f64 y)) 6)) (.f64 (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 (pow.f64 (.f64 (cos.f64 y) x) 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 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3)) (.f64 (+.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 (pow.f64 (.f64 (cos.f64 y) x) 6) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (pow.f64 (.f64 z (sin.f64 y)) 6)))))
(/.f64 (/.f64 (-.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) (fma.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 6)))) (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)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.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)))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.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)))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.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 (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)) (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 (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)))
(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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.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 (-.f64 (.f64 (cos.f64 y) x) (.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.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 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.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 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.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 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))

eval344.0ms (2.6%)

Compiler: Compiled 34467 to 10578 computations (69.3% saved)

prune423.0ms (3.2%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1211	16	1227
Fresh	4	6	10
Picked	1	0	1
Done	3	2	5
Total	1219	24	1243

Error

Counts

1243 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
▶	31.5b	(fma.f64 y (neg.f64 z) x)
	45.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z))) 2)
	47.5b	(pow.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 2)
	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
▶	38.5b	(/.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 3) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2))
	43.5b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
▶	25.2b	(-.f64 (.f64 x (-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)) (.f64 y z))
	32.4b	(-.f64 (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y z))
	0.2b	(-.f64 (.f64 x (.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
	0.1b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	25.2b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 y z))
	29.1b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	25.2b	(-.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 y z))
✓	31.5b	(-.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)))))
	29.1b	(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 (.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))))
	0.6b	(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 (.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))))
	33.0b	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) 1/2)) (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2)))
	28.9b	(*.f64 (cos.f64 y) x)
	34.0b	(*.f64 z (neg.f64 (sin.f64 y)))
▶	52.4b	(*.f64 z (neg.f64 y))
	40.8b	x

Compiler

Compiled 784 to 468 computations (40.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 8 computations (69.2% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`*-commutative`
844×	`sqrt-prod`
734×	`unswap-sqr`
570×	`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 → 91

Calls

Call 1

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

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1492×	`associate-*r/`
1338×	`associate-*l/`
1010×	`associate-+r+`
934×	`associate-/r/`
876×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	249	5109
1	642	4875
2	3179	4875

Stop Event

1×	node limit

Counts

151 → 165

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

localize5.0ms (0%)

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

localize5.0ms (0%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1))
✓	0.2b	(exp.f64 (log1p.f64 (cos.f64 y)))
✓	0.3b	(log1p.f64 (cos.f64 y))
✓	0.5b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)

Compiler

Compiled 45 to 17 computations (62.2% saved)

series135.0ms (1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
71.0ms	x	@	0	(*.f64 x (-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1))
47.0ms	y	@	inf	(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
14.0ms	y	@	-inf	(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
0.0ms	y	@	0	(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
0.0ms	x	@	inf	(*.f64 x (-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1884×	`add-sqr-sqrt`
1868×	`*-un-lft-identity`
1734×	`add-cube-cbrt`
1712×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	219	36
2	2387	36

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(log1p.f64 (cos.f64 y))
(exp.f64 (log1p.f64 (cos.f64 y)))
(*.f64 x (-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1))

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

simplify143.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1328×	`unswap-sqr`
1314×	`distribute-lft-in`
1224×	`distribute-rgt-in`
672×	`*-commutative`
474×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	2626
1	508	2440
2	2202	2424

Stop Event

1×	node limit

Counts

158 → 165

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(log.f64 2)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.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 (+.f64 1 (cos.f64 y)) -1)
(+.f64 -1 (+.f64 1 (cos.f64 y)))
(*.f64 1 (cos.f64 y))
(*.f64 (cos.f64 y) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 y)) 1)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (+.f64 1 (cos.f64 y)) 1))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1) (-.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (cos.f64 y)) 1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (+.f64 1 (cos.f64 y)) 1)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 (+.f64 1 (cos.f64 y)) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (-.f64 (+.f64 1 (cos.f64 y)) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (+.f64 1 (cos.f64 y)) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)) (neg.f64 (+.f64 (+.f64 1 (cos.f64 y)) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (+.f64 1 (cos.f64 y)) 1))))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(fma.f64 1 (+.f64 1 (cos.f64 y)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)
(+.f64 0 (log1p.f64 (cos.f64 y)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (cos.f64 y)))) (log.f64 (sqrt.f64 (+.f64 1 (cos.f64 y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 y)))) 1)
(*.f64 (log1p.f64 (cos.f64 y)) 1)
(*.f64 1 (log1p.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y))))
(pow.f64 (log1p.f64 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2))
(log.f64 (+.f64 1 (cos.f64 y)))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) 1))
(+.f64 1 (cos.f64 y))
(+.f64 (cos.f64 y) 1)
(+.f64 (+.f64 (+.f64 1 (cos.f64 y)) 1) -1)
(-.f64 (+.f64 (+.f64 1 (cos.f64 y)) 1) 1)
(*.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 1 (+.f64 1 (cos.f64 y)))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (cos.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(pow.f64 (+.f64 1 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 3)
(pow.f64 (E.f64) (log1p.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 y)))) (sqrt.f64 (log1p.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (+.f64 1 (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 (pow.f64 (+.f64 1 (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (cos.f64 y))))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 y))))
(+.f64 (.f64 x (+.f64 1 (cos.f64 y))) (.f64 x -1))
(+.f64 (.f64 (+.f64 1 (cos.f64 y)) x) (.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)) (+.f64 (+.f64 1 (cos.f64 y)) 1))
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (+.f64 1 (cos.f64 y)) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) x) (+.f64 (+.f64 1 (cos.f64 y)) 1))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) x) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (+.f64 1 (cos.f64 y)) 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 (cos.f64 y)) x))
(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
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 1 (+.f64 1 (cos.f64 y)))) x))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (.f64 (+.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y))))) x)
(.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 x (+.f64 1 (.f64 (+.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) x) (+.f64 (+.f64 1 (cos.f64 y)) 1))
(/.f64 x (/.f64 (+.f64 1 (+.f64 1 (cos.f64 y))) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(*.f64 (/.f64 x (+.f64 2 (cos.f64 y))) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(.f64 (.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))) (/.f64 x (+.f64 2 (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) x) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (+.f64 1 (cos.f64 y)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 1 (+.f64 1 (cos.f64 y)))) x))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (.f64 (+.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y))))) x)
(.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 x (+.f64 1 (.f64 (+.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(fabs.f64 (*.f64 (cos.f64 y) x))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 3)
✓	0.2b	(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2)
✓	37.5b	(/.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 3) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2))

Compiler

Compiled 74 to 19 computations (74.3% saved)

series9.0ms (0.1%)

Counts

3 → 92

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2)
1.0ms	x	@	0	(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 3)
1.0ms	x	@	-inf	(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 3)
1.0ms	y	@	0	(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 3)
0.0ms	y	@	-inf	(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 3)

rewrite292.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`associate-/r*`
1436×	`associate-/l*`
1174×	`associate-/r/`
344×	`associate-+l+`
334×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	93
1	353	93
2	4346	93

Stop Event

1×	node limit

Counts

3 → 787

Calls

Call 1

Inputs

(/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))

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

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

Outputs

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simplify712.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1892×	`distribute-lft-in`
998×	`associate-+l+`
964×	`+-commutative`
854×	`associate-+r+`
690×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1751	96835
1	5359	96819

Stop Event

1×	node limit

Counts

879 → 1299

Calls

Call 1

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

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

eval981.0ms (7.4%)

Compiler: Compiled 74430 to 19058 computations (74.4% saved)

prune817.0ms (6.2%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	1710	6	1716
Fresh	7	10	17
Picked	1	0	1
Done	1	5	6
Total	1719	21	1740

Error

Counts

1740 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	17.4b	(fma.f64 (cos.f64 y) x (/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 z z)) z))
✓	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
✓	31.5b	(fma.f64 y (neg.f64 z) x)
	45.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z))) 2)
	47.5b	(pow.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 2)
	43.5b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
	51.7b	(/.f64 (neg.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
	25.2b	(-.f64 (.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (.f64 y z))
▶	32.4b	(-.f64 (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y z))
	0.2b	(-.f64 (.f64 x (.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
▶	0.1b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	29.1b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	25.2b	(-.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 y z))
✓	31.5b	(-.f64 x (*.f64 y z))
	0.2b	(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
	0.4b	(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 2 (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
▶	34.0b	(*.f64 (sin.f64 y) (neg.f64 z))
	28.9b	(*.f64 (cos.f64 y) x)
✓	52.4b	(*.f64 z (neg.f64 y))
	40.8b	x

Compiler

Compiled 541 to 352 computations (34.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(log.f64 (exp.f64 (cos.f64 y)))
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
(exp.f64 (cos.f64 y))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (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)))))))

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1122×	`unswap-sqr`
864×	`fma-def`
804×	`associate-*r/`
666×	`associate-*l/`
512×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1145
1	311	1133
2	1367	985
3	5313	977

Stop Event

1×	node limit

Counts

91 → 93

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.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)
(exp.f64 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(+.f64 0 (cos.f64 y))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (*.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 (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)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1)
(*.f64 (exp.f64 (cos.f64 y)) 1)
(*.f64 1 (exp.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2) (cbrt.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (exp.f64 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (cos.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4))))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.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 (.f64 y y) x) x)
(fma.f64 -1/2 (.f64 (.f64 x 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 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(.f64 x (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.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 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))))
(+.f64 x (.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))
(.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (E.f64))
(.f64 (fma.f64 -1/2 (.f64 y y) 1) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1)))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (E.f64)))
(fma.f64 -1/2 (.f64 y (.f64 y (E.f64))) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (E.f64)))
(fma.f64 (E.f64) (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/6)) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1))))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (fma.f64 1/6 (.f64 (pow.f64 y 4) (E.f64)) (fma.f64 -31/720 (.f64 (pow.f64 y 6) (E.f64)) (E.f64))))
(+.f64 (.f64 (E.f64) (+.f64 (.f64 (pow.f64 y 4) 1/6) (.f64 (pow.f64 y 6) -31/720))) (.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(fma.f64 (E.f64) (fma.f64 (pow.f64 y 4) 1/6 (.f64 (pow.f64 y 6) -31/720)) (.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(.f64 (E.f64) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 (pow.f64 y 4) 1/6 (*.f64 (pow.f64 y 6) -31/720))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(cos.f64 y)
(+.f64 0 (cos.f64 y))
(cos.f64 y)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(cos.f64 y)
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 (cos.f64 y) x)
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(-.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (exp.f64 (cos.f64 y)) 1)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 1 (exp.f64 (cos.f64 y)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2) (cbrt.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (cos.f64 y)) 1)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) 2)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1/3)
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 1) (cos.f64 y))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 2))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))
(+.f64 1 (expm1.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 y y))
✓	3.7b	(-.f64 (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y z))
✓	4.3b	(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y y))))

Compiler

Compiled 48 to 24 computations (50% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y y))))
1.0ms	y	@	inf	(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y y))))
0.0ms	y	@	0	(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y y))))
0.0ms	x	@	inf	(-.f64 (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y z))
0.0ms	z	@	0	(-.f64 (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y z))

rewrite168.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`associate-*r/`
1164×	`distribute-lft-in`
1020×	`associate-*l/`
618×	`associate-+l+`
298×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	287	67
2	3890	67

Stop Event

1×	node limit

Counts

3 → 318

Calls

Call 1

Inputs
(.f64 x (+.f64 1 (.f64 -1/2 (*.f64 y y))))
(-.f64 (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y z))
(.f64 -1/2 (.f64 y y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 1 (*.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (*.f64 -1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 1/4 (pow.f64 y 4))) (/.f64 (-.f64 1 (*.f64 -1/2 (*.f64 y y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 y y) 3))) (/.f64 (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (*.f64 1/2 (*.f64 y y)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 1/4 (pow.f64 y 4)))) (-.f64 1 (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 -1/8 (pow.f64 (*.f64 y y) 3)))) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 y 4))) x) (-.f64 1 (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 y y) 3))) x) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 y 4)) (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 -1/2 (*.f64 y y)))) (+.f64 (/.f64 (*.f64 1/4 (pow.f64 y 4)) (-.f64 1 (*.f64 -1/2 (*.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 y y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 y y))))))))

simplify229.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1380×	`fma-def`
860×	`associate-r`
800×	`associate-/l*`
708×	`+-commutative`
702×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	752	23508
1	2030	21662

Stop Event

1×	node limit

Counts

390 → 431

Calls

Call 1

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

Outputs
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 -1/2 (.f64 x (*.f64 y y)))
(.f64 -1/2 (.f64 y (*.f64 y x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 -1/2 (.f64 x (*.f64 y y)))
(.f64 -1/2 (.f64 y (*.f64 y x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
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(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))) 2)
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))) 3)
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z))) 3) 1/3)
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z))) 2))
(fabs.f64 (-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z))))))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z))) 3))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(exp.f64 (.f64 (log.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (*.f64 y (neg.f64 z)))) 1))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(fma.f64 1 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y (neg.f64 z)))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(fma.f64 1 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z))) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(+.f64 x (fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 y (neg.f64 z) (fma.f64 (neg.f64 z) y (*.f64 y z)))))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (fma.f64 y z (.f64 0 (.f64 y z))))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) x (.f64 y (neg.f64 z)))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))) (sqrt.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(+.f64 x (fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 y (neg.f64 z) (fma.f64 (neg.f64 z) y (*.f64 y z)))))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (fma.f64 y z (.f64 0 (.f64 y z))))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1))) (sqrt.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1))) (*.f64 y (neg.f64 z)))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))) 2) (cbrt.f64 (fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(+.f64 x (fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 y (neg.f64 z) (fma.f64 (neg.f64 z) y (*.f64 y z)))))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (fma.f64 y z (.f64 0 (.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1))) 2) (cbrt.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1))) (*.f64 y (neg.f64 z)))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (neg.f64 z)))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(+.f64 1 (-.f64 (.f64 -1/2 (.f64 y y)) 1))
(.f64 -1/2 (.f64 y y))
(+.f64 (.f64 -1/2 (.f64 y y)) 0)
(.f64 -1/2 (.f64 y y))
(-.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)
(.f64 -1/2 (.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 -1/2 (.f64 y y)))) (+.f64 (/.f64 (.f64 1/4 (pow.f64 y 4)) (-.f64 1 (.f64 -1/2 (*.f64 y y)))) 1))
(-.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/2))) (+.f64 1 (/.f64 (.f64 1/4 (pow.f64 y 4)) (+.f64 1 (.f64 (*.f64 y y) 1/2)))))
(+.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/4)) (+.f64 1 (.f64 y (*.f64 y 1/2)))) -1)
(pow.f64 (.f64 -1/2 (.f64 y y)) 1)
(.f64 -1/2 (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 y y))) 3)
(.f64 -1/2 (.f64 y y))
(pow.f64 (.f64 -1/8 (pow.f64 (.f64 y y) 3)) 1/3)
(cbrt.f64 (.f64 -1/8 (pow.f64 (.f64 y y) 3)))
(cbrt.f64 (*.f64 -1/8 (pow.f64 y 6)))
(sqrt.f64 (*.f64 1/4 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 y y)))
(.f64 -1/2 (.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 y y)))))
(.f64 -1/2 (.f64 y y))
(cbrt.f64 (.f64 -1/8 (pow.f64 (.f64 y y) 3)))
(cbrt.f64 (*.f64 -1/8 (pow.f64 y 6)))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 y y))))
(.f64 -1/2 (.f64 y y))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 y y))))
(.f64 -1/2 (.f64 y y))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (*.f64 y y))) 1))
(.f64 -1/2 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 y y))))
(.f64 -1/2 (.f64 y y))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 y z))
	0.1b	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
	0.3b	(pow.f64 (cos.f64 y) 3)
	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))

Compiler

Compiled 39 to 20 computations (48.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`swap-sqr`
760×	`distribute-rgt-in`
710×	`distribute-lft-in`
548×	`associate-*r/`
434×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	282	23
2	3376	23

Stop Event

1×	node limit

Counts

1 → 185

Calls

Call 1

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

Outputs

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x (cos.f64 y) (*.f64 y (neg.f64 z)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) (*.f64 (*.f64 y z) 0))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) (*.f64 (*.f64 y z) 0))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 y (neg.f64 z)))))))

simplify200.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1760×	`associate-*r/`
1404×	`associate-+r+`
1346×	`associate-*l/`
920×	`+-commutative`
892×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	456	10857
1	1266	9907
2	5093	9899

Stop Event

1×	node limit

Counts

221 → 268

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.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 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (.f64 (.f64 y z) 0)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (.f64 2 (.f64 (*.f64 y z) 0))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (.f64 2 (.f64 (*.f64 y z) 0))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 (*.f64 y z) 0) 1)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (.f64 (.f64 (*.f64 y z) 0) 1)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (*.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (*.f64 y z))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (*.f64 y z) 0)) 1))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (.f64 (*.f64 y z) 0))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (.f64 2 (.f64 (.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (.f64 (.f64 (.f64 y z) 0) 1))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (fma.f64 (neg.f64 y) z (.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (fma.f64 (.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 2 (.f64 (.f64 y z) 0)) (.f64 (.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 (.f64 (.f64 y z) 0) 1) (.f64 (.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (.f64 y z)) (.f64 (.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z)) (.f64 (*.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)) (.f64 (.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)) (.f64 (.f64 y z) 0)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 (.f64 y z) 0) (.f64 2 (.f64 (.f64 y z) 0))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 2 (.f64 (.f64 y z) 0)) (.f64 2 (.f64 (*.f64 y z) 0))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 (.f64 (.f64 y z) 0) 1) (.f64 2 (.f64 (*.f64 y z) 0))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (.f64 y z)) (.f64 2 (.f64 (*.f64 y z) 0))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z)) (.f64 2 (.f64 (.f64 y z) 0))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)) (.f64 2 (.f64 (*.f64 y z) 0))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)) (.f64 2 (.f64 (*.f64 y z) 0))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 (.f64 y z) 0) (.f64 (.f64 (.f64 y z) 0) 1)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 2 (.f64 (.f64 y z) 0)) (.f64 (.f64 (*.f64 y z) 0) 1)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 (.f64 (.f64 y z) 0) 1) (.f64 (.f64 (*.f64 y z) 0) 1)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (.f64 y z)) (.f64 (.f64 (*.f64 y z) 0) 1)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z)) (.f64 (.f64 (.f64 y z) 0) 1)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)) (.f64 (.f64 (*.f64 y z) 0) 1)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)) (.f64 (.f64 (*.f64 y z) 0) 1)))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 (.f64 y z) 0) (fma.f64 (neg.f64 y) z (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 2 (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 (.f64 (.f64 y z) 0) 1) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z)) (fma.f64 (neg.f64 y) z (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 (.f64 y z) 0) (fma.f64 (.f64 y (neg.f64 z)) 1 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 2 (.f64 (.f64 y z) 0)) (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (.f64 (.f64 (.f64 y z) 0) 1) (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (.f64 y z)) (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (+.f64 (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z)) (fma.f64 (.f64 y (neg.f64 z)) 1 (*.f64 y z))))
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(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) 2) (.f64 (.f64 (.f64 y z) 0) (.f64 (.f64 y z) 0))) 1) (-.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (.f64 (.f64 y z) 0)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y (neg.f64 z)) 3)) 1) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y (neg.f64 z)) (-.f64 (.f64 y (neg.f64 z)) (.f64 x (cos.f64 y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) 3) (pow.f64 (.f64 (.f64 y z) 0) 3)) 1) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) 2) (.f64 (.f64 (.f64 y z) 0) (-.f64 (.f64 (.f64 y z) 0) (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))))))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)) (pow.f64 (.f64 y z) 2)) 1) (neg.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (.f64 x (cos.f64 y))) (.f64 (pow.f64 (.f64 y z) 3) (.f64 y z))) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 y z)))) (+.f64 (pow.f64 (.f64 y z) 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 y z) 2) 3)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 y z)))) (+.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (.f64 x (cos.f64 y))) (.f64 (pow.f64 (.f64 y z) 2) (+.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 6) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 y z) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (.f64 y z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))) (+.f64 (.f64 (pow.f64 (cos.f64 y) 6) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (pow.f64 (.f64 y z) 3) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 y z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) 1) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z))))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 y z) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))))
(fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(fma.f64 1 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z))) (.f64 (*.f64 y z) 0))
(fma.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z)))) (.f64 (.f64 y z) 0))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 y (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 y (neg.f64 z)))) (.f64 (.f64 y z) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 y (neg.f64 z)))

Outputs
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
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))
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1 (.f64 y z) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (.f64 y y)) x)))
(-.f64 (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (.f64 y x)) x)) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (.f64 (.f64 y z) 0)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (.f64 2 (.f64 (*.f64 y z) 0))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (.f64 2 (.f64 (*.f64 y z) 0))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 (*.f64 y z) 0) 1)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (.f64 (.f64 (*.f64 y z) 0) 1)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (fma.f64 (.f64 y (neg.f64 z)) 1 (.f64 y z))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y (neg.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(fma.f64 y (neg.f64 z) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(+.f64 (.f64 (sqrt.f64 (.f64 y z)) (neg.f64 (sqrt.f64 (.f64 y z)))) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sqrt.f64 (.f64 y z)) (neg.f64 (sqrt.f64 (.f64 y z)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 (.f64 y z) 0)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(fma.f64 y (neg.f64 z) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))))
(+.f64 (.f64 (sqrt.f64 (.f64 y z)) (neg.f64 (sqrt.f64 (.f64 y z)))) (.f64 (cos.f64 y) x))
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 y z) (fma.f64 x (cos.f64 y) (.f64 y z)))))
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(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) 3) 1/3)
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(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
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(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 y (neg.f64 z)))
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(-.f64 (.f64 (cos.f64 y) 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	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	7.1b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series6.0ms (0%)

Counts

2 → 8

Calls

12 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

61 → 62

Calls

Call 1

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

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

eval487.0ms (3.7%)

Compiler: Compiled 27394 to 10840 computations (60.4% saved)

prune383.0ms (2.9%)

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	1084	8	1092
Fresh	2	9	11
Picked	1	0	1
Done	2	7	9
Total	1089	24	1113

Error

Counts

1113 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.5b	(fma.f64 y (neg.f64 z) x)
	45.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z))) 2)
	43.5b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
	48.0b	(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 z z)) z)
	51.7b	(/.f64 (neg.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
	47.7b	(/.f64 (neg.f64 (sin.f64 y)) (/.f64 z (*.f64 z z)))
	42.0b	(-.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 -1/2 (.f64 y y))) (.f64 x (.f64 -1/2 (.f64 y y))))) (-.f64 x (.f64 x (.f64 -1/2 (.f64 y y))))) (.f64 y z))
	32.4b	(-.f64 (+.f64 (.f64 x (.f64 -1/2 (.f64 y y))) x) (.f64 y z))
	25.2b	(-.f64 (.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (.f64 y z))
	0.2b	(-.f64 (.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1)) (.f64 z (sin.f64 y)))
	0.2b	(-.f64 (.f64 x (.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
✓	0.1b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	35.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	25.2b	(-.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 y z))
	52.9b	(-.f64 (.f64 -1/2 (.f64 y (.f64 y x))) (.f64 y z))
	35.9b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	31.5b	(-.f64 x (*.f64 y z))
	0.2b	(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
	0.4b	(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 2 (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
✓	34.0b	(*.f64 (sin.f64 y) (neg.f64 z))
	28.9b	(*.f64 (cos.f64 y) x)
✓	52.4b	(*.f64 z (neg.f64 y))
	40.8b	x

Compiler

Compiled 361 to 230 computations (36.3% saved)

regimes113.0ms (0.9%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	y
25.0ms	z
22.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
22.0ms	x

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 667 to 207 computations (69% saved)

regimes138.0ms (1%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
41.0ms	y
19.0ms	z
16.0ms	x

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 409 to 149 computations (63.6% saved)

regimes123.0ms (0.9%)

Counts

17 → 3

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (.f64 -1/2 (.f64 y (.f64 y x))) (.f64 y z))
(-.f64 (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y z))
(-.f64 (+.f64 (.f64 x (.f64 -1/2 (.f64 y y))) 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 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 -1/2 (.f64 y y))) (.f64 x (.f64 -1/2 (.f64 y y))))) (-.f64 x (.f64 x (.f64 -1/2 (.f64 y y))))) (.f64 y z))
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 z (*.f64 z z)))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 z z)) z)
(-.f64 (.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (.f64 y z))

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

Calls

3 calls:

62.0ms	y
32.0ms	z
25.0ms	x

Results

Error	Segments	Branch
7.4b	3	`x`
8.9b	7	`y`
7.5b	3	`z`

Compiler

Compiled 178 to 76 computations (57.3% saved)

bsearch90.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	1.0824297622222465e+109	1.052967486989943e+128
44.0ms	-2.151325331884019e+75	-5.9472908998022306e+57

Results

38.0ms	84×	body	1024	valid
31.0ms	189×	body	256	valid
17.0ms	47×	body	512	valid

Compiler

Compiled 378 to 273 computations (27.8% saved)

regimes123.0ms (0.9%)

Counts

12 → 8

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (.f64 -1/2 (.f64 y (.f64 y x))) (.f64 y z))
(-.f64 (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y z))
(-.f64 (+.f64 (.f64 x (.f64 -1/2 (.f64 y y))) 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 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 -1/2 (.f64 y y))) (.f64 x (.f64 -1/2 (.f64 y y))))) (-.f64 x (.f64 x (.f64 -1/2 (.f64 y y))))) (.f64 y z))
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(fma.f64 y (neg.f64 z) x)

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

Calls

3 calls:

66.0ms	y
28.0ms	z
25.0ms	x

Results

Error	Segments	Branch
15.3b	3	`x`
10.1b	8	`y`
14.3b	3	`z`

Compiler

Compiled 134 to 61 computations (54.5% saved)

bsearch301.0ms (2.3%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
51.0ms	4.649163288632216e+183	7.795991066207641e+184
42.0ms	3.9251245605802027e+130	6.168499509415269e+133
49.0ms	5.1329369966700305e+76	2.1610324732394533e+87
21.0ms	1678.7378184925833	107094.674876093
29.0ms	-1127.9774168864633	-1.581025814743203e-12
43.0ms	-1.1127294148169461e+182	-8.72563101766439e+180
65.0ms	-1.455451605760223e+212	-2.0041789809035995e+207

Results

155.0ms	352×	body	1024	valid
87.0ms	288×	body	512	valid
47.0ms	272×	body	256	valid

Compiler

Compiled 997 to 747 computations (25.1% saved)

regimes95.0ms (0.7%)

Counts

11 → 8

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (.f64 -1/2 (.f64 y (.f64 y x))) (.f64 y z))
(-.f64 (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y z))
(-.f64 (+.f64 (.f64 x (.f64 -1/2 (.f64 y y))) 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 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 -1/2 (.f64 y y))) (.f64 x (.f64 -1/2 (.f64 y y))))) (-.f64 x (.f64 x (.f64 -1/2 (.f64 y y))))) (.f64 y z))
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))

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

Calls

3 calls:

46.0ms	y
23.0ms	z
23.0ms	x

Results

Error	Segments	Branch
15.3b	3	`x`
10.1b	8	`y`
14.3b	3	`z`

Compiler

Compiled 129 to 60 computations (53.5% saved)

bsearch439.0ms (3.3%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
87.0ms	4.649163288632216e+183	7.795991066207641e+184
39.0ms	3.9251245605802027e+130	6.168499509415269e+133
150.0ms	5.1329369966700305e+76	2.1610324732394533e+87
22.0ms	1678.7378184925833	107094.674876093
28.0ms	-1127.9774168864633	-1.581025814743203e-12
43.0ms	-1.1127294148169461e+182	-8.72563101766439e+180
69.0ms	-1.455451605760223e+212	-2.0041789809035995e+207

Results

194.0ms	352×	body	1024	valid
185.0ms	288×	body	512	valid
46.0ms	272×	body	256	valid

Compiler

Compiled 997 to 747 computations (25.1% saved)

regimes52.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (.f64 -1/2 (.f64 y (.f64 y x))) (.f64 y z))
(-.f64 (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y z))
(-.f64 (+.f64 (.f64 x (.f64 -1/2 (.f64 y y))) 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 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 -1/2 (.f64 y y))) (.f64 x (.f64 -1/2 (.f64 y y))))) (-.f64 x (.f64 x (.f64 -1/2 (.f64 y y))))) (.f64 y z))
(*.f64 (cos.f64 y) x)

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

Calls

3 calls:

18.0ms	x
16.0ms	y
15.0ms	z

Results

Error	Segments	Branch
21.9b	3	`x`
18.8b	3	`y`
23.4b	3	`z`

Compiler

Compiled 119 to 56 computations (52.9% saved)

bsearch69.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1678.7378184925833	107094.674876093
50.0ms	-4591544037.453747	-66195.36925922016

Results

66.0ms

256×

body

256

valid

Compiler

Compiled 290 to 205 computations (29.3% saved)

regimes26.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (.f64 -1/2 (.f64 y (.f64 y x))) (.f64 y z))
(-.f64 (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y z))
(-.f64 (+.f64 (.f64 x (.f64 -1/2 (.f64 y y))) 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 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 -1/2 (.f64 y y))) (.f64 x (.f64 -1/2 (.f64 y y))))) (-.f64 x (.f64 x (.f64 -1/2 (.f64 y y))))) (.f64 y z))

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

Calls

3 calls:

7.0ms	y
5.0ms	z
5.0ms	x

Results

Error	Segments	Branch
31.5b	1	`x`
31.5b	1	`y`
31.5b	1	`z`

Compiler

Compiled 115 to 54 computations (53% saved)

regimes30.0ms (0.2%)

Accuracy

Total -27.7b remaining (-79.5%)

Threshold costs -27.7b (-79.5%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	x
12.0ms	z
3.0ms	y

Results

Error	Segments	Branch
34.8b	5	`x`
40.8b	1	`y`
37.1b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch141.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
32.0ms	1.0211535694575617e-88	2.5950593727692462e-86
44.0ms	3.2194511730208e-145	1.3069293927775357e-131
18.0ms	2.443313834883084e-194	3.5338297412302494e-194
46.0ms	-6.5165547407518655e-140	-1.0424156374169475e-151

Results

74.0ms	142×	body	1024	valid
45.0ms	297×	body	256	valid
16.0ms	57×	body	512	valid

Compiler

Compiled 421 to 323 computations (23.3% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative`
22×	`*-commutative`
18×	`if-if-or-not`
16×	`not-or`
10×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	589
1	132	577
2	160	577
3	179	567
4	187	567
5	193	567
6	194	567
7	195	567

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 (.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -1400000000000000035694593162559767294036500350640283004107797561344) (.f64 (cos.f64 y) x) (if (<=.f64 x 14999999999999998951799020389456595927009997252084652738923845292470844749246370855642945380341381701365842051072) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -639999999999999988392364691719006846907345549886962286193707186860744838818523196089510442220998196831586855457452566835521815324265141909076079779212617232247090794303034932669267922286878455140668802273902592) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -70000000000000001568775766514858510319233010290117347810040467032570981858603028522496180126495870298865263907180716784362368363780348507499224184597209686197940056920640890460962816) (.f64 (cos.f64 y) x) (if (<=.f64 y -5534023222112865/18446744073709551616) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1700) (fma.f64 y (neg.f64 z) x) (if (<=.f64 y 23999999999999999795761784192893772973140520916147329545761483787739319631293186048) (.f64 (cos.f64 y) x) (if (<=.f64 y 54000000000000004233037383294846439912561689916287841856709692687807734343737588864342931014938518169670472257684695963944789798289408) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 22500000000000001805760948689883402694843161259965271721674454926406847258398905123188354972773220915944591612906925897555903988029875495746525910503077358355457500095812113772790677504) (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y))))))))))
(if (<=.f64 y -2800000000000000108902017143047487607660642980265656373360466696215356240102777109366239037020575638845140888734353972157888777119464251726312514282195530329924168415353274419247860762614366494141022738579456) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -54999999999999999126603713410367985651744139230031436830142721632488568125394399505608515193056547597475204466323483086447455148124378235930983829234418864735081109772079425289977856) (.f64 (cos.f64 y) x) (if (<=.f64 y -6050532056176733/73786976294838206464) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1700) (-.f64 x (.f64 y z)) (if (<=.f64 y 50000000000000001540333161548262845388512602003821673173044872034706992645665718272) (.f64 (cos.f64 y) x) (if (<=.f64 y 40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 61000000000000000870058652194039782692805461917307919689601442689610995632594755849755989152337512258025719294378313722474184112510672339824179974333008696809266020953770395224655265792) (.f64 (cos.f64 y) x) (.f64 z (neg.f64 (sin.f64 y))))))))))
(if (<=.f64 y -68000) (.f64 (cos.f64 y) x) (if (<=.f64 y 1700) (-.f64 x (.f64 y z)) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -414619895305101/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) x (if (<=.f64 x 2876636821159267/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (.f64 z (neg.f64 y)) (if (<=.f64 x 3437060138290949/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) x (if (<=.f64 x 4658669063729833/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (.f64 z (neg.f64 y)) x))))
x

Outputs
(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 (.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(-.f64 (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -1400000000000000035694593162559767294036500350640283004107797561344) (.f64 (cos.f64 y) x) (if (<=.f64 x 14999999999999998951799020389456595927009997252084652738923845292470844749246370855642945380341381701365842051072) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -1400000000000000035694593162559767294036500350640283004107797561344) (not (<=.f64 x 14999999999999998951799020389456595927009997252084652738923845292470844749246370855642945380341381701365842051072))) (.f64 x (cos.f64 y)) (-.f64 x (.f64 z (sin.f64 y))))
(if (<=.f64 y -639999999999999988392364691719006846907345549886962286193707186860744838818523196089510442220998196831586855457452566835521815324265141909076079779212617232247090794303034932669267922286878455140668802273902592) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -70000000000000001568775766514858510319233010290117347810040467032570981858603028522496180126495870298865263907180716784362368363780348507499224184597209686197940056920640890460962816) (.f64 (cos.f64 y) x) (if (<=.f64 y -5534023222112865/18446744073709551616) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1700) (fma.f64 y (neg.f64 z) x) (if (<=.f64 y 23999999999999999795761784192893772973140520916147329545761483787739319631293186048) (.f64 (cos.f64 y) x) (if (<=.f64 y 54000000000000004233037383294846439912561689916287841856709692687807734343737588864342931014938518169670472257684695963944789798289408) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 22500000000000001805760948689883402694843161259965271721674454926406847258398905123188354972773220915944591612906925897555903988029875495746525910503077358355457500095812113772790677504) (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y))))))))))
(if (<=.f64 y -639999999999999988392364691719006846907345549886962286193707186860744838818523196089510442220998196831586855457452566835521815324265141909076079779212617232247090794303034932669267922286878455140668802273902592) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -70000000000000001568775766514858510319233010290117347810040467032570981858603028522496180126495870298865263907180716784362368363780348507499224184597209686197940056920640890460962816) (.f64 x (cos.f64 y)) (if (<=.f64 y -5534023222112865/18446744073709551616) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1700) (fma.f64 y (neg.f64 z) x) (if (<=.f64 y 23999999999999999795761784192893772973140520916147329545761483787739319631293186048) (.f64 x (cos.f64 y)) (if (or (<=.f64 y 54000000000000004233037383294846439912561689916287841856709692687807734343737588864342931014938518169670472257684695963944789798289408) (not (<=.f64 y 22500000000000001805760948689883402694843161259965271721674454926406847258398905123188354972773220915944591612906925897555903988029875495746525910503077358355457500095812113772790677504))) (.f64 z (neg.f64 (sin.f64 y))) (.f64 x (cos.f64 y))))))))
(if (<=.f64 y -639999999999999988392364691719006846907345549886962286193707186860744838818523196089510442220998196831586855457452566835521815324265141909076079779212617232247090794303034932669267922286878455140668802273902592) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -70000000000000001568775766514858510319233010290117347810040467032570981858603028522496180126495870298865263907180716784362368363780348507499224184597209686197940056920640890460962816) (.f64 x (cos.f64 y)) (if (<=.f64 y -5534023222112865/18446744073709551616) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 1700) (fma.f64 y (neg.f64 z) x) (if (or (<=.f64 y 23999999999999999795761784192893772973140520916147329545761483787739319631293186048) (not (or (<=.f64 y 54000000000000004233037383294846439912561689916287841856709692687807734343737588864342931014938518169670472257684695963944789798289408) (not (<=.f64 y 22500000000000001805760948689883402694843161259965271721674454926406847258398905123188354972773220915944591612906925897555903988029875495746525910503077358355457500095812113772790677504))))) (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 y -639999999999999988392364691719006846907345549886962286193707186860744838818523196089510442220998196831586855457452566835521815324265141909076079779212617232247090794303034932669267922286878455140668802273902592) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -70000000000000001568775766514858510319233010290117347810040467032570981858603028522496180126495870298865263907180716784362368363780348507499224184597209686197940056920640890460962816) (.f64 x (cos.f64 y)) (if (<=.f64 y -5534023222112865/18446744073709551616) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 1700) (fma.f64 y (neg.f64 z) x) (if (or (<=.f64 y 23999999999999999795761784192893772973140520916147329545761483787739319631293186048) (and (not (<=.f64 y 54000000000000004233037383294846439912561689916287841856709692687807734343737588864342931014938518169670472257684695963944789798289408)) (<=.f64 y 22500000000000001805760948689883402694843161259965271721674454926406847258398905123188354972773220915944591612906925897555903988029875495746525910503077358355457500095812113772790677504))) (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 y -2800000000000000108902017143047487607660642980265656373360466696215356240102777109366239037020575638845140888734353972157888777119464251726312514282195530329924168415353274419247860762614366494141022738579456) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -54999999999999999126603713410367985651744139230031436830142721632488568125394399505608515193056547597475204466323483086447455148124378235930983829234418864735081109772079425289977856) (.f64 (cos.f64 y) x) (if (<=.f64 y -6050532056176733/73786976294838206464) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1700) (-.f64 x (.f64 y z)) (if (<=.f64 y 50000000000000001540333161548262845388512602003821673173044872034706992645665718272) (.f64 (cos.f64 y) x) (if (<=.f64 y 40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 61000000000000000870058652194039782692805461917307919689601442689610995632594755849755989152337512258025719294378313722474184112510672339824179974333008696809266020953770395224655265792) (.f64 (cos.f64 y) x) (.f64 z (neg.f64 (sin.f64 y))))))))))
(if (<=.f64 y -2800000000000000108902017143047487607660642980265656373360466696215356240102777109366239037020575638845140888734353972157888777119464251726312514282195530329924168415353274419247860762614366494141022738579456) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -54999999999999999126603713410367985651744139230031436830142721632488568125394399505608515193056547597475204466323483086447455148124378235930983829234418864735081109772079425289977856) (.f64 x (cos.f64 y)) (if (<=.f64 y -6050532056176733/73786976294838206464) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 1700) (-.f64 x (.f64 z y)) (if (<=.f64 y 50000000000000001540333161548262845388512602003821673173044872034706992645665718272) (.f64 x (cos.f64 y)) (if (or (<=.f64 y 40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992) (not (<=.f64 y 61000000000000000870058652194039782692805461917307919689601442689610995632594755849755989152337512258025719294378313722474184112510672339824179974333008696809266020953770395224655265792))) (.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y))))))))
(if (<=.f64 y -2800000000000000108902017143047487607660642980265656373360466696215356240102777109366239037020575638845140888734353972157888777119464251726312514282195530329924168415353274419247860762614366494141022738579456) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -54999999999999999126603713410367985651744139230031436830142721632488568125394399505608515193056547597475204466323483086447455148124378235930983829234418864735081109772079425289977856) (.f64 x (cos.f64 y)) (if (<=.f64 y -6050532056176733/73786976294838206464) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 1700) (-.f64 x (.f64 z y)) (if (or (<=.f64 y 50000000000000001540333161548262845388512602003821673173044872034706992645665718272) (not (or (<=.f64 y 40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992) (not (<=.f64 y 61000000000000000870058652194039782692805461917307919689601442689610995632594755849755989152337512258025719294378313722474184112510672339824179974333008696809266020953770395224655265792))))) (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 y -2800000000000000108902017143047487607660642980265656373360466696215356240102777109366239037020575638845140888734353972157888777119464251726312514282195530329924168415353274419247860762614366494141022738579456) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -54999999999999999126603713410367985651744139230031436830142721632488568125394399505608515193056547597475204466323483086447455148124378235930983829234418864735081109772079425289977856) (.f64 x (cos.f64 y)) (if (<=.f64 y -6050532056176733/73786976294838206464) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 1700) (-.f64 x (.f64 z y)) (if (or (<=.f64 y 50000000000000001540333161548262845388512602003821673173044872034706992645665718272) (and (not (<=.f64 y 40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992)) (<=.f64 y 61000000000000000870058652194039782692805461917307919689601442689610995632594755849755989152337512258025719294378313722474184112510672339824179974333008696809266020953770395224655265792))) (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 y -68000) (.f64 (cos.f64 y) x) (if (<=.f64 y 1700) (-.f64 x (.f64 y z)) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -68000) (not (<=.f64 y 1700))) (.f64 x (cos.f64 y)) (-.f64 x (.f64 z y)))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 z y))
(if (<=.f64 x -414619895305101/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) x (if (<=.f64 x 2876636821159267/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (.f64 z (neg.f64 y)) (if (<=.f64 x 3437060138290949/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) x (if (<=.f64 x 4658669063729833/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (.f64 z (neg.f64 y)) x))))
(if (<=.f64 x -414619895305101/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) x (if (<=.f64 x 2876636821159267/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (.f64 y (neg.f64 z)) (if (<=.f64 x 3437060138290949/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) x (if (<=.f64 x 4658669063729833/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (.f64 y (neg.f64 z)) x))))
(if (<=.f64 x -414619895305101/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) x (if (or (<=.f64 x 2876636821159267/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (and (not (<=.f64 x 3437060138290949/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688)) (<=.f64 x 4658669063729833/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416))) (*.f64 y (neg.f64 z)) x))
x

Compiler

Compiled 235 to 137 computations (41.7% saved)

soundness0.0ms (0%)

end110.0ms (0.8%)

Compiler: Compiled 211 to 89 computations (57.8% 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