Details

analyze271.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.4s (25.9%)

Results

1.1s	2028×	body	1024	valid
883.0ms	5126×	body	256	valid
430.0ms	1094×	body	512	valid
6.0ms	8×	body	2048	valid

Bogosity

preprocess8.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

32×	`fma-def`
16×	`*-commutative`
8×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	92
1	41	92
2	53	92
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 (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 y (sin.f64 x)) (.f64 z (cos.f64 x)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 z)) (.f64 y (cos.f64 z)))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def`
4×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	16	23
2	19	23

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series28.0ms (0.3%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
22.0ms	z	@	0	(*.f64 z (cos.f64 y))
1.0ms	x	@	0	(*.f64 x (sin.f64 y))
1.0ms	z	@	-inf	(*.f64 z (cos.f64 y))
1.0ms	y	@	0	(*.f64 x (sin.f64 y))
0.0ms	x	@	inf	(*.f64 x (sin.f64 y))

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`*-commutative`
920×	`unswap-sqr`
660×	`swap-sqr`
474×	`distribute-lft-in`
468×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	226	50
2	2919	50

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) (-.f64 1 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 y)))) (-.f64 1 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (-.f64 (.f64 (.f64 x (sin.f64 y)) (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 3) (pow.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) 3))) (+.f64 (.f64 (.f64 x (sin.f64 y)) (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (-.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (/.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 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simplify171.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

814×	`distribute-lft-neg-in`
764×	`associate-+r+`
682×	`+-commutative`
646×	`associate-r`
632×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	8375
1	977	7853
2	4762	7841

Stop Event

1×	node limit

Counts

213 → 225

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`*-commutative`
908×	`cbrt-prod`
826×	`sqrt-prod`
730×	`unswap-sqr`
564×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	213	23
2	2507	23

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

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

Outputs

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

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-+r+`
1310×	`associate-+l+`
670×	`fma-def`
646×	`*-commutative`
584×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	3325
1	393	3267
2	1737	3195
3	5608	3195

Stop Event

1×	node limit

Counts

85 → 89

Calls

Call 1

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

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

eval138.0ms (1.5%)

Compiler: Compiled 9040 to 2852 computations (68.5% saved)

prune77.0ms (0.8%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	357	21	378
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	357	23	380

Error

0.0b

Counts

380 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	31.3b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
	26.3b	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
	40.2b	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))
	0.2b	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	29.4b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
▶	0.6b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
▶	22.5b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
▶	31.1b	(+.f64 (*.f64 y x) z)
	32.2b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
	0.5b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
▶	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	0.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
	16.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (exp.f64 (log.f64 (cos.f64 y)))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	28.5b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	17.3b	(+.f64 (*.f64 x (sin.f64 y)) z)
	40.6b	(*.f64 (sin.f64 y) x)
	22.5b	(*.f64 (cos.f64 y) z)
	39.0b	z

Compiler

Compiled 639 to 420 computations (34.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 y)))
✓	0.6b	(expm1.f64 (cos.f64 y))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

974×	`associate-/l*`
962×	`fma-def`
954×	`unswap-sqr`
764×	`associate-/r*`
580×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1172
1	345	1144
2	1519	1096
3	5245	1092

Stop Event

1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`*-commutative`
866×	`unswap-sqr`
614×	`swap-sqr`
458×	`distribute-lft-in`
452×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	207	19
2	2701	19

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

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

Outputs

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

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1732×	`distribute-lft-in`
1690×	`associate-/r*`
1600×	`associate-*r/`
1286×	`associate-*l/`
550×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	258	6210
1	715	5892
2	3129	5892

Stop Event

1×	node limit

Counts

122 → 147

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
✓	0.1b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
	0.1b	(*.f64 x (sin.f64 y))
✓	38.4b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1638×	`*-un-lft-identity`
1538×	`add-cube-cbrt`
1522×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	205	28
2	2196	28

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1150×	`fma-def`
916×	`*-commutative`
906×	`distribute-lft-out`
734×	`distribute-lft-neg-in`
724×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	1915
1	450	1863
2	1870	1797
3	6045	1781

Stop Event

1×	node limit

Counts

107 → 95

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 z 3)
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (.f64 -1/720 (pow.f64 z 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z)) (.f64 -1/24 (pow.f64 z 3)))))) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (cos.f64 y)) 1)
(.f64 1 (.f64 z (cos.f64 y)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3))
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1)
(.f64 z (.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (cos.f64 y) (.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1)
(.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1) (.f64 z (cos.f64 y)))
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 z (cos.f64 y)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))

Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cos.f64 y) (.f64 z (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cos.f64 y) (.f64 z (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cos.f64 y) (.f64 z (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cos.f64 y) (.f64 z (neg.f64 (cbrt.f64 -1))))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(fma.f64 z (.f64 y (.f64 y -1/2)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(pow.f64 z 3)
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3))
(fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3))
(fma.f64 y (.f64 y (.f64 (pow.f64 z 3) -3/2)) (pow.f64 z 3))
(.f64 (pow.f64 z 3) (+.f64 1 (.f64 (*.f64 y y) -3/2)))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))
(+.f64 (fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3)) (.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (.f64 z (.f64 (.f64 z z) 1/3))))))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (fma.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) 13/24)) (pow.f64 z 3)))
(fma.f64 y (.f64 y (.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 z 3) 7/8) (pow.f64 z 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (.f64 (pow.f64 z 3) (+.f64 1 (.f64 (.f64 y y) -3/2))))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (.f64 -1/720 (pow.f64 z 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z)) (.f64 -1/24 (pow.f64 z 3)))))) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))))
(+.f64 (fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3)) (fma.f64 (pow.f64 y 6) (fma.f64 (.f64 (.f64 z z) -2/45) z (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (.f64 z (.f64 (.f64 z z) 1/3)) (.f64 (pow.f64 z 3) -1/24)))) (.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (.f64 z (.f64 (.f64 z z) 1/3)))))))
(+.f64 (fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)) (fma.f64 (pow.f64 y 6) (+.f64 (.f64 (pow.f64 z 3) -2/45) (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) -1/24)))) (.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) 13/24)))))
(fma.f64 y (.f64 y (.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 (pow.f64 z 3) -2/45 (fma.f64 -1/2 (.f64 (pow.f64 z 3) 1/3) (*.f64 (pow.f64 z 3) -31/720))) (pow.f64 z 3))))
(fma.f64 y (.f64 y (.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (fma.f64 (pow.f64 y 6) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 3) 1/3)) (.f64 (pow.f64 z 3) -7/80)) (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(.f64 1 (.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (cos.f64 y) z)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (cos.f64 y) z)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2)))
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 (cos.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 z (.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (cos.f64 y) (.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1) (.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 z (cos.f64 y)))))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
✓	9.0b	(cbrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series10.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`add-sqr-sqrt`
1624×	`*-un-lft-identity`
1524×	`add-cube-cbrt`
1504×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	203	26
2	2138	26

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-+r+`
1570×	`associate-+l+`
1066×	`unswap-sqr`
536×	`distribute-lft-neg-in`
536×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1035
1	258	1035
2	862	1035
3	3375	1035

Stop Event

1×	node limit

Counts

73 → 63

Calls

Call 1

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

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

eval412.0ms (4.4%)

Compiler: Compiled 12528 to 4938 computations (60.6% saved)

prune178.0ms (1.9%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	585	15	600
Fresh	8	8	16
Picked	1	0	1
Done	1	5	6
Total	595	28	623

Error

0.0b

Counts

623 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	31.3b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
▶	22.6b	(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 y x))))
▶	0.2b	(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	1.0b	(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 3) 3) (.f64 z (cos.f64 y)))
	29.4b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3)) 3) (.f64 z (cos.f64 y)))
	17.7b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	0.6b	(+.f64 (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (*.f64 z (cos.f64 y)))
	33.4b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
▶	22.7b	(+.f64 (.f64 y x) (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
	32.4b	(+.f64 (.f64 y x) (.f64 z (+.f64 1 (.f64 -1/2 (.f64 y y)))))
	22.7b	(+.f64 (.f64 y x) (.f64 z (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
	22.5b	(+.f64 (.f64 y x) (.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
✓	22.5b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
	43.6b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	31.1b	(+.f64 (*.f64 y x) z)
	32.2b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 2))
	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	16.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (exp.f64 (log.f64 (cos.f64 y)))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	17.3b	(+.f64 (*.f64 x (sin.f64 y)) z)
	40.6b	(*.f64 (sin.f64 y) x)
	22.5b	(*.f64 (cos.f64 y) z)
▶	53.7b	(*.f64 y x)
	39.0b	z

Compiler

Compiled 674 to 474 computations (29.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 14 computations (68.9% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`*-commutative`
862×	`unswap-sqr`
636×	`swap-sqr`
474×	`sqr-pow`
464×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	279	52
2	3052	52

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 (sin.f64 y) (neg.f64 x))) (*.f64 -1 (*.f64 z (neg.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) -1) (*.f64 (*.f64 z (neg.f64 (cos.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) (neg.f64 (*.f64 z (neg.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) (neg.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) 1) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) -1) (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 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simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1230×	`distribute-rgt-in`
1216×	`distribute-lft-in`
892×	`associate-/r/`
728×	`associate-/l/`
476×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	7394
1	986	6828
2	4216	6824

Stop Event

1×	node limit

Counts

172 → 184

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
✓	0.0b	(fma.f64 z (cos.f64 y) (*.f64 y x))
✓	0.2b	(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 y x))))
✓	0.5b	(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 y x)))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series6.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite154.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`*-commutative`
808×	`unswap-sqr`
590×	`swap-sqr`
450×	`associate-*r/`
438×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	260	63
2	2834	63

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

Inputs
(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 y x)))
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))

Outputs

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

simplify143.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

816×	`distribute-lft-neg-in`
770×	`distribute-rgt-neg-in`
606×	`distribute-lft-neg-out`
572×	`associate-r`
564×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	431	12715
1	1159	11925
2	5113	11925

Stop Event

1×	node limit

Counts

323 → 289

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
✓	0.1b	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3))
✓	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.4b	(pow.f64 (cbrt.f64 (cos.f64 y)) 3)

Compiler

Compiled 38 to 16 computations (57.9% saved)

series7.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite98.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1120×	`unswap-sqr`
782×	`swap-sqr`
540×	`distribute-rgt-in`
506×	`distribute-lft-in`
410×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	273	44
2	3228	44

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

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

Outputs
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simplify157.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

818×	`associate-r`
784×	`associate-/r/`
756×	`associate-l`
680×	`associate-/l/`
666×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	8273
1	1133	7791
2	5195	7783

Stop Event

1×	node limit

Counts

245 → 263

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)))))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
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(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (cbrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))) (/.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z)) (cbrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)))))
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (.f64 (cos.f64 y) z) (pow.f64 (.f64 (cos.f64 y) z) 3))) (.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z)) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)))) (+.f64 (.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (-.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 y x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 y x) 2) 3) (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) 3)) (.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (neg.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) 1) (-.f64 (.f64 y x) (*.f64 (cos.f64 y) z)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 y x))) (sqrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))) (sqrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 y x))) (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 y x))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))) (cbrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 y x))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 y x) 2)) 1) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) 1) (neg.f64 (-.f64 (.f64 y x) (*.f64 (cos.f64 y) z))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 y x)))) (sqrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3))) (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 y x)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 y x))) 2)) (cbrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 y x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (.f64 (cos.f64 y) z) (pow.f64 (.f64 (cos.f64 y) z) 3))) (/.f64 1 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 y x) 2) 3) (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) 3)) (/.f64 1 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z)))) (+.f64 (.f64 (.f64 y x) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (+.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (cos.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)))))) (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)))))) (+.f64 (.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (-.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 y x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) 1) (-.f64 (.f64 y x) (.f64 (cos.f64 y) z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (sqrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z)))) (sqrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z))) (cbrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z))))) (cbrt.f64 (-.f64 (.f64 y x) (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 (cos.f64 y) z)))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 (cos.f64 y) z))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x))))))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 y x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 y x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (neg.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x)))))))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 y x)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 y x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))))
(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 y) z (.f64 y x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 x y (*.f64 (cos.f64 y) z))
(fma.f64 1 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (.f64 (cos.f64 y) z)) (*.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 1 (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))))
(+.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)))))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cos.f64 y)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 (.f64 y y) -1/6)))
(fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (*.f64 y y) -1/6 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 (.f64 y y) -1/6))))
(fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (*.f64 y y) -1/6 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(fma.f64 (.f64 y (.f64 y -1/2)) z z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(+.f64 z (.f64 z (fma.f64 1/24 (pow.f64 y 4) (.f64 y (*.f64 y -1/2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z)))
(+.f64 z (.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))) (.f64 -1/720 (pow.f64 y 6)))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 y x z))
(fma.f64 (.f64 y (.f64 y -1/2)) z (fma.f64 y x z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (+.f64 (fma.f64 y x z) (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 y x (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z)))
(+.f64 (fma.f64 y x z) (.f64 z (fma.f64 1/24 (pow.f64 y 4) (.f64 y (*.f64 y -1/2)))))
(*.f64 y x)
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(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) 3)) (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)) (pow.f64 (.f64 y x) 2))) (fma.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (-.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 y x) 3)) (pow.f64 (.f64 y x) 6)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) 1) (-.f64 (.f64 y x) (.f64 (cos.f64 y) z)))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (sqrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z)))) (sqrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z))))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z))) (cbrt.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z))))) (cbrt.f64 (-.f64 (.f64 y x) (*.f64 (cos.f64 y) z))))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 (cos.f64 y) z)))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (.f64 (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (.f64 (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 (cos.f64 y) z))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 (cos.f64 y) z)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 y x)) 1)
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))) 2)
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))) 3)
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 y x)) 3) 1/3)
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (neg.f64 (-.f64 (.f64 y x) (.f64 (cos.f64 y) z)))))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 y x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 y x (*.f64 (cos.f64 y) z)) 2))
(fabs.f64 (fma.f64 (cos.f64 y) z (*.f64 y x)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 y x)))))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 y x)) 3))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 y) z (.f64 y x))) 1))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 y x))))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 x y (*.f64 (cos.f64 y) z))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 1 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 (cos.f64 y) z))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 (cos.f64 y) z))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (*.f64 y x))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 (cos.f64 y) z))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (.f64 (cos.f64 y) z)) (*.f64 y x))
(fma.f64 y x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 y x))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 11 computations (74.4% saved)

series16.0ms (0.2%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
1.0ms	z	@	0	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`*-commutative`
928×	`sqrt-prod`
796×	`unswap-sqr`
628×	`swap-sqr`
460×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	277	50
2	2947	50

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1110×	`associate-/r*`
1070×	`associate-/l*`
1038×	`distribute-lft-in`
1024×	`distribute-rgt-in`
636×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	345	7131
1	939	6367
2	3550	6367

Stop Event

1×	node limit

Counts

125 → 184

Calls

Call 1

Inputs
(*.f64 z (cos.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))))) (pow.f64 x 2)) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))))) (pow.f64 x 2)) (.f64 (sin.f64 y) x))))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/2 z)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) z))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/2 z)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (+.f64 z (.f64 -1/6 (.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (.f64 (sin.f64 y) x))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (.f64 (sin.f64 y) x))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (.f64 (sin.f64 y) x))) (+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (.f64 (sin.f64 y) x))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))))
(sqrt.f64 z)
(+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/6 x) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2)) x) z))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 z)))))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))))))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) (-.f64 1 (.f64 x (sin.f64 y))))
(-.f64 (+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 z (cos.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1)
(.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(.f64 1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))
(.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2)))
(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4))
(.f64 (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 2) 1/4) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/4))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/6))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 4)) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 1 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) 1) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(fabs.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) 1)
(.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 1)
(.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 1 1/2))
(.f64 1 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
(.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/4) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4))
(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/4)) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1/2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) 1/2))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 3/2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2) 1/6))
(.f64 (fabs.f64 (pow.f64 1 1/2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))
(.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1/2)))
(.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 3/2))) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) 1))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4) 2)
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))

Outputs
(*.f64 z (cos.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))))) (pow.f64 x 2)) (*.f64 (sin.f64 y) x)))
(fma.f64 z (cos.f64 y) (fma.f64 (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) (.f64 -1/8 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))))) (.f64 x x) (.f64 (sin.f64 y) x)))
(fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) x (.f64 x (.f64 x (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (cos.f64 y))) -1/4))))))
(fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) x (.f64 (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) -1/4)) (*.f64 x x))))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))))) (pow.f64 x 2)) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (fma.f64 (fma.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (fma.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) (.f64 -1/8 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))))) (.f64 x x) (*.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (fma.f64 (fma.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)) -1/16)) (pow.f64 x 3) (fma.f64 (sin.f64 y) x (.f64 x (.f64 x (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) -1/4)))))))
(fma.f64 z (cos.f64 y) (fma.f64 (fma.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)) -1/16)) (pow.f64 x 3) (fma.f64 (sin.f64 y) x (.f64 (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y))) -1/4)) (.f64 x x)))))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/2 z)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) z))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) z) (.f64 z -1/2)) (pow.f64 (.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 z))) x) 2)) z))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 x (/.f64 z x)) (.f64 z -1/2)) (pow.f64 (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) 2)) z))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 z -1/2 (.f64 (/.f64 1/4 z) (.f64 x x))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 x 1/2)) 2)) z))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/2 z)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (+.f64 z (.f64 -1/6 (.f64 (pow.f64 y 3) x)))))
(fma.f64 y x (+.f64 (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) z) (.f64 z -1/2)) (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) x) 2)) z) (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 x (/.f64 z x)) (.f64 z -1/2)) (pow.f64 (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) 2)) (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 z -1/2 (.f64 (/.f64 1/4 z) (.f64 x x))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2)) (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) z)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)) 0) (.f64 z z) (.f64 (sin.f64 y) x)))
(fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) x (.f64 z (.f64 z 0))))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (sin.f64 y) 2)) (.f64 x x)) 0) (pow.f64 z 3) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)) 0) (.f64 z z) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (fma.f64 (pow.f64 z 3) 0 (fma.f64 (sin.f64 y) x (.f64 z (.f64 z 0)))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (.f64 (sin.f64 y) x))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 z (cos.f64 y))))) (sqrt.f64 (.f64 z (cos.f64 y))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (.f64 (sin.f64 y) x))) (+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 z (cos.f64 y))))) (sqrt.f64 (.f64 z (cos.f64 y)))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3))))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))) (pow.f64 (.f64 (sin.f64 y) x) 2)) (sqrt.f64 (.f64 z (cos.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (.f64 (sin.f64 y) x))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 z (cos.f64 y))))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)))) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))))))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 (/.f64 1 z) (cos.f64 y)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)))) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))) (pow.f64 (.f64 (sin.f64 y) x) 2)) (sqrt.f64 (*.f64 z (cos.f64 y))))))
(sqrt.f64 z)
(+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 (.f64 (.f64 y x) 1/2) (sqrt.f64 (/.f64 1 z)) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) x) 2)) (sqrt.f64 (/.f64 1 z)))) (fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) 2))) (.f64 (*.f64 1/2 y) x))))
(+.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2))) (.f64 (*.f64 y x) 1/2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/6 x) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2)) x) z))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 z)))))))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) x) 2)) (sqrt.f64 (/.f64 1 z)))) (+.f64 (fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)) (.f64 1/2 (.f64 (+.f64 (.f64 x -1/6) (.f64 -1/2 (/.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) x) 2)) (/.f64 z x)))) (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 z)))))))
(+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (pow.f64 y 3) (fma.f64 x -1/6 (.f64 -1/2 (/.f64 x (/.f64 z (-.f64 (.f64 z -1/2) (pow.f64 (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) 2)))))))) (sqrt.f64 z)) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) 2))) (.f64 (*.f64 1/2 y) x))))
(+.f64 (fma.f64 1/2 (.f64 (fma.f64 x -1/6 (/.f64 (.f64 -1/2 x) (/.f64 z (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2))))) (.f64 (sqrt.f64 (/.f64 1 z)) (pow.f64 y 3))) (sqrt.f64 z)) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2))) (.f64 (*.f64 y x) 1/2))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(fma.f64 1/2 (.f64 (cos.f64 y) (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (sqrt.f64 (.f64 (sin.f64 y) x)))
(fma.f64 1/2 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (sqrt.f64 (.f64 (sin.f64 y) x)))
(fma.f64 1/2 (.f64 z (.f64 (cos.f64 y) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (sqrt.f64 (.f64 (sin.f64 y) x)))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))))
(+.f64 (fma.f64 1/2 (.f64 (cos.f64 y) (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (sqrt.f64 (.f64 (sin.f64 y) x))) (.f64 (.f64 -1/8 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) x) 3)))))
(fma.f64 1/2 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (*.f64 (sin.f64 y) x))))
(fma.f64 1/2 (.f64 z (.f64 (cos.f64 y) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (*.f64 (sin.f64 y) x))))
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(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))

eval535.0ms (5.7%)

Compiler: Compiled 29595 to 11313 computations (61.8% saved)

prune492.0ms (5.2%)

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	1179	10	1189
Fresh	4	14	18
Picked	1	0	1
Done	2	7	9
Total	1186	31	1217

Error

Counts

1217 → 31

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	39.8b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)
▶	52.5b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
	22.6b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
▶	0.2b	(/.f64 1 (/.f64 1 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
	40.7b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
	53.7b	(/.f64 1 (/.f64 1 (*.f64 y x)))
▶	39.0b	(/.f64 1 (/.f64 1 z))
	39.7b	(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
	33.3b	(/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
	1.0b	(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 3) 3) (.f64 z (cos.f64 y)))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3)) 3) (.f64 z (cos.f64 y)))
	17.7b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	0.6b	(+.f64 (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (*.f64 z (cos.f64 y)))
▶	33.4b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
✓	22.7b	(+.f64 (.f64 y x) (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
	32.4b	(+.f64 (.f64 y x) (.f64 z (+.f64 1 (.f64 -1/2 (.f64 y y)))))
	22.7b	(+.f64 (.f64 y x) (.f64 z (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
✓	22.5b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
	43.6b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3)))
✓	31.1b	(+.f64 (*.f64 y x) z)
	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	16.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (exp.f64 (log.f64 (cos.f64 y)))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	17.3b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	40.6b	(*.f64 (sin.f64 y) x)
	22.5b	(*.f64 (cos.f64 y) z)
✓	53.7b	(*.f64 y x)
	39.0b	z

Compiler

Compiled 726 to 514 computations (29.2% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 15 computations (71.2% saved)

series4.0ms (0%)

Counts

4 → 80

Calls

30 calls:

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

rewrite147.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`associate-*r/`
1024×	`associate-*l/`
652×	`distribute-rgt-in`
614×	`distribute-lft-in`
450×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	292	74
2	3489	74

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

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

simplify184.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1356×	`associate-+r+`
1008×	`+-commutative`
900×	`associate-r`
736×	`associate-l`
724×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	495	11796
1	1502	10976
2	7222	10976

Stop Event

1×	node limit

Counts

234 → 275

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite130.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 y) x)
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
✓	8.7b	(sqrt.f64 (*.f64 (sin.f64 y) x))

Compiler

Compiled 24 to 9 computations (62.5% saved)

series43.0ms (0.5%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
37.0ms	y	@	inf	(sqrt.f64 (*.f64 (sin.f64 y) x))
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
1.0ms	y	@	0	(sqrt.f64 (*.f64 (sin.f64 y) x))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)

rewrite67.0ms (0.7%)

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 (sin.f64 y) x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)

Outputs

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

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-+r+`
1186×	`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	886	879
3	2880	851

Stop Event

1×	node limit

Counts

61 → 62

Calls

Call 1

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

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

localize69.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 10 computations (76.2% saved)

series4.0ms (0%)

Counts

3 → 64

Calls

21 calls:

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

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`unswap-sqr`
892×	`swap-sqr`
582×	`distribute-rgt-in`
536×	`distribute-lft-in`
420×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	266	49
2	3431	49

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

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

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

simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

780×	`associate-/r/`
678×	`associate-/l/`
602×	`associate-r`
598×	`+-commutative`
524×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	8304
1	959	7976
2	4526	7954

Stop Event

1×	node limit

Counts

182 → 204

Calls

Call 1

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

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

eval209.0ms (2.2%)

Compiler: Compiled 15917 to 5862 computations (63.2% saved)

prune231.0ms (2.4%)

Pruning

32 alts after pruning (21 fresh and 11 done)

	Pruned	Kept	Total
New	663	5	668
Fresh	3	16	19
Picked	1	0	1
Done	0	11	11
Total	667	32	699

Error

Counts

699 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	39.8b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)
✓	52.5b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
	41.0b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
	40.7b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	22.6b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
✓	0.2b	(/.f64 1 (/.f64 1 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
	40.7b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
	53.7b	(/.f64 1 (/.f64 1 (*.f64 y x)))
✓	39.0b	(/.f64 1 (/.f64 1 z))
	39.7b	(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
	33.3b	(/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
	46.5b	(-.f64 (+.f64 1 z) 1)
	1.0b	(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 3) 3) (.f64 z (cos.f64 y)))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3)) 3) (.f64 z (cos.f64 y)))
✓	22.7b	(+.f64 (.f64 y x) (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
	32.4b	(+.f64 (.f64 y x) (.f64 z (+.f64 1 (.f64 -1/2 (.f64 y y)))))
	22.7b	(+.f64 (.f64 y x) (.f64 z (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
✓	22.5b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
	43.6b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3)))
✓	31.1b	(+.f64 (*.f64 y x) z)
	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	16.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (exp.f64 (log.f64 (cos.f64 y)))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	17.3b	(+.f64 (*.f64 x (sin.f64 y)) z)
	52.4b	(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
✓	40.6b	(*.f64 (sin.f64 y) x)
	22.5b	(*.f64 (cos.f64 y) z)
✓	53.7b	(*.f64 y x)
	39.0b	z

Compiler

Compiled 394 to 281 computations (28.7% saved)

regimes146.0ms (1.5%)

Counts

53 → 1

Calls

Call 1

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

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

Calls

4 calls:

60.0ms	z
25.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
24.0ms	x
24.0ms	y

Results

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

Compiler

Compiled 618 to 233 computations (62.3% saved)

regimes77.0ms (0.8%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	y
12.0ms	z
11.0ms	x
11.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 193 to 97 computations (49.7% saved)

regimes189.0ms (2%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

74.0ms	z
61.0ms	x
50.0ms	y

Results

Error	Segments	Branch
9.5b	3	`x`
10.0b	7	`y`
7.2b	3	`z`

Compiler

Compiled 113 to 63 computations (44.2% saved)

bsearch64.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	4.116891264029865e+44	8.254331841048319e+44
43.0ms	-1.4408373988542708e+48	-9.408680617864454e+41

Results

26.0ms	59×	body	1024	valid
23.0ms	128×	body	256	valid
11.0ms	37×	body	512	valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

regimes102.0ms (1.1%)

Counts

10 → 8

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	y
32.0ms	z
22.0ms	x

Results

Error	Segments	Branch
14.2b	3	`x`
10.2b	8	`y`
13.1b	3	`z`

Compiler

Compiled 75 to 45 computations (40% saved)

bsearch292.0ms (3.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
59.0ms	4.649163288632216e+183	7.795991066207641e+184
41.0ms	3.9251245605802027e+130	6.168499509415269e+133
49.0ms	5.1329369966700305e+76	2.1610324732394533e+87
23.0ms	1678.7378184925833	107094.674876093
30.0ms	-1127.9774168864633	-1.581025814743203e-12
46.0ms	-1.1127294148169461e+182	-8.72563101766439e+180
45.0ms	-1.120750275655078e+205	-1.1323091360837104e+204

Results

145.0ms	304×	body	1024	valid
86.0ms	288×	body	512	valid
47.0ms	272×	body	256	valid

Compiler

Compiled 899 to 661 computations (26.5% saved)

regimes72.0ms (0.8%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	y
19.0ms	x
18.0ms	z

Results

Error	Segments	Branch
19.9b	2	`x`
13.7b	3	`y`
17.7b	3	`z`

Compiler

Compiled 71 to 43 computations (39.4% saved)

bsearch74.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	6.703209054154968e-26	52.15759058471396
43.0ms	-1127.9774168864633	-1.581025814743203e-12

Results

70.0ms

336×

body

256

valid

Compiler

Compiled 375 to 265 computations (29.3% saved)

regimes18.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
5.0ms	z
5.0ms	x

Results

Error	Segments	Branch
31.1b	1	`x`
31.1b	1	`y`
31.1b	1	`z`

Compiler

Compiled 67 to 41 computations (38.8% saved)

regimes20.0ms (0.2%)

Accuracy

Total -27.1b remaining (-76.8%)

Threshold costs -27.1b (-76.8%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

8.0ms	x
8.0ms	z
4.0ms	y

Results

Error	Segments	Branch
35.7b	3	`x`
39.0b	1	`y`
35.3b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch130.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
98.0ms	3.330331982695264e-178	2.193088859359328e-171
31.0ms	-1.586038849095154e-160	-1.8122140103296715e-162

Results

85.0ms	150×	body	256	valid
33.0ms	74×	body	1024	valid
9.0ms	32×	body	512	valid

Compiler

Compiled 210 to 157 computations (25.2% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`if-if-or-not`
6×	`+-commutative`
6×	`*-commutative`
4×	`not-or`
2×	`not-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	342
1	85	338
2	88	338
3	91	334
4	92	334
5	93	334

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -11000000000000000178068129441063114541765754880) (.f64 (cos.f64 y) z) (if (<=.f64 z 580000000000000035318263647924383797362032640) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 y -6999999999999999782149117136484467016682001369578158767136385688446991807570246514704397990056797968547999443602629094798380094072698906487893083213986697106262818333848458794487411496741829800668805726208) (.f64 (cos.f64 y) z) (if (<=.f64 y -104999999999999994982143288792714811882063224442463344142948941922996261115626612616509578017578078717581635748156294822113132563709888191384413171573953918825358813051476875438718976) (.f64 (sin.f64 y) x) (if (<=.f64 y -8854437155380585/36893488147419103232) (.f64 (cos.f64 y) z) (if (<=.f64 y 1700) (+.f64 (.f64 y x) z) (if (<=.f64 y 219999999999999998689481910667164581309350922710926159870254110190539023309846085632) (.f64 (sin.f64 y) x) (if (<=.f64 y 38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632) (.f64 (cos.f64 y) z) (if (<=.f64 y 20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456) (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))))))
(if (<=.f64 y -760928193040519/2305843009213693952) (.f64 (cos.f64 y) z) (if (<=.f64 y 2833419889721787/295147905179352825856) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 z -229522612567041/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) z (if (<=.f64 z 2566372847412485/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472) (*.f64 y x) z))
z

Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -11000000000000000178068129441063114541765754880) (.f64 (cos.f64 y) z) (if (<=.f64 z 580000000000000035318263647924383797362032640) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 z -11000000000000000178068129441063114541765754880) (not (<=.f64 z 580000000000000035318263647924383797362032640))) (.f64 z (cos.f64 y)) (+.f64 z (.f64 x (sin.f64 y))))
(if (<=.f64 y -6999999999999999782149117136484467016682001369578158767136385688446991807570246514704397990056797968547999443602629094798380094072698906487893083213986697106262818333848458794487411496741829800668805726208) (.f64 (cos.f64 y) z) (if (<=.f64 y -104999999999999994982143288792714811882063224442463344142948941922996261115626612616509578017578078717581635748156294822113132563709888191384413171573953918825358813051476875438718976) (.f64 (sin.f64 y) x) (if (<=.f64 y -8854437155380585/36893488147419103232) (.f64 (cos.f64 y) z) (if (<=.f64 y 1700) (+.f64 (.f64 y x) z) (if (<=.f64 y 219999999999999998689481910667164581309350922710926159870254110190539023309846085632) (.f64 (sin.f64 y) x) (if (<=.f64 y 38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632) (.f64 (cos.f64 y) z) (if (<=.f64 y 20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456) (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))))))
(if (<=.f64 y -6999999999999999782149117136484467016682001369578158767136385688446991807570246514704397990056797968547999443602629094798380094072698906487893083213986697106262818333848458794487411496741829800668805726208) (.f64 z (cos.f64 y)) (if (<=.f64 y -104999999999999994982143288792714811882063224442463344142948941922996261115626612616509578017578078717581635748156294822113132563709888191384413171573953918825358813051476875438718976) (.f64 x (sin.f64 y)) (if (<=.f64 y -8854437155380585/36893488147419103232) (.f64 z (cos.f64 y)) (if (<=.f64 y 1700) (+.f64 z (.f64 x y)) (if (<=.f64 y 219999999999999998689481910667164581309350922710926159870254110190539023309846085632) (.f64 x (sin.f64 y)) (if (or (<=.f64 y 38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632) (not (<=.f64 y 20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456))) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(if (<=.f64 y -6999999999999999782149117136484467016682001369578158767136385688446991807570246514704397990056797968547999443602629094798380094072698906487893083213986697106262818333848458794487411496741829800668805726208) (.f64 z (cos.f64 y)) (if (<=.f64 y -104999999999999994982143288792714811882063224442463344142948941922996261115626612616509578017578078717581635748156294822113132563709888191384413171573953918825358813051476875438718976) (.f64 x (sin.f64 y)) (if (<=.f64 y -8854437155380585/36893488147419103232) (.f64 z (cos.f64 y)) (if (<=.f64 y 1700) (+.f64 z (.f64 x y)) (if (or (<=.f64 y 219999999999999998689481910667164581309350922710926159870254110190539023309846085632) (not (or (<=.f64 y 38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632) (not (<=.f64 y 20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456))))) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))))
(if (<=.f64 y -6999999999999999782149117136484467016682001369578158767136385688446991807570246514704397990056797968547999443602629094798380094072698906487893083213986697106262818333848458794487411496741829800668805726208) (.f64 z (cos.f64 y)) (if (<=.f64 y -104999999999999994982143288792714811882063224442463344142948941922996261115626612616509578017578078717581635748156294822113132563709888191384413171573953918825358813051476875438718976) (.f64 x (sin.f64 y)) (if (<=.f64 y -8854437155380585/36893488147419103232) (.f64 z (cos.f64 y)) (if (<=.f64 y 1700) (+.f64 z (.f64 x y)) (if (or (<=.f64 y 219999999999999998689481910667164581309350922710926159870254110190539023309846085632) (and (not (<=.f64 y 38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632)) (<=.f64 y 20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456))) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))))
(if (<=.f64 y -760928193040519/2305843009213693952) (.f64 (cos.f64 y) z) (if (<=.f64 y 2833419889721787/295147905179352825856) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -760928193040519/2305843009213693952) (not (<=.f64 y 2833419889721787/295147905179352825856))) (.f64 z (cos.f64 y)) (+.f64 z (.f64 x y)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 z -229522612567041/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) z (if (<=.f64 z 2566372847412485/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472) (*.f64 y x) z))
(if (<=.f64 z -229522612567041/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) z (if (<=.f64 z 2566372847412485/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472) (*.f64 x y) z))
z

Compiler

Compiled 151 to 93 computations (38.4% saved)

soundness13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def`
4×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	16	23
2	19	23

Stop Event

1×

saturated

Compiler

Compiled 20 to 9 computations (55% saved)

end98.0ms (1%)

Compiler: Compiled 130 to 54 computations (58.5% saved)