Details

analyze509.0ms (5.1%)

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)

sample2.5s (25%)

Results

1.2s	2107×	body	1024	valid
886.0ms	5073×	body	256	valid
401.0ms	1072×	body	512	valid
3.0ms	4×	body	2048	valid

Bogosity

preprocess18.0ms (0.2%)

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

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite82.0ms (0.8%)

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	45
1	226	45
2	2919	45

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

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

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

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Rules

650×	`associate-+r+`
634×	`distribute-lft-neg-in`
622×	`+-commutative`
600×	`distribute-rgt-neg-in`
562×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	7858
1	869	7414
2	4088	7408

Stop Event

1×	node limit

Counts

174 → 197

Calls

Call 1

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

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

eval56.0ms (0.6%)

Compiler: Compiled 5937 to 1851 computations (68.8% saved)

prune48.0ms (0.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	180	17	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	180	18	198

Error

0.0b

Counts

198 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
▶	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	28.5b	(fma.f64 y z x)
	42.9b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 4) (pow.f64 (.f64 z (sin.f64 y)) 4)) (.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2))))
▶	38.4b	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
	0.2b	(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
▶	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
▶	28.5b	(+.f64 (*.f64 y z) x)
	31.6b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	0.5b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	20.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	16.0b	(+.f64 x (*.f64 z (sin.f64 y)))
	36.4b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))
	29.8b	(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2))
	29.5b	(.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))
	41.2b	(*.f64 z (sin.f64 y))

Compiler

Compiled 682 to 390 computations (42.8% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	0.1b	(*.f64 x (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	z	@	-inf	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	y	@	-inf	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	z	@	inf	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	z	@	0	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms	x	@	0	(fma.f64 (sin.f64 y) z (*.f64 x (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 (sin.f64 y) z (*.f64 x (cos.f64 y)))

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

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

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1602×	`associate-+r+`
1302×	`associate-+l+`
702×	`fma-def`
656×	`*-commutative`
584×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	3321
1	397	3267
2	1747	3193
3	5657	3193

Stop Event

1×	node limit

Counts

85 → 85

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series6.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+.f64 (*.f64 y z) x)
1.0ms	z	@	-inf	(+.f64 (*.f64 y z) x)
0.0ms	y	@	inf	(+.f64 (*.f64 y z) x)
0.0ms	z	@	inf	(+.f64 (*.f64 y z) x)
0.0ms	y	@	0	(+.f64 (*.f64 y z) x)

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`add-sqr-sqrt`
1628×	`*-un-lft-identity`
1516×	`add-cube-cbrt`
1500×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	9
2	2000	9

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-r`
1226×	`associate-l`
770×	`associate-+r+`
664×	`distribute-lft-neg-in`
622×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	916
1	220	866
2	832	866
3	4911	866

Stop Event

1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`*-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 x (cos.f64 y)) (.f64 y z))

Outputs

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

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1778×	`distribute-lft-in`
1690×	`associate-/r*`
1598×	`associate-*r/`
1290×	`associate-*l/`
552×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	258	6206
1	723	5892
2	3177	5892

Stop Event

1×	node limit

Counts

122 → 153

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.5b	(cbrt.f64 (*.f64 x (cos.f64 y)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)

rewrite59.0ms (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
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(cbrt.f64 (*.f64 x (cos.f64 y)))

Outputs

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

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

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1256×	`fma-def`
870×	`*-commutative`
744×	`distribute-lft-in`
704×	`distribute-rgt-in`
528×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	1809
1	557	1765
2	1929	1665
3	5741	1613

Stop Event

1×	node limit

Counts

81 → 95

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 1 1/3))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(.f64 (.f64 x (cos.f64 y)) 1)
(.f64 1 (.f64 x (cos.f64 y)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 x (cos.f64 y)) 1/6)) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) 1)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 1)
(.f64 1 (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)
(pow.f64 (*.f64 x (cos.f64 y)) 1/3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))

Outputs
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 x (.f64 (.f64 x -1/2) (*.f64 y y)))
(fma.f64 (.f64 x -1/2) (.f64 y y) x)
(fma.f64 x (.f64 (.f64 y y) -1/2) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 x (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 x -1/24)) (fma.f64 1/18 x (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x)))))))
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(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 1))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1/3))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
✓	2.3b	(+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))
✓	2.5b	(.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
✓	37.3b	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))

Compiler

Compiled 130 to 34 computations (73.8% saved)

series24.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
3.0ms	x	@	-inf	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
3.0ms	y	@	-inf	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
2.0ms	y	@	inf	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
1.0ms	y	@	0	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))

rewrite120.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`associate-+l+`
480×	`add-sqr-sqrt`
470×	`*-un-lft-identity`
464×	`pow1`
452×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	256
1	469	166
2	6783	166

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (pow.f64 (.f64 x (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (/.f64 1 (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (pow.f64 (.f64 x (cos.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))) 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(cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (neg.f64 (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (pow.f64 (.f64 x (cos.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (pow.f64 (exp.f64 (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 (cos.f64 y)) x) (pow.f64 (exp.f64 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 3) (pow.f64 (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (pow.f64 (.f64 x (cos.f64 y)) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z 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simplify147.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-r`
958×	`associate-l`
932×	`fma-def`
646×	`associate-/l*`
620×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	571	23096
1	1657	20032

Stop Event

1×	node limit

Counts

330 → 357

Calls

Call 1

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

Outputs
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))))) (pow.f64 x 2))) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y)))) (.f64 x x)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(fma.f64 0 (.f64 x x) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))))) (pow.f64 x 2))) (+.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))))) (.f64 (cos.f64 y) (pow.f64 x 3))) (.f64 z (sin.f64 y)))) (.f64 z (sin.f64 y)))))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y)))) (.f64 x x)) (fma.f64 (cos.f64 y) x (fma.f64 -1 (.f64 (/.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y)))) z) (/.f64 (.f64 (cos.f64 y) (pow.f64 x 3)) (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(fma.f64 0 (.f64 x x) (fma.f64 (cos.f64 y) x (fma.f64 z (sin.f64 y) (/.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 x 3) 0)) (.f64 z (sin.f64 y))))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)) (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)))) x)) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(fma.f64 -1 (/.f64 (.f64 0 (/.f64 (.f64 z z) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)))) x) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 0 x) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)) (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)))) x)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)) (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)))) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) (pow.f64 x 2)))) (*.f64 (cos.f64 y) x))))
(fma.f64 -1 (/.f64 (.f64 0 (/.f64 (.f64 z z) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)))) x) (fma.f64 z (sin.f64 y) (fma.f64 -1 (.f64 (/.f64 (.f64 0 (/.f64 (.f64 z z) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)))) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (.f64 x x))) (.f64 (cos.f64 y) x))))
(+.f64 (/.f64 0 x) (fma.f64 z (sin.f64 y) (fma.f64 (cos.f64 y) x (/.f64 (*.f64 0 (/.f64 (sin.f64 y) (/.f64 x (/.f64 z x)))) (cos.f64 y)))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (cos.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (cos.f64 y) x))) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(+.f64 (.f64 (/.f64 (.f64 z z) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) x)) (fma.f64 -1 (.f64 (/.f64 (.f64 z z) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) x)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(+.f64 (.f64 z (.f64 z 0)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)) (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)))) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (cos.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (cos.f64 y) x))) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (/.f64 (.f64 0 (/.f64 (.f64 z z) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)))) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (.f64 x x))) (+.f64 (.f64 (/.f64 (.f64 z z) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) x)) (fma.f64 -1 (.f64 (/.f64 (.f64 z z) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) x)) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))))
(+.f64 (.f64 z (.f64 z 0)) (fma.f64 z (sin.f64 y) (fma.f64 (cos.f64 y) x (/.f64 (*.f64 0 (/.f64 (sin.f64 y) (/.f64 x (/.f64 z x)))) (cos.f64 y)))))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x)))) x))
(fma.f64 y z (fma.f64 (.f64 y y) (-.f64 (.f64 x -1/2) (.f64 0 (/.f64 (.f64 z z) x))) x))
(fma.f64 z y (fma.f64 (*.f64 y y) (fma.f64 x -1/2 0) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) z) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))) z) x)) (+.f64 (.f64 1/2 z) (.f64 1/6 z)))))) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x)))) x)))
(fma.f64 y z (fma.f64 (pow.f64 y 3) (-.f64 (-.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) (/.f64 (+.f64 (.f64 z z) (neg.f64 (.f64 x x))) (/.f64 (.f64 x x) z))) (fma.f64 -1 (/.f64 (-.f64 (.f64 x -1/2) (.f64 0 (/.f64 (.f64 z z) x))) (/.f64 x z)) (.f64 z 2/3))) (fma.f64 (.f64 y y) (-.f64 (.f64 x -1/2) (.f64 0 (/.f64 (.f64 z z) x))) x)))
(fma.f64 z y (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) (+.f64 (.f64 z 2/3) (-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) (/.f64 x (/.f64 z x))) (.f64 (/.f64 (fma.f64 x -1/2 0) x) z)))) (fma.f64 (.f64 y y) (fma.f64 x -1/2 0) x)))
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))
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(exp.f64 (.f64 (log.f64 (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2))) 1))
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(fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2) (.f64 (neg.f64 (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) x)))))
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(fma.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (.f64 z (sin.f64 y)) (pow.f64 (.f64 x (cos.f64 y)) 2))
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(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (sin.f64 y) (.f64 z (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))
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eval267.0ms (2.7%)

Compiler: Compiled 26665 to 8943 computations (66.5% saved)

prune182.0ms (1.8%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	829	15	844
Fresh	4	8	12
Picked	1	0	1
Done	2	3	5
Total	836	26	862

Error

0.0b

Counts

862 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
▶	16.0b	(fma.f64 (sin.f64 y) z x)
	28.5b	(fma.f64 z y x)
	42.9b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 4) (pow.f64 (.f64 z (sin.f64 y)) 4)) (.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2))))
	48.1b	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (pow.f64 (*.f64 (cos.f64 y) x) 2))
▶	0.2b	(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
	20.2b	(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 y z))))
✓	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	20.8b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 y z))
	0.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	0.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
▶	30.0b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
	16.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	28.5b	(+.f64 (*.f64 y z) x)
	31.6b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	0.5b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	16.0b	(+.f64 x (*.f64 z (sin.f64 y)))
	2.0b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
	29.8b	(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2))
	39.0b	(.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)))
▶	29.5b	(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
	22.4b	(*.f64 (cos.f64 y) x)
	41.2b	(*.f64 z (sin.f64 y))
▶	53.3b	(*.f64 y z)
	37.4b	x

Compiler

Compiled 833 to 517 computations (37.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 14 computations (68.9% saved)

series6.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite97.0ms (1%)

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	75
1	279	75
2	3052	75

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

Outputs

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

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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))))

simplify141.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1386×	`distribute-rgt-in`
1382×	`distribute-lft-in`
554×	`associate-r`
500×	`associate-/l*`
468×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	396	12965
1	1083	12139
2	4841	12139

Stop Event

1×	node limit

Counts

309 → 253

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`add-sqr-sqrt`
1500×	`*-un-lft-identity`
1378×	`add-cube-cbrt`
1360×	`add-cbrt-cube`
1344×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	156	13
2	1831	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1156×	`associate-r`
974×	`associate-l`
916×	`times-frac`
642×	`+-commutative`
622×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	820
1	201	820
2	790	802
3	3607	802
4	7766	802

Stop Event

1×	node limit

Counts

58 → 39

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 10 computations (76.2% saved)

series9.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(*.f64 (cos.f64 y) (sqrt.f64 x))
1.0ms	x	@	-inf	(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
0.0ms	x	@	-inf	(*.f64 (cos.f64 y) (sqrt.f64 x))
0.0ms	x	@	0	(*.f64 (cos.f64 y) (sqrt.f64 x))
0.0ms	y	@	0	(*.f64 (cos.f64 y) (sqrt.f64 x))

rewrite87.0ms (0.9%)

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

Outputs

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

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

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simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

786×	`associate-/r/`
678×	`associate-/l/`
610×	`associate-r`
602×	`+-commutative`
530×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	8252
1	938	7950
2	4496	7940

Stop Event

1×	node limit

Counts

182 → 196

Calls

Call 1

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

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

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))
✓	0.2b	(pow.f64 (*.f64 (sin.f64 y) z) 2)
✓	2.8b	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))
✓	27.7b	(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))

Compiler

Compiled 90 to 29 computations (67.8% saved)

series11.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

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

rewrite167.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`associate-/r*`
1102×	`associate-/l*`
442×	`associate-+l+`
408×	`add-sqr-sqrt`
398×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	160
1	397	112
2	5387	112

Stop Event

1×	node limit

Counts

4 → 294

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) (pow.f64 (.f64 (sin.f64 y) z) 2)) (.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2))) (.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) (pow.f64 (.f64 (sin.f64 y) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))) (.f64 (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))) (.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (cos.f64 y)))) (-.f64 1 (.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) z))) (-.f64 1 (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (.f64 (sin.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 4) (pow.f64 (.f64 x (cos.f64 y)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4)))) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (.f64 x (cos.f64 y)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (/.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (.f64 x (cos.f64 y)) 6)) (.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (.f64 x (cos.f64 y)) 6)) (/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify295.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-r`
1006×	`associate-/r*`
936×	`associate-l`
912×	`associate-/l/`
576×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	808	34332
1	2212	33026

Stop Event

1×	node limit

Counts

426 → 516

Calls

Call 1

Inputs
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 x) (.f64 -1 (/.f64 (pow.f64 z 2) x)))) (pow.f64 y 2)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 x) (.f64 -1 (/.f64 (pow.f64 z 2) x)))) z) x)) (+.f64 (.f64 -1/2 z) (.f64 1/6 z))))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 x) (.f64 -1 (/.f64 (pow.f64 z 2) x)))) (pow.f64 y 2)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (-.f64 (.f64 -1/3 (pow.f64 z 2)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))) (pow.f64 y 4))))
(+.f64 (.f64 (pow.f64 y 6) (-.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) (+.f64 (.f64 -1/360 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 2))))) (+.f64 (.f64 (-.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (-.f64 (.f64 -1/3 (pow.f64 z 2)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (pow.f64 y 4)))))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
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(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 4) (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2))) (.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 4) (pow.f64 (.f64 x (cos.f64 y)) 4))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (.f64 x (cos.f64 y)) 6))) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (*.f64 (sin.f64 y) z) 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 4) (pow.f64 (.f64 x (cos.f64 y)) 4)) 1) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 4) (pow.f64 (.f64 x (cos.f64 y)) 4)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 4) (pow.f64 (.f64 x (cos.f64 y)) 4)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (.f64 x (cos.f64 y)) 6)) 1) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (*.f64 (sin.f64 y) z) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (.f64 x (cos.f64 y)) 6)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (.f64 x (cos.f64 y)) 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4)))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 4) (pow.f64 (.f64 x (cos.f64 y)) 4)) 1) 1) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 4) (pow.f64 (.f64 x (cos.f64 y)) 4)) 1) (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 4) (pow.f64 (.f64 x (cos.f64 y)) 4)) 1) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (.f64 x (cos.f64 y)) 6)) 1) 1) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (.f64 x (cos.f64 y)) 6)) 1) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (*.f64 (sin.f64 y) z) 4)))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (pow.f64 (.f64 x (cos.f64 y)) 6)) 1) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (.f64 (sin.f64 y) z) 4)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 4) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) 2) (pow.f64 (*.f64 (sin.f64 y) z) 4)))))
(pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(fma.f64 (.f64 (sin.f64 y) z) (.f64 (sin.f64 y) z) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(fma.f64 1 (pow.f64 (.f64 (sin.f64 y) z) 2) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) z) 4)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))) 1)
(.f64 (sin.f64 y) (.f64 z (*.f64 (sin.f64 y) z)))
(.f64 z (.f64 (sin.f64 y) (*.f64 (sin.f64 y) z)))
(.f64 (.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z))
(.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) 1)
(.f64 1 (pow.f64 (.f64 (sin.f64 y) z) 2))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) z) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z))
(.f64 (.f64 (.f64 (sin.f64 y) z) (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(.f64 (.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) z)
(.f64 (.f64 (*.f64 (sin.f64 y) z) z) (sin.f64 y))
(.f64 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 y) z))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 (sin.f64 y) z))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))) 1)
(.f64 1 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) 1)
(.f64 (pow.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) -1/2) (pow.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) -2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) -2)) (/.f64 1 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(.f64 -1 (/.f64 -1 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3))) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 (.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) -1) (pow.f64 (sqrt.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) -1))
(pow.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) -1)
(pow.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) 1)
(pow.f64 (pow.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))))

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

eval674.0ms (6.8%)

Compiler: Compiled 35757 to 12504 computations (65% saved)

prune273.0ms (2.8%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1043	14	1057
Fresh	9	9	18
Picked	1	0	1
Done	2	5	7
Total	1055	28	1083

Error

Counts

1083 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.0b	(fma.f64 (sin.f64 y) z x)
	28.5b	(fma.f64 z y x)
▶	42.9b	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 2)
▶	1.3b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3))
	41.3b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
	1.2b	(/.f64 1 (/.f64 1 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))))))
	22.5b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
▶	37.5b	(/.f64 1 (/.f64 1 x))
	37.9b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
✓	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	20.8b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 y z))
▶	0.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	0.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	42.4b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z))
	16.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
▶	16.0b	(+.f64 (*.f64 (sin.f64 y) z) x)
✓	28.5b	(+.f64 (*.f64 y z) x)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	50.5b	(.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))
	2.0b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
	42.4b	(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (/.f64 (/.f64 -1 x) (cos.f64 y)))
	55.0b	(.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))
	42.2b	(.f64 (.f64 (.f64 x x) (neg.f64 (pow.f64 (cos.f64 y) 2))) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
	28.6b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
	22.4b	(*.f64 (cos.f64 y) x)
	41.2b	(*.f64 z (sin.f64 y))
✓	53.3b	(*.f64 y z)
	37.4b	x

Compiler

Compiled 789 to 522 computations (33.8% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
✓	0.5b	(cbrt.f64 x)
	0.5b	(cbrt.f64 (*.f64 x (cos.f64 y)))

Compiler

Compiled 75 to 21 computations (72% saved)

series24.0ms (0.2%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	y	@	-inf	(cbrt.f64 (cos.f64 y))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
0.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`add-sqr-sqrt`
1928×	`*-un-lft-identity`
1790×	`add-cube-cbrt`
1764×	`add-cbrt-cube`
214×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	229	35
2	2558	35

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(cbrt.f64 (cos.f64 y))

Outputs

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

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

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

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1560×	`distribute-rgt-in`
1538×	`distribute-lft-in`
668×	`*-commutative`
622×	`+-commutative`
608×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	1713
1	414	1641
2	1415	1605
3	3909	1593

Stop Event

1×	node limit

Counts

87 → 106

Calls

Call 1

Inputs
(pow.f64 (pow.f64 x 2) 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (pow.f64 (pow.f64 x 2) 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 y 4)) (pow.f64 (pow.f64 x 2) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 y 4)) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (pow.f64 y 6)) (pow.f64 (pow.f64 x 2) 1/3))))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
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))))
(+.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)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 x x)) 1/3) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))) 1)
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))
(.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 x (cos.f64 y))))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))

Outputs
(pow.f64 (pow.f64 x 2) 1/3)
(cbrt.f64 (*.f64 x x))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (pow.f64 (pow.f64 x 2) 1/3))
(fma.f64 -1/3 (.f64 (cbrt.f64 (.f64 x x)) (.f64 y y)) (cbrt.f64 (.f64 x x)))
(.f64 (+.f64 (.f64 -1/3 (.f64 y y)) 1) (cbrt.f64 (.f64 x x)))
(.f64 (+.f64 1 (.f64 -1/3 (.f64 y y))) (cbrt.f64 (.f64 x x)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 y 4)) (pow.f64 (pow.f64 x 2) 1/3)))
(fma.f64 -1/3 (.f64 (cbrt.f64 (.f64 x x)) (.f64 y y)) (fma.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/24)) (.f64 (cbrt.f64 (.f64 x x)) 1/36)) (pow.f64 y 4) (cbrt.f64 (.f64 x x))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (.f64 x x)) (.f64 y y)) (fma.f64 (fma.f64 (cbrt.f64 (.f64 x x)) 1/36 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (.f64 x -1/24) 2/3))) (pow.f64 y 4) (cbrt.f64 (.f64 x x))))
(fma.f64 (fma.f64 2/3 (.f64 x (.f64 (cbrt.f64 (/.f64 1 x)) -1/24)) (.f64 (cbrt.f64 (.f64 x x)) 1/36)) (pow.f64 y 4) (.f64 (+.f64 (.f64 -1/3 (.f64 y y)) 1) (cbrt.f64 (.f64 x x))))
(fma.f64 (fma.f64 (cbrt.f64 (.f64 x x)) 1/36 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 2/3 (.f64 x -1/24)))) (pow.f64 y 4) (.f64 (+.f64 1 (.f64 -1/3 (.f64 y y))) (cbrt.f64 (.f64 x x))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 y 4)) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (pow.f64 y 6)) (pow.f64 (pow.f64 x 2) 1/3))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (.f64 x x)) (.f64 y y)) (fma.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/24)) (.f64 (cbrt.f64 (.f64 x x)) 1/36)) (pow.f64 y 4) (fma.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216)))) (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 x))) (.f64 x -1/24))) (pow.f64 y 6) (cbrt.f64 (*.f64 x x)))))
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(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 y y)) 1) (cbrt.f64 (.f64 x x))) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 2/3 (+.f64 (.f64 x -11/720) (.f64 x 1/216))) (.f64 (.f64 x -1/24) -1/9))) (pow.f64 y 6) (.f64 (fma.f64 2/3 (.f64 x (.f64 (cbrt.f64 (/.f64 1 x)) -1/24)) (.f64 (cbrt.f64 (*.f64 x x)) 1/36)) (pow.f64 y 4))))
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(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))
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(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 (.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))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) -1/72 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)))
(fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 y (*.f64 y -1/6) 1)))
(fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (pow.f64 y 6) -23/6480 (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 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x x)) 1/3) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 1/6) 2)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(cbrt.f64 x)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(pow.f64 (*.f64 x x) 1/6)
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) 1/3))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (cbrt.f64 (*.f64 x (cos.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 4)))
(.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 4))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 x (cos.f64 y))))))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) 1))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1972×	`*-un-lft-identity`
1830×	`add-cube-cbrt`
1810×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	187	24
2	2421	24

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-def`
704×	`associate--r+`
692×	`unswap-sqr`
690×	`+-commutative`
530×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	2042
1	350	1986
2	1283	1952
3	5494	1952

Stop Event

1×	node limit

Counts

110 → 80

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 9 computations (67.9% saved)

series9.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

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

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1964×	`add-sqr-sqrt`
1946×	`*-un-lft-identity`
1796×	`add-cube-cbrt`
1776×	`add-cbrt-cube`
214×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	238	30
2	2467	30

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1316×	`unswap-sqr`
848×	`associate-/r*`
788×	`distribute-lft-in`
770×	`distribute-rgt-in`
542×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	2611
1	632	2489
2	2440	2397

Stop Event

1×	node limit

Counts

87 → 121

Calls

Call 1

Inputs
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) x)))
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x)) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x))) (pow.f64 z 2)) (+.f64 (.f64 z (sin.f64 y)) x))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 2))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 2)))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x)) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x))) (pow.f64 z 2)) (+.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) 2))) (.f64 5/64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 x 4)) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) 2))) (.f64 5/64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) 2)) (.f64 z (sin.f64 y)))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) 2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (.f64 z (sin.f64 y))))) (pow.f64 x 5)) (+.f64 x (.f64 z (sin.f64 y)))))
(sqrt.f64 x)
(+.f64 (.f64 1/2 (.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 x)))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/6 z) (*.f64 -1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x)))))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) x)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 x 2))) (+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) x))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))) (pow.f64 x 3))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 x 2))) (+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) x)))))
(+.f64 x (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) x)
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x))) 1)
(*.f64 (fma.f64 (sin.f64 y) z x) 1)
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(*.f64 1 (fma.f64 (sin.f64 y) z x))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4) (.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4) (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))) (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))
(.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4)) (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4))
(.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (cbrt.f64 (fma.f64 (sin.f64 y) z x))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 (sin.f64 y) z)) (.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 (sin.f64 y) z)) (-.f64 (.f64 x x) (.f64 (*.f64 (sin.f64 y) z) x))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z x))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 (sin.f64 y) z x)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)))) 1)
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4) (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 1/2))
(pow.f64 (fma.f64 (sin.f64 y) z x) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 1)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))

Outputs
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) x))
(fma.f64 y z (fma.f64 (.f64 (/.f64 (.f64 z z) x) 0) (*.f64 y y) x))
(fma.f64 y z (fma.f64 (*.f64 y y) 0 x))
(+.f64 x (fma.f64 y z 0))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 (.f64 (/.f64 (.f64 z z) x) 0) (.f64 y y) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 (.f64 y y) 0 x)))
(+.f64 (fma.f64 y z x) (fma.f64 (*.f64 -1/6 (pow.f64 y 3)) z 0))
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x)) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x))) (pow.f64 z 2)) (+.f64 (.f64 z (sin.f64 y)) x))
(fma.f64 z (sin.f64 y) x)
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 2))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 2)))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x)) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x))) (pow.f64 z 2)) (+.f64 (*.f64 z (sin.f64 y)) x)))
(fma.f64 z (sin.f64 y) x)
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) 2))) (.f64 5/64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 x 4)) (+.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 (.f64 z (sin.f64 y)) 3)) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)))) 2)) (/.f64 5/64 (pow.f64 (.f64 z (sin.f64 y)) 3))) (pow.f64 x 4) (fma.f64 z (sin.f64 y) x))
(fma.f64 (-.f64 (/.f64 5/64 (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (/.f64 1/16 (pow.f64 (.f64 z (sin.f64 y)) 3)) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)))) 2))) (pow.f64 x 4) (fma.f64 z (sin.f64 y) x))
(fma.f64 (+.f64 (neg.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)))) 2)) (.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)) 1/64)) (pow.f64 x 4) (fma.f64 z (sin.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) 2))) (.f64 5/64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) 2)) (.f64 z (sin.f64 y)))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) 2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (.f64 z (sin.f64 y))))) (pow.f64 x 5)) (+.f64 x (.f64 z (sin.f64 y)))))
(fma.f64 (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 (.f64 z (sin.f64 y)) 3)) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)))) 2)) (/.f64 5/64 (pow.f64 (.f64 z (sin.f64 y)) 3))) (pow.f64 x 4) (fma.f64 z (sin.f64 y) x))
(fma.f64 (-.f64 (/.f64 5/64 (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (/.f64 1/16 (pow.f64 (.f64 z (sin.f64 y)) 3)) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)))) 2))) (pow.f64 x 4) (fma.f64 z (sin.f64 y) x))
(fma.f64 (+.f64 (neg.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)))) 2)) (.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)) 1/64)) (pow.f64 x 4) (fma.f64 z (sin.f64 y) x))
(sqrt.f64 x)
(+.f64 (.f64 1/2 (.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))
(fma.f64 1/2 (.f64 z (.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 x)))
(fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 -1/8 (.f64 (.f64 (.f64 z z) (.f64 y y)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 x)))
(fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 -1/8 (.f64 (.f64 y y) (.f64 z (.f64 z (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 x)))
(fma.f64 1/2 (.f64 z (.f64 y (sqrt.f64 (/.f64 1 x)))) (fma.f64 -1/8 (.f64 y (.f64 y (.f64 (.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (sqrt.f64 x)))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/6 z) (*.f64 -1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 -1/8 (.f64 (.f64 (.f64 z z) (.f64 y y)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (pow.f64 y 3) (-.f64 (.f64 z -1/6) (.f64 -1/8 (/.f64 (pow.f64 z 3) (*.f64 x x)))))) (sqrt.f64 x))))
(fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 -1/8 (.f64 (.f64 y y) (.f64 z (.f64 z (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (fma.f64 1/2 (.f64 (pow.f64 y 3) (.f64 (fma.f64 z -1/6 (.f64 1/8 (/.f64 (pow.f64 z 3) (.f64 x x)))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(fma.f64 1/2 (.f64 z (.f64 y (sqrt.f64 (/.f64 1 x)))) (fma.f64 -1/8 (.f64 y (.f64 y (.f64 (.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (fma.f64 1/2 (.f64 (fma.f64 z -1/6 (.f64 1/8 (/.f64 (pow.f64 z 3) (.f64 x x)))) (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 (.f64 (.f64 1/2 z) (sin.f64 y)) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))
(fma.f64 1/2 (.f64 z (.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 -1/8 (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 z (.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/8 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (.f64 z (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (fma.f64 (.f64 (*.f64 1/2 z) (sin.f64 y)) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(fma.f64 -1/8 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/2 (.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 1/16 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 -1/8 (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 z (.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x))))))))
(fma.f64 1/16 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 -1/8 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (.f64 z (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (fma.f64 (.f64 (*.f64 1/2 z) (sin.f64 y)) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1/16 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 -1/8 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/2 (.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) x)))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))))
(fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 x 2))) (+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) x))))
(fma.f64 -1/8 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)))) (+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))))))
(fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)))) (.f64 x x) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3))))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))) (pow.f64 x 3))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 x 2))) (+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) x)))))
(fma.f64 1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5))))) (fma.f64 -1/8 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)))) (+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))))))
(fma.f64 1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5))))) (fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3)))) (.f64 x x) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(fma.f64 1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (sin.f64 y) 5)))) (fma.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (.f64 z (sin.f64 y)) 3))))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))))))
(+.f64 x (*.f64 (sin.f64 y) z))
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 (sin.f64 y) z) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) x)
(fma.f64 z (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x))) 1)
(fma.f64 z (sin.f64 y) x)
(*.f64 (fma.f64 (sin.f64 y) z x) 1)
(fma.f64 z (sin.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(*.f64 1 (fma.f64 (sin.f64 y) z x))
(fma.f64 z (sin.f64 y) x)
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4) (.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4) (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(fma.f64 z (sin.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2))
(fma.f64 z (sin.f64 y) x)
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))) (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)))))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) 4))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4)) (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4))
(fma.f64 z (sin.f64 y) x)
(.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (cbrt.f64 (fma.f64 (sin.f64 y) z x))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)))))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) 4))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 (sin.f64 y) z)) (.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
(/.f64 (-.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (.f64 x x)) (-.f64 (.f64 z (sin.f64 y)) x))
(/.f64 (fma.f64 z (sin.f64 y) x) (/.f64 (-.f64 (.f64 z (sin.f64 y)) x) (-.f64 (.f64 z (sin.f64 y)) x)))
(/.f64 (fma.f64 z (sin.f64 y) x) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 (sin.f64 y) z) (.f64 (sin.f64 y) z)) (-.f64 (.f64 x x) (.f64 (*.f64 (sin.f64 y) z) x))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (.f64 x (-.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (neg.f64 x)))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(fabs.f64 (fma.f64 z (sin.f64 y) x))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z x))))
(fma.f64 z (sin.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3))
(fma.f64 z (sin.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1))
(fma.f64 z (sin.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)))) 1)
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 1)
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(*.f64 1 (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4) (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))))
(pow.f64 (fma.f64 (sin.f64 y) z x) 1/2)
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 1)
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 1/4) 2)
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))) 3)
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)))))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1/2))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))) 1))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x))))
(sqrt.f64 (fma.f64 z (sin.f64 y) x))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
✓	0.2b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3))
✓	0.6b	(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
✓	0.7b	(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3)

Compiler

Compiled 72 to 22 computations (69.4% saved)

series87.0ms (0.9%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
14.0ms	x	@	0	(/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
8.0ms	z	@	0	(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3)
5.0ms	x	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3)
4.0ms	z	@	inf	(/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))

rewrite137.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`associate-*r/`
852×	`swap-sqr`
576×	`associate-*l/`
494×	`associate-/r*`
390×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	138
1	348	112
2	4074	112

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

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

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

simplify303.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-/r*`
1172×	`associate-/l*`
596×	`*-commutative`
558×	`unswap-sqr`
494×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	995	29316
1	2921	28820

Stop Event

1×	node limit

Counts

378 → 500

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y)))) z))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 32) (pow.f64 x 32))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))))))) (pow.f64 z 2)) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y)))) z)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 32) (pow.f64 x 32))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))))))) (pow.f64 z 2)) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y)))) z) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 13) (pow.f64 x 13))) 1/9) (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 10) (pow.f64 x 10))) 1/9) (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 13) (pow.f64 x 13))) 1/9) (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 16) (pow.f64 x 16))) 1/3) (pow.f64 (sin.f64 y) 3)))))))) (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 13) (pow.f64 x 13))) 1/9) (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 16) (pow.f64 x 16))) 1/3) (pow.f64 (sin.f64 y) 3))))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 16) (pow.f64 x 16))) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 32) (pow.f64 x 32))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2))))))) (sin.f64 y))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 x))
(+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 22)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 22)) 1/9) z)))) (.f64 (pow.f64 1 1/3) (/.f64 1 x)))
(+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 22)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 22)) 1/9) z)))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 35)) 1/9) (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (pow.f64 1 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 35)) 1/9) (pow.f64 z 2))) (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 32)) 1/9) (pow.f64 z 2))) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 35)) 1/9) (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (pow.f64 (.f64 1 x) 1/3)))))))) (*.f64 (pow.f64 1 1/3) (/.f64 1 x))))
(+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 22)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 22)) 1/9) z)))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 35)) 1/9) (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (pow.f64 1 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 35)) 1/9) (pow.f64 z 2))) (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 32)) 1/9) (pow.f64 z 2))) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 35)) 1/9) (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (pow.f64 (.f64 1 x) 1/3)))))))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 32)) 1/9) (pow.f64 z 2))) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 35)) 1/9) (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (pow.f64 (.f64 1 x) 1/3)))) z) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9))) (+.f64 (.f64 -2/9 (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 35)) 1/9) (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) z) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (.f64 z (-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/3) (pow.f64 z 3))) (+.f64 (.f64 -2/3 (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 35)) 1/9) (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) z) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9))) (+.f64 (.f64 -1/6 (/.f64 z (pow.f64 x 2))) (.f64 1/2 (/.f64 z (pow.f64 x 2))))))))) (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (/.f64 (.f64 z (-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/3) (pow.f64 z 3))) (+.f64 (.f64 -2/3 (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 35)) 1/9) (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) z) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9))) (+.f64 (.f64 -1/6 (/.f64 z (pow.f64 x 2))) (.f64 1/2 (/.f64 z (pow.f64 x 2))))))))) (.f64 -2/9 (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 35)) 1/9) (pow.f64 z 2))) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) z) (pow.f64 (/.f64 1 (pow.f64 x 10)) 1/9))))))))) (.f64 (pow.f64 1 1/3) (/.f64 1 x)))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 z (sin.f64 y))))
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x
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(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) -3)
(pow.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1)
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) -1))
(exp.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))) 1)
(.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -1/2) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(.f64 -1 (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(.f64 -1 (/.f64 -1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(.f64 (/.f64 -1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) -1)
(.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 1/6) -1) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1/6) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) -1))
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1)
(pow.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 1/3)
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -2))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))))
(cbrt.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(exp.f64 (.f64 -1/3 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) -1))
(exp.f64 (.f64 (.f64 -1/3 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))

Outputs
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y)))) z))
(+.f64 (/.f64 1 (.f64 (cos.f64 y) x)) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/18)) (sin.f64 y)) -1) z))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 32) (pow.f64 x 32))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))))))) (pow.f64 z 2)) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y)))) z)))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 32) (pow.f64 x 32))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 32) (pow.f64 x 32))) 1/18)) (pow.f64 (sin.f64 y) 2)) (.f64 -2/3 (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18)))))))) (fma.f64 2/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18))) (.f64 -1/3 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18)))))))) (.f64 z z) (+.f64 (/.f64 1 (.f64 (cos.f64 y) x)) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/18)) (sin.f64 y)) -1) z)))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 32) (pow.f64 x 32))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 32) (pow.f64 x 32))) 1/18)) (pow.f64 (sin.f64 y) 2)) (.f64 (.f64 -2/3 (cbrt.f64 (.f64 (cos.f64 y) x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18))))))) (fma.f64 2/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18))) (.f64 -1/3 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 1/3 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/18)))))))) (.f64 z z) (+.f64 (/.f64 1 (.f64 (cos.f64 y) x)) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/18)) (sin.f64 y)) -1) z)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 32) (pow.f64 x 32))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))))))) (pow.f64 z 2)) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y)))) z) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 13) (pow.f64 x 13))) 1/9) (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 10) (pow.f64 x 10))) 1/9) (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 13) (pow.f64 x 13))) 1/9) (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 16) (pow.f64 x 16))) 1/3) (pow.f64 (sin.f64 y) 3)))))))) (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 13) (pow.f64 x 13))) 1/9) (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 16) (pow.f64 x 16))) 1/3) (pow.f64 (sin.f64 y) 3))))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 16) (pow.f64 x 16))) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 32) (pow.f64 x 32))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2))))))) (sin.f64 y))))))) (pow.f64 z 3)))))
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(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (cos.f64 y) x))
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x
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(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) -1))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(exp.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 1))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))) 1)
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 1)
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -1/2) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1/2))
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) -2)) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) -2)) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)))))
(.f64 -1 (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(neg.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))))
(.f64 -1 (/.f64 -1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(.f64 (/.f64 -1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) -1)
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 1/6) -1) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1/6) -1))
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) -1))
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1)
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1)
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(pow.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 1/3)
(cbrt.f64 (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/3)
(.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) -1/6) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) -1/6))
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1/2) 2)
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) 3)
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -2))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) -2))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))))
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(cbrt.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(cbrt.f64 (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(exp.f64 (.f64 -1/3 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 -1/3) (log.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) -1))
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(exp.f64 (.f64 (.f64 -1/3 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1))
(pow.f64 (exp.f64 -1/3) (log.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))

eval634.0ms (6.4%)

Compiler: Compiled 32426 to 16421 computations (49.4% saved)

prune281.0ms (2.8%)

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	929	8	937
Fresh	5	13	18
Picked	1	0	1
Done	1	8	9
Total	936	29	965

Error

Counts

965 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.0b	(fma.f64 (sin.f64 y) z x)
	28.5b	(fma.f64 z y x)
	1.3b	(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) -3)
	55.0b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
	43.7b	(/.f64 (-.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (.f64 x x)) (-.f64 (.f64 z (sin.f64 y)) x))
	41.6b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 3))
	23.2b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3))
	1.4b	(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -2) (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
	41.3b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
	22.5b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
✓	37.5b	(/.f64 1 (/.f64 1 x))
	37.9b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	42.9b	(-.f64 (+.f64 1 x) 1)
✓	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
✓	0.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	0.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	42.4b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z))
	16.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	16.0b	(+.f64 (*.f64 (sin.f64 y) z) x)
✓	28.5b	(+.f64 (*.f64 y z) x)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	50.5b	(.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))
	2.0b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
	42.2b	(.f64 (.f64 (.f64 x x) (neg.f64 (pow.f64 (cos.f64 y) 2))) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
	28.6b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
	41.2b	(*.f64 (sin.f64 y) z)
	22.4b	(*.f64 (cos.f64 y) x)
✓	53.3b	(*.f64 y z)
	37.4b	x

Compiler

Compiled 411 to 273 computations (33.6% saved)

regimes124.0ms (1.2%)

Counts

55 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 812 to 294 computations (63.8% saved)

regimes47.0ms (0.5%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
11.0ms	x
11.0ms	z
10.0ms	y

Results

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

Compiler

Compiled 147 to 68 computations (53.7% saved)

regimes98.0ms (1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	x
32.0ms	y
29.0ms	z

Results

Error	Segments	Branch
6.3b	3	`x`
10.5b	4	`y`
9.8b	3	`z`

Compiler

Compiled 108 to 51 computations (52.8% saved)

bsearch80.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	9.419049976519998e-55	8.391504149332194e-51
44.0ms	-1.5765157719511963e+29	-5.595779385058634e+22

Results

40.0ms	80×	body	1024	valid
30.0ms	170×	body	256	valid
6.0ms	22×	body	512	valid

Compiler

Compiled 307 to 217 computations (29.3% saved)

regimes119.0ms (1.2%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	y
36.0ms	x
23.0ms	z

Results

Error	Segments	Branch
6.4b	3	`x`
10.5b	4	`y`
9.8b	3	`z`

Compiler

Compiled 103 to 50 computations (51.5% saved)

bsearch68.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	9.419049976519998e-55	8.391504149332194e-51
34.0ms	-1.5765157719511963e+29	-5.595779385058634e+22

Results

29.0ms	197×	body	256	valid
23.0ms	47×	body	1024	valid
8.0ms	28×	body	512	valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

regimes68.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
23.0ms	z
19.0ms	x

Results

Error	Segments	Branch
9.8b	3	`x`
11.5b	4	`y`
17.0b	3	`z`

Compiler

Compiled 67 to 37 computations (44.8% saved)

bsearch78.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	7.753063011433305e-56	9.135602952264643e-56
35.0ms	-5.1648811463486897e-172	-2.1491141259776895e-177

Results

52.0ms	120×	body	256	valid
19.0ms	41×	body	1024	valid
4.0ms	15×	body	512	valid

Compiler

Compiled 194 to 145 computations (25.3% saved)

regimes79.0ms (0.8%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
15.0ms	z
14.0ms	y

Results

Error	Segments	Branch
22.5b	3	`x`
17.2b	3	`y`
27.2b	2	`z`

Compiler

Compiled 51 to 32 computations (37.3% saved)

bsearch48.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.10767636769965268	5867.987354325496
26.0ms	-158649130761325900.0	-469527462499.759

Results

45.0ms

272×

body

256

valid

Compiler

Compiled 307 to 217 computations (29.3% saved)

regimes16.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
28.5b	1	`x`
28.5b	1	`y`
28.5b	1	`z`

Compiler

Compiled 47 to 30 computations (36.2% saved)

regimes45.0ms (0.5%)

Accuracy

Total -30.4b remaining (-95%)

Threshold costs -30.4b (-95%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)

Outputs
x
(*.f64 y z)
x

Calls

3 calls:

28.0ms	z
9.0ms	y
8.0ms	x

Results

Error	Segments	Branch
32.0b	3	`x`
35.7b	3	`y`
36.1b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch120.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	1.5995523389556666e-110	1.2941560011869287e-95
64.0ms	-2.1491141259776895e-177	-1.3322116505272585e-192

Results

61.0ms	93×	body	1024	valid
29.0ms	189×	body	256	valid
26.0ms	38×	body	512	valid

Compiler

Compiled 258 to 193 computations (25.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	289
1	76	289

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -56000000000000002943126339584) (.f64 (cos.f64 y) x) (if (<=.f64 x 6908486333457351/842498333348457493583344221469363458551160763204392890034487820288) (fma.f64 (sin.f64 y) z x) (.f64 (cos.f64 y) x)))
(if (<=.f64 x -61000000000000001635174580224) (.f64 (cos.f64 y) x) (if (<=.f64 x 6402987333448277/842498333348457493583344221469363458551160763204392890034487820288) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x -4438104085898055/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) (.f64 (cos.f64 y) x) (if (<=.f64 x 8411503360151/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -470000000000) (.f64 z (sin.f64 y)) (if (<=.f64 y 7926335344172073/72057594037927936) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 x -4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888) x (if (<=.f64 x 231369589076587/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064) (*.f64 y z) x))
x

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(if (<=.f64 x -56000000000000002943126339584) (.f64 (cos.f64 y) x) (if (<=.f64 x 6908486333457351/842498333348457493583344221469363458551160763204392890034487820288) (fma.f64 (sin.f64 y) z x) (.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -56000000000000002943126339584) (not (<=.f64 x 6908486333457351/842498333348457493583344221469363458551160763204392890034487820288))) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z x))
(if (<=.f64 x -61000000000000001635174580224) (.f64 (cos.f64 y) x) (if (<=.f64 x 6402987333448277/842498333348457493583344221469363458551160763204392890034487820288) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -61000000000000001635174580224) (not (<=.f64 x 6402987333448277/842498333348457493583344221469363458551160763204392890034487820288))) (.f64 x (cos.f64 y)) (+.f64 x (.f64 (sin.f64 y) z)))
(if (<=.f64 x -4438104085898055/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) (.f64 (cos.f64 y) x) (if (<=.f64 x 8411503360151/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -4438104085898055/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) (not (<=.f64 x 8411503360151/107839786668602559178668060348078522694548577690162289924414440996864))) (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(if (<=.f64 y -470000000000) (.f64 z (sin.f64 y)) (if (<=.f64 y 7926335344172073/72057594037927936) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (or (<=.f64 y -470000000000) (not (<=.f64 y 7926335344172073/72057594037927936))) (.f64 (sin.f64 y) z) (+.f64 x (.f64 y z)))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 x -4562440617622195/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888) x (if (<=.f64 x 231369589076587/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064) (*.f64 y z) x))
x

Compiler

Compiled 135 to 90 computations (33.3% saved)

soundness0.0ms (0%)

end85.0ms (0.9%)

Compiler: Compiled 111 to 47 computations (57.7% saved)