Details

analyze567.0ms (5.3%)

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)

sample2.2s (20.6%)

Results

959.0ms	2061×	body	1024	valid
944.0ms	5161×	body	256	valid
296.0ms	1029×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	92
1	41	92
2	53	92
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (.f64 x (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)

simplify12.0ms (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)))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.23%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.23%	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	0.23%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(cos.f64 y)
✓	0.02%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.21%	(*.f64 x (cos.f64 y))
✓	0.23%	(*.f64 z (sin.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

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

rewrite86.0ms (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	50
1	226	50
2	2919	50

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x 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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simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Rules

766×	`distribute-lft-neg-in`
752×	`associate-+r+`
736×	`distribute-rgt-neg-in`
670×	`+-commutative`
646×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	8231
1	972	7717
2	4639	7709

Stop Event

1×	node limit

Counts

201 → 226

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 y)
✓	0.12%	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	0.23%	(*.f64 z (sin.f64 y))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

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

Outputs

((#(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 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 x (cos.f64 y))))))) (#(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 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/2)))))) (#(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 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.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 (sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/2)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) 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simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1602×	`associate-+r+`
1298×	`associate-+l+`
702×	`fma-def`
664×	`*-commutative`
590×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	3321
1	396	3267
2	1745	3193
3	5689	3193

Stop Event

1×	node limit

Counts

85 → 91

Calls

Call 1

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

eval94.0ms (0.9%)

Compiler: Compiled 9071 to 2887 computations (68.2% saved)

prune85.0ms (0.8%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	357	23	380
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	357	25	382

Error

0.05%

Counts

382 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	52.06%	(fma.f64 z y x)
✓	0.23%	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	70.39%	(/.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)))))
	70.11%	(/.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))))
	47.95%	(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
▶	0.41%	(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
	1.4%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
▶	52.07%	(+.f64 (*.f64 y z) x)
	29.04%	(+.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)) (.f64 z (sin.f64 y)))
	0.31%	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	0.26%	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	47.92%	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	0.97%	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
✓	0.23%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	0.35%	(+.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
	41.62%	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	23.85%	(+.f64 x (*.f64 z (sin.f64 y)))
	49.25%	(.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))))))
	49.23%	(.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))
	3.14%	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3))
	47.94%	(.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))
	41.36%	(*.f64 (cos.f64 y) x)
	58.84%	(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
	57.85%	(*.f64 z (sin.f64 y))
	63.68%	x

Compiler

Compiled 945 to 548 computations (42% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
	0.23%	(*.f64 z (sin.f64 y))
✓	0.26%	(expm1.f64 (log1p.f64 (cos.f64 y)))
✓	0.49%	(log1p.f64 (cos.f64 y))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series40.0ms (0.4%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	y	@	inf	(log1p.f64 (cos.f64 y))
18.0ms	y	@	-inf	(log1p.f64 (cos.f64 y))
1.0ms	y	@	0	(log1p.f64 (cos.f64 y))
0.0ms	y	@	0	(expm1.f64 (log1p.f64 (cos.f64 y)))
0.0ms	y	@	0	(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

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

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

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

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

960×	`unswap-sqr`
924×	`fma-def`
710×	`associate-*r/`
666×	`+-commutative`
616×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1106
1	321	1094
2	1434	1066
3	5266	1066

Stop Event

1×	node limit

Counts

96 → 91

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 y z) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite54.0ms (0.5%)

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 (0.5%)

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)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.13%	(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
	0.21%	(*.f64 x (cos.f64 y))
✓	0.34%	(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
✓	0.37%	(/.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
1.0ms	x	@	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	y	@	inf	(/.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))))

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	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 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 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#<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.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 (neg.f64 (neg.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 (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 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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)))))))

((#(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 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) (neg.f64 (/.f64 -1 (sqrt.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))))) (cbrt.f64 (pow.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 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 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simplify142.0ms (1.3%)

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.21%	(*.f64 x (cos.f64 y))
	0.23%	(*.f64 z (sin.f64 y))
✓	0.37%	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	9.06%	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series6.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

61 → 62

Calls

Call 1

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

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

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.35%	(pow.f64 (*.f64 z (sin.f64 y)) 2)
✓	4.21%	(-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))
✓	6.23%	(/.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)))))
✓	16.03%	(/.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)))))

Compiler

Compiled 129 to 34 computations (73.6% saved)

series26.0ms (0.2%)

Counts

4 → 116

Calls

33 calls:

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

rewrite130.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`distribute-lft-in`
464×	`add-sqr-sqrt`
452×	`*-un-lft-identity`
448×	`pow1`
426×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	202
1	453	102
2	6467	102

Stop Event

1×	node limit

Counts

4 → 264

Calls

Call 1

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

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

simplify161.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1560×	`times-frac`
994×	`associate-/l*`
812×	`*-commutative`
772×	`associate-/r*`
668×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	771	22944
1	2045	21354

Stop Event

1×	node limit

Counts

380 → 472

Calls

Call 1

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

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

eval300.0ms (2.8%)

Compiler: Compiled 31828 to 10217 computations (67.9% saved)

prune257.0ms (2.4%)

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	1007	20	1027
Fresh	9	9	18
Picked	1	0	1
Done	2	4	6
Total	1019	33	1052

Error

0.01%

Counts

1052 → 33

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.06%	(fma.f64 z y x)
✓	0.23%	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	48.51%	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
	64.85%	(/.f64 (.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) 1/2)) (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))
	87.01%	(/.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))
	2.19%	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3))
	48.56%	(/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -2))
	58%	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
	1.9%	(/.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))))))))
	57.9%	(/.f64 1 (/.f64 1 (*.f64 z (sin.f64 y))))
	63.75%	(/.f64 1 (/.f64 1 x))
	64.2%	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	67.72%	(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
	1.4%	(+.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 z (sin.f64 y)))
✓	52.07%	(+.f64 (*.f64 y z) x)
	29.04%	(+.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)) (.f64 z (sin.f64 y)))
▶	0.4%	(+.f64 (.f64 x (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))) (*.f64 z (sin.f64 y)))
	0.38%	(+.f64 (.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (.f64 z (sin.f64 y)))
▶	0.31%	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
✓	0.26%	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	0.97%	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
	0.93%	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	50.26%	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	0.96%	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))
✓	0.23%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	0.35%	(+.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
▶	41.62%	(+.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 z (sin.f64 y)))
	59.13%	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	23.85%	(+.f64 x (*.f64 z (sin.f64 y)))
	41.36%	(*.f64 (cos.f64 y) x)
	57.85%	(*.f64 z (sin.f64 y))
▶	85.84%	(*.f64 y z)
	63.68%	x

Compiler

Compiled 915 to 627 computations (31.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
	0.23%	(*.f64 z (sin.f64 y))
✓	0.3%	(log1p.f64 (expm1.f64 (cos.f64 y)))
✓	0.93%	(expm1.f64 (cos.f64 y))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

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

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

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

976×	`associate-/l*`
954×	`unswap-sqr`
912×	`fma-def`
744×	`associate-/r*`
588×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1164
1	339	1140
2	1504	1096
3	5216	1092

Stop Event

1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize4.0ms (0%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(*.f64 (cos.f64 y) x)
✓	0.22%	(pow.f64 (*.f64 (cos.f64 y) x) 3)
	0.23%	(*.f64 z (sin.f64 y))
✓	61.07%	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series5.0ms (0.1%)

Counts

3 → 52

Calls

18 calls:

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

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	205	39
2	2196	39

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

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

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

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1196×	`fma-def`
984×	`distribute-lft-out`
942×	`*-commutative`
690×	`distribute-lft-in`
654×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	2149
1	453	2125
2	1903	2059
3	6362	2035

Stop Event

1×	node limit

Counts

125 → 92

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

Outputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(fma.f64 x (.f64 y (.f64 -1/2 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))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 -1/2 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)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 1/24 (pow.f64 y 4))) (fma.f64 x (.f64 y (*.f64 -1/2 y)) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (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 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x))
(.f64 (.f64 x (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 (.f64 x (cbrt.f64 -1)) (neg.f64 (cos.f64 y)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x))
(.f64 (.f64 x (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 (.f64 x (cbrt.f64 -1)) (neg.f64 (cos.f64 y)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x))
(.f64 (.f64 x (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 (.f64 x (cbrt.f64 -1)) (neg.f64 (cos.f64 y)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x))
(.f64 (.f64 x (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 (.f64 x (cbrt.f64 -1)) (neg.f64 (cos.f64 y)))
(pow.f64 x 3)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))
(fma.f64 (.f64 y y) (.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))
(fma.f64 (.f64 (.f64 y y) (pow.f64 x 3)) -3/2 (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 1 (.f64 (*.f64 y y) -3/2)))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) 1/3) (.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (.f64 (pow.f64 x 3) 1/3)) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (fma.f64 (.f64 (*.f64 y y) (pow.f64 x 3)) -3/2 (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (.f64 (pow.f64 x 3) (+.f64 1 (.f64 (.f64 y y) -3/2))))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2))) x)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 2))) x) (.f64 -1/720 (pow.f64 x 3)))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) 1/3) (.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (pow.f64 y 6) (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 (.f64 x (.f64 (.f64 x x) 1/3)) (fma.f64 (.f64 (.f64 x x) -2/45) x (.f64 -1/720 (pow.f64 x 3))))) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (.f64 (pow.f64 x 3) 1/3)) (fma.f64 (pow.f64 y 6) (fma.f64 (pow.f64 x 3) -1/24 (fma.f64 -1/2 (.f64 (pow.f64 x 3) 1/3) (fma.f64 -1/720 (pow.f64 x 3) (.f64 (pow.f64 x 3) -2/45)))) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 -1/2 (.f64 (pow.f64 x 3) 1/3) (fma.f64 (pow.f64 x 3) -1/24 (.f64 (pow.f64 x 3) -11/240))) (fma.f64 (.f64 (*.f64 y y) (pow.f64 x 3)) -3/2 (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 -1/2 (.f64 (pow.f64 x 3) 1/3) (.f64 (pow.f64 x 3) -7/80)) (.f64 (pow.f64 x 3) (+.f64 1 (.f64 (.f64 y y) -3/2)))))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(fma.f64 x (.f64 y (.f64 -1/2 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))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 -1/2 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)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 1/24 (pow.f64 y 4))) (fma.f64 x (.f64 y (*.f64 -1/2 y)) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(.f64 1 (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 1/3))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2)))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.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))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.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))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(*.f64 x (cos.f64 y))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 y) x))) 1/3))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))) 1)
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (cos.f64 y) (.f64 x (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 x (.f64 (cos.f64 y) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (.f64 (cos.f64 y) x) (pow.f64 (*.f64 (cos.f64 y) x) 2))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) 1)
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 1 (pow.f64 (.f64 (cos.f64 y) x) 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 3/2) (pow.f64 (*.f64 (cos.f64 y) x) 3/2))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (*.f64 (cos.f64 y) x))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (cos.f64 y)) x)
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) x) (cos.f64 y))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) 1) (.f64 (cos.f64 y) x))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (sqrt.f64 (.f64 (cos.f64 y) x))) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2)) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) 3) (*.f64 (cos.f64 y) x))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 (cos.f64 y) x))))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 y) x))) 1))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3)))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
(-.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 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.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))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.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))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(*.f64 x (cos.f64 y))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 y) x))) 1/3))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.33%	(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))
✓	0.41%	(-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1)
✓	0.41%	(*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1))
✓	0.63%	(+.f64 (cos.f64 y) 1)

Compiler

Compiled 108 to 64 computations (40.7% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite126.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`associate-/r/`
1390×	`associate-/l/`
1134×	`*-commutative`
268×	`add-sqr-sqrt`
264×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	90
1	256	52
2	3849	52

Stop Event

1×	node limit

Counts

4 → 295

Calls

Call 1

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

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

simplify240.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1602×	`associate-r`
1456×	`associate-l`
906×	`associate-/r*`
804×	`*-commutative`
688×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	685	15891
1	2184	15653

Stop Event

1×	node limit

Counts

343 → 508

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
4
(+.f64 4 (*.f64 -2 (pow.f64 y 2)))
(+.f64 4 (+.f64 (.f64 -2 (pow.f64 y 2)) (.f64 5/12 (pow.f64 y 4))))
(+.f64 (.f64 -17/360 (pow.f64 y 6)) (+.f64 4 (+.f64 (.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))))
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
3
(+.f64 3 (*.f64 -2 (pow.f64 y 2)))
(+.f64 3 (+.f64 (.f64 -2 (pow.f64 y 2)) (.f64 5/12 (pow.f64 y 4))))
(+.f64 (.f64 -17/360 (pow.f64 y 6)) (+.f64 3 (+.f64 (.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))))
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(-.f64 (+.f64 1 (cos.f64 y)) 0)
(-.f64 (+.f64 2 (cos.f64 y)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (-.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 3 (cos.f64 y)))) 2)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (+.f64 (/.f64 1 (cos.f64 y)) 1))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (/.f64 1 (+.f64 2 (cos.f64 y))))
(*.f64 1 (+.f64 1 (cos.f64 y)))
(*.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))
(*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 y) -1)) (fma.f64 (cos.f64 y) (cos.f64 y) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) (+.f64 1 (pow.f64 (cos.f64 y) 3)))
(*.f64 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (+.f64 1 (cos.f64 y)))
(*.f64 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (-.f64 (pow.f64 (cos.f64 y) 3) 1)) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (cos.f64 y))))) (+.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (cos.f64 y)))
(.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (-.f64 1 (cos.f64 y)) 3))) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (cos.f64 y))) (.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (pow.f64 (cos.f64 y) 2))) (+.f64 1 (cos.f64 y)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 1 (pow.f64 (cos.f64 y) 3))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 1 (pow.f64 (cos.f64 y) 3)))))
(/.f64 (+.f64 1 (cos.f64 y)) 1)
(/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
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(.f64 (/.f64 1 (/.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2))) 2))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 (pow.f64 (cos.f64 y) 2) 4)) (+.f64 (cos.f64 y) -2))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 (pow.f64 (cos.f64 y) 3) 8)) (-.f64 (+.f64 (pow.f64 (cos.f64 y) 2) 4) (*.f64 2 (cos.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2))) 2) (+.f64 2 (cos.f64 y))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) -1) (/.f64 1 (+.f64 2 (cos.f64 y)))) (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 4))) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) -1) (/.f64 1 (+.f64 2 (cos.f64 y)))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (pow.f64 (+.f64 1 (cos.f64 y)) 4)) (.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) 3) (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) 3))) (+.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (pow.f64 (+.f64 1 (cos.f64 y)) 4)) (-.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (sqrt.f64 (cos.f64 y)))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (cbrt.f64 (cos.f64 y)))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 2)) (pow.f64 (cos.f64 y) 2))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 2 (cos.f64 y)))) (cos.f64 y))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 2 (cos.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (cos.f64 y) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (cos.f64 y) 1)
(pow.f64 (/.f64 1 (cos.f64 y)) -1)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 -2 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(fma.f64 1 (+.f64 1 (cos.f64 y)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)

Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 2 (.f64 -1/2 (.f64 y y)))
(+.f64 2 (.f64 (.f64 -1/2 y) y))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 2 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
4
(+.f64 4 (*.f64 -2 (pow.f64 y 2)))
(+.f64 4 (.f64 (.f64 y y) -2))
(+.f64 4 (.f64 (.f64 -2 y) y))
(+.f64 4 (+.f64 (.f64 -2 (pow.f64 y 2)) (.f64 5/12 (pow.f64 y 4))))
(+.f64 4 (fma.f64 -2 (.f64 y y) (.f64 (pow.f64 y 4) 5/12)))
(+.f64 (.f64 -17/360 (pow.f64 y 6)) (+.f64 4 (+.f64 (.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))))
(fma.f64 -17/360 (pow.f64 y 6) (+.f64 4 (fma.f64 -2 (.f64 y y) (.f64 (pow.f64 y 4) 5/12))))
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
3
(+.f64 3 (*.f64 -2 (pow.f64 y 2)))
(+.f64 (.f64 (.f64 y y) -2) 3)
(+.f64 (.f64 (.f64 -2 y) y) 3)
(+.f64 3 (+.f64 (.f64 -2 (pow.f64 y 2)) (.f64 5/12 (pow.f64 y 4))))
(+.f64 (fma.f64 -2 (.f64 y y) (.f64 (pow.f64 y 4) 5/12)) 3)
(+.f64 (.f64 -17/360 (pow.f64 y 6)) (+.f64 3 (+.f64 (.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))))
(fma.f64 -17/360 (pow.f64 y 6) (+.f64 (fma.f64 -2 (.f64 y y) (.f64 (pow.f64 y 4) 5/12)) 3))
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (.f64 -1/2 (.f64 y y)) 1)
(+.f64 (.f64 (.f64 -1/2 y) y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) 1)
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(-.f64 (+.f64 1 (cos.f64 y)) 0)
(+.f64 1 (cos.f64 y))
(-.f64 (+.f64 2 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (-.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) 1))
(+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))))
(-.f64 (exp.f64 (log.f64 (+.f64 3 (cos.f64 y)))) 2)
(+.f64 1 (cos.f64 y))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (+.f64 (/.f64 1 (cos.f64 y)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (+.f64 1 (/.f64 1 (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (/.f64 1 (+.f64 2 (cos.f64 y))))
(+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))))
(*.f64 1 (+.f64 1 (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(*.f64 (+.f64 1 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))
(+.f64 1 (cos.f64 y))
(*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) 1) (+.f64 (cos.f64 y) -1))
(*.f64 (/.f64 1 (+.f64 (cos.f64 y) -1)) (+.f64 (pow.f64 (cos.f64 y) 2) -1))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 y) -1)) (fma.f64 (cos.f64 y) (cos.f64 y) -1))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) 1) (+.f64 (cos.f64 y) -1))
(*.f64 (/.f64 1 (+.f64 (cos.f64 y) -1)) (+.f64 (pow.f64 (cos.f64 y) 2) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) (+.f64 1 (pow.f64 (cos.f64 y) 3)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))
(*.f64 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (+.f64 1 (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(*.f64 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (-.f64 (pow.f64 (cos.f64 y) 3) 1)) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (+.f64 (pow.f64 (cos.f64 y) 3) -1)) (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (+.f64 -1 (pow.f64 (cos.f64 y) 3))) (+.f64 (cos.f64 y) (+.f64 1 (pow.f64 (cos.f64 y) 2))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (cos.f64 y))))) (+.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (cos.f64 y)))
(.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 (cos.f64 y) 4) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (cos.f64 y))))) (+.f64 (cos.f64 y) (+.f64 (pow.f64 (cos.f64 y) 2) -1)))
(.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (-.f64 1 (cos.f64 y)) 3))) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (cos.f64 y))) (.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (-.f64 1 (cos.f64 y)) 3))) (+.f64 (pow.f64 (cos.f64 y) 4) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 3) (pow.f64 (cos.f64 y) 6))) (+.f64 (pow.f64 (cos.f64 y) 4) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (pow.f64 (cos.f64 y) 2))) (+.f64 1 (cos.f64 y)))
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(.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 8) (.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))) (/.f64 (*.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) 3) (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) 3))))
(.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 8) (.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))) (/.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) 3) (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) 3)) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6)))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (sqrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 (cos.f64 y)) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y)))) (.f64 (sqrt.f64 (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y))))) (sqrt.f64 (+.f64 2 (cos.f64 y))))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(.f64 (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (sqrt.f64 (+.f64 2 (cos.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))) (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y))))) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cos.f64 y)) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y)))) (.f64 (cbrt.f64 (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2))))
(/.f64 (.f64 (cbrt.f64 (cos.f64 y)) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2))) (cbrt.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y))))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(.f64 (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y)))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(.f64 (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y)))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 2)) (pow.f64 (cos.f64 y) 2))
(/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (pow.f64 (cos.f64 y) 2)) (pow.f64 (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y)))) 2))
(/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y)))) (pow.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) 2))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 2 (cos.f64 y)))) (cos.f64 y))
(.f64 (cos.f64 y) (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (.f64 (+.f64 2 (cos.f64 y)) (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))))))
(.f64 (cos.f64 y) (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y))))) (+.f64 2 (cos.f64 y))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 2 (cos.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))
(.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (.f64 (+.f64 2 (cos.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))))
(.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 2 (cos.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (.f64 (expm1.f64 (.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (cos.f64 y) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (.f64 (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y)))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (.f64 (cos.f64 y) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (.f64 (cos.f64 y) (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (expm1.f64 (.f64 2 (log1p.f64 (cos.f64 y))))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))))
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (/.f64 1 (cos.f64 y)) -1)
(/.f64 1 (/.f64 1 (cos.f64 y)))
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 -2 (cos.f64 y))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) (-.f64 -2 (cos.f64 y))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y))))) (-.f64 -2 (cos.f64 y)))
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(fma.f64 1 (+.f64 1 (cos.f64 y)) -1)
(cos.f64 y)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)
(cos.f64 y)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)
(cos.f64 y)

eval579.0ms (5.4%)

Compiler: Compiled 28827 to 16657 computations (42.2% saved)

prune534.0ms (5%)

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	924	5	929
Fresh	2	22	24
Picked	1	0	1
Done	1	7	8
Total	928	34	962

Error

Counts

962 → 34

Alt Table

Click to see full alt table

Status	Error	Program
✓	52.06%	(fma.f64 z y x)
✓	0.23%	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	48.51%	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
	64.85%	(/.f64 (.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) 1/2)) (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))
	87.01%	(/.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))
	2.19%	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3))
	48.56%	(/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -2))
	58%	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
▶	57.9%	(/.f64 1 (/.f64 1 (*.f64 z (sin.f64 y))))
▶	63.75%	(/.f64 1 (/.f64 1 x))
	64.2%	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	67.72%	(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
	1.4%	(+.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 z (sin.f64 y)))
	56.47%	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
✓	52.07%	(+.f64 (*.f64 y z) x)
	0.41%	(+.f64 (.f64 x (/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	0.3%	(+.f64 (.f64 x (/.f64 1 (/.f64 1 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	0.38%	(+.f64 (.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (.f64 z (sin.f64 y)))
	0.44%	(+.f64 (.f64 x (+.f64 (+.f64 (cos.f64 y) -1) 1)) (.f64 z (sin.f64 y)))
✓	0.31%	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
✓	0.26%	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	0.97%	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
	0.93%	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	50.26%	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	0.96%	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))
✓	0.23%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.35%	(+.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
	69.79%	(+.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 y z))
	59.13%	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	23.85%	(+.f64 x (*.f64 z (sin.f64 y)))
	41.36%	(*.f64 (cos.f64 y) x)
	57.85%	(*.f64 z (sin.f64 y))
✓	85.84%	(*.f64 y z)
	63.68%	x

Compiler

Compiled 878 to 607 computations (30.9% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(*.f64 x (/.f64 1 (/.f64 1 (cos.f64 y))))
	0.23%	(*.f64 z (sin.f64 y))
✓	0.27%	(/.f64 1 (cos.f64 y))
✓	0.3%	(/.f64 1 (/.f64 1 (cos.f64 y)))

Compiler

Compiled 46 to 24 computations (47.8% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`add-sqr-sqrt`
1664×	`*-un-lft-identity`
1542×	`add-cube-cbrt`
1520×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	207	27
2	2210	27

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1580×	`associate-*r/`
1300×	`associate-/r*`
1130×	`associate-*l/`
698×	`associate-/l*`
634×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1400
1	393	1376
2	1847	1362

Stop Event

1×	node limit

Counts

110 → 120

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (cos.f64 y) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 -1 (neg.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) -1/2) -1) (pow.f64 (pow.f64 (cos.f64 y) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 y))) -1))
(pow.f64 (/.f64 1 (cos.f64 y)) -1)
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) -1))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 y)))) 1)
(*.f64 1 (/.f64 1 (cos.f64 y)))
(*.f64 (/.f64 1 (cos.f64 y)) 1)
(*.f64 (pow.f64 (cos.f64 y) -1/2) (pow.f64 (cos.f64 y) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (/.f64 1 (cos.f64 y))))
(*.f64 -1 (/.f64 -1 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) -1) (pow.f64 (sqrt.f64 (cos.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 y)) -1))
(pow.f64 (/.f64 1 (cos.f64 y)) 1)
(pow.f64 (cos.f64 y) -1)
(pow.f64 (pow.f64 (cos.f64 y) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) x))
(/.f64 x (/.f64 1 (cos.f64 y)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (cos.f64 y)) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (cos.f64 y)) (cbrt.f64 x)))
(/.f64 (*.f64 x -1) (/.f64 -1 (cos.f64 y)))
(/.f64 (*.f64 -1 x) (/.f64 -1 (cos.f64 y)))
(/.f64 (/.f64 x 1) (/.f64 1 (cos.f64 y)))
(/.f64 (/.f64 x (pow.f64 (cos.f64 y) -1/2)) (pow.f64 (cos.f64 y) -1/2))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (/.f64 1 (cos.f64 y))))
(/.f64 (neg.f64 x) (/.f64 -1 (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4)))
(+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 -1/2 y))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 -1/2 y))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/2))
(fma.f64 (*.f64 y y) 1/2 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 4) 5/24)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 5/24 (.f64 y (.f64 y 1/2))))
(+.f64 1 (fma.f64 (pow.f64 y 4) 5/24 (.f64 (.f64 y y) 1/2)))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 y 6) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 4) 5/24))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 61/720 (fma.f64 (pow.f64 y 4) 5/24 (.f64 y (.f64 y 1/2)))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 61/720 (fma.f64 (pow.f64 y 4) 5/24 (.f64 (.f64 y y) 1/2))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 (.f64 y y) x) x)
(fma.f64 -1/2 (.f64 (.f64 x y) y) x)
(.f64 (fma.f64 -1/2 (.f64 y y) 1) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(.f64 x (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (.f64 y (*.f64 -1/2 y)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))))
(+.f64 x (.f64 x (+.f64 (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 -1/2 y))) (.f64 -1/720 (pow.f64 y 6)))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 -1 (neg.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) -1/2) -1) (pow.f64 (pow.f64 (cos.f64 y) -1/2) -1))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 y))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (cos.f64 y)))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (/.f64 1 (cos.f64 y))))
(pow.f64 (/.f64 1 (cos.f64 y)) -1)
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(fabs.f64 (cos.f64 y))
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) -1))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 y)))) 1)
(/.f64 1 (cos.f64 y))
(*.f64 1 (/.f64 1 (cos.f64 y)))
(/.f64 1 (cos.f64 y))
(*.f64 (/.f64 1 (cos.f64 y)) 1)
(/.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) -1/2) (pow.f64 (cos.f64 y) -1/2))
(/.f64 1 (cos.f64 y))
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (/.f64 1 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (/.f64 1 (cos.f64 y))))
(*.f64 -1 (/.f64 -1 (cos.f64 y)))
(/.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) -1) (pow.f64 (sqrt.f64 (cos.f64 y)) -1))
(/.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 1 (cos.f64 y))
(pow.f64 (/.f64 1 (cos.f64 y)) 1)
(/.f64 1 (cos.f64 y))
(pow.f64 (cos.f64 y) -1)
(/.f64 1 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) -1/2) 2)
(/.f64 1 (cos.f64 y))
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 y))) 3)
(/.f64 1 (cos.f64 y))
(pow.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 3) 1/3)
(/.f64 1 (cos.f64 y))
(sqrt.f64 (pow.f64 (cos.f64 y) -2))
(fabs.f64 (/.f64 1 (cos.f64 y)))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 y))))
(/.f64 1 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 y)))))
(/.f64 1 (cos.f64 y))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 3))
(/.f64 1 (cos.f64 y))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))
(/.f64 1 (cos.f64 y))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(/.f64 1 (cos.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) 1))
(/.f64 1 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) -1))
(/.f64 1 (cos.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))
(/.f64 1 (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 (cos.f64 y) x)
(/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(/.f64 x (/.f64 1 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (cos.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 1 (cos.f64 y))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (cos.f64 y)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cos.f64 y))) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cos.f64 y)))
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cos.f64 y)))
(/.f64 (*.f64 x -1) (/.f64 -1 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(/.f64 (*.f64 -1 x) (/.f64 -1 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(/.f64 (/.f64 x 1) (/.f64 1 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(/.f64 (/.f64 x (pow.f64 (cos.f64 y) -1/2)) (pow.f64 (cos.f64 y) -1/2))
(*.f64 (cos.f64 y) x)
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (/.f64 1 (cos.f64 y))))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (/.f64 1 (cos.f64 y)))))
(/.f64 (neg.f64 x) (/.f64 -1 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(fabs.f64 (*.f64 (cos.f64 y) x))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2%	(/.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))

rewrite52.0ms (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))))))

simplify47.0ms (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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.23%	(*.f64 z (sin.f64 y))
✓	0.4%	(/.f64 1 (*.f64 z (sin.f64 y)))
✓	1.06%	(/.f64 1 (/.f64 1 (*.f64 z (sin.f64 y))))

Compiler

Compiled 26 to 12 computations (53.8% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`add-sqr-sqrt`
1678×	`*-un-lft-identity`
1554×	`add-cube-cbrt`
1534×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	203	28
2	2199	28

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1458×	`associate-+r+`
1084×	`associate-*r/`
1018×	`unswap-sqr`
950×	`associate-/r*`
752×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1446
1	400	1440
2	1616	1412
3	7879	1412

Stop Event

1×	node limit

Counts

88 → 93

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
	0.23%	(*.f64 z (sin.f64 y))
✓	0.54%	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
✓	0.57%	(pow.f64 (cos.f64 y) 3)

Compiler

Compiled 43 to 21 computations (51.2% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite99.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1282×	`unswap-sqr`
594×	`+-commutative`
536×	`cube-prod`
526×	`*-commutative`
522×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1073
1	322	1061
2	1289	1035
3	5154	1031

Stop Event

1×	node limit

Counts

97 → 98

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.07%	(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)
	0.13%	(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
	0.21%	(*.f64 x (cos.f64 y))
✓	0.41%	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)

Compiler

Compiled 46 to 15 computations (67.4% saved)

series94.0ms (0.9%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
40.0ms	y	@	inf	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
17.0ms	y	@	-inf	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
7.0ms	x	@	-inf	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
5.0ms	y	@	0	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
5.0ms	z	@	inf	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)

rewrite134.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`unswap-sqr`
758×	`swap-sqr`
520×	`sqr-pow`
482×	`pow-sqr`
324×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	309	52
2	3314	52

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

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 (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 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1)))) (#(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 (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 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simplify170.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1632×	`associate-r`
1198×	`associate-l`
1152×	`associate-/r*`
1124×	`associate-/l*`
742×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	729	22504
1	2542	22496

Stop Event

1×	node limit

Counts

156 → 279

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 (.f64 (pow.f64 z 2) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))))) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))))) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 -1/6 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (sqrt.f64 (.f64 (cos.f64 y) x))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))) (.f64 (cos.f64 y) x))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (sin.f64 y) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))))) (sqrt.f64 (.f64 (cos.f64 y) x)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (sin.f64 y) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))))))) (pow.f64 z 3)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))))) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))))) (.f64 (cos.f64 y) x))))
(/.f64 1 (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2))
(+.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2)) (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (*.f64 z (sin.f64 y)))))
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(/.f64 1 (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y)))))) 2))
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(/.f64 1 (/.f64 (+.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 (.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.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 (-.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 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.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)))) 1) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))
(/.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 (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 (.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 1))))
(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)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))) 1)
(.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2) 1)
(.f64 1 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2))
(.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/4))
(.f64 (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)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1)) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)))
(.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1/2))
(.f64 (.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/8) (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4))) (.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/8) (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/4))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -1/4) (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4))) (.f64 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -1/4) (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4)) (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/8)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4)) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/8)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -1/4) (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/8)) (.f64 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -1/4) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/8)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4)) (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -1/4)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4)) (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1/4)))
(.f64 (.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/8) (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -1/4)) (.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/8) (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1/4)))
(.f64 (.f64 (sqrt.f64 (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 (sqrt.f64 (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 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4)) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4)) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1)))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/4))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/4))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 2) -1/8) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) -1/8))
(.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) 3) 1/6))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2))) 1))))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1))
(log.f64 (exp.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)))
(exp.f64 (.f64 -1/2 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)))

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

eval719.0ms (6.7%)

Compiler: Compiled 29785 to 15392 computations (48.3% saved)

prune203.0ms (1.9%)

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	799	17	816
Fresh	12	10	22
Picked	1	0	1
Done	3	8	11
Total	815	35	850

Error

Counts

850 → 35

Alt Table

Click to see full alt table

Status	Error	Program
✓	52.06%	(fma.f64 z y x)
✓	0.23%	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	49.71%	(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -1/2)) 3) -2)
	68.3%	(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))) -2)
	79.59%	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
	58.53%	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
	58.65%	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) 3))
	58%	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
	85.89%	(/.f64 1 (/.f64 (/.f64 1 z) y))
✓	57.9%	(/.f64 1 (/.f64 1 (*.f64 z (sin.f64 y))))
	85.85%	(/.f64 1 (/.f64 1 (*.f64 z y)))
✓	63.75%	(/.f64 1 (/.f64 1 x))
	64.2%	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	67.72%	(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
	85.29%	(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
	58.01%	(/.f64 1 (*.f64 (/.f64 1 z) (/.f64 1 (sin.f64 y))))
	75.5%	(-.f64 (+.f64 1 x) 1)
	1.4%	(+.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 z (sin.f64 y)))
	0.27%	(+.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	0.49%	(+.f64 (/.f64 x (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (/.f64 1 (cos.f64 y))))) (.f64 z (sin.f64 y)))
	0.37%	(+.f64 (/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
	56.47%	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
✓	52.07%	(+.f64 (*.f64 y z) x)
	0.41%	(+.f64 (.f64 x (/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	0.38%	(+.f64 (.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (.f64 z (sin.f64 y)))
✓	0.31%	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
✓	0.23%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	23.85%	(+.f64 x (*.f64 z (sin.f64 y)))
	58.51%	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
	77.38%	(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
	58.54%	(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
	57.85%	(*.f64 (sin.f64 y) z)
	41.36%	(*.f64 (cos.f64 y) x)
✓	85.84%	(*.f64 y z)
	63.68%	x

Compiler

Compiled 428 to 315 computations (26.4% saved)

regimes148.0ms (1.4%)

Counts

67 → 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 1 (*.f64 z y)))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) z)
(fma.f64 z y x)
(+.f64 x (*.f64 z (sin.f64 y)))
(/.f64 1 (/.f64 1 (*.f64 z (sin.f64 y))))
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
(/.f64 1 (*.f64 (/.f64 1 z) (/.f64 1 (sin.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (+.f64 (+.f64 (cos.f64 y) -1) 1)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (/.f64 1 (/.f64 1 (cos.f64 y)))) (.f64 z (sin.f64 y)))
(+.f64 (/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))) -2)
(+.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 y z))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) 3))
(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
(+.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
(+.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (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 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
(/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -2))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.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 x (cos.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))
(+.f64 (/.f64 x (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (/.f64 1 (cos.f64 y))))) (.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -1/2)) 3) -2)
(/.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))))
(/.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 (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 (-.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 (.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) 1/2)) (sqrt.f64 (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)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.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 (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(.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))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))

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

Calls

4 calls:

33.0ms	z
33.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
30.0ms	x
28.0ms	y

Results

Error	Segments	Branch
0.23%	1	`x`
0.23%	1	`y`
0.23%	1	`z`
0.23%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 957 to 375 computations (60.8% saved)

regimes61.0ms (0.6%)

Counts

27 → 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 1 (*.f64 z y)))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) z)
(fma.f64 z y x)
(+.f64 x (*.f64 z (sin.f64 y)))
(/.f64 1 (/.f64 1 (*.f64 z (sin.f64 y))))
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
(/.f64 1 (*.f64 (/.f64 1 z) (/.f64 1 (sin.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (+.f64 (+.f64 (cos.f64 y) -1) 1)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (/.f64 1 (/.f64 1 (cos.f64 y)))) (.f64 z (sin.f64 y)))
(+.f64 (/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))

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

Calls

4 calls:

14.0ms	x
14.0ms	z
14.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
14.0ms	y

Results

Error	Segments	Branch
0.23%	1	`x`
0.23%	1	`y`
0.23%	1	`z`
0.23%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 242 to 127 computations (47.5% saved)

regimes123.0ms (1.1%)

Counts

18 → 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 1 (*.f64 z y)))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) z)
(fma.f64 z y x)
(+.f64 x (*.f64 z (sin.f64 y)))
(/.f64 1 (/.f64 1 (*.f64 z (sin.f64 y))))
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
(/.f64 1 (*.f64 (/.f64 1 z) (/.f64 1 (sin.f64 y))))

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

Calls

3 calls:

64.0ms	x
28.0ms	y
27.0ms	z

Results

Error	Segments	Branch
13.85%	3	`x`
22.13%	3	`y`
11.12%	3	`z`

Compiler

Compiled 136 to 80 computations (41.2% saved)

bsearch94.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	3.699246855320745e-95	6.1505332496311265e-89
32.0ms	-6.170590992790267e-13	-2.6103696685870096e-15

Results

46.0ms	144×	body	256	valid
32.0ms	71×	body	1024	valid
13.0ms	41×	body	512	valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

regimes239.0ms (2.2%)

Counts

14 → 8

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

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

Calls

3 calls:

90.0ms	x
77.0ms	z
68.0ms	y

Results

Error	Segments	Branch
21.42%	7	`x`
21.55%	6	`y`
20.85%	8	`z`

Compiler

Compiled 104 to 63 computations (39.4% saved)

bsearch437.0ms (4.1%)

Algorithm

7×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.869008816040244e+65	2.086730104668645e+69
31.0ms	-6.170590992790267e-13	-2.6103696685870096e-15
85.0ms	-3.728310682568046e+34	-1.5606942065713312e+29
31.0ms	-3.819751643145129e+42	-3.706650242663842e+40
140.0ms	-1.2000678490272026e+128	-8.036503099098751e+106
27.0ms	-7.359351329333627e+138	-2.9415606558206073e+136
88.0ms	-8.033551342338843e+187	-1.007028477192694e+183

Results

197.0ms	239×	body	1024	valid
190.0ms	554×	body	256	valid
39.0ms	135×	body	512	valid

Compiler

Compiled 962 to 693 computations (28% saved)

regimes204.0ms (1.9%)

Counts

13 → 8

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

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

Calls

3 calls:

93.0ms	y
57.0ms	z
50.0ms	x

Results

Error	Segments	Branch
21.42%	7	`x`
21.55%	6	`y`
20.86%	8	`z`

Compiler

Compiled 100 to 62 computations (38% saved)

bsearch257.0ms (2.4%)

Algorithm

7×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	1.869008816040244e+65	2.086730104668645e+69
30.0ms	-6.170590992790267e-13	-2.6103696685870096e-15
40.0ms	-3.728310682568046e+34	-1.5606942065713312e+29
31.0ms	-3.819751643145129e+42	-3.706650242663842e+40
50.0ms	-1.2000678490272026e+128	-8.036503099098751e+106
29.0ms	-7.359351329333627e+138	-2.9415606558206073e+136
39.0ms	-8.033551342338843e+187	-1.007028477192694e+183

Results

108.0ms	228×	body	1024	valid
94.0ms	551×	body	256	valid
43.0ms	149×	body	512	valid

Compiler

Compiled 978 to 709 computations (27.5% saved)

regimes89.0ms (0.8%)

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

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

Calls

3 calls:

39.0ms	z
30.0ms	x
18.0ms	y

Results

Error	Segments	Branch
38.54%	5	`x`
25.1%	3	`y`
38.45%	5	`z`

Compiler

Compiled 92 to 59 computations (35.9% saved)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.011456008609164495	3.116246557796798
23.0ms	-39980.14415304869	-13.71251514317948

Results

45.0ms

256×

body

256

valid

Compiler

Compiled 290 to 205 computations (29.3% saved)

regimes21.0ms (0.2%)

Counts

10 → 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 1 (*.f64 z y)))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 y z)) (/.f64 1 (.f64 y z))))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))

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

Calls

3 calls:

7.0ms	y
6.0ms	z
6.0ms	x

Results

Error	Segments	Branch
52.07%	1	`x`
52.07%	1	`y`
52.07%	1	`z`

Compiler

Compiled 88 to 57 computations (35.2% saved)

regimes35.0ms (0.3%)

Accuracy

Total -24.3b remaining (-63.8%)

Threshold costs -24.3b (-63.8%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)

Outputs
x
(*.f64 y z)
x

Calls

3 calls:

16.0ms	y
9.0ms	x
9.0ms	z

Results

Error	Segments	Branch
59.58%	3	`x`
60.04%	5	`y`
61.37%	2	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch130.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
70.0ms	3.029602512917585e-301	4.096986906424994e-287
59.0ms	-7.533301677007812e-115	-4.500889822750068e-118

Results

83.0ms	80×	body	1024	valid
28.0ms	173×	body	256	valid
11.0ms	35×	body	512	valid

Compiler

Compiled 234 to 175 computations (25.2% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	499
1	99	499

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -4436777100798803/1267650600228229401496703205376) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (.f64 (cos.f64 y) x) (+.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -1020000000000000018647292391513896605453517412231588395190811514688399900412628169803667372030559409080198839725996284369605699025393287069351882058232563650043382959512490426572472320) (.f64 z (sin.f64 y)) (if (<=.f64 z -1600000000000000052546499982727881726379220106175378712819701482013995211038060792870402105004363860294319207654915896925837585014738386944) (+.f64 (.f64 y z) x) (if (<=.f64 z -3200000000000000049790131614293897677658244470147396586783265857378668099727218250447953247728151832563860098777088000) (.f64 z (sin.f64 y)) (if (<=.f64 z -39000000000000000822087764980925548462080) (.f64 (cos.f64 y) x) (if (<=.f64 z -699999999999999957624242044928) (.f64 z (sin.f64 y)) (if (<=.f64 z -1436010445571041/2475880078570760549798248448) (fma.f64 z y x) (if (<=.f64 z 449999999999999984748660719629128983072923885893772891897597001728) (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))))
(if (<=.f64 z -350000000000000023057664857636131127819931956059545705559041004966630386184596790477653305275829411466524680408340490573356228661668492289696290212370368731002982110691260378266438991872) (.f64 z (sin.f64 y)) (if (<=.f64 z -1800000000000000059114812480568866942176622619447301051922164167265744612417818391979202368129909342831109108611780384041567283141580685312) (+.f64 (.f64 y z) x) (if (<=.f64 z -125000000000000004249873964125353074367996839964112255964178839354734408965400104161592702047591680740163584) (.f64 z (sin.f64 y)) (if (<=.f64 z -1600000000000000009920138320652453111922688) (.f64 (cos.f64 y) x) (if (<=.f64 z -25499999999999998395995608055808) (.f64 z (sin.f64 y)) (if (<=.f64 z -5446936172855673/9903520314283042199192993792) (+.f64 (.f64 y z) x) (if (<=.f64 z 3999999999999999781289335472989780502838586280084991698663366459392) (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))))))
(if (<=.f64 y -14) (.f64 z (sin.f64 y)) (if (<=.f64 y 5620492334958379/288230376151711744) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 x -2555292390101743/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) x (if (<=.f64 x 3004247240801587/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (*.f64 y z) x))
x

Outputs
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(if (<=.f64 z -4436777100798803/1267650600228229401496703205376) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (.f64 (cos.f64 y) x) (+.f64 x (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -4436777100798803/1267650600228229401496703205376) (not (<=.f64 z 4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936))) (+.f64 x (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y)))
(if (<=.f64 z -1020000000000000018647292391513896605453517412231588395190811514688399900412628169803667372030559409080198839725996284369605699025393287069351882058232563650043382959512490426572472320) (.f64 z (sin.f64 y)) (if (<=.f64 z -1600000000000000052546499982727881726379220106175378712819701482013995211038060792870402105004363860294319207654915896925837585014738386944) (+.f64 (.f64 y z) x) (if (<=.f64 z -3200000000000000049790131614293897677658244470147396586783265857378668099727218250447953247728151832563860098777088000) (.f64 z (sin.f64 y)) (if (<=.f64 z -39000000000000000822087764980925548462080) (.f64 (cos.f64 y) x) (if (<=.f64 z -699999999999999957624242044928) (.f64 z (sin.f64 y)) (if (<=.f64 z -1436010445571041/2475880078570760549798248448) (fma.f64 z y x) (if (<=.f64 z 449999999999999984748660719629128983072923885893772891897597001728) (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))))
(if (<=.f64 z -1020000000000000018647292391513896605453517412231588395190811514688399900412628169803667372030559409080198839725996284369605699025393287069351882058232563650043382959512490426572472320) (.f64 z (sin.f64 y)) (if (<=.f64 z -1600000000000000052546499982727881726379220106175378712819701482013995211038060792870402105004363860294319207654915896925837585014738386944) (+.f64 x (.f64 y z)) (if (<=.f64 z -3200000000000000049790131614293897677658244470147396586783265857378668099727218250447953247728151832563860098777088000) (.f64 z (sin.f64 y)) (if (<=.f64 z -39000000000000000822087764980925548462080) (.f64 x (cos.f64 y)) (if (<=.f64 z -699999999999999957624242044928) (.f64 z (sin.f64 y)) (if (<=.f64 z -1436010445571041/2475880078570760549798248448) (fma.f64 z y x) (if (<=.f64 z 449999999999999984748660719629128983072923885893772891897597001728) (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))))
(if (<=.f64 z -350000000000000023057664857636131127819931956059545705559041004966630386184596790477653305275829411466524680408340490573356228661668492289696290212370368731002982110691260378266438991872) (.f64 z (sin.f64 y)) (if (<=.f64 z -1800000000000000059114812480568866942176622619447301051922164167265744612417818391979202368129909342831109108611780384041567283141580685312) (+.f64 (.f64 y z) x) (if (<=.f64 z -125000000000000004249873964125353074367996839964112255964178839354734408965400104161592702047591680740163584) (.f64 z (sin.f64 y)) (if (<=.f64 z -1600000000000000009920138320652453111922688) (.f64 (cos.f64 y) x) (if (<=.f64 z -25499999999999998395995608055808) (.f64 z (sin.f64 y)) (if (<=.f64 z -5446936172855673/9903520314283042199192993792) (+.f64 (.f64 y z) x) (if (<=.f64 z 3999999999999999781289335472989780502838586280084991698663366459392) (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))))))
(if (<=.f64 z -350000000000000023057664857636131127819931956059545705559041004966630386184596790477653305275829411466524680408340490573356228661668492289696290212370368731002982110691260378266438991872) (.f64 z (sin.f64 y)) (if (<=.f64 z -1800000000000000059114812480568866942176622619447301051922164167265744612417818391979202368129909342831109108611780384041567283141580685312) (+.f64 x (.f64 y z)) (if (<=.f64 z -125000000000000004249873964125353074367996839964112255964178839354734408965400104161592702047591680740163584) (.f64 z (sin.f64 y)) (if (<=.f64 z -1600000000000000009920138320652453111922688) (.f64 x (cos.f64 y)) (if (<=.f64 z -25499999999999998395995608055808) (.f64 z (sin.f64 y)) (if (<=.f64 z -5446936172855673/9903520314283042199192993792) (+.f64 x (.f64 y z)) (if (<=.f64 z 3999999999999999781289335472989780502838586280084991698663366459392) (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))))
(if (<=.f64 y -14) (.f64 z (sin.f64 y)) (if (<=.f64 y 5620492334958379/288230376151711744) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (or (<=.f64 y -14) (not (<=.f64 y 5620492334958379/288230376151711744))) (.f64 z (sin.f64 y)) (+.f64 x (.f64 y z)))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 x -2555292390101743/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) x (if (<=.f64 x 3004247240801587/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (*.f64 y z) x))
x

Compiler

Compiled 223 to 123 computations (44.8% saved)

soundness13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 20 to 9 computations (55% saved)

end67.0ms (0.6%)

Compiler: Compiled 199 to 75 computations (62.3% saved)