Details

analyze309.0ms (3.2%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.4s (24.7%)

Results

1.0s	2051×	body	1024	valid
967.0ms	5185×	body	256	valid
374.0ms	1013×	body	512	valid
5.0ms	7×	body	2048	valid

Bogosity

preprocess16.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

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

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

Inputs
(*.f64 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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simplify102.0ms (1.1%)

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)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(fma.f64 x (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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(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)))))))))

simplify123.0ms (1.3%)

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)))

eval118.0ms (1.2%)

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

prune135.0ms (1.4%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	358	22	380
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	358	24	382

Error

0.0b

Counts

382 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	30.9b	(fma.f64 z y x)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	38.7b	(/.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)))))))
▶	38.3b	(/.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)))))
	29.1b	(/.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)))))
	29.4b	(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (/.f64 (/.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
	28.8b	(/.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))))
▶	0.3b	(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
▶	30.9b	(+.f64 (*.f64 y z) x)
	0.4b	(+.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	0.2b	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	0.3b	(+.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	26.4b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	0.3b	(+.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
	14.7b	(+.f64 x (*.f64 z (sin.f64 y)))
	31.7b	(.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))
	38.3b	(.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)))
	24.5b	(*.f64 (cos.f64 y) x)
	38.7b	(*.f64 z (sin.f64 y))
	38.6b	x

Compiler

Compiled 985 to 552 computations (44% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

85 → 85

Calls

Call 1

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

Outputs
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 y (.f64 y x)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 y (.f64 x y)) x))
(fma.f64 x (.f64 y (.f64 y -1/2)) (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (.f64 y (*.f64 y x)) x)))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (fma.f64 -1/2 (.f64 y (*.f64 x y)) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) -1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (cos.f64 y)))) (-.f64 1 (.f64 (sin.f64 y) z)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (.f64 x (cos.f64 y))))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))
(.f64 (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 x (cos.f64 y) (.f64 z (sin.f64 y))) 1/4) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/4))
(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x (.f64 (cos.f64 y) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (.f64 x (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))
(.f64 (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 x (cos.f64 y) (.f64 z (sin.f64 y))) 1/4) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/4))
(.f64 (sqrt.f64 (.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))
(.f64 (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 (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 5/2)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/6))
(.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (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))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 5)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
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(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
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localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 14 computations (68.9% saved)

series6.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite119.0ms (1.2%)

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

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

simplify134.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

309 → 253

Calls

Call 1

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	6.2b	(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	@	0	(sqrt.f64 (*.f64 z (sin.f64 y)))
0.0ms	y	@	0	(sqrt.f64 (*.f64 z (sin.f64 y)))

rewrite61.0ms (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))))))))

simplify50.0ms (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))

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(+.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))))
✓	2.2b	(.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
✓	3.4b	(+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))
✓	36.9b	(/.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)))))

Compiler

Compiled 130 to 34 computations (73.8% saved)

series23.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/.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)))))
3.0ms	y	@	inf	(/.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)))))
2.0ms	y	@	-inf	(/.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)))))
1.0ms	y	@	0	(/.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)))))
1.0ms	x	@	0	(/.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)))))

rewrite126.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`associate-+l+`
474×	`add-sqr-sqrt`
464×	`*-un-lft-identity`
458×	`pow1`
442×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	256
1	466	248
2	6574	248

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

Outputs
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(.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))) (pow.f64 (cbrt.f64 (/.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) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.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) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))) 2) (cbrt.f64 (/.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) (-.f64 (.f64 z (sin.f64 y)) (.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 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (.f64 (sin.f64 y) (.f64 z (-.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)) (hypot.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (.f64 (sin.f64 y) (.f64 z (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)) 2))) (/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (cbrt.f64 (fma.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (cos.f64 y) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 4) (pow.f64 (.f64 (sin.f64 y) (.f64 z (-.f64 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simplify226.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1466×	`associate-+r+`
1174×	`+-commutative`
896×	`associate-r`
788×	`fma-def`
774×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	517	22168
1	1500	19698
2	7298	19698

Stop Event

1×	node limit

Counts

298 → 313

Calls

Call 1

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

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

eval418.0ms (4.4%)

Compiler: Compiled 26176 to 8848 computations (66.2% saved)

prune221.0ms (2.3%)

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	889	13	902
Fresh	4	13	17
Picked	1	0	1
Done	2	4	6
Total	896	30	926

Error

0.0b

Counts

926 → 30

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
▶	30.9b	(fma.f64 z y x)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	31.7b	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
	29.1b	(/.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)))))
▶	1.4b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3))
	38.8b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
	28.5b	(/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) -2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))))
	31.9b	(/.f64 1 (/.f64 1 (/.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) -1/2) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))))
	24.6b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
	38.6b	(/.f64 1 (/.f64 1 x))
	39.0b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	41.4b	(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
✓	30.9b	(+.f64 (*.f64 y z) x)
	0.4b	(+.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
▶	0.2b	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	0.3b	(+.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	0.6b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
	33.4b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	29.9b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	0.3b	(+.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
	14.7b	(+.f64 x (*.f64 z (sin.f64 y)))
	31.7b	(.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))
	32.8b	(.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)))))))
	24.5b	(*.f64 (cos.f64 y) x)
	38.7b	(*.f64 z (sin.f64 y))
▶	54.4b	(*.f64 y z)
	38.6b	x

Compiler

Compiled 858 to 548 computations (36.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

simplify94.0ms (1%)

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)

localize4.0ms (0%)

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

localize4.0ms (0%)

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
✓	6.6b	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series14.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
1.0ms	y	@	inf	(cbrt.f64 (*.f64 z (sin.f64 y)))
1.0ms	y	@	-inf	(cbrt.f64 (*.f64 z (sin.f64 y)))
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1694×	`associate-+r+`
1574×	`associate-+l+`
1066×	`unswap-sqr`
536×	`distribute-lft-neg-in`
536×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1035
1	255	1035
2	871	1035
3	3379	1035

Stop Event

1×	node limit

Counts

73 → 62

Calls

Call 1

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

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

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3))
✓	0.3b	(/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
✓	0.5b	(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
✓	0.7b	(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3)

Compiler

Compiled 72 to 22 computations (69.4% saved)

series89.0ms (0.9%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
39.0ms	y	@	inf	(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
8.0ms	z	@	0	(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3)
5.0ms	z	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3)
5.0ms	x	@	0	(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3)
5.0ms	x	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 3)

rewrite114.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

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

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

simplify257.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1256×	`associate-/r*`
1172×	`associate-/l*`
596×	`*-commutative`
558×	`unswap-sqr`
494×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	995	29316
1	2921	28820

Stop Event

1×	node limit

Counts

378 → 491

Calls

Call 1

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

Outputs
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/9) (sin.f64 y)))) z))
(+.f64 (/.f64 1 (.f64 (cos.f64 y) x)) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 22) (pow.f64 x 22))) 1/18)) (sin.f64 y)) -1) z))
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(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (cos.f64 y) x))
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(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
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(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 3) (-.f64 (.f64 z -1/6) (fma.f64 1/27 (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (.f64 x x)))) (.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (.f64 z (-.f64 (.f64 x -1/2) (.f64 1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))))))))))) (+.f64 (cbrt.f64 x) (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (.f64 y y) (-.f64 (.f64 x -1/2) (.f64 1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 y z))))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 y 3)) (-.f64 (.f64 z -1/6) (fma.f64 1/27 (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (.f64 x x)))) (.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18))) (.f64 z (fma.f64 -1/2 x (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))))))))) (+.f64 (cbrt.f64 x) (.f64 1/3 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 y z)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (.f64 y y) (fma.f64 -1/2 x (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))))))))))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
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(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18)) (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 (sin.f64 y) z)))
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(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18)) (.f64 (cos.f64 y) x)) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))))) -5/27)) (pow.f64 x 3)) (+.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18))) (pow.f64 (.f64 (cos.f64 y) x) 2)))))
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 16) (pow.f64 x 16))) 1/9) (*.f64 z (sin.f64 y)))))
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(+.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 16) (pow.f64 x 16))) 1/9) (.f64 z (sin.f64 y)))) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 35) (pow.f64 x 35))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 z 2))))))
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(.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(.f64 (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)))) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) 2) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1/6) 3))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 2) 3) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -1/2) -3) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1/2) -3))
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) -1/2) -6)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -2)) -3) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) -3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) -2)) -3) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))) -3))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -2) -1))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) -1))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -3/2) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -3/2) -1))
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) -3/2) -2)
(.f64 (/.f64 (cbrt.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 (neg.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(.f64 (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)))) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) 2) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))))
(.f64 (/.f64 (pow.f64 (cbrt.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)))) -1/2)) (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 1/6))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) 2) (pow.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) -1/2))
(.f64 (/.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))) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) -2)))
(/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) -2)) 4) 1))
(.f64 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) -2))) (cbrt.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(.f64 (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)))) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z))) 2) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))))
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) -3)
(pow.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(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 (sin.f64 y) z))
(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 (sin.f64 y) z)) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) -1))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(exp.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 1))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))

eval510.0ms (5.3%)

Compiler: Compiled 27371 to 14202 computations (48.1% saved)

prune245.0ms (2.6%)

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	714	11	725
Fresh	5	16	21
Picked	1	0	1
Done	2	6	8
Total	722	33	755

Error

Counts

755 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓	30.9b	(fma.f64 z y x)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	31.7b	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
	1.4b	(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) -3)
▶	25.4b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3))
	39.1b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 y) z))) 3))
	25.4b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))) 3))
	38.8b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
	1.2b	(/.f64 1 (/.f64 (.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 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
	28.5b	(/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) -2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))))
▶	24.6b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
▶	38.6b	(/.f64 1 (/.f64 1 x))
	39.0b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	41.4b	(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 z (sin.f64 y)))
✓	30.9b	(+.f64 (*.f64 y z) x)
	0.4b	(+.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	23.8b	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (.f64 y z))
	0.3b	(+.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	0.7b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3))
	0.5b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))))
	33.4b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	29.9b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.3b	(+.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
	15.1b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	14.7b	(+.f64 x (*.f64 z (sin.f64 y)))
	31.7b	(.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))
	38.7b	(*.f64 (sin.f64 y) z)
	24.5b	(*.f64 (cos.f64 y) x)
✓	54.4b	(*.f64 y z)
	38.6b	x

Compiler

Compiled 863 to 588 computations (31.9% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 21 computations (51.2% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

97 → 99

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite62.0ms (0.6%)

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))))))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
✓	0.1b	(*.f64 (cos.f64 y) x)
✓	0.1b	(/.f64 1 (*.f64 (cos.f64 y) x))
✓	0.2b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))

Compiler

Compiled 26 to 12 computations (53.8% saved)

series3.0ms (0%)

Counts

3 → 32

Calls

18 calls:

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

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	39
1	203	39
2	2199	39

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

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

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-*r/`
1234×	`unswap-sqr`
1216×	`associate-/r*`
930×	`associate-*l/`
910×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1953
1	400	1937
2	1616	1925

Stop Event

1×	node limit

Counts

117 → 106

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3))
✓	0.3b	(/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))
✓	0.6b	(cbrt.f64 (*.f64 (cos.f64 y) x))
✓	0.7b	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)

Compiler

Compiled 45 to 20 computations (55.6% saved)

series34.0ms (0.4%)

Counts

4 → 60

Calls

24 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3))
3.0ms	y	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)
2.0ms	y	@	-inf	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)
2.0ms	y	@	0	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)
2.0ms	x	@	inf	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3))

rewrite105.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`*-commutative`
874×	`unswap-sqr`
752×	`associate-*r/`
658×	`associate-/r*`
580×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	90
1	271	64
2	3171	64

Stop Event

1×	node limit

Counts

4 → 361

Calls

Call 1

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

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

simplify165.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-/r*`
1156×	`associate-/l*`
832×	`*-commutative`
694×	`associate-+r+`
636×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	784	13387
1	2080	11901
2	7441	11901

Stop Event

1×	node limit

Counts

421 → 515

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 x))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x))))) (.f64 (pow.f64 1 1/3) (/.f64 1 x)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x))))) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 x)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (.f64 1/12 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))))))))
(+.f64 (.f64 (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (+.f64 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/72 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (.f64 83/3240 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (.f64 1/12 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))) (.f64 83/6480 (.f64 (pow.f64 1 1/3) (/.f64 1 x)))))) (pow.f64 y 6)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x))))) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 x)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (.f64 1/12 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))))))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (/.f64 1 x) 1/3)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 y 2))) (pow.f64 (/.f64 1 x) 1/3))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 y 2))) (+.f64 (pow.f64 (/.f64 1 x) 1/3) (.f64 1/24 (.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 y 4)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 y 2))) (+.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/24 (.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 y 4))) (.f64 83/6480 (.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 y 6))))))
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3)
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 (cos.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 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))) 1)
(.f64 1 (/.f64 1 (.f64 (cos.f64 y) x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2)) 3))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) x))) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2))))
(.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1)
(.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x))) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (cos.f64 y) x)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2) (/.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (.f64 (cos.f64 y) x))))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)) (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2) (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2) (neg.f64 (/.f64 -1 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(.f64 -1 (/.f64 -1 (.f64 (cos.f64 y) x)))
(.f64 (/.f64 -1 (.f64 (cos.f64 y) x)) -1)
(.f64 (sqrt.f64 (/.f64 -1 (.f64 (cos.f64 y) x))) (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) x)))))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) x))) (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) x)))) (neg.f64 (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) x)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2) (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)) (/.f64 -1 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (/.f64 -1 (cbrt.f64 (.f64 (cos.f64 y) x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2)))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 (cos.f64 y) x))) (/.f64 -1 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)) 3) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x))) 1) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2) (cbrt.f64 (cos.f64 y))) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) x))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (.f64 (cos.f64 y) x)))) (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) x))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) x))) (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) x))))) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) x))))
(.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (.f64 (cos.f64 y) x)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2))
(.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (.f64 (cos.f64 y) x)))) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2))) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (/.f64 1 (*.f64 (cos.f64 y) x)))
(.f64 (.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/6) -1) (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) x)))) (.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/6) -1) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) x))) 3/4) (sqrt.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x))))) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) x))) 3/4) (sqrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2) 3/2) (sqrt.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2) 3/2) (sqrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x)))) (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) x))) 3/4)) (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x)))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3/4)))
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(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))))) 1)
(.f64 1 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) x))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) x))) 1)
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(.f64 -1 (cbrt.f64 (/.f64 -1 (.f64 (cos.f64 y) x))))
(.f64 -1 (/.f64 -1 (cbrt.f64 (.f64 (cos.f64 y) x))))
(.f64 (/.f64 -1 (cbrt.f64 (.f64 (cos.f64 y) x))) -1)
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) (/.f64 1 (cbrt.f64 x)))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/6) -1) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) -1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) -1))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) -1) (pow.f64 (cbrt.f64 x) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (cos.f64 y)) -1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))))) (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2)))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))))) (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -1/2))))
(.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/6))
(.f64 (pow.f64 (.f64 (cos.f64 y) x) -1/6) (pow.f64 (*.f64 (cos.f64 y) x) -1/6))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) -1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))))))
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(exp.f64 (.f64 -1/3 (log.f64 (.f64 (cos.f64 y) x))))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(.f64 1 (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.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 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3))
(.f64 (.f64 (cos.f64 y) x) 1)
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/6) (.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 x (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 x (cbrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 x) (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cos.f64 y) (cbrt.f64 x)))
(.f64 -1 (.f64 (cos.f64 y) (neg.f64 x)))
(.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) 3))
(.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(.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 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 x (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (cos.f64 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (cos.f64 y) (neg.f64 x)) -1)
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3/2))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2)) (neg.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2) -3) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -1/2) -3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)) -3) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) -3))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))) -3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2)) -3))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) -1))
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))) -1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2)) (pow.f64 (.f64 (cos.f64 y) x) 1/6))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2))) (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))))
(.f64 (/.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (/.f64 -1 (cbrt.f64 (.f64 (cos.f64 y) x)))) (neg.f64 (cbrt.f64 (.f64 (cos.f64 y) x))))
(.f64 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2))) (neg.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (/.f64 1 (cbrt.f64 (cos.f64 y)))) (cbrt.f64 x))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6)) (cbrt.f64 (.f64 (cos.f64 y) x))) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6)) (cbrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6))) (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6))))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/6))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) -3)
(pow.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 (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))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))

Outputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x))))) (.f64 (pow.f64 1 1/3) (/.f64 1 x)))
(fma.f64 (.f64 y y) (.f64 (/.f64 1 x) 1/2) (/.f64 1 x))
(fma.f64 (*.f64 y y) (/.f64 1/2 x) (/.f64 1 x))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x))))) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 x)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (.f64 1/12 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))))))))
(+.f64 (fma.f64 (.f64 y y) (.f64 (/.f64 1 x) 1/2) (/.f64 1 x)) (.f64 (pow.f64 y 4) (fma.f64 1/18 (/.f64 1 x) (fma.f64 1/24 (/.f64 1 x) (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) 1/9))))))
(fma.f64 (.f64 y y) (/.f64 1/2 x) (fma.f64 (pow.f64 y 4) (+.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) 1/9)) (*.f64 (/.f64 1 x) 7/72)) (/.f64 1 x)))
(+.f64 (.f64 (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (+.f64 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/72 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (.f64 83/3240 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (.f64 1/12 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))) (.f64 83/6480 (.f64 (pow.f64 1 1/3) (/.f64 1 x)))))) (pow.f64 y 6)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x))))) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 x)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (.f64 1/12 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))))))))
(fma.f64 (fma.f64 1/72 (/.f64 1 x) (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) 16/405) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) 1/9)) (.f64 (/.f64 1 x) 83/6480)))) (pow.f64 y 6) (+.f64 (fma.f64 (.f64 y y) (.f64 (/.f64 1 x) 1/2) (/.f64 1 x)) (.f64 (pow.f64 y 4) (fma.f64 1/18 (/.f64 1 x) (fma.f64 1/24 (/.f64 1 x) (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) 1/9)))))))
(fma.f64 (+.f64 (/.f64 1/72 x) (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) 16/405) (fma.f64 (.f64 1/6 (cbrt.f64 (/.f64 1 x))) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) 1/9) (/.f64 83/6480 x)))) (pow.f64 y 6) (fma.f64 (.f64 y y) (/.f64 1/2 x) (fma.f64 (pow.f64 y 4) (+.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) 1/9)) (.f64 (/.f64 1 x) 7/72)) (/.f64 1 x))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(/.f64 1 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(/.f64 1 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(/.f64 1 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(/.f64 1 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(/.f64 1 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(/.f64 1 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(/.f64 1 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (cos.f64 y) x)))
(/.f64 1 (*.f64 x (cos.f64 y)))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 x))) (cbrt.f64 x))
(fma.f64 (.f64 -1/6 (cbrt.f64 x)) (.f64 y y) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/24))) (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 x)))) (cbrt.f64 x))
(+.f64 (fma.f64 (.f64 -1/6 (cbrt.f64 x)) (.f64 y y) (cbrt.f64 x)) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (*.f64 x -1/24)))))
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(/.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -2))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -1/2)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) -2))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -2)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) -1/2))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))))) (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))))
(/.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -1/2))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -2))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -1/2)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) -2))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -2)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) -1/2))))
(.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/6))
(cbrt.f64 (/.f64 1 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (.f64 (cos.f64 y) x) -1/6) (pow.f64 (*.f64 (cos.f64 y) x) -1/6))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) -1/6) (pow.f64 (*.f64 x (cos.f64 y)) -1/6))
(pow.f64 (exp.f64 -1/3) (log.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -1)
(/.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1)
(/.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) x) -1/3)
(.f64 (pow.f64 (.f64 x (cos.f64 y)) -1/6) (pow.f64 (*.f64 x (cos.f64 y)) -1/6))
(pow.f64 (exp.f64 -1/3) (log.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -1/2) 2)
(/.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 3)
(/.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))))))
(/.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))
(cbrt.f64 (/.f64 1 (*.f64 x (cos.f64 y))))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 -1/3 (log.f64 (.f64 (cos.f64 y) x))))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) -1/6) (pow.f64 (*.f64 x (cos.f64 y)) -1/6))
(pow.f64 (exp.f64 -1/3) (log.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.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 (cos.f64 y) x)
(*.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 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/6) (.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 x (sqrt.f64 (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 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x)))
(*.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 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 x (cbrt.f64 (cos.f64 y))))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 x) (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 x (cos.f64 y))
(.f64 -1 (.f64 (cos.f64 y) (neg.f64 x)))
(*.f64 x (cos.f64 y))
(.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) 3))
(*.f64 x (cos.f64 y))
(.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.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 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (neg.f64 x)) -1)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3/2))
(*.f64 x (cos.f64 y))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2)) (neg.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2) -3) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -1/2) -3))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) -1/2) -6)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2)) -3) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) -3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -2)) -3) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) -3))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x)))) -3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2)) -3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -2)) -3) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) -3))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (cos.f64 y) x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) -2) -1))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) -1))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))) -1))
(*.f64 x (cos.f64 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -1/2)) (pow.f64 (.f64 (cos.f64 y) x) 1/6))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/6) (/.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2))) (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 y) x))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -2)))
(/.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) -2)) 4))
(.f64 (/.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (/.f64 -1 (cbrt.f64 (.f64 (cos.f64 y) x)))) (neg.f64 (cbrt.f64 (.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(.f64 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) -2))) (neg.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (/.f64 1 (cbrt.f64 (cos.f64 y)))) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6)) (cbrt.f64 (.f64 (cos.f64 y) x))) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6)) (cbrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6)) (.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/6))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))))
(.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6))) (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6)) (.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/6))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/6))
(*.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 x (cos.f64 y))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y)))) -3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) -1)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(fabs.f64 (*.f64 x (cos.f64 y)))
(log.f64 (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))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 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))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))
✓	0.6b	(cbrt.f64 (sin.f64 y))
✓	0.6b	(cbrt.f64 z)
✓	0.7b	(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3)

Compiler

Compiled 47 to 15 computations (68.1% saved)

series9.0ms (0.1%)

Counts

4 → 24

Calls

18 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`add-sqr-sqrt`
1890×	`*-un-lft-identity`
1774×	`add-cube-cbrt`
1752×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	222	40
2	2528	40

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

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

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

834×	`+-commutative`
768×	`distribute-lft-in`
752×	`distribute-rgt-in`
748×	`*-commutative`
724×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1202
1	348	1202
2	1623	1202
3	5013	1202

Stop Event

1×	node limit

Counts

110 → 95

Calls

Call 1

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

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

eval261.0ms (2.7%)

Compiler: Compiled 16970 to 8424 computations (50.4% saved)

prune229.0ms (2.4%)

Pruning

31 alts after pruning (23 fresh and 8 done)

	Pruned	Kept	Total
New	916	10	926
Fresh	9	13	22
Picked	0	1	1
Done	3	7	10
Total	928	31	959

Error

Counts

959 → 31

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓	30.9b	(fma.f64 z y x)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	1.4b	(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) -3)
	44.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	25.2b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
	39.1b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 y) z))) 3))
	38.8b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
	24.6b	(/.f64 1 (/.f64 (/.f64 1 x) (cos.f64 y)))
	24.7b	(/.f64 1 (/.f64 1 (/.f64 (cos.f64 y) (/.f64 1 x))))
	24.7b	(/.f64 1 (/.f64 1 (/.f64 x (/.f64 1 (cos.f64 y)))))
	24.8b	(/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 3) x)))
	40.5b	(/.f64 1 (/.f64 1 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 y y))) x)))
✓	38.6b	(/.f64 1 (/.f64 1 x))
	39.0b	(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	41.4b	(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
	47.0b	(-.f64 (+.f64 1 x) 1)
✓	30.9b	(+.f64 (*.f64 y z) x)
✓	0.7b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) 3))
	0.5b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))))
	33.4b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	29.9b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	15.1b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	14.7b	(+.f64 x (*.f64 z (sin.f64 y)))
	24.6b	(*.f64 (/.f64 1 (/.f64 1 (cos.f64 y))) x)
	25.3b	(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
	38.7b	(*.f64 (sin.f64 y) z)
	24.5b	(*.f64 (cos.f64 y) x)
✓	54.4b	(*.f64 y z)
	38.6b	x

Compiler

Compiled 366 to 270 computations (26.2% saved)

regimes116.0ms (1.2%)

Counts

58 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
25.0ms	x
25.0ms	y
24.0ms	z

Results

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

Compiler

Compiled 883 to 341 computations (61.4% saved)

regimes47.0ms (0.5%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 191 to 106 computations (44.5% saved)

regimes118.0ms (1.2%)

Counts

19 → 5

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	z
41.0ms	y
25.0ms	x

Results

Error	Segments	Branch
8.5b	3	`x`
9.7b	5	`y`
6.1b	5	`z`

Compiler

Compiled 148 to 89 computations (39.9% saved)

bsearch125.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
33.0ms	2.292913845135727e-97	7.341210452769406e-96
21.0ms	-7.738753711114927e-83	-2.814950658450185e-83
39.0ms	-3.658940290207169e-42	-4.497998192368873e-45
32.0ms	-1.0029330786472109e+21	-32472312889541624000.0

Results

65.0ms	145×	body	1024	valid
40.0ms	241×	body	256	valid
14.0ms	46×	body	512	valid

Compiler

Compiled 504 to 364 computations (27.8% saved)

regimes121.0ms (1.3%)

Counts

12 → 6

Calls

Call 1

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

Calls

3 calls:

50.0ms	y
47.0ms	z
20.0ms	x

Results

Error	Segments	Branch
15.0b	3	`x`
10.5b	6	`y`
12.2b	7	`z`

Compiler

Compiled 90 to 55 computations (38.9% saved)

bsearch267.0ms (2.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
105.0ms	9.068094168334359e+232	1.0165063609658637e+249
25.0ms	1.6493249684827952e-19	1.946342954326571e-16
26.0ms	-3574.316893260284	-0.00035894678902074237
30.0ms	-6.35299723229554e+101	-1.3234320319109037e+101
81.0ms	-2.0684280352689661e+155	-4.128702403556097e+154

Results

183.0ms	256×	body	1024	valid
47.0ms	272×	body	256	valid
29.0ms	96×	body	512	valid

Compiler

Compiled 642 to 464 computations (27.7% saved)

regimes132.0ms (1.4%)

Counts

11 → 6

Calls

Call 1

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

Calls

3 calls:

77.0ms	z
34.0ms	y
18.0ms	x

Results

Error	Segments	Branch
15.0b	3	`x`
10.5b	6	`y`
12.2b	7	`z`

Compiler

Compiled 86 to 54 computations (37.2% saved)

bsearch261.0ms (2.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
101.0ms	9.068094168334359e+232	1.0165063609658637e+249
23.0ms	1.6493249684827952e-19	1.946342954326571e-16
62.0ms	-3574.316893260284	-0.00035894678902074237
30.0ms	-6.35299723229554e+101	-1.3234320319109037e+101
44.0ms	-2.0684280352689661e+155	-4.128702403556097e+154

Results

142.0ms	256×	body	1024	valid
82.0ms	272×	body	256	valid
28.0ms	96×	body	512	valid

Compiler

Compiled 659 to 481 computations (27% saved)

regimes47.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

15.0ms	z
15.0ms	y
15.0ms	x

Results

Error	Segments	Branch
25.5b	3	`x`
15.8b	3	`y`
25.7b	3	`z`

Compiler

Compiled 78 to 51 computations (34.6% saved)

bsearch48.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.6493249684827952e-19	1.946342954326571e-16
26.0ms	-0.00035894678902074237	-7.44592125840677e-13

Results

45.0ms

272×

body

256

valid

Compiler

Compiled 307 to 217 computations (29.3% saved)

regimes76.0ms (0.8%)

Counts

8 → 1

Calls

Call 1

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

62.0ms	x
6.0ms	z
5.0ms	y

Results

Error	Segments	Branch
30.9b	1	`x`
30.9b	1	`y`
30.9b	1	`z`

Compiler

Compiled 74 to 49 computations (33.8% saved)

regimes27.0ms (0.3%)

Accuracy

Total -25.4b remaining (-68.9%)

Threshold costs -25.4b (-68.9%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(*.f64 y z)

Outputs
(*.f64 y z)
x

Calls

3 calls:

12.0ms	x
8.0ms	z
7.0ms	y

Results

Error	Segments	Branch
36.9b	3	`x`
38.6b	1	`y`
36.9b	2	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	-1.8464410237362132e+233	-1.6841475725750533e+232

Results

14.0ms	30×	body	1024	valid
8.0ms	51×	body	256	valid
4.0ms	15×	body	512	valid

Compiler

Compiled 90 to 67 computations (25.6% saved)

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	451
1	84	447
2	87	437
3	93	433
4	97	433
5	101	433
6	102	433
7	103	433

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -33000000000000000000) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z -5523849527140279/25108406941546723055343157692830665664409421777856138051584) (.f64 (cos.f64 y) x) (if (<=.f64 z -4784610960462839/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 3126379886188527/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (.f64 (cos.f64 y) x) (+.f64 x (*.f64 z (sin.f64 y)))))))
(if (<=.f64 y -51999999999999997753288395178299626964965291162208778152477429745826142150428143724067934412999071781011899906167819518397948518445010959628620621603143680) (.f64 (cos.f64 y) x) (if (<=.f64 y -619999999999999998203779134696774763521598690023494006312001274267528876363689167337009427891871547392) (.f64 z (sin.f64 y)) (if (<=.f64 y -5764607523034235/2305843009213693952) (.f64 (cos.f64 y) x) (if (<=.f64 y 7788445287802241/40564819207303340847894502572032) (fma.f64 z y x) (if (<=.f64 y 1449999999999999928829995678675072511796700497667576815190680710913544224853762640924849528282727966750348791613239412652489875885107959460136450906192433811727342562048791821833419046303014488465958442744791264248367982293889230831616) (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
(if (<=.f64 y -72000000000000001469370723654269981474613967931160727768838000225382004382106438762399484744887782379983467137117849389909911024410422583728441277305323520) (.f64 (cos.f64 y) x) (if (<=.f64 y -149999999999999996557426989786800494267026407988622500919499396209799017827118486695489194172226732032) (.f64 z (sin.f64 y)) (if (<=.f64 y -3314649325744685/144115188075855872) (.f64 (cos.f64 y) x) (if (<=.f64 y 7788445287802241/40564819207303340847894502572032) (+.f64 (.f64 y z) x) (if (<=.f64 y 109999999999999988904178410643256412221719787099928930598803231748017658644802236364382065037651354564039412528557651208205261906814610723865080184128878756884372343448999820063170708625094442107797666662599462396779449363266768325312512) (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))))
(if (<=.f64 y -6456360425798343/18446744073709551616) (.f64 z (sin.f64 y)) (if (<=.f64 y 7788445287802241/40564819207303340847894502572032) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 z -18499999999999998631697238772516122980732997315661794353410970312139292040844835803413552341310588378836960282513165521505579713215758359447054879057340286101654721229533509237984668827011722313390460126699267241899112380588282085376) (*.f64 y z) x)
x

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(if (<=.f64 z -33000000000000000000) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z -5523849527140279/25108406941546723055343157692830665664409421777856138051584) (.f64 (cos.f64 y) x) (if (<=.f64 z -4784610960462839/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 3126379886188527/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (.f64 (cos.f64 y) x) (+.f64 x (*.f64 z (sin.f64 y)))))))
(if (<=.f64 z -33000000000000000000) (+.f64 x (.f64 (sin.f64 y) z)) (if (<=.f64 z -5523849527140279/25108406941546723055343157692830665664409421777856138051584) (.f64 x (cos.f64 y)) (if (or (<=.f64 z -4784610960462839/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (not (<=.f64 z 3126379886188527/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424))) (+.f64 x (.f64 (sin.f64 y) z)) (.f64 x (cos.f64 y)))))
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(if (<=.f64 y -72000000000000001469370723654269981474613967931160727768838000225382004382106438762399484744887782379983467137117849389909911024410422583728441277305323520) (.f64 x (cos.f64 y)) (if (<=.f64 y -149999999999999996557426989786800494267026407988622500919499396209799017827118486695489194172226732032) (.f64 (sin.f64 y) z) (if (<=.f64 y -3314649325744685/144115188075855872) (.f64 x (cos.f64 y)) (if (<=.f64 y 7788445287802241/40564819207303340847894502572032) (+.f64 x (.f64 y z)) (if (<=.f64 y 109999999999999988904178410643256412221719787099928930598803231748017658644802236364382065037651354564039412528557651208205261906814610723865080184128878756884372343448999820063170708625094442107797666662599462396779449363266768325312512) (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))))
(if (<=.f64 y -6456360425798343/18446744073709551616) (.f64 z (sin.f64 y)) (if (<=.f64 y 7788445287802241/40564819207303340847894502572032) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (or (<=.f64 y -6456360425798343/18446744073709551616) (not (<=.f64 y 7788445287802241/40564819207303340847894502572032))) (.f64 (sin.f64 y) z) (+.f64 x (.f64 y z)))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 z -18499999999999998631697238772516122980732997315661794353410970312139292040844835803413552341310588378836960282513165521505579713215758359447054879057340286101654721229533509237984668827011722313390460126699267241899112380588282085376) (*.f64 y z) x)
x

Compiler

Compiled 193 to 113 computations (41.5% saved)

soundness0.0ms (0%)

end63.0ms (0.7%)

Compiler: Compiled 169 to 67 computations (60.4% saved)