Details

analyze266.0ms (2.8%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.2s (22.3%)

Results

957.0ms	2069×	body	1024	valid
868.0ms	5169×	body	256	valid
312.0ms	1015×	body	512	valid
2.0ms	3×	body	2048	valid

Bogosity

preprocess9.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series52.0ms (0.5%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
46.0ms	y	@	0	(*.f64 x (sin.f64 y))
1.0ms	z	@	0	(*.f64 z (cos.f64 y))
1.0ms	x	@	0	(*.f64 x (sin.f64 y))
0.0ms	y	@	0	(*.f64 z (cos.f64 y))
0.0ms	z	@	inf	(*.f64 z (cos.f64 y))

rewrite104.0ms (1.1%)

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 y)))) (-.f64 1 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (cos.f64 y)))) (-.f64 1 (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (-.f64 (.f64 (.f64 x (sin.f64 y)) (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 3) (pow.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) 3))) (+.f64 (.f64 (.f64 x (sin.f64 y)) (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (-.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) (/.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 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simplify126.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

766×	`distribute-lft-neg-in`
744×	`associate-+r+`
736×	`distribute-rgt-neg-in`
682×	`+-commutative`
656×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	8367
1	985	7833
2	4675	7813

Stop Event

1×	node limit

Counts

213 → 223

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

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

Outputs

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

simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

85 → 89

Calls

Call 1

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

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

eval92.0ms (1%)

Compiler: Compiled 8899 to 2763 computations (69% saved)

prune89.0ms (0.9%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	349	24	373
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	349	26	375

Error

0.0b

Counts

375 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
	31.4b	(fma.f64 y x z)
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	30.3b	(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)
	29.2b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))
	46.0b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) (neg.f64 z)))))
	41.5b	(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))))))
▶	0.3b	(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	30.0b	(+.f64 (fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3)))) (*.f64 z (cos.f64 y)))
	25.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
▶	0.6b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
▶	31.4b	(+.f64 (*.f64 y x) z)
	0.8b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	12.8b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	0.2b	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) (.f64 z (cos.f64 y)))
	8.1b	(+.f64 (.f64 x (log.f64 (exp.f64 (sin.f64 y)))) (.f64 z (cos.f64 y)))
	4.4b	(+.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 3))) (.f64 z (cos.f64 y)))
	30.2b	(.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) 1/4) (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4))
▶	30.7b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2))
	1.9b	(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
	28.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
	36.4b	(*.f64 (sin.f64 y) x)
	26.0b	(*.f64 (cos.f64 y) z)
	29.2b	(.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (/.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))))
	38.2b	z

Compiler

Compiled 1023 to 580 computations (43.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (sin.f64 y))
✓	0.1b	(*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y))))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(log1p.f64 (expm1.f64 (sin.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 (sin.f64 y))
0.0ms	y	@	inf	(expm1.f64 (sin.f64 y))
0.0ms	y	@	-inf	(expm1.f64 (sin.f64 y))
0.0ms	y	@	0	(log1p.f64 (expm1.f64 (sin.f64 y)))
0.0ms	y	@	0	(*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y))))

rewrite85.0ms (0.9%)

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
(log1p.f64 (expm1.f64 (sin.f64 y)))
(*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))

Outputs

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

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

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

976×	`associate-/l*`
954×	`unswap-sqr`
868×	`fma-def`
756×	`associate-/r*`
586×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1116
1	338	1088
2	1458	1058
3	5013	1058

Stop Event

1×	node limit

Counts

96 → 87

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(+.f64 (exp.f64 (sin.f64 y)) -1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 (expm1.f64 (sin.f64 y)) 1)
(*.f64 1 (expm1.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (.f64 (exp.f64 (sin.f64 y)) 1))))
(pow.f64 (expm1.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) x)
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (fma.f64 y x (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (fma.f64 y x (fma.f64 -1/5040 (.f64 (pow.f64 y 7) x) (.f64 -1/6 (.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 x (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 -1/6 (pow.f64 y 3)))) (.f64 x (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (.f64 1/2 (.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y))))
(+.f64 y (fma.f64 1/2 (.f64 y y) (.f64 -1/8 (pow.f64 y 4))))
(fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) y))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 5) -1/15))))
(+.f64 y (fma.f64 y (.f64 y 1/2) (fma.f64 (pow.f64 y 5) -1/15 (.f64 -1/8 (pow.f64 y 4)))))
(+.f64 y (fma.f64 y (.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) (.f64 (pow.f64 y 5) -1/15))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) x)) 1))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(+.f64 (exp.f64 (sin.f64 y)) -1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(*.f64 (expm1.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(*.f64 1 (expm1.f64 (sin.f64 y)))
(expm1.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))
(expm1.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))
(expm1.f64 (sin.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (.f64 (exp.f64 (sin.f64 y)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) -1) (+.f64 (exp.f64 (+.f64 (sin.f64 y) (sin.f64 y))) (+.f64 (exp.f64 (sin.f64 y)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 y)) 3)) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (exp.f64 (*.f64 (sin.f64 y) 2)))))
(/.f64 (expm1.f64 (*.f64 3 (sin.f64 y))) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 y)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (sin.f64 y))) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (pow.f64 (exp.f64 2) (sin.f64 y)))))
(pow.f64 (expm1.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)
(expm1.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)
(expm1.f64 (sin.f64 y))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)
(expm1.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))
(expm1.f64 (sin.f64 y))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))
(expm1.f64 (sin.f64 y))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1))
(expm1.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

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 x) z)

Outputs

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓	0.3b	(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series8.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
0.0ms	z	@	inf	(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
0.0ms	z	@	0	(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
0.0ms	y	@	-inf	(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
0.0ms	y	@	0	(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))

rewrite121.0ms (1.3%)

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

Outputs

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

simplify181.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1378×	`distribute-rgt-in`
1374×	`distribute-lft-in`
554×	`associate-r`
530×	`associate-/l*`
502×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	413	12983
1	1144	12143
2	5039	12143

Stop Event

1×	node limit

Counts

309 → 269

Calls

Call 1

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

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
✓	7.4b	(cbrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series11.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
2.0ms	y	@	inf	(cbrt.f64 (*.f64 x (sin.f64 y)))
1.0ms	y	@	-inf	(cbrt.f64 (*.f64 x (sin.f64 y)))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

73 → 63

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2)
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2))
✓	0.5b	(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))

Compiler

Compiled 66 to 16 computations (75.8% saved)

series154.0ms (1.6%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
57.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2)
42.0ms	y	@	inf	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2)
34.0ms	z	@	-inf	(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2)
2.0ms	z	@	0	(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2)

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`unswap-sqr`
758×	`swap-sqr`
514×	`sqr-pow`
488×	`pow-sqr`
354×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	301	77
2	3528	77

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

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

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

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

Outputs

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(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 3/4) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/8)) (*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 3/4) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 3/4)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/8) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 3/4)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/8) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) 3/8) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))))))

simplify178.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-r`
922×	`associate-l`
796×	`associate-/r*`
770×	`*-commutative`
720×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	503	4294980381
1	1540	11709
2	5787	11709

Stop Event

1×	node limit

Counts

169 → 224

Calls

Call 1

Inputs
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (*.f64 (cos.f64 y) z))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (*.f64 (cos.f64 y) z)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 (cos.f64 y) z))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (cos.f64 y) 3)))) (pow.f64 z 3)))))))
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x)))))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/6 x) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 x 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2)))) x))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x))))))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (sin.f64 y) x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 x 2)))) (pow.f64 (*.f64 (cos.f64 y) z) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (sin.f64 y) x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3) (.f64 (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))))) (pow.f64 x 3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 x 2)))) (pow.f64 (.f64 (cos.f64 y) z) 1/3))))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 (pow.f64 1 1/6) (.f64 (.f64 z (cos.f64 y)) (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/18)))))
(+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/6) (.f64 (.f64 z (cos.f64 y)) (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/18)))) (.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (cos.f64 y) 2)))))) (pow.f64 z 2)) (sqrt.f64 (*.f64 (sin.f64 y) x)))))
(+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/4 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))) 1/3)))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (cos.f64 y) 3)))) (.f64 (sin.f64 y) x))) (.f64 2/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))) 1/3) (pow.f64 (cos.f64 y) 3)))))) (+.f64 (.f64 3/8 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))) 1/9) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y)))) (.f64 1/48 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))) 1/3) (pow.f64 (cos.f64 y) 3))))) (pow.f64 z 3)) (sqrt.f64 (.f64 (sin.f64 y) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/6) (.f64 (.f64 z (cos.f64 y)) (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/18)))) (.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 3/4 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 10) (pow.f64 x 10))) 1/9) (pow.f64 (cos.f64 y) 2)))))) (pow.f64 z 2)) (sqrt.f64 (.f64 (sin.f64 y) x))))))
(sqrt.f64 z)
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(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) 1)
(.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6))
(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 1)
(.f64 1 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))
(.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4))
(.f64 (pow.f64 1 3/2) (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 3/2))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6)) (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4)) (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/8) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4))) (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/8) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4))))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4))) (.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/8)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/8)))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/8)) (.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/8)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 3/4)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/8) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/8) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 3/4)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2) 3/8) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) 3/8))
(.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/2) 1/6))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) 1))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(fabs.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))

Outputs
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (*.f64 (cos.f64 y) z))))
(+.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) 1/18)) (*.f64 (cos.f64 y) z))))
(fma.f64 (.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)) 1/18)) (.f64 (cos.f64 y) z) (cbrt.f64 (.f64 (sin.f64 y) x)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (*.f64 (cos.f64 y) z)))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (+.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) 1/18)) (*.f64 (cos.f64 y) z)))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/18)) (pow.f64 (.f64 (cos.f64 y) z) 2)) (fma.f64 (.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)) 1/18)) (.f64 (cos.f64 y) z) (cbrt.f64 (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 (cos.f64 y) z))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (cos.f64 y) 3)))) (pow.f64 z 3)))))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) (+.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) 1/18)) (.f64 (cos.f64 y) z)) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))))) (.f64 (+.f64 (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))) (pow.f64 (cos.f64 y) 3))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)))) (pow.f64 (cos.f64 y) 3)) 1/27)) (pow.f64 z 3))))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)) 1/18)) (.f64 (cos.f64 y) z)) (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2))) (pow.f64 (cos.f64 y) 3)) -5/27) (pow.f64 z 3)) (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 2)))))) (fma.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/18))) (pow.f64 (.f64 (cos.f64 y) z) 2) (cbrt.f64 (.f64 (sin.f64 y) x))))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x))))
(+.f64 (cbrt.f64 z) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (.f64 y x))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (*.f64 y x)) (cbrt.f64 z))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x)))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 y y)) (+.f64 (.f64 z -1/2) (.f64 -1/3 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)))))) (+.f64 (cbrt.f64 z) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (*.f64 y x)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 y y) (fma.f64 z -1/2 (.f64 (.f64 -1/3 (.f64 x x)) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (*.f64 y x)) (cbrt.f64 z)))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/6 x) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 x 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2)))) x))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (-.f64 (.f64 x -1/6) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (pow.f64 x 3)) (.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18))) (.f64 x (+.f64 (.f64 z -1/2) (.f64 -1/3 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18))))))))) (pow.f64 y 3))) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 y y)) (+.f64 (.f64 z -1/2) (.f64 -1/3 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)))))) (+.f64 (cbrt.f64 z) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (.f64 y x))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (-.f64 (.f64 x -1/6) (fma.f64 2/3 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18)) x) (fma.f64 z -1/2 (.f64 (.f64 -1/3 (.f64 x x)) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18))))) (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (pow.f64 x 3) 1/27)))) (pow.f64 y 3))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 y y) (fma.f64 z -1/2 (.f64 (.f64 -1/3 (.f64 x x)) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (*.f64 y x)) (cbrt.f64 z))))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (cos.f64 y) z))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) 1/18)) (.f64 (sin.f64 y) x)) (cbrt.f64 (.f64 (cos.f64 y) z)))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 (cos.f64 y) z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 (cos.f64 y) z) 2)) 1/18)))) (cbrt.f64 (.f64 (cos.f64 y) z)))
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(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 3/8) (.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/4)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 3/8) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/4)))))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) 1/4) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 3/4))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4))) (.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/4)) (.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/6) 3/4) (.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/4)) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/6) 3/4))))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) 1/4) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/6) 3/2))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/8)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/8)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 3/8) (.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/4)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 3/8) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/4)))))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) 1/4) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 3/4))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/8)) (.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/8)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 3/8) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/6) 3/4)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 3/8) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/6) 3/4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 3/4) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/6) 3/2))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/4)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 3/4)))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/4)) (.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/6) 3/4) (.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/4)) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/6) 3/4))))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) 1/4) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/6) 3/2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/8) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1/6) 3/4)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/8) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/6) 3/4)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 3/8) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/6) 3/4)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 3/8) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/6) 3/4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) 3/4) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/6) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2) 3/8) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) 3/8))
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2) 3/4)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2) 3/4)
(.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/2) 1/6))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 3/2) 1/6))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/2))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))))
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(fabs.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 3/2) 1/6))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))

eval767.0ms (8%)

Compiler: Compiled 38050 to 17513 computations (54% saved)

prune413.0ms (4.3%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	991	19	1010
Fresh	10	9	19
Picked	1	0	1
Done	3	3	6
Total	1005	31	1036

Error

Counts

1036 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	31.4b	(fma.f64 y x z)
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	30.5b	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4) 4)
	30.3b	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) -1/2) -2)
	30.3b	(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2) 3/2)
	30.3b	(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)
	29.1b	(/.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) -2)))
	36.6b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	26.1b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	34.3b	(/.f64 1 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))))))
	38.3b	(/.f64 1 (/.f64 1 z))
	39.7b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
	25.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) 2) (.f64 z (cos.f64 y)))
	13.2b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	28.2b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
▶	31.4b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
✓	31.4b	(+.f64 (*.f64 y x) z)
	8.1b	(+.f64 (.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) (.f64 z (cos.f64 y)))
▶	0.8b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	12.8b	(+.f64 (*.f64 x (sin.f64 y)) z)
	8.1b	(+.f64 (.f64 x (log.f64 (exp.f64 (sin.f64 y)))) (.f64 z (cos.f64 y)))
▶	4.4b	(+.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 3))) (.f64 z (cos.f64 y)))
	30.8b	(.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3/2))
	48.6b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/2) (sqrt.f64 (*.f64 (sin.f64 y) x)))
	45.1b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 3/2) (sqrt.f64 (*.f64 (cos.f64 y) z)))
	34.2b	(.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
	36.4b	(*.f64 (sin.f64 y) x)
	26.0b	(*.f64 (cos.f64 y) z)
▶	54.1b	(*.f64 y x)
	38.2b	z

Compiler

Compiled 873 to 565 computations (35.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series12.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1176×	`fma-def`
908×	`*-commutative`
784×	`distribute-lft-in`
740×	`distribute-rgt-in`
528×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	1795
1	539	1709
2	1902	1635
3	5710	1617

Stop Event

1×	node limit

Counts

81 → 92

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (.f64 (pow.f64 1 1/3) z))
(fma.f64 (.f64 z -1/2) (.f64 y y) z)
(fma.f64 z (.f64 (.f64 y y) -1/2) z)
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))
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(cbrt.f64 (*.f64 z (cos.f64 y)))

localize3.0ms (0%)

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

localize34.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	187	13
2	2421	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-r`
1134×	`associate-/r*`
822×	`associate-+r+`
614×	`associate-+l+`
600×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1539
1	268	1481
2	956	1475
3	4256	1475

Stop Event

1×	node limit

Counts

73 → 57

Calls

Call 1

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

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

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 3)))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.4b	(pow.f64 (sin.f64 y) 3)
✓	19.5b	(cbrt.f64 (pow.f64 (sin.f64 y) 3))

Compiler

Compiled 43 to 21 computations (51.2% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite65.0ms (0.7%)

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

Outputs

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

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

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1270×	`unswap-sqr`
632×	`fma-def`
576×	`+-commutative`
548×	`associate-/l*`
522×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1143
1	356	1119
2	1355	1095
3	5287	1095

Stop Event

1×	node limit

Counts

97 → 93

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3))
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 1)
(*.f64 (pow.f64 (sin.f64 y) 3) 1)
(*.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))
(*.f64 1 (pow.f64 (sin.f64 y) 3))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sin.f64 y) 3/2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1) (sin.f64 y))
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3) (pow.f64 (sqrt.f64 (sin.f64 y)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3) (sin.f64 y))
(sqrt.f64 (pow.f64 (sin.f64 y) 6))
(log.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))
(exp.f64 (*.f64 3 (log.f64 (sin.f64 y))))
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))
(fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (*.f64 (pow.f64 y 7) 13/120)))
(fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120))))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120))))
(+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120)))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 (pow.f64 y 3) x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) x)
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (fma.f64 y x (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (fma.f64 y x (fma.f64 -1/5040 (.f64 (pow.f64 y 7) x) (.f64 -1/6 (.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 x (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 -1/6 (pow.f64 y 3)))) (.f64 x (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)) (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)))
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 y))) 1/3))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 1)
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) 1)
(pow.f64 (sin.f64 y) 3)
(*.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 3)
(*.f64 1 (pow.f64 (sin.f64 y) 3))
(pow.f64 (sin.f64 y) 3)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sin.f64 y) 3/2))
(pow.f64 (sin.f64 y) 3)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1) (sin.f64 y))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 3)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3) (pow.f64 (sqrt.f64 (sin.f64 y)) 3))
(pow.f64 (sin.f64 y) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3) (sin.f64 y))
(pow.f64 (sin.f64 y) 3)
(sqrt.f64 (pow.f64 (sin.f64 y) 6))
(pow.f64 (sin.f64 y) 3)
(log.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 3))))
(pow.f64 (sin.f64 y) 3)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3))
(pow.f64 (sin.f64 y) 3)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) 3)
(exp.f64 (*.f64 3 (log.f64 (sin.f64 y))))
(pow.f64 (sin.f64 y) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 y))) 1))
(pow.f64 (sin.f64 y) 3)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) x)) 1))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 10 computations (77.8% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

15 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`add-sqr-sqrt`
1630×	`*-un-lft-identity`
1504×	`add-cube-cbrt`
1478×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	175	35
2	2090	35

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))

Outputs

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

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

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

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1510×	`fma-def`
1248×	`associate-+r+`
1152×	`associate-+l+`
814×	`*-commutative`
744×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1287
1	282	1269
2	948	1239
3	3606	1209

Stop Event

1×	node limit

Counts

93 → 71

Calls

Call 1

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

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

eval139.0ms (1.4%)

Compiler: Compiled 9138 to 4002 computations (56.2% saved)

prune116.0ms (1.2%)

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	495	12	507
Fresh	9	14	23
Picked	1	0	1
Done	2	5	7
Total	507	31	538

Error

Counts

538 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	31.4b	(fma.f64 y x z)
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	30.5b	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4) 4)
	30.3b	(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)
	29.1b	(/.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) -2)))
▶	36.6b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	26.1b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
▶	38.3b	(/.f64 1 (/.f64 1 z))
	39.7b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
	32.8b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	13.2b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	28.2b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	31.4b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) (*.f64 z (cos.f64 y)))
	39.4b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
	31.7b	(+.f64 (.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 3/2))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
▶	24.9b	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	31.4b	(+.f64 (*.f64 y x) z)
	8.1b	(+.f64 (.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) (.f64 z (cos.f64 y)))
	0.8b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	0.8b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
	33.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
▶	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
▶	15.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	12.8b	(+.f64 (*.f64 x (sin.f64 y)) z)
	20.7b	(+.f64 (*.f64 x (log.f64 (exp.f64 (sin.f64 y)))) z)
	17.1b	(+.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 3))) z)
	36.4b	(*.f64 (sin.f64 y) x)
	26.0b	(*.f64 (cos.f64 y) z)
✓	54.1b	(*.f64 y x)
	38.2b	z

Compiler

Compiled 758 to 515 computations (32.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
✓	0.2b	(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
✓	0.2b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
✓	0.3b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 57 to 22 computations (61.4% saved)

series17.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	y	@	-inf	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	y	@	inf	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	z	@	0	(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
2.0ms	z	@	inf	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`add-sqr-sqrt`
1880×	`*-un-lft-identity`
1742×	`add-cube-cbrt`
1714×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	218	56
2	2494	56

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-/r*`
704×	`fma-def`
604×	`associate-/l*`
602×	`+-commutative`
588×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	2269
1	407	2223
2	1460	2193
3	4636	2187

Stop Event

1×	node limit

Counts

139 → 138

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 1)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) z) 1/3)
(sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) z))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.3b	(/.f64 (/.f64 1 (sin.f64 y)) x)
✓	0.5b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))

Compiler

Compiled 26 to 15 computations (42.3% saved)

series31.0ms (0.3%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(/.f64 (/.f64 1 (sin.f64 y)) x)
0.0ms	y	@	inf	(/.f64 (/.f64 1 (sin.f64 y)) x)
0.0ms	y	@	-inf	(/.f64 (/.f64 1 (sin.f64 y)) x)
0.0ms	y	@	0	(/.f64 (/.f64 1 (sin.f64 y)) x)
0.0ms	y	@	inf	(/.f64 1 (sin.f64 y))

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`associate-*r/`
1202×	`associate-/r*`
928×	`*-commutative`
872×	`associate-*l/`
726×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	208	39
2	2697	39

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

Outputs

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

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1418×	`unswap-sqr`
570×	`distribute-rgt-in`
560×	`distribute-lft-in`
544×	`distribute-lft-neg-out`
506×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	364	4292
1	917	4236
2	3151	4230

Stop Event

1×	node limit

Counts

218 → 228

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	0.1b	(*.f64 z (cos.f64 y))
	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
	0.7b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 39 to 13 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 27

Calls

9 calls:

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

rewrite124.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`unswap-sqr`
784×	`swap-sqr`
572×	`distribute-rgt-in`
538×	`distribute-lft-in`
410×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	274	19
2	3253	19

Stop Event

1×	node limit

Counts

1 → 90

Calls

Call 1

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

Outputs

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

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1394×	`unswap-sqr`
754×	`associate-/r/`
658×	`associate-/l/`
486×	`associate-r`
452×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	289	6325
1	876	6033
2	3856	6033

Stop Event

1×	node limit

Counts

117 → 150

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 10 computations (77.8% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

15 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`add-sqr-sqrt`
1630×	`*-un-lft-identity`
1504×	`add-cube-cbrt`
1478×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	175	35
2	2090	35

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))

Outputs

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

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

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

simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1290×	`associate-+r+`
1204×	`associate-+l+`
888×	`*-commutative`
756×	`unswap-sqr`
590×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1379
1	325	1347
2	1094	1313
3	3928	1281

Stop Event

1×	node limit

Counts

93 → 99

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
z
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z)))))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) 1)
(pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3)
(sqrt.f64 (.f64 (cos.f64 y) (.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) 1)
(*.f64 1 (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))
(pow.f64 (cos.f64 y) 1/2)
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))

Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) z (.f64 z (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
z
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/4 (.f64 z (.f64 y y)) z)
(fma.f64 (.f64 y (.f64 y z)) -1/4 z)
(.f64 z (fma.f64 y (.f64 y -1/4) 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/4 (.f64 z (.f64 y y)) z) (.f64 (.f64 z (pow.f64 y 4)) -1/96))
(fma.f64 (.f64 y (.f64 y z)) -1/4 (*.f64 (fma.f64 (pow.f64 y 4) -1/96 1) z))
(.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 1)))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -19/5760 (.f64 z (pow.f64 y 6)) (+.f64 (fma.f64 -1/4 (.f64 z (.f64 y y)) z) (.f64 (*.f64 z (pow.f64 y 4)) -1/96)))
(fma.f64 (.f64 z (pow.f64 y 6)) -19/5760 (fma.f64 (.f64 y (.f64 y z)) -1/4 (.f64 (fma.f64 (pow.f64 y 4) -1/96 1) z)))
(+.f64 z (.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (*.f64 (pow.f64 y 6) -19/5760)))))
(.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (fma.f64 (pow.f64 y 6) -19/5760 1))))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) -1/4 1)
(fma.f64 y (*.f64 y -1/4) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (.f64 (pow.f64 y 4) -1/96))
(fma.f64 (*.f64 y y) -1/4 (fma.f64 (pow.f64 y 4) -1/96 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 1))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (.f64 (pow.f64 y 6) -19/5760)))
(+.f64 (fma.f64 (.f64 y y) -1/4 1) (fma.f64 (pow.f64 y 4) -1/96 (.f64 (pow.f64 y 6) -19/5760)))
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (fma.f64 (pow.f64 y 6) -19/5760 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) 1)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (.f64 (cos.f64 y) (.f64 z z)))
(fabs.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (cos.f64 y))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 (cos.f64 y)))) 1))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1)
(sqrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) 1)
(sqrt.f64 (cos.f64 y))
(*.f64 1 (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(sqrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (fabs.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))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (fabs.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))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 3/2)
(pow.f64 (cos.f64 y) 1/2)
(sqrt.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(sqrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(sqrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(sqrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y)))))
(sqrt.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2))
(sqrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1))
(sqrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))

eval290.0ms (3%)

Compiler: Compiled 18503 to 8024 computations (56.6% saved)

prune295.0ms (3.1%)

Pruning

37 alts after pruning (27 fresh and 10 done)

	Pruned	Kept	Total
New	909	15	924
Fresh	9	12	21
Picked	0	1	1
Done	0	9	9
Total	918	37	955

Error

Counts

955 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	31.4b	(fma.f64 y x z)
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	30.5b	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4) 4)
	30.3b	(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)
	48.4b	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
	36.9b	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
	36.9b	(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 3) x))
✓	36.6b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
	26.1b	(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
	54.1b	(/.f64 1 (/.f64 (/.f64 1 y) x))
	53.9b	(/.f64 1 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) x))
	52.6b	(/.f64 1 (/.f64 (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) x))
	54.1b	(/.f64 1 (/.f64 1 (*.f64 y x)))
✓	38.3b	(/.f64 1 (/.f64 1 z))
	39.7b	(/.f64 1 (-.f64 (/.f64 1 z) (/.f64 y (/.f64 z (/.f64 x z)))))
	53.9b	(/.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (.f64 1/6 (/.f64 y x))))
	36.6b	(/.f64 1 (neg.f64 (/.f64 (/.f64 -1 x) (sin.f64 y))))
	43.9b	(-.f64 (+.f64 1 z) 1)
	31.4b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)) (*.f64 z (cos.f64 y)))
✓	24.9b	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	24.5b	(+.f64 (.f64 y x) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
	24.9b	(+.f64 (.f64 y x) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	24.9b	(+.f64 (.f64 y x) (.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
✓	31.4b	(+.f64 (*.f64 y x) z)
	8.1b	(+.f64 (.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) (.f64 z (cos.f64 y)))
	33.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	15.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))
✓	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
✓	15.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	12.8b	(+.f64 (*.f64 x (sin.f64 y)) z)
	17.1b	(+.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 3))) z)
	36.9b	(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
	36.4b	(*.f64 (sin.f64 y) x)
	26.0b	(*.f64 (cos.f64 y) z)
✓	54.1b	(*.f64 y x)
	38.2b	z

Compiler

Compiled 468 to 338 computations (27.8% saved)

regimes193.0ms (2%)

Counts

72 → 1

Calls

Call 1

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

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

Calls

4 calls:

59.0ms	x
51.0ms	z
32.0ms	y
31.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 1065 to 384 computations (63.9% saved)

regimes59.0ms (0.6%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	x
15.0ms	y
12.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
11.0ms	z

Results

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

Compiler

Compiled 184 to 104 computations (43.5% saved)

regimes110.0ms (1.1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	y
37.0ms	x
28.0ms	z

Results

Error	Segments	Branch
6.7b	3	`x`
10.4b	4	`y`
7.6b	3	`z`

Compiler

Compiled 128 to 78 computations (39.1% saved)

bsearch72.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	923213.023684748	7162113282.63531
38.0ms	-6.194719259345254e-124	-3.672908904491806e-125

Results

35.0ms	53×	body	1024	valid
23.0ms	148×	body	256	valid
11.0ms	39×	body	512	valid

Compiler

Compiled 288 to 208 computations (27.8% saved)

regimes115.0ms (1.2%)

Counts

13 → 6

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	z
39.0ms	y
28.0ms	x

Results

Error	Segments	Branch
14.7b	3	`x`
11.6b	6	`y`
13.5b	5	`z`

Compiler

Compiled 97 to 60 computations (38.1% saved)

bsearch351.0ms (3.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
92.0ms	5.708275491311085e+272	4.603693874012982e+276
84.0ms	6.653546015658034e+180	2.557968825467731e+183
25.0ms	1.4251699221628055e-11	0.00013504822566335706
22.0ms	-1.6934187675467675e-7	-1.6721771121546287e-9
128.0ms	-7.292031062531348e+220	-9.402449759228385e+199

Results

263.0ms	432×	body	1024	valid
44.0ms	256×	body	256	valid

Compiler

Compiled 706 to 513 computations (27.3% saved)

regimes123.0ms (1.3%)

Counts

12 → 6

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	y
44.0ms	z
25.0ms	x

Results

Error	Segments	Branch
14.7b	3	`x`
11.6b	6	`y`
13.5b	5	`z`

Compiler

Compiled 93 to 59 computations (36.6% saved)

bsearch282.0ms (2.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
82.0ms	5.708275491311085e+272	4.603693874012982e+276
57.0ms	6.653546015658034e+180	2.557968825467731e+183
26.0ms	1.4251699221628055e-11	0.00013504822566335706
20.0ms	-1.6934187675467675e-7	-1.6721771121546287e-9
96.0ms	-7.292031062531348e+220	-9.402449759228385e+199

Results

228.0ms	432×	body	1024	valid
43.0ms	256×	body	256	valid

Compiler

Compiled 722 to 529 computations (26.7% saved)

regimes99.0ms (1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	y
18.0ms	z
18.0ms	x

Results

Error	Segments	Branch
21.0b	3	`x`
18.0b	3	`y`
21.7b	3	`z`

Compiler

Compiled 89 to 57 computations (36% saved)

bsearch49.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	12448.239393019836	216009238.26228437
26.0ms	-3.2193670597179387	-1.6934187675467675e-7

Results

46.0ms

272×

body

256

valid

Compiler

Compiled 307 to 217 computations (29.3% saved)

regimes22.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	z
6.0ms	y

Results

Error	Segments	Branch
31.4b	1	`x`
31.4b	1	`y`
31.4b	1	`z`

Compiler

Compiled 85 to 55 computations (35.3% saved)

regimes23.0ms (0.2%)

Accuracy

Total -27.5b remaining (-78.7%)

Threshold costs -27.5b (-78.7%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

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

Calls

3 calls:

11.0ms	z
9.0ms	x
3.0ms	y

Results

Error	Segments	Branch
34.9b	3	`x`
38.2b	1	`y`
36.2b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch83.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	2.8932938867579123e+276	1.4689424668209756e+278
33.0ms	-3.4372689105883004e+116	-1.9947402416147893e+113

Results

43.0ms	55×	body	1024	valid
27.0ms	148×	body	256	valid
11.0ms	37×	body	512	valid

Compiler

Compiled 198 to 148 computations (25.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	413
1	94	413

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -3632100325952063/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 9000000) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -91999999999999995847178181818182038524555394948485829411467508494158388591896955714848596804247918369377308686183683647665526287651133367314422951988020935455639763484732703802326230426773452919196190832229411201220608) (.f64 (cos.f64 y) z) (if (<=.f64 y -1558380939346983/9444732965739290427392) (.f64 (sin.f64 y) x) (if (<=.f64 y 1936908127739503/18446744073709551616) (fma.f64 y x z) (if (<=.f64 y 8199999999999999983700322850866445325483096164182973780790278403970680700903096665238896598716446509461918140355911356547908894532480743982160491622651203813245157847474783247138816) (.f64 (sin.f64 y) x) (if (<=.f64 y 3800000000000000008745383116627531184569452490097279710482595661563432894446576107360189222152439251551762706851914742006974007445844326327991850462384049912639208864087758054336734818610430791811970425010397174064188368239227664579627395996365349501765665498738329607208960) (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))
(if (<=.f64 y -1249999999999999977328837288513685247865909277122973215222084349337392263317428117362325082462887103186693077065337044600628545555205355291164218318774643031732599207623115102869663910716559482696618754441216) (.f64 (cos.f64 y) z) (if (<=.f64 y -1558380939346983/9444732965739290427392) (.f64 (sin.f64 y) x) (if (<=.f64 y 1152921504606847/9223372036854775808) (+.f64 (.f64 y x) z) (if (<=.f64 y 33499999999999996854660497457193725894474472542693744020974579663347143719841686275941977483821139513935495953197244845174482869344259941660576504101395455716908497580722068587020288) (.f64 (sin.f64 y) x) (if (<=.f64 y 359999999999999979383880856686361329012123370078774479039834501562922277232677960935726338600181442056385609209563254431569972853167627374847491736354523344233293138431422718533161217402384776213055418938685005046610373599484129978711218534754425726655214368919028882093375488) (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))))
(if (<=.f64 y -1498797955988901/1152921504606846976) (.f64 (cos.f64 y) z) (if (<=.f64 y 12500) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 x -340000000000000022788207282282822023231206291894131810171077444492182977002181790389719026166123517998015551679496192) (.f64 y x) (if (<=.f64 x 23999999999999999281608887635817200962661278982444508819892269068008503521808950026408185357097388419814340312851680129159113125262984755937508536432679975485951678532165280660028805958715506825314728647025711992176950333655830675447672035160229805147848605546780955664713777152) z (.f64 y x)))
z

Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (<=.f64 x -3632100325952063/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 9000000) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (or (<=.f64 x -3632100325952063/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (not (<=.f64 x 9000000))) (+.f64 z (.f64 x (sin.f64 y))) (.f64 z (cos.f64 y)))
(if (<=.f64 y -91999999999999995847178181818182038524555394948485829411467508494158388591896955714848596804247918369377308686183683647665526287651133367314422951988020935455639763484732703802326230426773452919196190832229411201220608) (.f64 (cos.f64 y) z) (if (<=.f64 y -1558380939346983/9444732965739290427392) (.f64 (sin.f64 y) x) (if (<=.f64 y 1936908127739503/18446744073709551616) (fma.f64 y x z) (if (<=.f64 y 8199999999999999983700322850866445325483096164182973780790278403970680700903096665238896598716446509461918140355911356547908894532480743982160491622651203813245157847474783247138816) (.f64 (sin.f64 y) x) (if (<=.f64 y 3800000000000000008745383116627531184569452490097279710482595661563432894446576107360189222152439251551762706851914742006974007445844326327991850462384049912639208864087758054336734818610430791811970425010397174064188368239227664579627395996365349501765665498738329607208960) (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))
(if (<=.f64 y -91999999999999995847178181818182038524555394948485829411467508494158388591896955714848596804247918369377308686183683647665526287651133367314422951988020935455639763484732703802326230426773452919196190832229411201220608) (.f64 z (cos.f64 y)) (if (<=.f64 y -1558380939346983/9444732965739290427392) (.f64 x (sin.f64 y)) (if (<=.f64 y 1936908127739503/18446744073709551616) (fma.f64 y x z) (if (or (<=.f64 y 8199999999999999983700322850866445325483096164182973780790278403970680700903096665238896598716446509461918140355911356547908894532480743982160491622651203813245157847474783247138816) (not (<=.f64 y 3800000000000000008745383116627531184569452490097279710482595661563432894446576107360189222152439251551762706851914742006974007445844326327991850462384049912639208864087758054336734818610430791811970425010397174064188368239227664579627395996365349501765665498738329607208960))) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
(if (<=.f64 y -1249999999999999977328837288513685247865909277122973215222084349337392263317428117362325082462887103186693077065337044600628545555205355291164218318774643031732599207623115102869663910716559482696618754441216) (.f64 (cos.f64 y) z) (if (<=.f64 y -1558380939346983/9444732965739290427392) (.f64 (sin.f64 y) x) (if (<=.f64 y 1152921504606847/9223372036854775808) (+.f64 (.f64 y x) z) (if (<=.f64 y 33499999999999996854660497457193725894474472542693744020974579663347143719841686275941977483821139513935495953197244845174482869344259941660576504101395455716908497580722068587020288) (.f64 (sin.f64 y) x) (if (<=.f64 y 359999999999999979383880856686361329012123370078774479039834501562922277232677960935726338600181442056385609209563254431569972853167627374847491736354523344233293138431422718533161217402384776213055418938685005046610373599484129978711218534754425726655214368919028882093375488) (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))))
(if (<=.f64 y -1249999999999999977328837288513685247865909277122973215222084349337392263317428117362325082462887103186693077065337044600628545555205355291164218318774643031732599207623115102869663910716559482696618754441216) (.f64 z (cos.f64 y)) (if (<=.f64 y -1558380939346983/9444732965739290427392) (.f64 x (sin.f64 y)) (if (<=.f64 y 1152921504606847/9223372036854775808) (+.f64 z (.f64 x y)) (if (or (<=.f64 y 33499999999999996854660497457193725894474472542693744020974579663347143719841686275941977483821139513935495953197244845174482869344259941660576504101395455716908497580722068587020288) (not (<=.f64 y 359999999999999979383880856686361329012123370078774479039834501562922277232677960935726338600181442056385609209563254431569972853167627374847491736354523344233293138431422718533161217402384776213055418938685005046610373599484129978711218534754425726655214368919028882093375488))) (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(if (<=.f64 y -1498797955988901/1152921504606846976) (.f64 (cos.f64 y) z) (if (<=.f64 y 12500) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -1498797955988901/1152921504606846976) (not (<=.f64 y 12500))) (.f64 z (cos.f64 y)) (+.f64 z (.f64 x y)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 x -340000000000000022788207282282822023231206291894131810171077444492182977002181790389719026166123517998015551679496192) (.f64 y x) (if (<=.f64 x 23999999999999999281608887635817200962661278982444508819892269068008503521808950026408185357097388419814340312851680129159113125262984755937508536432679975485951678532165280660028805958715506825314728647025711992176950333655830675447672035160229805147848605546780955664713777152) z (.f64 y x)))
(if (<=.f64 x -340000000000000022788207282282822023231206291894131810171077444492182977002181790389719026166123517998015551679496192) (.f64 x y) (if (<=.f64 x 23999999999999999281608887635817200962661278982444508819892269068008503521808950026408185357097388419814340312851680129159113125262984755937508536432679975485951678532165280660028805958715506825314728647025711992176950333655830675447672035160229805147848605546780955664713777152) z (.f64 x y)))
z

Compiler

Compiled 185 to 111 computations (40% saved)

soundness15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 20 to 9 computations (55% saved)

end65.0ms (0.7%)

Compiler: Compiled 161 to 65 computations (59.6% saved)