Details

analyze229.0ms (3%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.2s (29.7%)

Results

989.0ms	2062×	body	1024	valid
912.0ms	5174×	body	256	valid
325.0ms	1017×	body	512	valid
2.0ms	3×	body	2048	valid

Bogosity

preprocess15.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

16×	`fma-def_binary64`
8×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	38	48
2	50	48
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)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	16	12

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 z (cos.f64 y))
✓	0.1b	(*.f64 x (sin.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series14.0ms (0.2%)

Counts

4 → 80

Calls

24 calls:

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

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`log-prod_binary64`
382×	`prod-exp_binary64`
361×	`exp-prod_binary64`
332×	`pow-prod-down_binary64`
325×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	187	27
2	2497	27

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

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

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

511×	`cancel-sign-sub-inv_binary64`
382×	`difference-of-squares_binary64`
325×	`log-prod_binary64`
309×	`fma-neg_binary64`
244×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	438	2908
1	998	2834
2	3388	2834

Stop Event

1×	node limit

Counts

247 → 233

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
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 0 (*.f64 x (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (sin.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (sin.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sin.f64 y))))) (sqrt.f64 (log.f64 (.f64 x (sin.f64 y)))))
(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))))
(log1p.f64 (expm1.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))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sin.f64 y))) 3) 1/3))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sin.f64 y))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 y)) 1) (.f64 (log.f64 x) 1)))
(+.f64 0 (*.f64 z (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 z (cos.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (cos.f64 y))))) (sqrt.f64 (log.f64 (.f64 z (cos.f64 y)))))
(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))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (cos.f64 y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (cos.f64 y))) 3) 1/3))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 (cos.f64 y))))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (cos.f64 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 z) 1) (.f64 (log.f64 (cos.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 y)) 1) (log.f64 z)))
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (*.f64 (log.f64 z) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 y)) 1) (.f64 (log.f64 z) 1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 (neg.f64 z) (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (fma.f64 x (sin.f64 y) (.f64 (neg.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 (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 (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 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(.f64 (-.f64 (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 (neg.f64 z) (cos.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))))
(/.f64 1 (/.f64 (fma.f64 x (sin.f64 y) (.f64 (neg.f64 z) (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (fma.f64 x (sin.f64 y) (*.f64 (neg.f64 z) (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (neg.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2))))
(/.f64 (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 (neg.f64 z) (cos.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))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(pow.f64 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x (sin.f64 y) (.f64 (neg.f64 z) (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (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))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y)))) (pow.f64 (exp.f64 z) (cos.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 x) (sin.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 x (sin.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)))))
(log1p.f64 (expm1.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)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1) 1))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (sin.f64 y)) 1 (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (.f64 z (cos.f64 y)) 1 (.f64 x (sin.f64 y)))
(fma.f64 1 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (*.f64 z (cos.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 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.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 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(+.f64 0 (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1)))
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/2)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (exp.f64 1) (log.f64 (sin.f64 y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2)) (cbrt.f64 (log.f64 (sin.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 y)))) (sqrt.f64 (log.f64 (sin.f64 y))))
(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)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) 1))

Outputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -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 (.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 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7)))) (.f64 x (fma.f64 1/120 (pow.f64 y 5) 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 (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 (.f64 1/24 (pow.f64 y 4)) z))
(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 (*.f64 1/24 (pow.f64 y 4)) z))))
(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 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
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(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x) (.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 z (cbrt.f64 (cos.f64 y))) (.f64 (sin.f64 y) x))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 x (cbrt.f64 (sin.f64 y))) (.f64 (cos.f64 y) z))
(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 0 (sin.f64 y))
(sin.f64 y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(sin.f64 y)
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1)))
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/2)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (exp.f64 1) (log.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2)) (cbrt.f64 (log.f64 (sin.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 y)))) (sqrt.f64 (log.f64 (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)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(log1p.f64 (expm1.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)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) 3)) 1/3))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) 3))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 2))
(sin.f64 y)
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) 1))
(sin.f64 y)

localize10.0ms (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)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
672×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	156	12
2	1853	12

Stop Event

1×	node limit

Counts

1 → 21

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

Outputs

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-neg_binary64`
484×	`associate-l_binary64`
406×	`associate-r_binary64`
378×	`log-prod_binary64`
312×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	726
1	195	721
2	737	718
3	3816	692
4	7350	692

Stop Event

1×	node limit

Counts

57 → 44

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

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

eval82.0ms (1.1%)

Compiler: Compiled 5644 to 1828 computations (67.6% saved)

prune76.0ms (1%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	341	24	365
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	341	26	367

Error

0.0b

Counts

367 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	35.4b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
	32.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	14.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	4.2b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	0.3b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.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)))
	30.7b	(/.f64 1 (/.f64 (fma.f64 x (sin.f64 y) (.f64 (neg.f64 z) (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
	0.5b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
▶	31.4b	(+.f64 (*.f64 y x) z)
▶	30.6b	(+.f64 (.f64 x (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 z (cos.f64 y)))
	0.5b	(+.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	8.5b	(+.f64 (.f64 x (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)) (.f64 z (cos.f64 y)))
	40.5b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1/3))
	0.9b	(+.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)))
	29.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	0.2b	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) (.f64 z (cos.f64 y)))
▶	8.5b	(+.f64 (.f64 x (log.f64 (exp.f64 (sin.f64 y)))) (.f64 z (cos.f64 y)))
	32.9b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
	42.3b	(.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))
	39.6b	(*.f64 (sin.f64 y) x)
	23.6b	(*.f64 (cos.f64 y) z)
	39.0b	z

Compiler

Compiled 741 to 488 computations (34.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

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

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
672×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	156	18
2	1853	18

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-def_binary64`
375×	`fma-neg_binary64`
338×	`associate-/l*_binary64`
315×	`log-prod_binary64`
282×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	880
1	292	872
2	1142	855
3	4393	829

Stop Event

1×	node limit

Counts

74 → 72

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

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

series4.0ms (0.1%)

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	y	@	inf	(+.f64 (*.f64 y x) z)
0.0ms	x	@	-inf	(+.f64 (*.f64 y x) z)
0.0ms	x	@	inf	(+.f64 (*.f64 y x) z)

rewrite41.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-neg_binary64`
492×	`associate-l_binary64`
445×	`div-sub_binary64`
434×	`associate-r_binary64`
237×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	539
1	217	424
2	719	334
3	4753	334

Stop Event

1×	node limit

Counts

44 → 43

Calls

Call 1

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.1b	(*.f64 x (log.f64 (exp.f64 (sin.f64 y))))
✓	2.2b	(log.f64 (exp.f64 (sin.f64 y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite40.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`pow1_binary64`
504×	`add-sqr-sqrt_binary64`
484×	`log1p-expm1-u_binary64`
484×	`expm1-log1p-u_binary64`
483×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	119	14
2	1330	14

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(log.f64 (exp.f64 (sin.f64 y)))
(*.f64 x (log.f64 (exp.f64 (sin.f64 y))))
(exp.f64 (sin.f64 y))

Outputs

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

593×	`fma-def_binary64`
543×	`log-prod_binary64`
521×	`unswap-sqr_binary64`
313×	`fma-neg_binary64`
195×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	581
1	309	569
2	1133	500
3	5183	500

Stop Event

1×	node limit

Counts

89 → 85

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)
1
(+.f64 1 y)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 0 (sin.f64 y))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (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 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (exp.f64 (sin.f64 y))) 1)
(*.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 1 (exp.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2) (cbrt.f64 (exp.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(pow.f64 (exp.f64 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(pow.f64 (exp.f64 1) (sin.f64 y))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (exp.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)
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 (+.f64 y 1) (.f64 1/2 (.f64 y y)))
(+.f64 1 (fma.f64 1/2 (*.f64 y y) y))
(+.f64 y (fma.f64 1/2 (*.f64 y y) 1))
(+.f64 y (fma.f64 y (*.f64 y 1/2) 1))
(+.f64 1 (+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 y 1) (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y))))
(+.f64 y (+.f64 (fma.f64 1/2 (.f64 y y) (.f64 -1/8 (pow.f64 y 4))) 1))
(+.f64 1 (fma.f64 1/2 (*.f64 y y) (fma.f64 -1/8 (pow.f64 y 4) y)))
(+.f64 1 (fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) y)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(+.f64 0 (sin.f64 y))
(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 (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 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(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)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(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 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.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)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(-.f64 (+.f64 1 (exp.f64 (sin.f64 y))) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(*.f64 (exp.f64 (sin.f64 y)) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(*.f64 1 (exp.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2) (cbrt.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (sin.f64 y)) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1/3)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 3)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) 2)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 1) (sin.f64 y))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(log.f64 (exp.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series5.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

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

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
546×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	163	14
2	1578	14

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

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

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

626×	`unswap-sqr_binary64`
602×	`distribute-rgt-in_binary64`
568×	`distribute-lft-in_binary64`
445×	`log-prod_binary64`
290×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	557
1	252	494
2	922	423
3	3993	423

Stop Event

1×	node limit

Counts

80 → 65

Calls

Call 1

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

Outputs
(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 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 (.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 -1/5040 (pow.f64 y 7)) (.f64 -1/6 (pow.f64 y 3))))))
(.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 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 1 (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)) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 (pow.f64 (sin.f64 y) 1/4) (.f64 (pow.f64 (sin.f64 y) 1/4) (sqrt.f64 (sin.f64 y))))
(sin.f64 y)
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/4)) (pow.f64 (sin.f64 y) 1/4))
(sin.f64 y)
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(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)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(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 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) -1)
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (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 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.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)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 9 computations (72.7% saved)

series10.0ms (0.1%)

Counts

2 → 29

Calls

15 calls:

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

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
850×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	196	22
2	2329	22

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

648×	`distribute-rgt-in_binary64`
619×	`distribute-lft-in_binary64`
449×	`fma-def_binary64`
343×	`times-frac_binary64`
318×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	879
1	329	832
2	1189	784
3	3903	759

Stop Event

1×	node limit

Counts

63 → 79

Calls

Call 1

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

Outputs
(*.f64 y (sqrt.f64 x))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 x))))
(fma.f64 y (sqrt.f64 x) (.f64 -1/6 (.f64 (sqrt.f64 x) (pow.f64 y 3))))
(.f64 (sqrt.f64 x) (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 (sqrt.f64 x) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sqrt.f64 x))) (+.f64 (.f64 y (sqrt.f64 x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 x)))))
(fma.f64 1/120 (.f64 (sqrt.f64 x) (pow.f64 y 5)) (fma.f64 y (sqrt.f64 x) (.f64 -1/6 (*.f64 (sqrt.f64 x) (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 (sqrt.f64 x) (pow.f64 y 5)) (.f64 (sqrt.f64 x) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (.f64 1/120 (pow.f64 y 5))))
(.f64 (sqrt.f64 x) (+.f64 (.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) (sqrt.f64 x))) (+.f64 (.f64 y (sqrt.f64 x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (sqrt.f64 x))) (.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 x))))))
(fma.f64 1/120 (.f64 (sqrt.f64 x) (pow.f64 y 5)) (fma.f64 y (sqrt.f64 x) (fma.f64 -1/6 (.f64 (sqrt.f64 x) (pow.f64 y 3)) (.f64 (.f64 -1/5040 (pow.f64 y 7)) (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7)))) (.f64 (sqrt.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)))
(.f64 (sqrt.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)))
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))
(fma.f64 y x (fma.f64 z (.f64 y (.f64 y -1/2)) z))
(fma.f64 y x (fma.f64 z (.f64 -1/2 (.f64 y y)) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 (fma.f64 y x z) (.f64 -1/6 (.f64 x (pow.f64 y 3)))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(+.f64 (.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)) (fma.f64 z (.f64 y (*.f64 y -1/2)) z))
(+.f64 (.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)) (fma.f64 z (.f64 -1/2 (*.f64 y y)) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 1))
(+.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 0)
(*.f64 (sqrt.f64 x) (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 1))
(+.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 0)
(*.f64 (sqrt.f64 x) (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 1))
(+.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 0)
(*.f64 (sqrt.f64 x) (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 x))) 3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 1))
(+.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 0)
(*.f64 (sqrt.f64 x) (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 1))
(+.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 0)
(*.f64 (sqrt.f64 x) (sin.f64 y))
(sqrt.f64 (*.f64 x (pow.f64 (sin.f64 y) 2)))
(fabs.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (sqrt.f64 x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 1))
(+.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 0)
(*.f64 (sqrt.f64 x) (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 1))
(+.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 0)
(*.f64 (sqrt.f64 x) (sin.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 x))))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 1))
(+.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 0)
(*.f64 (sqrt.f64 x) (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 x))))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 1))
(+.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 0)
(*.f64 (sqrt.f64 x) (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 x))))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 1))
(+.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) 0)
(*.f64 (sqrt.f64 x) (sin.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (.f64 (sin.f64 y) x) 1) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 1)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(.f64 (+.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) 1)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(.f64 1 (+.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) 2))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 2) (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(.f64 (sqrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (sqrt.f64 (+.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (.f64 (.f64 (sin.f64 y) x) (.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (-.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 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x) (.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 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 y) x) (.f64 (sin.f64 y) x)) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (fma.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)) (neg.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)
(pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 1)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3) 1/3)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 2)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 2))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

eval121.0ms (1.6%)

Compiler: Compiled 9005 to 3268 computations (63.7% saved)

prune110.0ms (1.4%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	558	8	566
Fresh	8	11	19
Picked	1	0	1
Done	2	4	6
Total	569	23	592

Error

0.0b

Counts

592 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
	41.8b	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
	32.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
▶	14.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	0.3b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.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)))
	54.5b	(pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3) 1/3)
	1.3b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)
	35.7b	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
	30.6b	(/.f64 (-.f64 (.f64 z (.f64 z (.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	31.4b	(+.f64 (*.f64 y x) z)
	8.5b	(+.f64 (.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) (.f64 z (cos.f64 y)))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	29.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
▶	0.2b	(+.f64 (.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) (.f64 z (cos.f64 y)))
	24.4b	(+.f64 (*.f64 x (log.f64 (exp.f64 (sin.f64 y)))) z)
▶	32.9b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
	39.6b	(*.f64 (sin.f64 y) x)
	23.6b	(*.f64 (cos.f64 y) z)
▶	54.4b	(*.f64 y x)
	39.0b	z

Compiler

Compiled 576 to 374 computations (35.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
518×	`add-sqr-sqrt_binary64`
498×	`expm1-log1p-u_binary64`
497×	`add-log-exp_binary64`
497×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	119	14
2	1356	14

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

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

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

483×	`fma-def_binary64`
480×	`log-prod_binary64`
431×	`unswap-sqr_binary64`
418×	`times-frac_binary64`
213×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	592
1	321	578
2	1200	563
3	5004	563

Stop Event

1×	node limit

Counts

93 → 84

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

localize3.0ms (0%)

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 y x) z)
✓	2.5b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
✓	9.5b	(*.f64 (pow.f64 y 2) z)

Compiler

Compiled 44 to 23 computations (47.7% saved)

series23.0ms (0.3%)

Counts

2 → 21

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
2.0ms	z	@	0	(*.f64 (pow.f64 y 2) z)
1.0ms	y	@	0	(*.f64 (pow.f64 y 2) z)
1.0ms	y	@	inf	(*.f64 (pow.f64 y 2) z)
1.0ms	x	@	0	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
630×	`fma-def_binary64`
341×	`pow2_binary64`
334×	`fma-neg_binary64`
235×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	269	22
2	3619	22

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

571×	`distribute-rgt-in_binary64`
539×	`distribute-lft-in_binary64`
503×	`unswap-sqr_binary64`
390×	`cancel-sign-sub-inv_binary64`
285×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	2640
1	780	2431
2	2258	2363

Stop Event

1×	node limit

Counts

138 → 165

Calls

Call 1

Inputs
z
(+.f64 (*.f64 y x) z)
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y x))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(.f64 -1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (-.f64 (.f64 1/2 (pow.f64 y 2)) 1) z)))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (-.f64 (.f64 1/2 (pow.f64 y 2)) 1) z)))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (-.f64 (.f64 1/2 (pow.f64 y 2)) 1) z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(*.f64 y x)
(*.f64 y x)
(+.f64 0 (.f64 (.f64 y y) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (.f64 y y)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y y) z))) 1)
(pow.f64 (.f64 (.f64 y y) z) 1)
(pow.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 y y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 y y) z)) 3)
(pow.f64 (*.f64 y (sqrt.f64 z)) 2)
(pow.f64 (.f64 (pow.f64 (.f64 y y) 3) (pow.f64 z 3)) 1/3)
(pow.f64 (.f64 (pow.f64 z 3) (pow.f64 (.f64 y y) 3)) 1/3)
(sqrt.f64 (.f64 (.f64 z z) (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y y) z))))
(cbrt.f64 (pow.f64 (.f64 (.f64 y y) z) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) (pow.f64 z 3)))
(cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (.f64 y y) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 y y) z)))
(log1p.f64 (expm1.f64 (.f64 (.f64 y y) z)))
(exp.f64 (log.f64 (.f64 (.f64 y y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y y) z)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z)))) 1)
(-.f64 (/.f64 (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4) (-.f64 (.f64 (.f64 (.f64 y y) z) -1/2) (fma.f64 y x z))) (/.f64 (pow.f64 (fma.f64 y x z) 2) (-.f64 (.f64 (.f64 (*.f64 y y) z) -1/2) (fma.f64 y x z))))
(.f64 (fma.f64 (.f64 y y) (*.f64 z -1/2) (fma.f64 y x z)) 1)
(.f64 1 (fma.f64 (.f64 y y) (*.f64 z -1/2) (fma.f64 y x z)))
(.f64 (cbrt.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 y y) (*.f64 z -1/2) (fma.f64 y x z))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z))) 2) (cbrt.f64 (fma.f64 (.f64 y y) (*.f64 z -1/2) (fma.f64 y x z))))
(.f64 (sqrt.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z))) (sqrt.f64 (fma.f64 (.f64 y y) (*.f64 z -1/2) (fma.f64 y x z))))
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) z) 3) -1/8 (pow.f64 (fma.f64 y x z) 3)) (/.f64 1 (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (.f64 (.f64 (.f64 y y) z) -1/2)) (.f64 (.f64 (*.f64 z z) (pow.f64 y 4)) 1/4))))
(.f64 (-.f64 (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4) (pow.f64 (fma.f64 y x z) 2)) (/.f64 1 (-.f64 (.f64 (.f64 (*.f64 y y) z) -1/2) (fma.f64 y x z))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (.f64 (.f64 (.f64 y y) z) -1/2)) (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4)) (fma.f64 (pow.f64 (.f64 (.f64 y y) z) 3) -1/8 (pow.f64 (fma.f64 y x z) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) z) -1/2) (fma.f64 y x z)) (-.f64 (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4) (pow.f64 (fma.f64 y x z) 2))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) z) 3) -1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (.f64 (.f64 (.f64 y y) z) -1/2)) (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) z) 3) -1/8 (pow.f64 (fma.f64 y x z) 3)) (+.f64 (pow.f64 (fma.f64 y x z) 2) (-.f64 (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4) (.f64 (.f64 (.f64 y y) z) (*.f64 -1/2 (fma.f64 y x z))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (.f64 (.f64 (.f64 y y) z) -1/2) (fma.f64 y x z)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) z) 3) -1/8 (pow.f64 (fma.f64 y x z) 3))) (neg.f64 (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (.f64 (.f64 (.f64 y y) z) -1/2)) (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4) (pow.f64 (fma.f64 y x z) 2))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 y y) z) -1/2) (fma.f64 y x z))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x (.f64 (.f64 (.f64 y y) z) -1/2)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (fma.f64 y x (.f64 (.f64 (.f64 y y) z) -1/2)) 2) (-.f64 (.f64 z z) (.f64 (fma.f64 y x (.f64 (.f64 (*.f64 y y) z) -1/2)) z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4)) (-.f64 (fma.f64 y x z) (.f64 (.f64 (.f64 y y) z) -1/2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x (.f64 (.f64 (.f64 y y) z) -1/2)) 2) (.f64 z z)) (-.f64 (fma.f64 y x (.f64 (.f64 (*.f64 y y) z) -1/2)) z))
(pow.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z)) 1)
(pow.f64 (pow.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (.f64 (.f64 (.f64 y y) z) -1/2)) (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4)) (fma.f64 (pow.f64 (.f64 (.f64 y y) z) 3) -1/8 (pow.f64 (fma.f64 y x z) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) z) -1/2) (fma.f64 y x z)) (-.f64 (.f64 (.f64 (.f64 z z) (pow.f64 y 4)) 1/4) (pow.f64 (fma.f64 y x z) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z)) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z)))))
(log.f64 (.f64 (exp.f64 z) (exp.f64 (fma.f64 y x (.f64 (.f64 (.f64 y y) z) -1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 z)) (exp.f64 (fma.f64 y x (.f64 (.f64 (.f64 y y) z) -1/2)))))
(log.f64 (.f64 (exp.f64 z) (.f64 (pow.f64 (pow.f64 (exp.f64 z) (.f64 y y)) -1/2) (exp.f64 (.f64 y x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 z)) (.f64 (pow.f64 (pow.f64 (exp.f64 z) (.f64 y y)) -1/2) (exp.f64 (.f64 y x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (.f64 y y) z) -1/2))) (exp.f64 (fma.f64 y x z))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 z) (.f64 y y)) -1/2) (+.f64 1 (expm1.f64 (fma.f64 y x z)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (.f64 y y) z) -1/2))) (+.f64 1 (expm1.f64 (fma.f64 y x z)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 y x z))) (pow.f64 (pow.f64 (exp.f64 z) (.f64 y y)) -1/2)))
(log.f64 (.f64 (exp.f64 (fma.f64 y x z)) (+.f64 1 (expm1.f64 (.f64 (.f64 (.f64 y y) z) -1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 y x z))) (+.f64 1 (expm1.f64 (.f64 (.f64 (.f64 y y) z) -1/2)))))
(log.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 z) (.f64 y y)) -1/2) (exp.f64 (.f64 y x))) (exp.f64 z)))
(log.f64 (.f64 (exp.f64 (fma.f64 y x (.f64 (.f64 (.f64 y y) z) -1/2))) (+.f64 1 (expm1.f64 z))))
(log.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 z) (.f64 y y)) -1/2) (exp.f64 (.f64 y x))) (+.f64 1 (expm1.f64 z))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z))))
(exp.f64 (log.f64 (fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 y y) (*.f64 z -1/2) (fma.f64 y x z))) 1))
(fma.f64 y x (+.f64 z (.f64 (.f64 (*.f64 y y) z) -1/2)))
(fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z))
(fma.f64 z 1 (fma.f64 y x (.f64 (.f64 (*.f64 y y) z) -1/2)))
(fma.f64 z (.f64 (.f64 y y) -1/2) (fma.f64 y x z))
(fma.f64 (.f64 (.f64 y y) z) -1/2 (fma.f64 y x z))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 y x z))
(fma.f64 (.f64 (.f64 (*.f64 y y) z) -1/2) 1 (fma.f64 y x z))
(fma.f64 x y (+.f64 z (.f64 (.f64 (*.f64 y y) z) -1/2)))
(fma.f64 (.f64 y x) 1 (+.f64 z (.f64 (.f64 (.f64 y y) z) -1/2)))
(fma.f64 (fma.f64 y x z) 1 (.f64 (.f64 (*.f64 y y) z) -1/2))
(fma.f64 1 z (fma.f64 y x (.f64 (.f64 (*.f64 y y) z) -1/2)))
(fma.f64 1 (.f64 (.f64 (*.f64 y y) z) -1/2) (fma.f64 y x z))
(fma.f64 1 (.f64 y x) (+.f64 z (.f64 (.f64 (.f64 y y) z) -1/2)))
(fma.f64 1 (fma.f64 y x z) (.f64 (.f64 (*.f64 y y) z) -1/2))
(fma.f64 1 (fma.f64 y x (.f64 (.f64 (*.f64 y y) z) -1/2)) z)
(fma.f64 (cbrt.f64 (fma.f64 y x z)) (pow.f64 (cbrt.f64 (fma.f64 y x z)) 2) (.f64 (.f64 (*.f64 y y) z) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x z)) 2) (cbrt.f64 (fma.f64 y x z)) (.f64 (.f64 (*.f64 y y) z) -1/2))
(fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 y y) z) -1/2)) (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 y y) z) -1/2)) 2) (fma.f64 y x z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 y y) z) -1/2)) 2) (cbrt.f64 (.f64 (.f64 (.f64 y y) z) -1/2)) (fma.f64 y x z))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (fma.f64 y x (.f64 (.f64 (*.f64 y y) z) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (fma.f64 y x (.f64 (.f64 (*.f64 y y) z) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (+.f64 z (.f64 (.f64 (.f64 y y) z) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (+.f64 z (.f64 (.f64 (.f64 y y) z) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 y y) z)) 2) (.f64 (cbrt.f64 (.f64 (*.f64 y y) z)) -1/2) (fma.f64 y x z))
(fma.f64 (cbrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (+.f64 z (.f64 (.f64 (*.f64 y y) z) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (+.f64 z (.f64 (.f64 (*.f64 y y) z) -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 y x z)) (sqrt.f64 (fma.f64 y x z)) (.f64 (.f64 (*.f64 y y) z) -1/2))
(fma.f64 (.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 -1/2)) (.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 -1/2)) (fma.f64 y x z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (fma.f64 y x (.f64 (.f64 (*.f64 y y) z) -1/2)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (+.f64 z (.f64 (.f64 (.f64 y y) z) -1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (+.f64 z (.f64 (.f64 (.f64 y y) z) -1/2)))
(fma.f64 (.f64 y (sqrt.f64 z)) (.f64 (*.f64 y (sqrt.f64 z)) -1/2) (fma.f64 y x z))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (+.f64 z (.f64 (.f64 (*.f64 y y) z) -1/2)))
(fma.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (.f64 y x) 2))) (.f64 (.f64 (.f64 y y) z) -1/2))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 y x) z)) (.f64 (.f64 (.f64 y y) z) -1/2))
(fma.f64 (.f64 (.f64 y y) -1/2) z (fma.f64 y x z))
(fma.f64 (fma.f64 y x (.f64 (.f64 (*.f64 y y) z) -1/2)) 1 z)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (.f64 (.f64 (.f64 y y) z) -1/2))) 2) (cbrt.f64 (fma.f64 y x (.f64 (.f64 (.f64 y y) z) -1/2))) z)
(fma.f64 (sqrt.f64 (fma.f64 y x (.f64 (.f64 (.f64 y y) z) -1/2))) (sqrt.f64 (fma.f64 y x (.f64 (.f64 (.f64 y y) z) -1/2))) z)
(fma.f64 (.f64 -1/2 z) (.f64 y y) (fma.f64 y x z))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 (.f64 (.f64 y y) z)) 2)) (cbrt.f64 (.f64 (*.f64 y y) z)) (fma.f64 y x z))
(fma.f64 (.f64 -1/2 (.f64 y (sqrt.f64 z))) (*.f64 y (sqrt.f64 z)) (fma.f64 y x z))
(fma.f64 (.f64 (.f64 (*.f64 y y) -1/2) 1) z (fma.f64 y x z))
(fma.f64 (.f64 (.f64 (*.f64 y y) -1/2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y x z))
(fma.f64 (.f64 (.f64 (*.f64 y y) -1/2) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 z (.f64 (.f64 (.f64 y y) z) -1/2)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 z (.f64 (.f64 (.f64 y y) z) -1/2)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 z (.f64 (.f64 (.f64 y y) z) -1/2)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 z (.f64 (.f64 (.f64 y y) z) -1/2)))

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
✓	40.6b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series18.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	z	@	-inf	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
1.0ms	y	@	0	(pow.f64 (*.f64 z (cos.f64 y)) 3)
1.0ms	y	@	inf	(pow.f64 (*.f64 z (cos.f64 y)) 3)
1.0ms	y	@	-inf	(pow.f64 (*.f64 z (cos.f64 y)) 3)
1.0ms	z	@	0	(pow.f64 (*.f64 z (cos.f64 y)) 3)

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
603×	`add-log-exp_binary64`
603×	`log1p-expm1-u_binary64`
603×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	168	15
2	1728	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-def_binary64`
380×	`exp-prod_binary64`
358×	`cube-prod_binary64`
352×	`fma-neg_binary64`
344×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	957
1	427	931
2	1569	898
3	5501	898

Stop Event

1×	node limit

Counts

102 → 85

Calls

Call 1

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series20.0ms (0.3%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	(*.f64 z (sqrt.f64 (cos.f64 y)))
1.0ms	z	@	0	(*.f64 z (sqrt.f64 (cos.f64 y)))
1.0ms	y	@	-inf	(*.f64 z (sqrt.f64 (cos.f64 y)))
0.0ms	y	@	-inf	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
0.0ms	y	@	inf	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
850×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	196	27
2	2329	27

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

566×	`fma-def_binary64`
420×	`log-prod_binary64`
390×	`times-frac_binary64`
349×	`fma-neg_binary64`
342×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1277
1	405	1212
2	1449	1148
3	5001	1109

Stop Event

1×	node limit

Counts

110 → 113

Calls

Call 1

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

Outputs
(*.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)
(fma.f64 -1/4 (.f64 z (.f64 y y)) z)
(.f64 (fma.f64 -1/4 (.f64 y y) 1) z)
(.f64 z (fma.f64 -1/4 (.f64 y y) 1))
(.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 -1/96 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/4 (.f64 y (.f64 y z)) (*.f64 (fma.f64 -1/96 (pow.f64 y 4) 1) z))
(.f64 z (fma.f64 -1/4 (.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 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 -1/96 (*.f64 z (pow.f64 y 4)))))
(fma.f64 -19/5760 (.f64 z (pow.f64 y 6)) (fma.f64 -1/4 (.f64 y (.f64 y z)) (.f64 (fma.f64 -1/96 (pow.f64 y 4) 1) z)))
(+.f64 z (.f64 z (fma.f64 -1/4 (.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6))))))
(+.f64 z (.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6))))))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
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 (.f64 y (.f64 y z)) -1/2 (fma.f64 y x z))
(fma.f64 y x (fma.f64 z (.f64 y (.f64 y -1/2)) 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 (.f64 y (.f64 y z)) -1/2 (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))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 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 -1/96 (pow.f64 y 4)))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 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 -19/5760 (pow.f64 y 6))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1)))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1)))
(-.f64 (+.f64 1 (*.f64 z (sqrt.f64 (cos.f64 y)))) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(sqrt.f64 (.f64 (cos.f64 y) (.f64 z z)))
(fabs.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3/2)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 z 3)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 (sqrt.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))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (.f64 z (cos.f64 y)) 1) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(-.f64 (+.f64 1 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 1)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(.f64 1 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) 2))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(.f64 (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (+.f64 (.f64 (.f64 z (cos.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 (.f64 (cos.f64 y) z) (.f64 (cos.f64 y) z) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))
(/.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 (cos.f64 y) z)) (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.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)) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) z) (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) (neg.f64 z))))))
(/.f64 (-.f64 (.f64 (.f64 z (cos.f64 y)) (.f64 z (cos.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(/.f64 (-.f64 (.f64 z (.f64 (cos.f64 y) (.f64 (cos.f64 y) z))) (pow.f64 (.f64 (sin.f64 y) x) 2)) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (cos.f64 y) (.f64 z z))) (pow.f64 (.f64 (sin.f64 y) x) 2)) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(/.f64 (fma.f64 (cos.f64 y) (.f64 (cos.f64 y) (.f64 z z)) (neg.f64 (pow.f64 (.f64 (sin.f64 y) x) 2))) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1)
(pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) 1)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) 3) 1/3)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 3)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(pow.f64 (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 2)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(sqrt.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) 2))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(log.f64 (exp.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cbrt.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) 3))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(expm1.f64 (log1p.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(log1p.f64 (expm1.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(exp.f64 (log.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(-.f64 (+.f64 1 (sqrt.f64 (cos.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 1 (sqrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(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)))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(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)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(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))
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))

eval233.0ms (3.1%)

Compiler: Compiled 13165 to 5209 computations (60.4% saved)

prune198.0ms (2.6%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	699	13	712
Fresh	3	11	14
Picked	1	0	1
Done	3	5	8
Total	706	29	735

Error

0.0b

Counts

735 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
	41.8b	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
	14.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (-.f64 (+.f64 1 (sqrt.f64 (cos.f64 y))) 1) (.f64 x (sin.f64 y)))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	31.4b	(fma.f64 y x z)
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	54.5b	(pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3) 1/3)
	1.3b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)
	35.7b	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
	30.6b	(/.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (cos.f64 y) (.f64 z z))) (pow.f64 (.f64 (sin.f64 y) x) 2)) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
	46.2b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	31.4b	(+.f64 (*.f64 y x) z)
	8.5b	(+.f64 (.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) (.f64 z (cos.f64 y)))
▶	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
	32.7b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	14.6b	(+.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)))
	29.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
▶	16.1b	(+.f64 (*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) z)
	24.4b	(+.f64 (*.f64 x (log.f64 (exp.f64 (sin.f64 y)))) z)
	32.9b	(+.f64 (.f64 -1/2 (.f64 y (.f64 z y))) (+.f64 (.f64 y x) z))
	39.6b	(*.f64 (sin.f64 y) x)
▶	23.6b	(*.f64 (cos.f64 y) z)
	41.4b	(.f64 z (+.f64 1 (.f64 y (*.f64 y -1/2))))
	62.8b	(.f64 z (.f64 y (*.f64 y -1/2)))
	54.9b	(.f64 y (+.f64 (.f64 (*.f64 z -1/2) y) x))
✓	54.4b	(*.f64 y x)
▶	62.7b	(.f64 -1/2 (.f64 y (*.f64 z y)))
	39.0b	z

Compiler

Compiled 730 to 480 computations (34.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 18 computations (67.3% saved)

series16.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(*.f64 (cbrt.f64 (cos.f64 y)) z)
2.0ms	z	@	0	(*.f64 (cbrt.f64 (cos.f64 y)) z)
2.0ms	y	@	inf	(*.f64 (cbrt.f64 (cos.f64 y)) z)
1.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
1.0ms	y	@	-inf	(cbrt.f64 (cos.f64 y))

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	181	27
2	2014	27

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

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

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Rules

912×	`log-prod_binary64`
582×	`fma-neg_binary64`
573×	`fma-def_binary64`
349×	`*-commutative_binary64`
280×	`log-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	1158
1	402	1097
2	1453	1037
3	4320	1028
4	7443	1028

Stop Event

1×	node limit

Counts

135 → 131

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

localize35.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (.f64 z y))

Compiler

Compiled 21 to 8 computations (61.9% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`pow1_binary64`
444×	`add-sqr-sqrt_binary64`
439×	`*-un-lft-identity_binary64`
428×	`add-log-exp_binary64`
428×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	99	7
2	1182	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 y (.f64 z y))

Outputs

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

simplify38.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

834×	`log-prod_binary64`
484×	`distribute-rgt-in_binary64`
471×	`distribute-lft-in_binary64`
374×	`associate-l_binary64`
337×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	245
1	82	245
2	313	245
3	2197	245
4	6638	245

Stop Event

1×	node limit

Counts

35 → 14

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite35.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`pow1_binary64`
440×	`add-sqr-sqrt_binary64`
435×	`*-un-lft-identity_binary64`
422×	`add-log-exp_binary64`
422×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	97	6
2	1146	6

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-def_binary64`
517×	`log-prod_binary64`
378×	`distribute-rgt-out_binary64`
332×	`*-commutative_binary64`
325×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	182
1	128	178
2	413	174
3	2075	171
4	5781	171

Stop Event

1×	node limit

Counts

23 → 27

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y))))
	0.1b	(expm1.f64 (sin.f64 y))
	0.2b	(log1p.f64 (expm1.f64 (sin.f64 y)))

Compiler

Compiled 29 to 8 computations (72.4% saved)

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(*.f64 (sin.f64 y) x)
✓	0.2b	(pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3)
✓	38.2b	(pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3) 1/3)

Compiler

Compiled 53 to 16 computations (69.8% saved)

series71.0ms (0.9%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
38.0ms	x	@	inf	(pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3) 1/3)
8.0ms	z	@	0	(pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3) 1/3)
4.0ms	x	@	0	(pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3) 1/3)
4.0ms	z	@	-inf	(pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3) 1/3)
3.0ms	x	@	-inf	(pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3) 1/3)

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary64`
395×	`pow-prod-down_binary64`
337×	`fma-def_binary64`
320×	`pow2_binary64`
227×	`pow-to-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	284	27
2	3221	27

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3) 1/3)
(pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) 3)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2) (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 y) x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2) (*.f64 z (cos.f64 y)) (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2) (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2) (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2) (*.f64 z (cos.f64 y))))))))

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

645×	`associate-r_binary64`
533×	`associate-l_binary64`
529×	`fma-def_binary64`
252×	`distribute-rgt-in_binary64`
247×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	661	7133
1	2213	6775

Stop Event

1×	node limit

Counts

181 → 286

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (.f64 (+.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (.f64 2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) z))) (.f64 (sin.f64 y) x))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) 2))))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (.f64 (+.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (.f64 2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) z))) (.f64 (sin.f64 y) x)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))) 1/3) (.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/3) (pow.f64 (+.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (.f64 2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) 3) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) 2))))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (.f64 (+.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (.f64 2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) z))) (.f64 (sin.f64 y) x))))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))))))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))))) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) 2)))) (.f64 (pow.f64 (cos.f64 y) 2) z)))))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) 2)))) (.f64 (pow.f64 (cos.f64 y) 2) z))) (.f64 1/3 (/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) 3) (pow.f64 (cos.f64 y) 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 5)) 1/3) (.f64 (-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))))))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cos.f64 y) 2))) 1/3) (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))))) (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cos.f64 y) 2))) 1/3) (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))))) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z))) (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 -1 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 y))) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) 2)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 z (pow.f64 (cos.f64 y) 2)))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cos.f64 y) 2))) 1/3) (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (.f64 2/3 (.f64 (.f64 (-.f64 (+.f64 (.f64 -2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 -1 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 y))) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 (cos.f64 y) 5))) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cos.f64 y) 2)))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z))) (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -2 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 -1 (.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 y))) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) 2)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 z (pow.f64 (cos.f64 y) 2))))))))
z
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 (pow.f64 z 2) x) (.f64 2 (.f64 (pow.f64 z 2) x))) y) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))) z)
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 (pow.f64 z 2) x) (.f64 2 (.f64 (pow.f64 z 2) x))) y) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))) (+.f64 z (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 2 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 -1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) z))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 (pow.f64 z 2) x) (.f64 2 (.f64 (pow.f64 z 2) x))) 2) (pow.f64 (/.f64 1 z) 1/3))))) (pow.f64 z 2)))))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 (pow.f64 z 2) x) (.f64 2 (.f64 (pow.f64 z 2) x))) y) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 3) (-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 z x)) (.f64 -1 (.f64 z x))) z) (.f64 -1/6 (.f64 (pow.f64 z 2) x))))) (+.f64 (.f64 2/3 (.f64 (.f64 (+.f64 (.f64 (pow.f64 z 2) x) (.f64 2 (.f64 (pow.f64 z 2) x))) (-.f64 (+.f64 (.f64 2 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) (.f64 -1/2 (pow.f64 z 3)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 (pow.f64 z 2) x) (.f64 2 (.f64 (pow.f64 z 2) x))) 2) (pow.f64 (/.f64 1 z) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 (pow.f64 z 2) x) (.f64 2 (.f64 (pow.f64 z 2) x))) 3) (pow.f64 z 2)))))) (pow.f64 z 2))) (+.f64 z (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 2 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 -1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) z))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 (pow.f64 z 2) x) (.f64 2 (*.f64 (pow.f64 z 2) x))) 2) (pow.f64 (/.f64 1 z) 1/3))))) (pow.f64 z 2))))))
(+.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 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) (sin.f64 y)))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) (sin.f64 y)))) x))))
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(*.f64 (sin.f64 y) x)
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(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
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(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
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(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
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(pow.f64 z 3)
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(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 3)
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(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
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(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 2))
(fma.f64 (.f64 z (cos.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 2) (.f64 (.f64 (sin.f64 y) x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2)))
(fma.f64 (.f64 (sin.f64 y) x) (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 2) (.f64 (.f64 z (cos.f64 y)) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2)))
(fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 2) (.f64 z (cos.f64 y)) (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 2) (*.f64 (sin.f64 y) x)))
(fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 2) (.f64 (sin.f64 y) x) (.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 2) (*.f64 z (cos.f64 y))))

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

eval477.0ms (6.3%)

Compiler: Compiled 20013 to 10103 computations (49.5% saved)

prune193.0ms (2.5%)

Pruning

32 alts after pruning (23 fresh and 9 done)

	Pruned	Kept	Total
New	686	9	695
Fresh	5	14	19
Picked	1	0	1
Done	0	9	9
Total	692	32	724

Error

0.0b

Counts

724 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	41.8b	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
	14.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (-.f64 (+.f64 1 (sqrt.f64 (cos.f64 y))) 1) (.f64 x (sin.f64 y)))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	31.4b	(fma.f64 y x z)
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	58.0b	(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
	24.3b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
	35.7b	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
	16.5b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3) z)
✓	31.4b	(+.f64 (*.f64 y x) z)
	16.5b	(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 3)) z)
	24.4b	(+.f64 (*.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) z)
✓	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
	0.5b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
	32.7b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	14.6b	(+.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)))
	29.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
	16.4b	(+.f64 (*.f64 x (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3))) z)
✓	16.1b	(+.f64 (*.f64 x (log1p.f64 (expm1.f64 (sin.f64 y)))) z)
	24.4b	(+.f64 (*.f64 x (log.f64 (exp.f64 (sin.f64 y)))) z)
	32.9b	(+.f64 (.f64 -1/2 (.f64 y (.f64 z y))) (+.f64 (.f64 y x) z))
	39.6b	(*.f64 (sin.f64 y) x)
✓	23.6b	(*.f64 (cos.f64 y) z)
	41.4b	(.f64 z (+.f64 1 (.f64 y (*.f64 y -1/2))))
	62.8b	(.f64 z (.f64 y (*.f64 y -1/2)))
	54.9b	(.f64 y (+.f64 (.f64 (*.f64 z -1/2) y) x))
✓	54.4b	(*.f64 y x)
	62.6b	(.f64 -1/2 (-.f64 (+.f64 1 (.f64 y (*.f64 y z))) 1))
✓	62.7b	(.f64 -1/2 (.f64 y (*.f64 z y)))
	50.2b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
	39.0b	z

Compiler

Compiled 403 to 277 computations (31.3% saved)

regimes179.0ms (2.4%)

Counts

56 → 1

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	y
43.0ms	x
30.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
25.0ms	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 698 to 260 computations (62.8% saved)

regimes52.0ms (0.7%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 187 to 96 computations (48.7% saved)

regimes161.0ms (2.1%)

Counts

14 → 7

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) z)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) z)
(+.f64 (*.f64 y x) z)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)

Calls

3 calls:

58.0ms	z
53.0ms	y
46.0ms	x

Results

Error	Segments	Branch
12.0b	5	`x`
12.4b	5	`y`
10.1b	7	`z`

Compiler

Compiled 115 to 61 computations (47% saved)

bsearch241.0ms (3.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
58.0ms	4.749970350515265e-44	4.373762098011621e-37
43.0ms	-7.8976534871713965e-202	-2.5744628183693216e-207
29.0ms	-1.595188085368494e-125	-2.6678056550548118e-126
38.0ms	-6.42286751303293e-58	-5.016572201533801e-61
40.0ms	-982353229497887.5	-421731877067.9113
33.0ms	-1.3551024322037868e+88	-4.338602373323264e+86

Results

100.0ms	223×	body	1024	valid
94.0ms	425×	body	256	valid
36.0ms	104×	body	512	valid

Compiler

Compiled 959 to 722 computations (24.7% saved)

regimes167.0ms (2.2%)

Counts

12 → 8

Calls

Call 1

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

Calls

3 calls:

94.0ms	y
44.0ms	z
26.0ms	x

Results

Error	Segments	Branch
13.4b	3	`x`
11.4b	8	`y`
13.0b	3	`z`

Compiler

Compiled 92 to 49 computations (46.7% saved)

bsearch365.0ms (4.8%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
57.0ms	1.1033967975567915e+292	6.876180369095638e+295
67.0ms	7.626405878953431e+257	3.2247016565015984e+266
28.0ms	5.900871021504352e-5	1876.8873930736702
38.0ms	-1733714.8773660765	-8.633672816460992
18.0ms	-1.0427225332391158e+119	-7.60846466771859e+118
62.0ms	-1.1727166851073349e+181	-1.4447498162044903e+177
95.0ms	-5.136870635159097e+203	-4.015349320642577e+200

Results

272.0ms	528×	body	1024	valid
61.0ms	288×	body	256	valid
17.0ms	48×	body	512	valid

Compiler

Compiled 1044 to 751 computations (28.1% saved)

regimes65.0ms (0.9%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	z
22.0ms	x
16.0ms	y

Results

Error	Segments	Branch
18.5b	3	`x`
15.1b	3	`y`
17.5b	3	`z`

Compiler

Compiled 84 to 46 computations (45.2% saved)

bsearch51.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	5.900871021504352e-5	1876.8873930736702
25.0ms	-8.633672816460992	-1.2680848018872679e-5

Results

47.0ms

288×

body

256

valid

Compiler

Compiled 468 to 319 computations (31.8% saved)

regimes21.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	z
6.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 80 to 44 computations (45% saved)

regimes32.0ms (0.4%)

Accuracy

Total -25.9b remaining (-71.2%)

Threshold costs -25.9b (-71.2%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

20.0ms	x
9.0ms	z
3.0ms	y

Results

Error	Segments	Branch
38.0b	3	`x`
39.0b	1	`y`
36.4b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch47.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	4.6578336820538164e-70	3.4589336606575565e-61
0.0ms	-1.644176712385806e-200	-1.5824776963865747e-200

Results

26.0ms	93×	body	256	valid
12.0ms	29×	body	1024	valid
6.0ms	22×	body	512	valid

Compiler

Compiled 126 to 94 computations (25.4% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
6×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	295
1	93	295
2	94	295

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -999999999999999959416724456350362731491996089648451439669739009806703922950954425516032) (.f64 (cos.f64 y) z) (if (<=.f64 z -135000000000000) (+.f64 (.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) z) (if (<=.f64 z -1908194829960655/7067388259113537318333190002971674063309935587502475832486424805170479104) (.f64 (cos.f64 y) z) (if (<=.f64 z -8231172935403495/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (+.f64 (.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) z) (if (<=.f64 z -4743460946267709/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152) (+.f64 (.f64 y x) z) (if (<=.f64 z 7049479487983089/6129982163463555433433388108601236734474956488734408704) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))
(if (<=.f64 y -2800000000000000051224068356121389911063190048706034750526607164729884095253213494260808799709949193530370927545965838664768149041416057498627091588415769869225775114116481588333896106433343680059277312) (.f64 (cos.f64 y) z) (if (<=.f64 y -320000000000000016780197903202010790255161604941751187538116391786177978712119003642270618588411443711639188365341829690539052853765991812855433534738955432698141025923864884936704) (.f64 (sin.f64 y) x) (if (<=.f64 y -81999999999999994346661826503699351577905459038902552097480430525631371458668686560997700509410965937359170222128365568) (.f64 (cos.f64 y) z) (if (<=.f64 y -2476979795053773/281474976710656) (.f64 (sin.f64 y) x) (if (<=.f64 y 6052837899185947/144115188075855872) (+.f64 (.f64 -1/2 (.f64 y (.f64 z y))) (+.f64 (.f64 y x) z)) (if (<=.f64 y 25000000000000000404320982375239586952404317803831170274188944074013538382508947109033380624110134107204763325829599078779080431168732293488310385006364118961085872746411506488952348081232497201772283906767666171900903736777545784109013593839672538611666575687680) (.f64 (cos.f64 y) z) (if (<=.f64 y 62000000000000003480902574802694151144181681836818374767031493142373828603679306386716419818981613489893155605457443542587634784188060975485355855331852088011127418382208285832723243455376555288089611870929859483386843401166731346563096875089093104020390405439782783890191145193960638345379840) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))))
(if (<=.f64 y -5188146770730811/576460752303423488) (.f64 (cos.f64 y) z) (if (<=.f64 y 7493989779944505/288230376151711744) (+.f64 (.f64 -1/2 (.f64 y (.f64 z y))) (+.f64 (.f64 y x) z)) (.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 z -5515652263101987/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) z (if (<=.f64 z 376392097868735/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (*.f64 y x) z))
z

Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (<=.f64 z -999999999999999959416724456350362731491996089648451439669739009806703922950954425516032) (.f64 (cos.f64 y) z) (if (<=.f64 z -135000000000000) (+.f64 (.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) z) (if (<=.f64 z -1908194829960655/7067388259113537318333190002971674063309935587502475832486424805170479104) (.f64 (cos.f64 y) z) (if (<=.f64 z -8231172935403495/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (+.f64 (.f64 x (-.f64 (+.f64 1 (sin.f64 y)) 1)) z) (if (<=.f64 z -4743460946267709/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152) (+.f64 (.f64 y x) z) (if (<=.f64 z 7049479487983089/6129982163463555433433388108601236734474956488734408704) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))
(if (<=.f64 z -999999999999999959416724456350362731491996089648451439669739009806703922950954425516032) (.f64 z (cos.f64 y)) (if (<=.f64 z -135000000000000) (+.f64 z (.f64 x (+.f64 (+.f64 (sin.f64 y) 1) -1))) (if (<=.f64 z -1908194829960655/7067388259113537318333190002971674063309935587502475832486424805170479104) (.f64 z (cos.f64 y)) (if (<=.f64 z -8231172935403495/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (+.f64 z (.f64 x (+.f64 (+.f64 (sin.f64 y) 1) -1))) (if (<=.f64 z -4743460946267709/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152) (+.f64 z (.f64 x y)) (if (<=.f64 z 7049479487983089/6129982163463555433433388108601236734474956488734408704) (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
(if (<=.f64 y -2800000000000000051224068356121389911063190048706034750526607164729884095253213494260808799709949193530370927545965838664768149041416057498627091588415769869225775114116481588333896106433343680059277312) (.f64 (cos.f64 y) z) (if (<=.f64 y -320000000000000016780197903202010790255161604941751187538116391786177978712119003642270618588411443711639188365341829690539052853765991812855433534738955432698141025923864884936704) (.f64 (sin.f64 y) x) (if (<=.f64 y -81999999999999994346661826503699351577905459038902552097480430525631371458668686560997700509410965937359170222128365568) (.f64 (cos.f64 y) z) (if (<=.f64 y -2476979795053773/281474976710656) (.f64 (sin.f64 y) x) (if (<=.f64 y 6052837899185947/144115188075855872) (+.f64 (.f64 -1/2 (.f64 y (.f64 z y))) (+.f64 (.f64 y x) z)) (if (<=.f64 y 25000000000000000404320982375239586952404317803831170274188944074013538382508947109033380624110134107204763325829599078779080431168732293488310385006364118961085872746411506488952348081232497201772283906767666171900903736777545784109013593839672538611666575687680) (.f64 (cos.f64 y) z) (if (<=.f64 y 62000000000000003480902574802694151144181681836818374767031493142373828603679306386716419818981613489893155605457443542587634784188060975485355855331852088011127418382208285832723243455376555288089611870929859483386843401166731346563096875089093104020390405439782783890191145193960638345379840) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))))
(if (<=.f64 y -2800000000000000051224068356121389911063190048706034750526607164729884095253213494260808799709949193530370927545965838664768149041416057498627091588415769869225775114116481588333896106433343680059277312) (.f64 z (cos.f64 y)) (if (<=.f64 y -320000000000000016780197903202010790255161604941751187538116391786177978712119003642270618588411443711639188365341829690539052853765991812855433534738955432698141025923864884936704) (.f64 x (sin.f64 y)) (if (<=.f64 y -81999999999999994346661826503699351577905459038902552097480430525631371458668686560997700509410965937359170222128365568) (.f64 z (cos.f64 y)) (if (<=.f64 y -2476979795053773/281474976710656) (.f64 x (sin.f64 y)) (if (<=.f64 y 6052837899185947/144115188075855872) (+.f64 (+.f64 z (.f64 x y)) (.f64 -1/2 (.f64 y (.f64 y z)))) (if (<=.f64 y 25000000000000000404320982375239586952404317803831170274188944074013538382508947109033380624110134107204763325829599078779080431168732293488310385006364118961085872746411506488952348081232497201772283906767666171900903736777545784109013593839672538611666575687680) (.f64 z (cos.f64 y)) (if (<=.f64 y 62000000000000003480902574802694151144181681836818374767031493142373828603679306386716419818981613489893155605457443542587634784188060975485355855331852088011127418382208285832723243455376555288089611870929859483386843401166731346563096875089093104020390405439782783890191145193960638345379840) (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))))
(if (<=.f64 y -5188146770730811/576460752303423488) (.f64 (cos.f64 y) z) (if (<=.f64 y 7493989779944505/288230376151711744) (+.f64 (.f64 -1/2 (.f64 y (.f64 z y))) (+.f64 (.f64 y x) z)) (.f64 (cos.f64 y) z)))
(if (<=.f64 y -5188146770730811/576460752303423488) (.f64 z (cos.f64 y)) (if (<=.f64 y 7493989779944505/288230376151711744) (+.f64 (+.f64 z (.f64 x y)) (.f64 -1/2 (.f64 y (.f64 y z)))) (.f64 z (cos.f64 y))))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 z -5515652263101987/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) z (if (<=.f64 z 376392097868735/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (*.f64 y x) z))
(if (<=.f64 z -5515652263101987/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) z (if (<=.f64 z 376392097868735/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (*.f64 x y) z))
z

Compiler

Compiled 223 to 125 computations (43.9% saved)

soundness33.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	16	12

Stop Event

1×

saturated

Compiler

Compiled 23 to 15 computations (34.8% saved)

end82.0ms (1.1%)

Compiler: Compiled 202 to 82 computations (59.4% saved)