Details

analyze225.0ms (0.7%)

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)

sample2.3s (7.6%)

Results

1.0s	5074×	body	256	valid
984.0ms	2124×	body	1024	valid
317.0ms	1051×	body	512	valid
6.0ms	7×	body	2048	valid

Bogosity

preprocess17.0ms (0.1%)

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0%)

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series33.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

Compiler

Compiled 1176 to 859 computations (27% saved)

rewrite73.0ms (0.2%)

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	24
1	187	24
2	2497	24

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

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

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

simplify69.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

461×	`cancel-sign-sub-inv_binary64`
382×	`difference-of-squares_binary64`
290×	`fma-neg_binary64`
238×	`distribute-rgt-neg-in_binary64`
235×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	2581
1	854	2532
2	2756	2529

Stop Event

1×	node limit

Counts

201 → 189

Calls

Call 1

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

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

eval38.0ms (0.1%)

Compiler: Compiled 3068 to 1013 computations (67% saved)

prune43.0ms (0.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	172	17	189
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	172	18	190

Error

0.0b

Counts

190 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.6b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
	32.1b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
▶	33.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
	33.7b	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.2b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	30.7b	(fma.f64 y z x)
	27.1b	(/.f64 1 (/.f64 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
	33.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
▶	30.7b	(+.f64 (*.f64 y z) x)
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	22.8b	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	35.3b	(+.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
	13.4b	(+.f64 x (*.f64 z (sin.f64 y)))
	37.9b	(*.f64 z (sin.f64 y))

Compiler

Compiled 502 to 324 computations (35.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
✓	0.2b	(pow.f64 (cos.f64 y) 2)
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
✓	0.4b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 49 to 22 computations (55.1% saved)

series44.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
4.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
3.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
3.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
3.0ms	y	@	0	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))

Compiler

Compiled 1003 to 845 computations (15.8% saved)

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
638×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	176	30
2	1920	30

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

578×	`fma-def_binary64`
500×	`log-prod_binary64`
359×	`fma-neg_binary64`
344×	`exp-prod_binary64`
339×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	1337
1	425	1276
2	1534	1223
3	4942	1216

Stop Event

1×	node limit

Counts

128 → 144

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)
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
x
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) x)) x)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(-.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 (cbrt.f64 (pow.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 (cos.f64 y) 2) 1/6)
(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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 2/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.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 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) 1)
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)) 3)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
(sqrt.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))

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)
(+.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))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405)))
(+.f64 (fma.f64 (.f64 y y) -1/3 1) (.f64 (pow.f64 y 6) -1/405))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))
(+.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)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (.f64 (pow.f64 y 4) 1/3))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 1) (*.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (fma.f64 -2/45 (pow.f64 y 6) (.f64 (pow.f64 y 4) 1/3)))
(+.f64 (-.f64 1 (.f64 y y)) (fma.f64 (pow.f64 y 4) 1/3 (.f64 (pow.f64 y 6) -2/45)))
(-.f64 (fma.f64 (pow.f64 y 6) -2/45 (fma.f64 (pow.f64 y 4) 1/3 1)) (*.f64 y y))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 (fma.f64 (pow.f64 y 6) -2/45 1)) (*.f64 y y))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
x
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/3 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 (.f64 y y) -1/3 1) x)
(.f64 (fma.f64 y (.f64 y -1/3) 1) x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/405 (.f64 (pow.f64 y 6) x) (fma.f64 -1/3 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 (.f64 y y) -1/3 (*.f64 (pow.f64 y 6) -1/405))))
(fma.f64 x (fma.f64 y (.f64 y -1/3) (.f64 (pow.f64 y 6) -1/405)) x)
(fma.f64 x (fma.f64 (pow.f64 y 6) -1/405 (.f64 (.f64 y y) -1/3)) x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) x)) x)))
(fma.f64 -1/405 (.f64 (pow.f64 y 6) x) (fma.f64 -1/3 (.f64 (.f64 y y) x) (fma.f64 -1/1701 (.f64 (pow.f64 y 8) x) x)))
(+.f64 (fma.f64 -1/1701 (.f64 (pow.f64 y 8) x) x) (.f64 x (fma.f64 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405))))
(+.f64 x (.f64 x (fma.f64 y (.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 (*.f64 -1/1701 (pow.f64 y 8))))))
(.f64 x (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(pow.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/6) 4)
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.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))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (cos.f64 y) 2/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (cbrt.f64 (pow.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))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y))))
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(*.f64 (cos.f64 y) (cos.f64 y))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 2)
(/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x) 3) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(sqrt.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(sqrt.f64 (.f64 x (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x) 3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series6.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

Compiler

Compiled 298 to 203 computations (31.9% saved)

rewrite39.0ms (0.1%)

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 z) x)

Outputs

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

simplify42.0ms (0.1%)

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

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series10.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 487 to 335 computations (31.2% saved)

rewrite46.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`pow1_binary64`
841×	`add-log-exp_binary64`
841×	`log1p-expm1-u_binary64`
841×	`expm1-log1p-u_binary64`
822×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	168	10
2	2280	10

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
530×	`div-sub_binary64`
470×	`cancel-sign-sub-inv_binary64`
401×	`fma-def_binary64`
297×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1036
1	278	1011
2	947	1008
3	4044	894

Stop Event

1×	node limit

Counts

73 → 59

Calls

Call 1

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

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

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 9 computations (72.7% saved)

series3.2s (10.3%)

Counts

2 → 37

Calls

15 calls:

Time	Variable		Point	Expression
794.0ms	x	@	-inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
776.0ms	x	@	inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
434.0ms	x	@	inf	(*.f64 (cos.f64 y) (sqrt.f64 x))
428.0ms	x	@	-inf	(*.f64 (cos.f64 y) (sqrt.f64 x))
368.0ms	x	@	0	(*.f64 (cos.f64 y) (sqrt.f64 x))

Compiler

Compiled 257893 to 189515 computations (26.5% saved)

rewrite51.0ms (0.2%)

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

Outputs

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

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

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

601×	`times-frac_binary64`
475×	`fma-def_binary64`
376×	`unswap-sqr_binary64`
323×	`associate-/l*_binary64`
310×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1085
1	336	859
2	1248	846
3	4149	820

Stop Event

1×	node limit

Counts

71 → 76

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
✓	0.3b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
✓	0.5b	(pow.f64 (cbrt.f64 z) 2)
✓	0.6b	(cbrt.f64 z)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series5.8s (18.8%)

Counts

4 → 39

Calls

21 calls:

Time	Variable		Point	Expression
717.0ms	z	@	-inf	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
690.0ms	z	@	-inf	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
619.0ms	z	@	-inf	(pow.f64 (cbrt.f64 z) 2)
534.0ms	z	@	inf	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
526.0ms	z	@	inf	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))

Compiler

Compiled 491233 to 394252 computations (19.7% saved)

rewrite63.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log-prod_binary64`
409×	`exp-prod_binary64`
355×	`pow-prod-down_binary64`
291×	`pow2_binary64`
231×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	238	34
2	2697	32

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z z) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 z) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 z))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 z)))) (sqrt.f64 (log.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 z) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 z) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 z)) 1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 z) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z 1/6) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 5) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 z) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 z) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 z) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 z)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 z)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))))) (sqrt.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 y) z) 1) (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 (sin.f64 y)) z) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1) 1))))))

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

432×	`log-prod_binary64`
428×	`exp-prod_binary64`
289×	`fma-neg_binary64`
232×	`associate-+r+_binary64`
229×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	2346
1	768	1727
2	2561	1713
3	6926	1713

Stop Event

1×	node limit

Counts

165 → 177

Calls

Call 1

Inputs
(*.f64 y (pow.f64 (pow.f64 z 1/3) 2))
(+.f64 (.f64 y (pow.f64 (pow.f64 z 1/3) 2)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (pow.f64 (pow.f64 z 1/3) 2))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 y (pow.f64 (pow.f64 z 1/3) 2)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (pow.f64 (pow.f64 z 1/3) 2)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 y (pow.f64 (pow.f64 z 1/3) 2)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (pow.f64 (pow.f64 z 1/3) 2))))))
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))
x
(+.f64 (.f64 y (.f64 (pow.f64 z 1/3) (pow.f64 (pow.f64 z 1/3) 2))) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 y (.f64 (pow.f64 z 1/3) (pow.f64 (pow.f64 z 1/3) 2))) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 1/3) (pow.f64 (pow.f64 z 1/3) 2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 y (*.f64 (pow.f64 z 1/3) (pow.f64 (pow.f64 z 1/3) 2))) x)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (*.f64 (pow.f64 z 1/3) (sin.f64 y))))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (*.f64 (pow.f64 z 1/3) (sin.f64 y))))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (*.f64 (pow.f64 z 1/3) (sin.f64 y))))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (*.f64 (pow.f64 z 1/3) (sin.f64 y))))
(+.f64 (.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (pow.f64 z 1/3) 2) (.f64 (pow.f64 z 1/3) (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (*.f64 (pow.f64 z 1/3) (sin.f64 y))))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (*.f64 (pow.f64 z 1/3) (sin.f64 y))))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (*.f64 (pow.f64 z 1/3) (sin.f64 y))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (.f64 (pow.f64 z 1/3) (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (.f64 (pow.f64 z 1/3) (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (.f64 (pow.f64 z 1/3) (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (.f64 (pow.f64 z 1/3) (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (.f64 (pow.f64 z 1/3) (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (.f64 (pow.f64 z 1/3) (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 0 (cbrt.f64 z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)
(*.f64 (cbrt.f64 z) 1)
(*.f64 1 (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))
(pow.f64 z 1/3)
(pow.f64 (cbrt.f64 z) 1)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)
(pow.f64 (*.f64 z z) 1/6)
(pow.f64 (pow.f64 z 3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(pow.f64 (sqrt.f64 z) 2/3)
(pow.f64 (pow.f64 z 1/6) 2)
(pow.f64 (exp.f64 1/3) (log.f64 z))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 z))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 z)))) (sqrt.f64 (log.f64 (cbrt.f64 z))))
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(fabs.f64 (cbrt.f64 z))
(log.f64 (exp.f64 (cbrt.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(exp.f64 (log.f64 (cbrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 z)) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 z))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 z)) 2))
(exp.f64 (.f64 (.f64 (log.f64 z) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 z) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 z)) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 z)) 1) 1/2))
(+.f64 0 (pow.f64 (cbrt.f64 z) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(*.f64 (pow.f64 z 1/6) (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 5) (cbrt.f64 (cbrt.f64 z)))
(sqrt.f64 (*.f64 z (cbrt.f64 z)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 z) 2))))
(cbrt.f64 (*.f64 z z))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(exp.f64 (*.f64 2/3 (log.f64 z)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 z)) 1))
(exp.f64 (*.f64 (log.f64 z) 2/3))
(exp.f64 (.f64 (.f64 2 (log.f64 z)) 1/3))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 z))) 3))
(exp.f64 (.f64 (.f64 (log.f64 z) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 z) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 z)) 1) 2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 z)) 1) 1))
(+.f64 0 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 4) 1/2)
(pow.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 3)
(pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 2)
(pow.f64 (exp.f64 1) (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))))) (sqrt.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 4))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))))
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))
(exp.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 3))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y)))) 2))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 (cbrt.f64 z)) (log.f64 (sin.f64 y))) 1) 1))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(+.f64 0 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(+.f64 (.f64 (.f64 (sin.f64 y) z) 1) (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) 1)
(.f64 1 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 (sin.f64 y)) z)))
(log.f64 (.f64 (pow.f64 (exp.f64 (sin.f64 y)) z) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1) 1))

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

eval187.0ms (0.6%)

Compiler: Compiled 11182 to 4274 computations (61.8% saved)

prune151.0ms (0.5%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	622	12	634
Fresh	5	7	12
Picked	1	0	1
Done	2	3	5
Total	630	22	652

Error

0.0b

Counts

652 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) (.f64 x (cos.f64 y)))
	32.1b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
	16.1b	(fma.f64 (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
✓	33.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
▶	33.7b	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	14.4b	(fma.f64 (.f64 x (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.2b	(fma.f64 (.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	0.6b	(fma.f64 (.f64 x (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	30.7b	(fma.f64 z y x)
▶	1.4b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 3)
	27.1b	(/.f64 1 (/.f64 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
	33.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
✓	30.7b	(+.f64 (*.f64 y z) x)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	35.3b	(+.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	44.6b	(*.f64 (pow.f64 (sqrt.f64 x) 2) (cos.f64 y))
	38.3b	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (sin.f64 y) (cbrt.f64 z)))
	24.8b	(*.f64 (cos.f64 y) x)
	37.9b	(*.f64 z (sin.f64 y))
▶	54.2b	(*.f64 y z)
	37.8b	x

Compiler

Compiled 567 to 379 computations (33.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 4))
	0.4b	(cbrt.f64 (cos.f64 y))
✓	0.4b	(pow.f64 (cos.f64 y) 4)

Compiler

Compiled 57 to 28 computations (50.9% saved)

series41.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	(pow.f64 (cos.f64 y) 4)
4.0ms	x	@	0	(*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
4.0ms	x	@	-inf	(*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
3.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 4))
3.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 4))

Compiler

Compiled 912 to 776 computations (14.9% saved)

rewrite50.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
691×	`add-log-exp_binary64`
691×	`log1p-expm1-u_binary64`
691×	`expm1-log1p-u_binary64`
671×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	181	25
2	2025	25

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs
(pow.f64 (cos.f64 y) 4)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))

Outputs

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

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

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

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-def_binary64`
473×	`log-prod_binary64`
434×	`exp-sum_binary64`
316×	`fma-neg_binary64`
284×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1214
1	351	1170
2	1076	1104
3	2852	1099
4	6571	1099

Stop Event

1×	node limit

Counts

101 → 121

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -2 (pow.f64 y 2)))
(+.f64 (.f64 5/3 (pow.f64 y 4)) (+.f64 1 (.f64 -2 (pow.f64 y 2))))
(+.f64 (.f64 -34/45 (pow.f64 y 6)) (+.f64 (.f64 5/3 (pow.f64 y 4)) (+.f64 1 (*.f64 -2 (pow.f64 y 2)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
1
(+.f64 1 (*.f64 -2/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -2/3 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -2/3 (pow.f64 y 2)) (+.f64 (.f64 1/9 (pow.f64 y 4)) (*.f64 -2/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
x
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) x)) x)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) 1/3)) x)
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 4)) 1)
(*.f64 (pow.f64 (cos.f64 y) 4) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (pow.f64 (cos.f64 y) 8)))
(*.f64 1 (pow.f64 (cos.f64 y) 4))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8)) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 4) (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 4) (pow.f64 (sqrt.f64 (cos.f64 y)) 4))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8)) 1) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(sqrt.f64 (pow.f64 (cos.f64 y) 8))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 4)))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 4)))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 4)))
(exp.f64 (*.f64 4 (log.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cos.f64 y) 4/3)
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(-.f64 (+.f64 1 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 2)
(sqrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))

Outputs
1
(+.f64 1 (*.f64 -2 (pow.f64 y 2)))
(+.f64 1 (.f64 -2 (.f64 y y)))
(fma.f64 -2 (*.f64 y y) 1)
(+.f64 (.f64 5/3 (pow.f64 y 4)) (+.f64 1 (.f64 -2 (pow.f64 y 2))))
(fma.f64 5/3 (pow.f64 y 4) (+.f64 1 (.f64 -2 (.f64 y y))))
(fma.f64 5/3 (pow.f64 y 4) (fma.f64 -2 (*.f64 y y) 1))
(fma.f64 -2 (*.f64 y y) (fma.f64 5/3 (pow.f64 y 4) 1))
(+.f64 (.f64 -34/45 (pow.f64 y 6)) (+.f64 (.f64 5/3 (pow.f64 y 4)) (+.f64 1 (*.f64 -2 (pow.f64 y 2)))))
(fma.f64 -34/45 (pow.f64 y 6) (fma.f64 5/3 (pow.f64 y 4) (+.f64 1 (.f64 -2 (.f64 y y)))))
(fma.f64 -34/45 (pow.f64 y 6) (fma.f64 5/3 (pow.f64 y 4) (fma.f64 -2 (*.f64 y y) 1)))
(fma.f64 5/3 (pow.f64 y 4) (fma.f64 -34/45 (pow.f64 y 6) (fma.f64 -2 (*.f64 y y) 1)))
(fma.f64 -2 (*.f64 y y) (fma.f64 -34/45 (pow.f64 y 6) (fma.f64 5/3 (pow.f64 y 4) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (cos.f64 y) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (cos.f64 y) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (cos.f64 y) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (cos.f64 y) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (cos.f64 y) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (cos.f64 y) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (cos.f64 y) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 2)
(pow.f64 (cos.f64 y) 4)
1
(+.f64 1 (*.f64 -2/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -2/3))
(fma.f64 (*.f64 y y) -2/3 1)
(fma.f64 y (*.f64 y -2/3) 1)
(+.f64 1 (+.f64 (.f64 -2/3 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -2/3 (.f64 y y) (.f64 (pow.f64 y 4) 1/9)))
(+.f64 1 (fma.f64 (.f64 y y) -2/3 (.f64 (pow.f64 y 4) 1/9)))
(fma.f64 y (*.f64 y -2/3) (fma.f64 (pow.f64 y 4) 1/9 1))
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(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 4)
(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 4)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 4)
(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8)) 1/2)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8)))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 4)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 8)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 4)
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 4)
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 4)
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 4)
(-.f64 (+.f64 1 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 3)
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 2)
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(sqrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(fabs.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 4) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/6) (fabs.f64 x))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 3))
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(exp.f64 (log.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(+.f64 1 (-.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))

localize3.0ms (0%)

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

localize49.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 (sqrt.f64 x) 2) (cos.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 x) 2)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.1s (13.4%)

Counts

2 → 4

Calls

9 calls:

Time	Variable		Point	Expression
750.0ms	x	@	0	(pow.f64 (sqrt.f64 x) 2)
711.0ms	x	@	-inf	(*.f64 (pow.f64 (sqrt.f64 x) 2) (cos.f64 y))
710.0ms	x	@	inf	(*.f64 (pow.f64 (sqrt.f64 x) 2) (cos.f64 y))
665.0ms	x	@	inf	(pow.f64 (sqrt.f64 x) 2)
657.0ms	x	@	0	(*.f64 (pow.f64 (sqrt.f64 x) 2) (cos.f64 y))

Compiler

Compiled 271351 to 221580 computations (18.3% saved)

rewrite42.0ms (0.1%)

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	7
1	163	7
2	1579	7

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

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

simplify37.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

697×	`distribute-rgt-in_binary64`
681×	`distribute-lft-in_binary64`
556×	`associate-l_binary64`
526×	`log-prod_binary64`
488×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	246
1	199	211
2	640	175
3	3539	174

Stop Event

1×	node limit

Counts

31 → 49

Calls

Call 1

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

Outputs
(pow.f64 (sqrt.f64 x) 2)
x
(+.f64 (pow.f64 (sqrt.f64 x) 2) (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 x) 2) (pow.f64 y 2))))
(+.f64 x (.f64 (.f64 -1/2 x) (*.f64 y y)))
(fma.f64 (.f64 x -1/2) (.f64 y y) x)
(fma.f64 x (.f64 -1/2 (.f64 y y)) x)
(+.f64 (pow.f64 (sqrt.f64 x) 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 (sqrt.f64 x) 2) (pow.f64 y 4))) (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 x) 2) (pow.f64 y 2)))))
(+.f64 x (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (.f64 (.f64 -1/2 x) (.f64 y y))))
(+.f64 x (fma.f64 -1/2 (.f64 x (.f64 y y)) (.f64 x (.f64 (pow.f64 y 4) 1/24))))
(fma.f64 x (.f64 1/24 (pow.f64 y 4)) (fma.f64 x (.f64 -1/2 (*.f64 y y)) x))
(fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 x (*.f64 1/24 (pow.f64 y 4)) x))
(+.f64 (pow.f64 (sqrt.f64 x) 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 (sqrt.f64 x) 2) (pow.f64 y 4))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 (sqrt.f64 x) 2) (pow.f64 y 6))) (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 x) 2) (pow.f64 y 2))))))
(+.f64 x (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (.f64 (.f64 -1/2 x) (*.f64 y y)))))
(+.f64 x (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (.f64 y y)) (.f64 -1/720 (*.f64 x (pow.f64 y 6))))))
(+.f64 (.f64 x (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 -1/720 (pow.f64 y 6)))) (fma.f64 x (*.f64 1/24 (pow.f64 y 4)) x))
(.f64 x (+.f64 (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 -1/720 (pow.f64 y 6))) (+.f64 1 (*.f64 1/24 (pow.f64 y 4)))))
(-.f64 (+.f64 1 x) 1)
x
(*.f64 x 1)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 1 x)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (cbrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 x)))
x
(.f64 (.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (pow.f64 x 1/4))
x
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (cbrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(+.f64 1 (-.f64 (*.f64 x (cos.f64 y)) 1))
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 12 computations (76% saved)

series4.3s (14.1%)

Counts

3 → 44

Calls

24 calls:

Time	Variable		Point	Expression
891.0ms	z	@	inf	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 3)
811.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 3)
790.0ms	x	@	inf	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 3)
786.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 3)
240.0ms	x	@	-inf	(cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))

Compiler

Compiled 364739 to 284442 computations (22% saved)

rewrite96.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`log-prod_binary64`
386×	`pow-prod-down_binary64`
335×	`fma-def_binary64`
297×	`pow2_binary64`
208×	`pow-to-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	254	32
2	2981	32

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

Outputs

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y) x) 2) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/6) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2))) (cbrt.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (cbrt.f64 (fma.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 1) 1))))))

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

simplify178.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

430×	`associate-r_binary64`
358×	`associate-l_binary64`
347×	`fma-def_binary64`
283×	`*-commutative_binary64`
266×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	573	4294972803
1	1696	4966
2	6790	4905

Stop Event

1×	node limit

Counts

178 → 248

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) (pow.f64 (.f64 (cos.f64 y) x) 1/3)) (.f64 z (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3))) (.f64 1/3 (/.f64 (.f64 (sin.f64 y) (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3))))))
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) (pow.f64 (.f64 (cos.f64 y) x) 1/3)) (+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2))) (.f64 1/9 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2))))) (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 (cos.f64 y) x) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2))) (.f64 -1/9 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 (cos.f64 y) x) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2)))))) (.f64 z (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3))) (.f64 1/3 (/.f64 (.f64 (sin.f64 y) (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2)) (pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/3) 2) 1/3)))))))
(+.f64 (.f64 (+.f64 (.f64 -2/27 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2)))) (+.f64 (.f64 (+.f64 (.f64 -2/27 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sin.f64 y) (pow.f64 (.f64 (cos.f64 y) x) 1/3))) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2) (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2))))) (.f64 -2/3 (/.f64 (.f64 (+.f64 (.f64 1/27 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 3))) (.f64 -2/9 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2))))) (pow.f64 (.f64 (cos.f64 y) x) 1/3)) (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2)))) (pow.f64 (.f64 (cos.f64 y) x) 1/3)) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/27 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 3))) (.f64 -2/9 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2)))))) (.f64 1/3 (/.f64 (.f64 (sin.f64 y) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2))) (.f64 1/9 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2))))) (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3)))))) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) (pow.f64 (.f64 (cos.f64 y) x) 1/3)) (+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2))) (.f64 1/9 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2))))) (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 (cos.f64 y) x) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2))) (.f64 -1/9 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 (cos.f64 y) x) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3) 2)))))) (.f64 z (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3))) (.f64 1/3 (/.f64 (.f64 (sin.f64 y) (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3))))))))
(*.f64 (pow.f64 x 1/3) (pow.f64 (pow.f64 x 1/3) 2))
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x
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(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 0 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
(.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) 1)
(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2))
(.f64 1 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2)))
(.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 5/6))
(.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (/.f64 1 (fma.f64 (.f64 (cos.f64 y) x) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2)) (/.f64 1 (-.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) 5/6) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2) 1) (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (cos.f64 y) x) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 2)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 (cos.f64 y) x) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 z (.f64 (sin.f64 y) (*.f64 (cos.f64 y) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))) (neg.f64 (fma.f64 (.f64 (cos.f64 y) x) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2))) (neg.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (pow.f64 (exp.f64 (cos.f64 y)) x)))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 (cos.f64 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 y) x))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 (cos.f64 y)) x) (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 y) x))) (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(exp.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 1/3))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 3/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 3/2) 2))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (.f64 z (sin.f64 y)) 1 (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) x) 1 (.f64 z (sin.f64 y)))
(fma.f64 1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 1 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 (cos.f64 y) x))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 (cos.f64 y) x))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (cos.f64 y) x))
(+.f64 0 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) 1)
(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 1)
(.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/6))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2))) (cbrt.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))) (cbrt.f64 (fma.f64 (.f64 (cos.f64 y) x) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 2))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 2) 1/6)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 2) 3/2)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2/3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) 1/6)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 1) 1))
(+.f64 0 (*.f64 (cos.f64 y) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 y) x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 y) x)) 3) 1/3))

Outputs
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) (pow.f64 (.f64 (cos.f64 y) x) 1/3)) (.f64 z (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3))) (.f64 1/3 (/.f64 (.f64 (sin.f64 y) (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) 2) 1/3))))))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (fma.f64 2/3 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2)) (sin.f64 y))) (/.f64 (.f64 1/3 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (sin.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2))))))
(fma.f64 z (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2))) (sin.f64 y)) 1) (*.f64 (cos.f64 y) x))
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(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (cos.f64 y) x))
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(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 1/3 (/.f64 (.f64 y z) (pow.f64 (pow.f64 (pow.f64 x 1/3) 2) 1/3))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) 1)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 1)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 2))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) 1/6) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/6))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2))) (cbrt.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3))) (cbrt.f64 (fma.f64 (.f64 (cos.f64 y) x) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 2))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 2) 1/6)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) 1/6)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 3) 1/9)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) 1/2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
(fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 2) 3/2)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2/3)
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1/6) 2)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
(fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 1/3))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) 1))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))) 3))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) 1/6)) 2))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))) 3/2))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1) 1/3))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1/3) 1))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 1) 1))
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(+.f64 0 (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(fabs.f64 (*.f64 (cos.f64 y) x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(fabs.f64 (*.f64 (cos.f64 y) x))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 y) x))) 3))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) 2))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 y) x))) 1/3))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1) 1))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 y) x)) 3) 1/3))
(*.f64 (cos.f64 y) x)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series1.2s (3.7%)

Counts

3 → 53

Calls

18 calls:

Time	Variable		Point	Expression
409.0ms	y	@	0	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
354.0ms	y	@	0	(*.f64 z (sqrt.f64 (sin.f64 y)))
351.0ms	y	@	0	(sqrt.f64 (sin.f64 y))
14.0ms	z	@	-inf	(*.f64 z (sqrt.f64 (sin.f64 y)))
3.0ms	x	@	-inf	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))

Compiler

Compiled 102346 to 79397 computations (22.4% saved)

rewrite51.0ms (0.2%)

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

Outputs

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

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

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

555×	`unswap-sqr_binary64`
464×	`log-prod_binary64`
379×	`fma-neg_binary64`
356×	`fma-def_binary64`
270×	`exp-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1419
1	304	1116
2	1201	1053
3	5228	1017

Stop Event

1×	node limit

Counts

107 → 75

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 (cos.f64 y) x))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 (cos.f64 y) x))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 (cos.f64 y) x))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 (cos.f64 y) x))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 (cos.f64 y) x))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 (cos.f64 y) x))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 (cos.f64 y) x))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 (cos.f64 y) x))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)) (.f64 (cos.f64 y) x))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
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x
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(.f64 (sqrt.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (sqrt.f64 (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
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(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (fma.f64 (.f64 (sin.f64 y) z) (.f64 (sin.f64 y) z) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)))))
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(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
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(/.f64 (-.f64 (.f64 (sin.f64 y) (.f64 (sin.f64 y) (.f64 z z))) (pow.f64 (.f64 (cos.f64 y) x) 2)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
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(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
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(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
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(log.f64 (exp.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
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(cbrt.f64 (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
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(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
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(exp.f64 (log.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(-.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) 1)
(+.f64 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
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(sqrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
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(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
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(sqrt.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
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(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(+.f64 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))

eval244.0ms (0.8%)

Compiler: Compiled 17554 to 8022 computations (54.3% saved)

prune146.0ms (0.5%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	635	15	650
Fresh	5	9	14
Picked	1	0	1
Done	2	5	7
Total	643	29	672

Error

0.0b

Counts

672 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) (.f64 x (cos.f64 y)))
	32.1b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (cos.f64 y) x))
	16.1b	(fma.f64 (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
	14.4b	(fma.f64 (.f64 x (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.2b	(fma.f64 (.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	30.7b	(fma.f64 z y x)
	45.6b	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
	1.5b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3))) 3)
	38.3b	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
	27.1b	(/.f64 1 (/.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2))))
▶	33.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	0.6b	(+.f64 (.f64 (cos.f64 y) x) (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
▶	0.4b	(+.f64 (.f64 z (sin.f64 y)) (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
✓	30.7b	(+.f64 (*.f64 y z) x)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	40.1b	(+.f64 x (.f64 (.f64 -1/2 x) (*.f64 y y)))
	1.8b	(.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
✓	44.6b	(*.f64 (pow.f64 (sqrt.f64 x) 2) (cos.f64 y))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2)))
	38.3b	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (sin.f64 y) (cbrt.f64 z)))
	44.6b	(.f64 (.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x))) (cos.f64 y))
	44.7b	(.f64 (.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (cos.f64 y))
	37.9b	(*.f64 (sin.f64 y) z)
	24.8b	(*.f64 (cos.f64 y) x)
▶	51.0b	(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
✓	54.2b	(*.f64 y z)
	47.0b	(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
	37.8b	x

Compiler

Compiled 791 to 499 computations (36.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series23.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

Compiler

Compiled 779 to 611 computations (21.6% saved)

rewrite45.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`pow1_binary64`
592×	`add-log-exp_binary64`
592×	`log1p-expm1-u_binary64`
592×	`expm1-log1p-u_binary64`
577×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	166	9
2	1658	9

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-def_binary64`
478×	`log-prod_binary64`
439×	`associate-+l+_binary64`
389×	`associate-+r+_binary64`
372×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	681
1	236	382
2	728	373
3	2580	371

Stop Event

1×	node limit

Counts

67 → 63

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 -1/2 x) (*.f64 y y)))
✓	8.3b	(.f64 (.f64 -1/2 x) (*.f64 y y))

Compiler

Compiled 28 to 14 computations (50% saved)

series26.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+.f64 x (.f64 (.f64 -1/2 x) (*.f64 y y)))
2.0ms	x	@	0	(.f64 (.f64 -1/2 x) (*.f64 y y))
2.0ms	y	@	inf	(.f64 (.f64 -1/2 x) (*.f64 y y))
2.0ms	y	@	0	(.f64 (.f64 -1/2 x) (*.f64 y y))
2.0ms	x	@	inf	(.f64 (.f64 -1/2 x) (*.f64 y y))

Compiler

Compiled 1802 to 1492 computations (17.2% saved)

rewrite50.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`pow1_binary64`
854×	`add-log-exp_binary64`
854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	174	21
2	2368	21

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

580×	`log-prod_binary64`
570×	`fma-def_binary64`
532×	`times-frac_binary64`
415×	`unswap-sqr_binary64`
289×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	1469
1	344	1366
2	1317	1314
3	7448	1314

Stop Event

1×	node limit

Counts

96 → 73

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 11 computations (52.2% saved)

series1.4s (4.6%)

Counts

2 → 0

Calls

9 calls:

Time	Variable		Point	Expression
709.0ms	y	@	0	(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
696.0ms	y	@	0	(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
4.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
2.0ms	z	@	0	(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
2.0ms	y	@	inf	(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))

Compiler

Compiled 103716 to 86772 computations (16.3% saved)

rewrite41.0ms (0.1%)

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	9
1	163	9
2	1578	9

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

simplify44.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

598×	`distribute-rgt-in_binary64`
588×	`distribute-lft-in_binary64`
509×	`log-prod_binary64`
372×	`*-commutative_binary64`
360×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	309
1	136	231
2	414	153
3	2381	153
4	7904	153

Stop Event

1×	node limit

Counts

28 → 35

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 14 computations (67.4% saved)

series3.9s (12.8%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
906.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
904.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
861.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
429.0ms	x	@	0	(sqrt.f64 (*.f64 x (cos.f64 y)))
411.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (cos.f64 y)))

Compiler

Compiled 338990 to 227106 computations (33% saved)

rewrite45.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
565×	`add-log-exp_binary64`
565×	`log1p-expm1-u_binary64`
565×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	163	14
2	1592	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

453×	`unswap-sqr_binary64`
363×	`fma-def_binary64`
313×	`fma-neg_binary64`
283×	`log-prod_binary64`
235×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	809
1	372	760
2	1222	686
3	5050	657

Stop Event

1×	node limit

Counts

74 → 88

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 x) 2)
(+.f64 (pow.f64 (sqrt.f64 x) 2) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (sqrt.f64 x) 2) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 x) 2))) (.f64 1/24 x)) (pow.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 x))) 2)) (pow.f64 y 4)) (.f64 -1/2 (.f64 (pow.f64 y 2) x))))
(+.f64 (pow.f64 (sqrt.f64 x) 2) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 x) 2))) (.f64 1/24 x)) (pow.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 x))) 2)) (pow.f64 y 4)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) x) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 x))) 2)) (pow.f64 y 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) x) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 x))) 2)) (pow.f64 y 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) x) (sqrt.f64 x))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/720 x) (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (/.f64 x (sqrt.f64 x))) 2)) x) (pow.f64 (sqrt.f64 x) 2)))) (pow.f64 y 6)) (sqrt.f64 x))) (sqrt.f64 x))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (cos.f64 y)) 1)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 1 (.f64 x (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(.f64 (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 1/4)) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1)
(.f64 1 (sqrt.f64 (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x (cos.f64 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1/2))
(pow.f64 (*.f64 x (cos.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))

Outputs
(pow.f64 (sqrt.f64 x) 2)
x
(+.f64 (pow.f64 (sqrt.f64 x) 2) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (sqrt.f64 x) 2) (.f64 -1/2 (.f64 x (*.f64 y y))))
(fma.f64 -1/2 (.f64 (.f64 x y) y) x)
(fma.f64 x (.f64 -1/2 (.f64 y y)) x)
(fma.f64 (.f64 y y) (.f64 x -1/2) x)
(+.f64 (pow.f64 (sqrt.f64 x) 2) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 x) 2))) (.f64 1/24 x)) (pow.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 x))) 2)) (pow.f64 y 4)) (.f64 -1/2 (.f64 (pow.f64 y 2) x))))
(+.f64 (pow.f64 (sqrt.f64 x) 2) (fma.f64 (-.f64 (fma.f64 1/16 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 x) 2)) (.f64 x 1/24)) (pow.f64 (/.f64 (.f64 -1/4 x) (sqrt.f64 x)) 2)) (pow.f64 y 4) (.f64 -1/2 (.f64 x (.f64 y y)))))
(+.f64 x (fma.f64 (-.f64 (fma.f64 1/16 (/.f64 x (/.f64 x x)) (.f64 x 1/24)) (.f64 1/16 (/.f64 x (/.f64 x x)))) (pow.f64 y 4) (.f64 x (.f64 -1/2 (*.f64 y y)))))
(fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 (fma.f64 x 1/24 0) (pow.f64 y 4) x))
(fma.f64 (.f64 x 1/24) (pow.f64 y 4) (fma.f64 (.f64 y y) (*.f64 x -1/2) x))
(+.f64 (pow.f64 (sqrt.f64 x) 2) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 x) 2))) (.f64 1/24 x)) (pow.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 x))) 2)) (pow.f64 y 4)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))))
(+.f64 (pow.f64 (sqrt.f64 x) 2) (fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 (-.f64 (fma.f64 1/16 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 x) 2)) (.f64 x 1/24)) (pow.f64 (/.f64 (.f64 -1/4 x) (sqrt.f64 x)) 2)) (pow.f64 y 4) (.f64 -1/2 (.f64 x (*.f64 y y))))))
(+.f64 x (fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 (-.f64 (fma.f64 1/16 (/.f64 x (/.f64 x x)) (.f64 x 1/24)) (.f64 1/16 (/.f64 x (/.f64 x x)))) (pow.f64 y 4) (.f64 x (.f64 -1/2 (.f64 y y))))))
(fma.f64 x (.f64 -1/720 (pow.f64 y 6)) (fma.f64 x (.f64 -1/2 (*.f64 y y)) (fma.f64 (fma.f64 x 1/24 0) (pow.f64 y 4) x)))
(fma.f64 x (.f64 -1/720 (pow.f64 y 6)) (fma.f64 (.f64 x 1/24) (pow.f64 y 4) (fma.f64 (.f64 y y) (.f64 x -1/2) x)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) x) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/4 (/.f64 (.f64 x (.f64 y y)) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 y y) (sqrt.f64 x)) x) (sqrt.f64 x))
(fma.f64 -1/4 (.f64 x (/.f64 (.f64 y y) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/4 (.f64 (sqrt.f64 x) (.f64 y y)) (sqrt.f64 x))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 x))) 2)) (pow.f64 y 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) x) (sqrt.f64 x))) (sqrt.f64 x)))
(fma.f64 1/2 (/.f64 (-.f64 (.f64 x 1/24) (pow.f64 (/.f64 (.f64 -1/4 x) (sqrt.f64 x)) 2)) (/.f64 (sqrt.f64 x) (pow.f64 y 4))) (fma.f64 -1/4 (/.f64 (.f64 x (.f64 y y)) (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 1/2 (/.f64 (-.f64 (.f64 x 1/24) (.f64 1/16 (/.f64 x (/.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 y 4))) (fma.f64 -1/4 (.f64 (/.f64 (.f64 y y) (sqrt.f64 x)) x) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 x (/.f64 (.f64 y y) (sqrt.f64 x))) (fma.f64 1/2 (.f64 (pow.f64 y 4) (/.f64 (fma.f64 x 1/24 (.f64 x -1/16)) (sqrt.f64 x))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/2 (.f64 (pow.f64 y 4) (/.f64 (.f64 x -1/48) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 x))) 2)) (pow.f64 y 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) x) (sqrt.f64 x))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/720 x) (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (/.f64 x (sqrt.f64 x))) 2)) x) (pow.f64 (sqrt.f64 x) 2)))) (pow.f64 y 6)) (sqrt.f64 x))) (sqrt.f64 x))))
(fma.f64 1/2 (/.f64 (-.f64 (.f64 x 1/24) (pow.f64 (/.f64 (.f64 -1/4 x) (sqrt.f64 x)) 2)) (/.f64 (sqrt.f64 x) (pow.f64 y 4))) (fma.f64 -1/4 (/.f64 (.f64 x (.f64 y y)) (sqrt.f64 x)) (fma.f64 1/2 (/.f64 (+.f64 (.f64 x -1/720) (.f64 1/4 (/.f64 (-.f64 (.f64 x 1/24) (pow.f64 (/.f64 (.f64 -1/4 x) (sqrt.f64 x)) 2)) (/.f64 (pow.f64 (sqrt.f64 x) 2) x)))) (/.f64 (sqrt.f64 x) (pow.f64 y 6))) (sqrt.f64 x))))
(fma.f64 1/2 (/.f64 (-.f64 (.f64 x 1/24) (.f64 1/16 (/.f64 x (/.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 y 4))) (fma.f64 -1/4 (.f64 (/.f64 (.f64 y y) (sqrt.f64 x)) x) (fma.f64 1/2 (/.f64 (pow.f64 y 6) (/.f64 (sqrt.f64 x) (fma.f64 x -1/720 (.f64 (/.f64 x (/.f64 x (-.f64 (.f64 x 1/24) (*.f64 1/16 (/.f64 x (/.f64 x x)))))) 1/4)))) (sqrt.f64 x))))
(fma.f64 -1/4 (.f64 x (/.f64 (.f64 y y) (sqrt.f64 x))) (fma.f64 1/2 (.f64 (pow.f64 y 4) (/.f64 (fma.f64 x 1/24 (.f64 x -1/16)) (sqrt.f64 x))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 y 6) (sqrt.f64 x)) (-.f64 (.f64 x -1/720) (/.f64 (fma.f64 x 1/24 (*.f64 x -1/16)) -4))) (sqrt.f64 x))))
(+.f64 (fma.f64 -1/4 (.f64 (sqrt.f64 x) (.f64 y y)) (sqrt.f64 x)) (.f64 (/.f64 1/2 (sqrt.f64 x)) (+.f64 (.f64 (pow.f64 y 6) (fma.f64 x -1/720 (.f64 (.f64 x -1/48) 1/4))) (.f64 (pow.f64 y 4) (.f64 x -1/48)))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (cos.f64 y)) 1)
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 1/4)) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 1)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 1 (sqrt.f64 (.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1/2))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 x (cos.f64 y)) 1/2)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 3)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) 2)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series32.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
3.0ms	y	@	0	(sqrt.f64 (cos.f64 y))
2.0ms	y	@	inf	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	y	@	0	(*.f64 x (sqrt.f64 (cos.f64 y)))
2.0ms	y	@	-inf	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 1168 to 900 computations (22.9% saved)

rewrite52.0ms (0.2%)

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

Outputs

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

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

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

590×	`fma-def_binary64`
563×	`unswap-sqr_binary64`
464×	`log-prod_binary64`
379×	`fma-neg_binary64`
270×	`exp-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	1578
1	414	1272
2	1507	1200
3	5900	1188

Stop Event

1×	node limit

Counts

118 → 113

Calls

Call 1

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

eval174.0ms (0.6%)

Compiler: Compiled 11400 to 4724 computations (58.6% saved)

prune141.0ms (0.5%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	646	14	660
Fresh	8	11	19
Picked	1	0	1
Done	4	5	9
Total	659	30	689

Error

Counts

689 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) (.f64 x (cos.f64 y)))
	30.7b	(fma.f64 z y x)
	1.5b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3))) 3)
	38.3b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
✓	33.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	39.4b	(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3/2)) 2) (.f64 z (sin.f64 y)))
	33.2b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
	0.6b	(+.f64 (.f64 (cos.f64 y) x) (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
	0.2b	(+.f64 (.f64 z (sin.f64 y)) (.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1)))
	0.1b	(+.f64 (.f64 z (sin.f64 y)) (.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))))
	0.2b	(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
✓	30.7b	(+.f64 (*.f64 y z) x)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	40.2b	(+.f64 x (-.f64 (+.f64 1 (.f64 (.f64 (*.f64 y y) -1/2) x)) 1))
✓	40.1b	(+.f64 x (.f64 (.f64 -1/2 x) (*.f64 y y)))
	40.0b	(+.f64 x (.f64 y (.f64 y (*.f64 -1/2 x))))
	1.8b	(.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
	30.6b	(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 2) x)
	1.7b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2)))
	38.3b	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (sin.f64 y) (cbrt.f64 z)))
	37.9b	(*.f64 (sin.f64 y) z)
	24.8b	(*.f64 (cos.f64 y) x)
	45.3b	(*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1))
	37.9b	(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
	45.4b	(*.f64 z (log.f64 (exp.f64 (sin.f64 y))))
	37.9b	(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))
	42.2b	(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3)))
✓	54.2b	(*.f64 y z)
	47.0b	(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
	37.8b	x

Compiler

Compiled 401 to 266 computations (33.7% saved)

regimes118.0ms (0.4%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
26.0ms	x
25.0ms	z
24.0ms	y

Results

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

Compiler

Compiled 692 to 250 computations (63.9% saved)

regimes76.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	y
22.0ms	x
22.0ms	z

Results

Error	Segments	Branch
7.2b	3	`x`
10.1b	4	`y`
7.1b	3	`z`

Compiler

Compiled 97 to 47 computations (51.5% saved)

bsearch82.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	9.882789330391239e-83	2.5597279461519703e-77
41.0ms	-2.746116854912863e-49	-2.0932196647416086e-54

Results

39.0ms	86×	body	1024	valid
28.0ms	166×	body	256	valid
10.0ms	35×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes123.0ms (0.4%)

Counts

11 → 9

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	z
36.0ms	x
30.0ms	y

Results

Error	Segments	Branch
13.3b	5	`x`
11.2b	5	`y`
11.2b	9	`z`

Compiler

Compiled 75 to 39 computations (48% saved)

bsearch253.0ms (0.8%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
34.0ms	1.0320190436123988e+189	1.7624802837630254e+193
38.0ms	7.266274041986495e+147	1.2660493489043497e+153
37.0ms	8.044793878156357e+126	1.980518491885714e+130
32.0ms	1.2367901634640969e+122	1.0821002624354625e+124
28.0ms	1.3343980466546453e+111	9.216405552542221e+111
32.0ms	-3.0844967116570647e+97	-1.4906077844388368e+95
38.0ms	-2.784487020553269e+191	-8.037204031617304e+186
14.0ms	-2.2721934532230194e+217	-1.8138213738370814e+217

Results

112.0ms	242×	body	1024	valid
89.0ms	522×	body	256	valid
40.0ms	129×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 925 to 685 computations (25.9% saved)

regimes83.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	x
27.0ms	z
18.0ms	y

Results

Error	Segments	Branch
22.1b	8	`x`
15.3b	3	`y`
23.7b	5	`z`

Compiler

Compiled 59 to 34 computations (42.4% saved)

bsearch57.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.011147630301063862	3243.7591855535866
30.0ms	-901.760773367421	-1.0491666815934236e-10

Results

51.0ms

304×

body

256

valid

Compiler

Compiled 341 to 241 computations (29.3% saved)

regimes17.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
30.7b	1	`x`
30.7b	1	`y`
30.7b	1	`z`

Compiler

Compiled 55 to 32 computations (41.8% saved)

regimes21.0ms (0.1%)

Accuracy

Total -27.5b remaining (-79%)

Threshold costs -27.5b (-79%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)

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

Calls

3 calls:

9.0ms	x
8.0ms	z
3.0ms	y

Results

Error	Segments	Branch
36.0b	3	`x`
37.8b	1	`y`
34.8b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch60.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.7624802837630254e+193	2.1524971661486087e+194
35.0ms	-3.0050395976929094e+221	-2.2721934532230194e+217

Results

28.0ms	60×	body	1024	valid
22.0ms	140×	body	256	valid
7.0ms	24×	body	512	valid

Compiler

Compiled 186 to 139 computations (25.3% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	213
1	62	213

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -4097911893406897/107839786668602559178668060348078522694548577690162289924414440996864) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 4380442163509679/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 (cos.f64 y) x) (+.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -18500000000000000549388722181818163840743317858582799583588861470765708489335847790750310490314052997915078692666691296297604012769216488986307192485677462141740124566084438602878420960088139296323271471483847931068416) (.f64 z (sin.f64 y)) (if (<=.f64 z -275000000000000008081912918553646414379223158971747630989324702701064481560292257088365069884409529497679963424222422831248477263225340589850463412227023270843631729361076978824963239236861952) (+.f64 (.f64 y z) x) (if (<=.f64 z -1350000000000000108813117644731130012771703482455670079238067960491762490525660959205085333684224) (.f64 z (sin.f64 y)) (if (<=.f64 z 1899999999999999877907811095602385896063041516111816586610543015496237517973081680825871710413111098954483761152) (.f64 (cos.f64 y) x) (if (<=.f64 z 480000000000000036271637126550646799417444398632302904661850973044393233772942575961556450536092532482663578289430708879360) (.f64 z (sin.f64 y)) (if (<=.f64 z 570000000000000023610196704332137114788089517782623753423666747686970196554049027866932093886849711339489399604120724768594853888) (.f64 (cos.f64 y) x) (if (<=.f64 z 1250000000000000046184432110072783176226147478730336056490347319018817957418402449652064138713176040930813969210904083414292125418696675521380774056034304) (.f64 z (sin.f64 y)) (if (<=.f64 z 1100000000000000025402400432967658703822822047336869202973621035970326408647403457752337976554745837221860623982084431616259109124449460857563632688319059204283234574591299213634863336783872) (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))))
(if (<=.f64 y -5072854620270127/4611686018427387904) (.f64 z (sin.f64 y)) (if (<=.f64 y 6802236877180397/576460752303423488) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 z -29999999999999997580844339580419700182387541526323725998906408721602526446615191946946201932569919986881337873998546910379499936163647588911697809620642786552334405855287308671981133120496360598595652152815026207457280) (.f64 y z) (if (<=.f64 z 75999999999999994497411638178258790247281728288202000541828599913807775977372466363821723035893147598654988552191739464187468123580733612596122691768372948826440013479991189960772344973640073216) x (.f64 y z)))
x

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(if (<=.f64 z -4097911893406897/107839786668602559178668060348078522694548577690162289924414440996864) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 4380442163509679/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 (cos.f64 y) x) (+.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -4097911893406897/107839786668602559178668060348078522694548577690162289924414440996864) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 4380442163509679/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 x (cos.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -18500000000000000549388722181818163840743317858582799583588861470765708489335847790750310490314052997915078692666691296297604012769216488986307192485677462141740124566084438602878420960088139296323271471483847931068416) (.f64 z (sin.f64 y)) (if (<=.f64 z -275000000000000008081912918553646414379223158971747630989324702701064481560292257088365069884409529497679963424222422831248477263225340589850463412227023270843631729361076978824963239236861952) (+.f64 (.f64 y z) x) (if (<=.f64 z -1350000000000000108813117644731130012771703482455670079238067960491762490525660959205085333684224) (.f64 z (sin.f64 y)) (if (<=.f64 z 1899999999999999877907811095602385896063041516111816586610543015496237517973081680825871710413111098954483761152) (.f64 (cos.f64 y) x) (if (<=.f64 z 480000000000000036271637126550646799417444398632302904661850973044393233772942575961556450536092532482663578289430708879360) (.f64 z (sin.f64 y)) (if (<=.f64 z 570000000000000023610196704332137114788089517782623753423666747686970196554049027866932093886849711339489399604120724768594853888) (.f64 (cos.f64 y) x) (if (<=.f64 z 1250000000000000046184432110072783176226147478730336056490347319018817957418402449652064138713176040930813969210904083414292125418696675521380774056034304) (.f64 z (sin.f64 y)) (if (<=.f64 z 1100000000000000025402400432967658703822822047336869202973621035970326408647403457752337976554745837221860623982084431616259109124449460857563632688319059204283234574591299213634863336783872) (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))))
(if (<=.f64 z -18500000000000000549388722181818163840743317858582799583588861470765708489335847790750310490314052997915078692666691296297604012769216488986307192485677462141740124566084438602878420960088139296323271471483847931068416) (.f64 z (sin.f64 y)) (if (<=.f64 z -275000000000000008081912918553646414379223158971747630989324702701064481560292257088365069884409529497679963424222422831248477263225340589850463412227023270843631729361076978824963239236861952) (+.f64 x (.f64 y z)) (if (<=.f64 z -1350000000000000108813117644731130012771703482455670079238067960491762490525660959205085333684224) (.f64 z (sin.f64 y)) (if (<=.f64 z 1899999999999999877907811095602385896063041516111816586610543015496237517973081680825871710413111098954483761152) (.f64 x (cos.f64 y)) (if (<=.f64 z 480000000000000036271637126550646799417444398632302904661850973044393233772942575961556450536092532482663578289430708879360) (.f64 z (sin.f64 y)) (if (<=.f64 z 570000000000000023610196704332137114788089517782623753423666747686970196554049027866932093886849711339489399604120724768594853888) (.f64 x (cos.f64 y)) (if (<=.f64 z 1250000000000000046184432110072783176226147478730336056490347319018817957418402449652064138713176040930813969210904083414292125418696675521380774056034304) (.f64 z (sin.f64 y)) (if (<=.f64 z 1100000000000000025402400432967658703822822047336869202973621035970326408647403457752337976554745837221860623982084431616259109124449460857563632688319059204283234574591299213634863336783872) (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))))
(if (<=.f64 y -5072854620270127/4611686018427387904) (.f64 z (sin.f64 y)) (if (<=.f64 y 6802236877180397/576460752303423488) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (<=.f64 y -5072854620270127/4611686018427387904) (.f64 z (sin.f64 y)) (if (<=.f64 y 6802236877180397/576460752303423488) (+.f64 x (.f64 y z)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 z -29999999999999997580844339580419700182387541526323725998906408721602526446615191946946201932569919986881337873998546910379499936163647588911697809620642786552334405855287308671981133120496360598595652152815026207457280) (.f64 y z) (if (<=.f64 z 75999999999999994497411638178258790247281728288202000541828599913807775977372466363821723035893147598654988552191739464187468123580733612596122691768372948826440013479991189960772344973640073216) x (.f64 y z)))
x

Compiler

Compiled 165 to 86 computations (47.9% saved)

soundness0.0ms (0%)

end52.0ms (0.2%)

Compiler: Compiled 147 to 53 computations (63.9% saved)