Details

analyze286.0ms (2.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
56.2%	43.7%	0.1%	10
65.5%	34.3%	0.1%	11
65.5%	34.3%	0.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample4.4s (36.3%)

Results

2.6s	2050×	body	1024	valid
1.3s	5189×	body	256	valid
457.0ms	1009×	body	512	valid
15.0ms	8×	body	2048	valid

preprocess19.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	38	48
2	50	48
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series14.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 x (sin.f64 y))
1.0ms	y	@	0	(*.f64 x (sin.f64 y))
1.0ms	z	@	0	(*.f64 z (cos.f64 y))
1.0ms	y	@	0	(*.f64 z (cos.f64 y))
1.0ms	z	@	inf	(*.f64 z (cos.f64 y))

rewrite75.0ms (0.6%)

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

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

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

simplify222.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

682×	`sqr-pow_binary64`
626×	`cube-prod_binary64`
464×	`*-commutative_binary64`
443×	`pow-sqr_binary64`
413×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	732
1	150	723
2	414	705
3	1331	704
4	2171	704
5	3318	704
6	3456	704
7	3673	704
8	3888	704
9	4170	704
10	4583	704
11	5080	704
12	5658	704
13	6348	704
14	6858	704
15	7252	704
16	7640	704

Stop Event

1×	node limit

Counts

213 → 161

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))

Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(.f64 z (fma.f64 (.f64 y -1/2) y 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 (*.f64 y -1/2) y 1)))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 y x z))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 y x z))
(fma.f64 z (.f64 -1/2 (.f64 y y)) (fma.f64 y x z))
(fma.f64 y x (.f64 z (fma.f64 (.f64 y -1/2) y 1)))
(fma.f64 (.f64 y y) (.f64 z -1/2) (fma.f64 y x z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 (fma.f64 y x z) (.f64 -1/6 (.f64 x (pow.f64 y 3)))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 y x (fma.f64 (*.f64 -1/6 (pow.f64 y 3)) x z)))
(fma.f64 z (.f64 -1/2 (.f64 y y)) (fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) y) z))
(fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify162.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-def_binary64`
757×	`sqr-pow_binary64`
556×	`distribute-lft-out_binary64`
476×	`*-commutative_binary64`
441×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	396
1	63	394
2	151	394
3	400	391
4	1332	388
5	2659	388
6	4130	388
7	4254	388
8	4430	388
9	4644	388
10	4980	388
11	5334	388
12	5810	388
13	6353	388
14	7015	388
15	7843	388

Stop Event

1×	node limit

Counts

57 → 32

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))

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

eval86.0ms (0.7%)

Compiler: Compiled 3378 to 1083 computations (67.9% saved)

prune51.0ms (0.4%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	214	18	232
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	214	20	234

Error

0.0b

Counts

234 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
▶	13.5b	(+.f64 (*.f64 x (sin.f64 y)) z)
	23.3b	(*.f64 (cos.f64 y) z)
	30.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	14.4b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
▶	28.2b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
	28.6b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	36.2b	z
	39.6b	(*.f64 (sin.f64 y) x)
	28.5b	(fma.f64 y x z)
▶	28.5b	(+.f64 (*.f64 y x) z)
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
	32.1b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
	33.9b	(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 473 to 310 computations (34.5% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series8.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

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

rewrite116.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify234.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

845×	`fma-def_binary64`
626×	`distribute-lft-out_binary64`
551×	`sqr-pow_binary64`
466×	`associate-+l+_binary64`
439×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	472
1	109	467
2	285	453
3	811	451
4	2536	451
5	3406	451
6	5141	451
7	5482	451
8	6064	451
9	6482	451
10	6946	451
11	7476	451

Stop Event

1×	node limit

Counts

74 → 53

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))

Outputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 x (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (.f64 -1/6 (pow.f64 y 3))) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 -1/6 (pow.f64 y 3) y))))
(.f64 x (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7))))))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 y x z))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 y x z))
(fma.f64 y x (fma.f64 z (.f64 y (.f64 y -1/2)) z))
(fma.f64 y x (fma.f64 z (.f64 -1/2 (.f64 y y)) z))
(fma.f64 y (.f64 z (.f64 y -1/2)) (fma.f64 y x z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 (fma.f64 y x z) (.f64 -1/6 (.f64 x (pow.f64 y 3)))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) y) z))
(fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 z (.f64 -1/2 (.f64 y y)) z))
(fma.f64 y (.f64 z (.f64 y -1/2)) (fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series14.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(+.f64 (*.f64 y x) z)
1.0ms	x	@	inf	(+.f64 (*.f64 y x) z)
1.0ms	x	@	-inf	(+.f64 (*.f64 y x) z)
1.0ms	y	@	inf	(+.f64 (*.f64 y x) z)
1.0ms	y	@	0	(+.f64 (*.f64 y x) z)

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`pow1_binary64`
741×	`add-log-exp_binary64`
741×	`log1p-expm1-u_binary64`
741×	`expm1-log1p-u_binary64`
724×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	148	7
2	1998	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify182.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1295×	`fma-def_binary64`
788×	`sqr-pow_binary64`
533×	`associate-l_binary64`
488×	`*-commutative_binary64`
448×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	305
1	55	249
2	136	246
3	368	242
4	1004	240
5	2335	240
6	2793	240
7	3429	240
8	3551	240
9	3724	240
10	3943	240
11	4930	240
12	5390	240
13	5991	240
14	6744	240
15	7676	240

Stop Event

1×	node limit

Counts

71 → 44

Calls

Call 1

Inputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))

Outputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (fma.f64 y x z) (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z))
(fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 y x z))
(fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) y) z)
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (+.f64 (fma.f64 y x z) (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) z)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z))
(fma.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)) z)
(fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) z)
(fma.f64 x (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) y)) z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
✓	7.1b	(sqrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series11.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (sin.f64 y)))
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
1.0ms	x	@	0	(sqrt.f64 (*.f64 x (sin.f64 y)))
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)

rewrite56.0ms (0.5%)

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

Outputs

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

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	112
1	7	112

Stop Event

1×

saturated

Counts

66 → 51

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series12.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

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

simplify183.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1900×	`fma-def_binary64`
662×	`sqr-pow_binary64`
419×	`*-commutative_binary64`
416×	`cube-prod_binary64`
351×	`pow-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	53	610
1	131	602
2	334	593
3	1092	591
4	1759	591
5	2749	591
6	2883	591
7	3038	591
8	3204	585
9	5086	585
10	5397	585
11	5767	585
12	6232	585
13	6785	585
14	7532	585
15	7942	585

Stop Event

1×	node limit

Counts

110 → 79

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
z
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z)))))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))

Outputs
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
z
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/4 (.f64 z (.f64 y y)) z)
(.f64 (fma.f64 -1/4 (.f64 y y) 1) z)
(.f64 z (fma.f64 -1/4 (.f64 y y) 1))
(.f64 z (fma.f64 y (.f64 y -1/4) 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/4 (.f64 z (.f64 y y)) z) (.f64 -1/96 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/4 (.f64 z (.f64 y y)) (*.f64 (fma.f64 -1/96 (pow.f64 y 4) 1) z))
(.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(fma.f64 z (.f64 y (fma.f64 y -1/4 (.f64 -1/96 (pow.f64 y 3)))) z)
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -19/5760 (.f64 z (pow.f64 y 6)) (+.f64 (fma.f64 -1/4 (.f64 z (.f64 y y)) z) (.f64 -1/96 (*.f64 z (pow.f64 y 4)))))
(fma.f64 -19/5760 (.f64 z (pow.f64 y 6)) (fma.f64 -1/4 (.f64 z (.f64 y y)) (.f64 (fma.f64 -1/96 (pow.f64 y 4) 1) z)))
(+.f64 z (.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6))))))
(.f64 z (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 z (fma.f64 y (fma.f64 -19/5760 (pow.f64 y 5) (fma.f64 y -1/4 (.f64 -1/96 (pow.f64 y 3)))) 1))
(fma.f64 z (fma.f64 y (.f64 y -1/4) (.f64 (pow.f64 y 4) (fma.f64 (*.f64 y y) -19/5760 -1/96))) z)
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 y x z))
(fma.f64 (.f64 z (.f64 y y)) -1/2 (fma.f64 y x z))
(fma.f64 y x (fma.f64 (.f64 y y) (.f64 z -1/2) z))
(fma.f64 y (fma.f64 y (*.f64 z -1/2) x) z)
(fma.f64 y (fma.f64 z (*.f64 y -1/2) x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 (fma.f64 y x z) (.f64 -1/6 (.f64 x (pow.f64 y 3)))))
(fma.f64 (.f64 z (.f64 y y)) -1/2 (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(fma.f64 y x (fma.f64 z (.f64 (.f64 y y) -1/2) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z)))
(fma.f64 y x (fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z)))
(fma.f64 y x (fma.f64 (.f64 y y) (fma.f64 x (.f64 y -1/6) (*.f64 z -1/2)) z))
(fma.f64 y x (fma.f64 (.f64 y y) (fma.f64 z -1/2 (.f64 x (*.f64 y -1/6))) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 1)
(fma.f64 y (*.f64 y -1/4) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (.f64 -1/96 (pow.f64 y 4)))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (.f64 -19/5760 (pow.f64 y 6))))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1)))
(fma.f64 y (fma.f64 -19/5760 (pow.f64 y 5) (fma.f64 y -1/4 (*.f64 -1/96 (pow.f64 y 3)))) 1)

eval125.0ms (1%)

Compiler: Compiled 6693 to 2322 computations (65.3% saved)

prune263.0ms (2.2%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	435	12	447
Fresh	8	5	13
Picked	1	0	1
Done	1	5	6
Total	445	22	467

Error

0.0b

Counts

467 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 3)
	36.2b	z
	28.6b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	34.1b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	32.1b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	28.5b	(fma.f64 y x z)
▶	54.4b	(*.f64 y x)
✓	28.5b	(+.f64 (*.f64 y x) z)
▶	33.9b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	13.5b	(+.f64 (*.f64 x (sin.f64 y)) z)
	23.3b	(*.f64 (cos.f64 y) z)
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
	23.8b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	34.9b	(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) z)))
	39.6b	(*.f64 (sin.f64 y) x)
	30.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	14.0b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))

Compiler

Compiled 493 to 322 computations (34.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 22 computations (55.1% saved)

series30.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	y	@	inf	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
2.0ms	z	@	0	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
2.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	-inf	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
2.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

rewrite137.0ms (1.1%)

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	1921	30

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-def_binary64`
504×	`fma-neg_binary64`
490×	`distribute-rgt-neg-in_binary64`
438×	`cancel-sign-sub-inv_binary64`
373×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	548
1	153	527
2	396	516
3	1254	514
4	3043	514
5	4378	514
6	6348	514

Stop Event

1×	node limit

Counts

128 → 106

Calls

Call 1

Inputs
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)))))
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)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)

Outputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/3 (.f64 y y)))
(fma.f64 -1/3 (*.f64 y y) 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 -1/405 (pow.f64 y 6))))
(+.f64 (fma.f64 -1/3 (.f64 y y) 1) (.f64 -1/405 (pow.f64 y 6)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 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 -1/405 (pow.f64 y 6)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) (fma.f64 -1/1701 (pow.f64 y 8) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(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 (pow.f64 (cos.f64 y) 2) 1/3)
(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 (pow.f64 (cos.f64 y) 2) 1/3)
(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 (pow.f64 (cos.f64 y) 2) 1/3)
(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))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(neg.f64 (fma.f64 y y -1))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(fma.f64 -1 (.f64 y y) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) 1) (*.f64 y y))
(-.f64 (*.f64 1/3 (pow.f64 y 4)) (fma.f64 y y -1))
(+.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 1/3 (pow.f64 y 4))))
(+.f64 (-.f64 1 (.f64 y y)) (fma.f64 1/3 (pow.f64 y 4) (.f64 (pow.f64 y 6) -2/45)))
(-.f64 (fma.f64 (pow.f64 y 6) -2/45 (fma.f64 1/3 (pow.f64 y 4) 1)) (*.f64 y y))
(-.f64 (*.f64 1/3 (pow.f64 y 4)) (fma.f64 y y (fma.f64 (pow.f64 y 6) 2/45 -1)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 y -1/6) 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 (.f64 y y) -1/6)))
(fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (*.f64 y y) -1/6 1))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) -1/72 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 (.f64 y y) -1/6))))
(fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (*.f64 y y) -1/6 1)))
(fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) -1/72 1)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 (pow.f64 y 4) -1/72 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))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (.f64 -1/3 (.f64 (*.f64 y y) z)))
(.f64 (fma.f64 -1/3 (.f64 y y) 1) z)
(fma.f64 y (.f64 y (.f64 -1/3 z)) z)
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 z (fma.f64 -1/405 (.f64 (pow.f64 y 6) z) (.f64 -1/3 (.f64 (.f64 y y) z))))
(+.f64 z (.f64 z (fma.f64 -1/3 (.f64 y y) (*.f64 -1/405 (pow.f64 y 6)))))
(fma.f64 z (fma.f64 -1/3 (.f64 y y) (.f64 -1/405 (pow.f64 y 6))) z)
(.f64 (fma.f64 -1/3 (.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1)) z)
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(fma.f64 -1/1701 (.f64 (pow.f64 y 8) z) (+.f64 z (fma.f64 -1/405 (.f64 (pow.f64 y 6) z) (.f64 -1/3 (.f64 (*.f64 y y) z)))))
(+.f64 (.f64 z (fma.f64 -1/3 (.f64 y y) (.f64 -1/405 (pow.f64 y 6)))) (fma.f64 -1/1701 (.f64 (pow.f64 y 8) z) z))
(+.f64 z (.f64 z (fma.f64 -1/405 (pow.f64 y 6) (fma.f64 -1/1701 (pow.f64 y 8) (.f64 -1/3 (*.f64 y y))))))
(.f64 z (fma.f64 -1/3 (.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) (fma.f64 -1/1701 (pow.f64 y 8) 1))))
(.f64 (fma.f64 -1/3 (.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) (fma.f64 -1/1701 (pow.f64 y 8) 1))) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)

localize4.0ms (0%)

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

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	0.1b	(*.f64 x (sin.f64 y))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
✓	7.7b	(cbrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series18.0ms (0.1%)

Counts

3 → 40

Calls

21 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

971×	`pow1_binary64`
906×	`add-log-exp_binary64`
906×	`log1p-expm1-u_binary64`
906×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	216	21
2	2521	21

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

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

simplify193.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1290×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
625×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
373×	`unpow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	321
1	31	243
2	50	243
3	64	243
4	88	243
5	177	243
6	560	243
7	1226	243
8	1318	243
9	1456	243
10	1619	243
11	1857	243
12	2184	243
13	2610	243
14	3117	243
15	3723	243
16	4448	243
17	4771	243
18	5053	243
19	5275	243
20	5451	243
21	5533	243
22	6476	243
23	7453	243
24	7919	243

Stop Event

1×	node limit

Counts

131 → 96

Calls

Call 1

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

Outputs
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
z
z
z
z
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
z
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
z
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 12 computations (76% saved)

series55.0ms (0.5%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
19.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 3)
11.0ms	y	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 3)
9.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 3)
4.0ms	z	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) 3)

rewrite116.0ms (0.9%)

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	26
1	254	26
2	2981	26

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

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

simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

826×	`associate-+l+_binary64`
520×	`associate-r_binary64`
413×	`associate-l_binary64`
369×	`fma-def_binary64`
314×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	5028
1	1180	3964
2	4627	3942

Stop Event

1×	node limit

Counts

152 → 164

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y))))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) 1/9) (sin.f64 y)))) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y))))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) 1/9) (sin.f64 y)))) x) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) 1/9) (pow.f64 (sin.f64 y) 2)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y)))) (sin.f64 y)))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))))))) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y)))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/9) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) 1/9) (pow.f64 (sin.f64 y) 2))))) (sin.f64 y)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))))))) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 8) (pow.f64 z 8))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))))) (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/3))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y))))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) 1/9) (sin.f64 y)))) x) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4))) 1/9) (pow.f64 (sin.f64 y) 2)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y)))) (sin.f64 y)))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))))))) (pow.f64 x 2)))))
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (.f64 y (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)))) (.f64 (pow.f64 1 1/3) z))
(+.f64 (.f64 y (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)))) (+.f64 (.f64 (pow.f64 1 1/3) z) (.f64 (pow.f64 y 2) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/9) (pow.f64 x 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (pow.f64 (.f64 1 z) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 z) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2)))))))))))
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(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))))))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2)))))))) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y)))))))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2)))))))) (+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (cos.f64 y) 3)))))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y)))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (cos.f64 y) 3)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (sin.f64 y) x)))))))))) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))))))))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/9) (.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (cos.f64 y)) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/9) (.f64 (sin.f64 y) x))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 x 2))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/9) (.f64 (sin.f64 y) x))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (.f64 (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))))) (pow.f64 x 3)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 x 2)))))))
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x)))))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/6 x) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 x 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2)))) x))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x))))))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (*.f64 (cos.f64 y) z))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (*.f64 (cos.f64 y) z)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 (cos.f64 y) z))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (cos.f64 y) 3)))) (pow.f64 z 3)))))))

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

localize74.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 10 computations (77.8% saved)

series8.0ms (0.1%)

Counts

3 → 44

Calls

15 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`pow1_binary64`
588×	`add-log-exp_binary64`
588×	`log1p-expm1-u_binary64`
588×	`expm1-log1p-u_binary64`
573×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	138	19
2	1640	19

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.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))))))))

simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1154×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
596×	`cube-prod_binary64`
431×	`fabs-mul_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	356
1	74	353
2	193	342
3	569	340
4	1539	338
5	2390	338
6	2597	338
7	3045	338
8	3924	338
9	4067	338
10	4294	338
11	4781	338
12	5377	338
13	6250	338
14	7357	338

Stop Event

1×	node limit

Counts

86 → 51

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)

Outputs
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (.f64 1/120 (pow.f64 y 5))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (.f64 -1/6 (pow.f64 y 3))) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) y))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)

eval459.0ms (3.8%)

Compiler: Compiled 14595 to 7040 computations (51.8% saved)

prune173.0ms (1.4%)

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	581	12	593
Fresh	6	6	12
Picked	1	0	1
Done	2	7	9
Total	590	25	615

Error

0.0b

Counts

615 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	24.0b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
	13.9b	(+.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (sin.f64 y))) z)
	36.2b	z
	28.6b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	39.6b	(*.f64 (sin.f64 y) x)
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
	34.1b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
▶	40.1b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
	28.5b	(fma.f64 y x z)
✓	54.4b	(*.f64 y x)
▶	14.0b	(+.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x)) 3) z)
✓	28.5b	(+.f64 (*.f64 y x) z)
	30.2b	(+.f64 (.f64 (.f64 (sin.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) z)
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	13.5b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	23.3b	(*.f64 (cos.f64 y) z)
▶	0.5b	(fma.f64 (.f64 z (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
▶	30.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	0.8b	(fma.f64 (.f64 z (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	23.8b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	37.2b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
	42.2b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)

Compiler

Compiled 543 to 368 computations (32.2% saved)

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.3b	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
✓	0.4b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)

Compiler

Compiled 65 to 27 computations (58.5% saved)

series100.0ms (0.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
75.0ms	y	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
21.0ms	y	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
2.0ms	y	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
0.0ms	y	@	0	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
0.0ms	y	@	inf	(cbrt.f64 (cbrt.f64 (cos.f64 y)))

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`pow1_binary64`
626×	`add-log-exp_binary64`
625×	`log1p-expm1-u_binary64`
625×	`expm1-log1p-u_binary64`
608×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	188	25
2	1888	25

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)

Outputs

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

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

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

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

652×	`fma-def_binary64`
562×	`associate-l_binary64`
525×	`distribute-rgt-out_binary64`
470×	`sqr-pow_binary64`
461×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	516
1	133	486
2	307	476
3	906	474
4	3459	370
5	5604	370
6	6816	370
7	7290	370
8	7738	370

Stop Event

1×	node limit

Counts

96 → 83

Calls

Call 1

Inputs
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)))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
1
(+.f64 1 (*.f64 -1/18 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -5/648 (pow.f64 y 4)) (.f64 -1/18 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -347/174960 (pow.f64 y 6)) (+.f64 (.f64 -5/648 (pow.f64 y 4)) (*.f64 -1/18 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
1
(+.f64 1 (*.f64 -1/9 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/9 (pow.f64 y 2)) (.f64 -1/81 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -1/9 (pow.f64 y 2)) (+.f64 (.f64 -1/81 (pow.f64 y 4)) (*.f64 -34/10935 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)

Outputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/3 (.f64 y y)))
(fma.f64 -1/3 (*.f64 y y) 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 -1/405 (pow.f64 y 6))))
(+.f64 (fma.f64 -1/3 (.f64 y y) 1) (.f64 -1/405 (pow.f64 y 6)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 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 -1/405 (pow.f64 y 6)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) (fma.f64 -1/1701 (pow.f64 y 8) 1)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/405 (pow.f64 y 6) 1)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1
(+.f64 1 (*.f64 -1/18 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/18))
(fma.f64 (*.f64 y y) -1/18 1)
(fma.f64 y (*.f64 y -1/18) 1)
(+.f64 1 (+.f64 (.f64 -5/648 (pow.f64 y 4)) (.f64 -1/18 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -5/648 (pow.f64 y 4) (.f64 (.f64 y y) -1/18)))
(+.f64 (fma.f64 (.f64 y y) -1/18 1) (.f64 -5/648 (pow.f64 y 4)))
(fma.f64 y (*.f64 y -1/18) (fma.f64 -5/648 (pow.f64 y 4) 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y -5/648) -1/18) 1)
(+.f64 1 (+.f64 (.f64 -347/174960 (pow.f64 y 6)) (+.f64 (.f64 -5/648 (pow.f64 y 4)) (*.f64 -1/18 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -347/174960 (pow.f64 y 6) (fma.f64 -5/648 (pow.f64 y 4) (.f64 (.f64 y y) -1/18))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -347/174960 (fma.f64 (.f64 y y) -1/18 (.f64 -5/648 (pow.f64 y 4)))))
(fma.f64 (pow.f64 y 6) -347/174960 (fma.f64 y (*.f64 y -1/18) (fma.f64 -5/648 (pow.f64 y 4) 1)))
(fma.f64 y (*.f64 y -1/18) (fma.f64 (pow.f64 y 6) -347/174960 (fma.f64 -5/648 (pow.f64 y 4) 1)))
(fma.f64 (pow.f64 y 6) -347/174960 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y -5/648) -1/18) 1))
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 1/36) 4)
1
(+.f64 1 (*.f64 -1/9 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/9))
(fma.f64 (*.f64 y y) -1/9 1)
(fma.f64 y (*.f64 y -1/9) 1)
(+.f64 1 (+.f64 (.f64 -1/9 (pow.f64 y 2)) (.f64 -1/81 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/9 (.f64 y y) (.f64 (pow.f64 y 4) -1/81)))
(+.f64 1 (fma.f64 (pow.f64 y 4) -1/81 (.f64 (.f64 y y) -1/9)))
(fma.f64 (pow.f64 y 4) -1/81 (fma.f64 y (*.f64 y -1/9) 1))
(fma.f64 y (*.f64 y -1/9) (fma.f64 (pow.f64 y 4) -1/81 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y -1/81) -1/9) 1)
(+.f64 1 (+.f64 (.f64 -1/9 (pow.f64 y 2)) (+.f64 (.f64 -1/81 (pow.f64 y 4)) (*.f64 -34/10935 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/9 (.f64 y y) (fma.f64 -1/81 (pow.f64 y 4) (.f64 (pow.f64 y 6) -34/10935))))
(+.f64 (fma.f64 (.f64 y y) -1/9 1) (fma.f64 (pow.f64 y 4) -1/81 (.f64 (pow.f64 y 6) -34/10935)))
(+.f64 1 (fma.f64 y (.f64 y -1/9) (fma.f64 (pow.f64 y 4) -1/81 (.f64 (pow.f64 y 6) -34/10935))))
(fma.f64 y (*.f64 y -1/9) (fma.f64 (pow.f64 y 6) -34/10935 (fma.f64 (pow.f64 y 4) -1/81 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y -1/81) -1/9) (fma.f64 (pow.f64 y 6) -34/10935 1))
(fma.f64 (pow.f64 y 6) -34/10935 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y -1/81) -1/9) 1))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/36) 4)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

779×	`distribute-lft-out_binary64`
740×	`*-commutative_binary64`
526×	`associate-+l+_binary64`
521×	`distribute-rgt-out_binary64`
499×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	116
1	63	112
2	167	108
3	534	105
4	2186	105
5	4347	105
6	4579	105
7	4871	105
8	5244	105
9	5641	105
10	6032	105
11	7549	105
12	7989	105

Stop Event

1×	node limit

Counts

23 → 19

Calls

Call 1

Inputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))

Outputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(.f64 z (fma.f64 y (.f64 -1/2 y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (fma.f64 1/24 (pow.f64 y 4) (fma.f64 y (.f64 -1/2 y) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (*.f64 y y)))))
(.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/720 (pow.f64 y 6) 1))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 y) x)
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
✓	7.7b	(cbrt.f64 (*.f64 (sin.f64 y) x))

Compiler

Compiled 24 to 9 computations (62.5% saved)

series9.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	14
2	1669	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify182.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1290×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
625×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
373×	`unpow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	136
1	26	112
2	40	112
3	51	112
4	75	112
5	169	112
6	541	112
7	1207	112
8	1299	112
9	1437	112
10	1600	112
11	1839	112
12	2166	112
13	2594	112
14	3100	112
15	3706	112
16	4429	112
17	4750	112
18	5034	112
19	5258	112
20	5438	112
21	5522	112
22	6465	112
23	7442	112
24	7908	112

Stop Event

1×	node limit

Counts

68 → 54

Calls

Call 1

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

Outputs
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x))
✓	0.5b	(cbrt.f64 x)
✓	0.6b	(cbrt.f64 (sin.f64 y))
✓	0.6b	(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x)) 3)

Compiler

Compiled 38 to 13 computations (65.8% saved)

series16.0ms (0.1%)

Counts

4 → 24

Calls

18 calls:

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

rewrite150.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`pow1_binary64`
717×	`add-log-exp_binary64`
717×	`log1p-expm1-u_binary64`
717×	`expm1-log1p-u_binary64`
695×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	186	22
2	2049	22

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

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

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

simplify149.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1349×	`sqr-pow_binary64`
724×	`unswap-sqr_binary64`
594×	`cube-prod_binary64`
492×	`fabs-mul_binary64`
428×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	176
1	30	152
2	46	152
3	63	152
4	105	152
5	277	152
6	1030	152
7	2343	152
8	2505	152
9	2785	152
10	3103	152
11	3552	152
12	4167	152
13	4977	152
14	5465	152
15	5938	152
16	6205	152
17	6460	152
18	6600	152
19	7456	152

Stop Event

1×	node limit

Counts

101 → 79

Calls

Call 1

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

Outputs
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 1 (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 1 (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 1 (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 1 (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 1 (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 1 (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 1 (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(.f64 1 (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 9 computations (72.7% saved)

series12.0ms (0.1%)

Counts

2 → 37

Calls

15 calls:

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

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	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 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
(*.f64 (cos.f64 y) (sqrt.f64 z))

Outputs

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

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

simplify175.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1895×	`fma-def_binary64`
679×	`sqr-pow_binary64`
416×	`cube-prod_binary64`
393×	`*-commutative_binary64`
358×	`pow-sqr_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	45	428
1	109	421
2	285	408
3	935	400
4	2465	400
5	3491	400
6	3612	400
7	3770	400
8	3942	400
9	4173	395
10	5459	395
11	5856	395
12	6366	395
13	6931	395
14	7705	395

Stop Event

1×	node limit

Counts

71 → 56

Calls

Call 1

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

Outputs
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 y x z))
(fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 y x z))
(fma.f64 y (fma.f64 z (*.f64 y -1/2) x) z)
(fma.f64 y (fma.f64 -1/2 (*.f64 z y) x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 (fma.f64 y x z) (.f64 -1/6 (.f64 x (pow.f64 y 3)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 y x (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z)))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) z (.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) 1) (.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 x (.f64 -1/6 (pow.f64 y 3)) (fma.f64 y (fma.f64 -1/2 (.f64 z y) x) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(sqrt.f64 z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (sqrt.f64 z))
(fma.f64 -1/2 (.f64 (.f64 y y) (sqrt.f64 z)) (sqrt.f64 z))
(fma.f64 -1/2 (.f64 y (.f64 y (sqrt.f64 z))) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (fma.f64 -1/2 (.f64 y y) 1))
(.f64 (sqrt.f64 z) (fma.f64 y (.f64 y -1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 z)))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) (sqrt.f64 z)) (sqrt.f64 z)) (.f64 1/24 (.f64 (sqrt.f64 z) (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 y (.f64 y (sqrt.f64 z))) (fma.f64 1/24 (*.f64 (sqrt.f64 z) (pow.f64 y 4)) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (.f64 y (*.f64 y -1/2))))
(.f64 (sqrt.f64 z) (fma.f64 y (.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 z))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 z))))))
(fma.f64 -1/720 (.f64 (sqrt.f64 z) (pow.f64 y 6)) (+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) (sqrt.f64 z)) (sqrt.f64 z)) (.f64 1/24 (*.f64 (sqrt.f64 z) (pow.f64 y 4)))))
(+.f64 (fma.f64 1/24 (.f64 (sqrt.f64 z) (pow.f64 y 4)) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (.f64 -1/2 (*.f64 y y)))))
(fma.f64 (sqrt.f64 z) (fma.f64 -1/720 (pow.f64 y 6) (.f64 y (.f64 y -1/2))) (*.f64 (sqrt.f64 z) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 (sqrt.f64 z) (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(.f64 (sqrt.f64 z) (fma.f64 y (fma.f64 y -1/2 (.f64 -1/720 (pow.f64 y 5))) (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))

eval152.0ms (1.2%)

Compiler: Compiled 6683 to 2733 computations (59.1% saved)

prune156.0ms (1.3%)

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	397	9	406
Fresh	7	6	13
Picked	0	1	1
Done	1	10	11
Total	405	26	431

Error

0.0b

Counts

431 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	50.5b	(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
	39.6b	(*.f64 (sin.f64 y) x)
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
	34.1b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	36.2b	z
✓	40.1b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
✓	54.4b	(*.f64 y x)
	40.1b	(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x)) 3)
	49.5b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
✓	28.5b	(+.f64 (*.f64 y x) z)
	30.2b	(+.f64 (.f64 (.f64 (sin.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) z)
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	13.5b	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	23.3b	(*.f64 (cos.f64 y) z)
✓	0.5b	(fma.f64 (.f64 z (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
✓	30.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	0.8b	(fma.f64 (.f64 z (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	24.0b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
	23.8b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	28.5b	(fma.f64 y x z)
	53.4b	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
	40.9b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	40.0b	(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)))

Compiler

Compiled 312 to 211 computations (32.4% saved)

regimes202.0ms (1.7%)

Counts

53 → 1

Calls

Call 1

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

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

Calls

5 calls:

43.0ms	y
41.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
40.0ms	x
34.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
28.0ms	z

Results

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

Compiler

Compiled 553 to 166 computations (70% saved)

regimes104.0ms (0.9%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	z
24.0ms	x
23.0ms	y
21.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 125 to 47 computations (62.4% saved)

regimes99.0ms (0.8%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	y
31.0ms	z
28.0ms	x

Results

Error	Segments	Branch
7.8b	3	`x`
10.6b	4	`y`
5.4b	3	`z`

Compiler

Compiled 60 to 21 computations (65% saved)

bsearch117.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	4107690573.1902866	5696697786.897164
60.0ms	-1.080432655908187e+150	-6.286295837254092e+148

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes97.0ms (0.8%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	y
32.0ms	x
29.0ms	z

Results

Error	Segments	Branch
13.8b	5	`x`
11.7b	5	`y`
12.5b	3	`z`

Compiler

Compiled 54 to 19 computations (64.8% saved)

bsearch321.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	0.005942722395923747	79.86688634909905
38.0ms	-959.0349490808583	-4.690189031088517e-10
83.0ms	-1.3948637207315615e+61	-5.6331254089158625e+56
127.0ms	-1.6168061700794143e+169	-6.228842761369212e+167

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes192.0ms (1.6%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

128.0ms	x
48.0ms	z
14.0ms	y

Results

Error	Segments	Branch
23.4b	5	`x`
14.9b	3	`y`
22.8b	3	`z`

Compiler

Compiled 34 to 17 computations (50% saved)

bsearch100.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	0.005942722395923747	79.86688634909905
35.0ms	-959.0349490808583	-4.690189031088517e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x z)

Calls

3 calls:

5.0ms	x
5.0ms	y
5.0ms	z

Results

Error	Segments	Branch
28.5b	1	`x`
28.5b	1	`y`
28.5b	1	`z`

Compiler

Compiled 30 to 15 computations (50% saved)

regimes16.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
28.5b	1	`x`
28.5b	1	`y`
28.5b	1	`z`

Compiler

Compiled 26 to 14 computations (46.2% saved)

regimes60.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

Inputs
z
z
z
(*.f64 y x)

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

Calls

3 calls:

43.0ms	x
12.0ms	z
4.0ms	y

Results

Error	Segments	Branch
33.5b	3	`x`
36.2b	1	`y`
33.5b	3	`z`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch176.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	2.869573731382885e+251	6.027606204330735e+254
122.0ms	-1.2826271804531433e+179	-8.596790931175505e+178

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
z
z
z

Outputs
z

Calls

3 calls:

4.0ms	x
4.0ms	z
4.0ms	y

Results

Error	Segments	Branch
36.2b	1	`x`
36.2b	1	`y`
36.2b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	175
1	49	175

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -1080432655908186999685643862034437725022781383497712946453272483427616279747112700001254653517755999431799757402400126021143001209930920621879114858496) (.f64 (cos.f64 y) z) (if (<=.f64 z 2153612875236789/524288) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 y -16168061700794143434200876931800779253130732190464746870848223349410265696449839733423360702244652267853879462379323705094800462288402507403322244963331123870533741969408) (.f64 (cos.f64 y) z) (if (<=.f64 y -13948637207315614754675125809002374336675864510959908198285312) (.f64 (sin.f64 y) x) (if (<=.f64 y -4217880311831871/4398046511104) (.f64 (cos.f64 y) z) (if (<=.f64 y 6851492446169213/1152921504606846976) (fma.f64 y x z) (.f64 (sin.f64 y) x)))))
(if (<=.f64 y -4217880311831871/4398046511104) (.f64 (sin.f64 y) x) (if (<=.f64 y 6851492446169213/1152921504606846976) (fma.f64 y x z) (.f64 (sin.f64 y) x)))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(if (<=.f64 x -128262718045314332721160562490865087195005341355904986903745560523857571277883893461407467077393312289539992688506176978422069298401838674430552500853668899711484941485217620688896) (.f64 y x) (if (<=.f64 x 286957373138288493056508326095705499062226225415119124062991683697387931698735218825758448447284879287861866388910159816503778957574448397921001079349424928249812355338329768455969772057467066164263233659775419178588529391604545950560926363769913737216) z (.f64 y x)))
z

Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (<=.f64 z -1080432655908186999685643862034437725022781383497712946453272483427616279747112700001254653517755999431799757402400126021143001209930920621879114858496) (.f64 (cos.f64 y) z) (if (<=.f64 z 2153612875236789/524288) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 z -1080432655908186999685643862034437725022781383497712946453272483427616279747112700001254653517755999431799757402400126021143001209930920621879114858496) (.f64 z (cos.f64 y)) (if (<=.f64 z 2153612875236789/524288) (+.f64 z (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))
(if (<=.f64 y -16168061700794143434200876931800779253130732190464746870848223349410265696449839733423360702244652267853879462379323705094800462288402507403322244963331123870533741969408) (.f64 (cos.f64 y) z) (if (<=.f64 y -13948637207315614754675125809002374336675864510959908198285312) (.f64 (sin.f64 y) x) (if (<=.f64 y -4217880311831871/4398046511104) (.f64 (cos.f64 y) z) (if (<=.f64 y 6851492446169213/1152921504606846976) (fma.f64 y x z) (.f64 (sin.f64 y) x)))))
(if (<=.f64 y -16168061700794143434200876931800779253130732190464746870848223349410265696449839733423360702244652267853879462379323705094800462288402507403322244963331123870533741969408) (.f64 z (cos.f64 y)) (if (<=.f64 y -13948637207315614754675125809002374336675864510959908198285312) (.f64 x (sin.f64 y)) (if (<=.f64 y -4217880311831871/4398046511104) (.f64 z (cos.f64 y)) (if (<=.f64 y 6851492446169213/1152921504606846976) (fma.f64 y x z) (.f64 x (sin.f64 y))))))
(if (<=.f64 y -4217880311831871/4398046511104) (.f64 (sin.f64 y) x) (if (<=.f64 y 6851492446169213/1152921504606846976) (fma.f64 y x z) (.f64 (sin.f64 y) x)))
(if (<=.f64 y -4217880311831871/4398046511104) (.f64 x (sin.f64 y)) (if (<=.f64 y 6851492446169213/1152921504606846976) (fma.f64 y x z) (.f64 x (sin.f64 y))))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 x -128262718045314332721160562490865087195005341355904986903745560523857571277883893461407467077393312289539992688506176978422069298401838674430552500853668899711484941485217620688896) (.f64 y x) (if (<=.f64 x 286957373138288493056508326095705499062226225415119124062991683697387931698735218825758448447284879287861866388910159816503778957574448397921001079349424928249812355338329768455969772057467066164263233659775419178588529391604545950560926363769913737216) z (.f64 y x)))
(if (<=.f64 x -128262718045314332721160562490865087195005341355904986903745560523857571277883893461407467077393312289539992688506176978422069298401838674430552500853668899711484941485217620688896) (.f64 x y) (if (<=.f64 x 286957373138288493056508326095705499062226225415119124062991683697387931698735218825758448447284879287861866388910159816503778957574448397921001079349424928249812355338329768455969772057467066164263233659775419178588529391604545950560926363769913737216) z (.f64 x y)))
z

Compiler

Compiled 147 to 83 computations (43.5% saved)

soundness7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 23 to 15 computations (34.8% saved)

end60.0ms (0.5%)

Compiler: Compiled 123 to 43 computations (65% saved)