Details

analyze255.0ms (2.9%)

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)

sample2.3s (26.5%)

Results

1.1s	2058×	body	1024	valid
913.0ms	5167×	body	256	valid
339.0ms	1028×	body	512	valid
2.0ms	3×	body	2048	valid

preprocess21.0ms (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 (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 y (cos.f64 x)) (.f64 z (sin.f64 x)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series13.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite64.0ms (0.7%)

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	2496	24

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

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

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

simplify167.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

723×	`sqr-pow_binary64`
625×	`cube-prod_binary64`
500×	`pow-sqr_binary64`
486×	`*-commutative_binary64`
403×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	654
1	147	651
2	403	631
3	1311	630
4	2094	630
5	3207	630
6	3393	630
7	3627	630
8	3897	630
9	4256	630
10	4661	630
11	5157	630
12	5727	630
13	6415	630
14	6921	630
15	7313	630
16	7703	630

Stop Event

1×	node limit

Counts

201 → 161

Calls

Call 1

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

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

eval39.0ms (0.4%)

Compiler: Compiled 2452 to 788 computations (67.9% saved)

prune43.0ms (0.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	144	17	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	18	162

Error

0.0b

Counts

162 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	13.1b	(+.f64 x (*.f64 z (sin.f64 y)))
	31.4b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
	31.9b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	24.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	33.6b	(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
▶	30.1b	(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	33.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
	36.3b	(*.f64 z (sin.f64 y))
	2.3b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	0.2b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
	0.6b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	0.6b	(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (*.f64 x (cos.f64 y)))
▶	33.2b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
▶	31.0b	(+.f64 (*.f64 y z) x)
▶	0.8b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
▶	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))

Compiler

Compiled 518 to 334 computations (35.5% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite46.0ms (0.5%)

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

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

Outputs

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

simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-def_binary64`
783×	`sqr-pow_binary64`
556×	`distribute-lft-out_binary64`
475×	`*-commutative_binary64`
442×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	394
1	67	394
2	160	393
3	420	391
4	1305	388
5	2690	388
6	4159	388
7	4277	388
8	4450	388
9	4661	388
10	4997	388
11	5353	388
12	5831	388
13	6371	388
14	7031	388
15	7861	388

Stop Event

1×	node limit

Counts

57 → 34

Calls

Call 1

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

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

localize3.0ms (0%)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (*.f64 x (cos.f64 y)))
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
	0.0b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.5b	(cbrt.f64 (*.f64 x (cos.f64 y)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)

series16.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

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

rewrite45.0ms (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
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(cbrt.f64 (*.f64 x (cos.f64 y)))

Outputs

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

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

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-l_binary64`
651×	`associate-r_binary64`
581×	`fma-def_binary64`
421×	`distribute-rgt-out_binary64`
334×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	527
1	296	481
2	984	416
3	5712	383

Stop Event

1×	node limit

Counts

76 → 71

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 1 1/3))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)

Outputs
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 x (.f64 (.f64 x -1/2) (*.f64 y y)))
(fma.f64 (.f64 x -1/2) (.f64 y y) x)
(fma.f64 y (.f64 x (.f64 -1/2 y)) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 x (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 x -1/24)) (fma.f64 1/18 x (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x)))))))
(+.f64 x (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (fma.f64 1/3 (.f64 x -1/24) (fma.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))))))
(fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (fma.f64 x 1/18 (.f64 x -1/72))) x))
(fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (.f64 x 1/24)) x))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 1 1/3))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(+.f64 x (fma.f64 (fma.f64 -1/6 (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216)))) (.f64 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) -1/9)) (fma.f64 1/3 (.f64 1 (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216)))) (.f64 -1/9 (.f64 x -1/24))))) (pow.f64 y 6) (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 x -1/24)) (fma.f64 1/18 x (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))))))))
(+.f64 x (fma.f64 (+.f64 (fma.f64 1/3 (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72))) (.f64 (.f64 -1/9 x) -1/24)) (.f64 (cbrt.f64 x) (+.f64 (.f64 -1/6 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x))))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72)))) (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (.f64 -1/9 x) -1/24)))))) (pow.f64 y 6) (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (fma.f64 1/3 (.f64 x -1/24) (fma.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18)))))))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 2/3 (+.f64 (.f64 x -11/720) (.f64 x 1/216))) (.f64 x 1/216)))) (fma.f64 1/3 (+.f64 (.f64 x -11/720) (.f64 x 1/216)) (.f64 x 1/216))) (pow.f64 y 6) (fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (fma.f64 x 1/18 (*.f64 x -1/72))) x)))
(fma.f64 (fma.f64 (cbrt.f64 x) (+.f64 (.f64 (cbrt.f64 (.f64 x x)) -1/216) (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 x 1/216) (+.f64 (.f64 2/3 (.f64 x -23/2160)) (.f64 x 1/216))))) (fma.f64 1/3 (.f64 x -23/2160) (.f64 x 1/216))) (pow.f64 y 6) (fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/24)) x)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (cbrt.f64 x) (.f64 (.f64 -1/6 (cbrt.f64 x)) (*.f64 y y)))
(fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 x))) (cbrt.f64 x))
(.f64 (+.f64 (.f64 -1/6 (*.f64 y y)) 1) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/24))) (.f64 (.f64 -1/6 (cbrt.f64 x)) (*.f64 y y))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y 4) (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 (.f64 x x)))))) (fma.f64 -1/6 (.f64 y (*.f64 y (cbrt.f64 x))) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/72)) (.f64 (+.f64 (.f64 -1/6 (.f64 y y)) 1) (cbrt.f64 x)))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216))) (.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/24))) (.f64 (.f64 -1/6 (cbrt.f64 x)) (*.f64 y y)))))
(+.f64 (.f64 1/3 (+.f64 (.f64 (pow.f64 y 6) (.f64 (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72))) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 (pow.f64 y 4) (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 (.f64 x x))))))) (fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 x))) (cbrt.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (+.f64 (.f64 (+.f64 (.f64 x -11/720) (.f64 x 1/216)) (pow.f64 y 6)) (.f64 (pow.f64 y 4) (.f64 x -1/24)))) (.f64 (+.f64 (.f64 -1/6 (.f64 y y)) 1) (cbrt.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (+.f64 (.f64 (pow.f64 y 4) (.f64 x -1/24)) (.f64 (.f64 x -23/2160) (pow.f64 y 6)))) (.f64 (+.f64 (.f64 -1/6 (*.f64 y y)) 1) (cbrt.f64 x)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series12.0ms (0.1%)

Counts

2 → 29

Calls

15 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1924×	`fma-def_binary64`
690×	`sqr-pow_binary64`
419×	`*-commutative_binary64`
415×	`cube-prod_binary64`
396×	`pow-sqr_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	43	358
1	111	356
2	293	343
3	939	336
4	2467	336
5	3475	336
6	3674	336
7	3837	336
8	4001	336
9	4220	331
10	5512	331
11	5872	331
12	6327	331
13	6882	331
14	7631	331

Stop Event

1×	node limit

Counts

63 → 52

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 x (cos.f64 y)) 2)
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
	0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 2)
✓	0.2b	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	1.7b	(-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))
✓	28.4b	(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))

series22.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

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

rewrite119.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`log-prod_binary64`
699×	`fma-def_binary64`
322×	`fma-neg_binary64`
293×	`expm1-udef_binary64`
293×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	362	58
2	4869	58

Stop Event

1×	node limit

Counts

4 → 276

Calls

Call 1

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

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

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

909×	`associate-/l*_binary64`
814×	`fma-def_binary64`
633×	`associate-/r*_binary64`
288×	`associate-*l/_binary64`
246×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	3379
1	531	3245
2	2098	3181

Stop Event

1×	node limit

Counts

408 → 337

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 z) (+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) x)) (.f64 1/6 z))))) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2))) (.f64 -1/3 (pow.f64 z 2)))) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 z 2)))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/360 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 2))) (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2)))) (pow.f64 y 6)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2))) (.f64 -1/3 (pow.f64 z 2)))) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2))))))
(-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (.f64 z (sin.f64 y))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (/.f64 (.f64 y z) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (.f64 y z) (pow.f64 x 2)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x)) (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 x 2))) (.f64 1/6 (/.f64 z (pow.f64 x 2))))) (pow.f64 y 3))))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (.f64 z (sin.f64 y))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (.f64 z (sin.f64 y))))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (pow.f64 y 8) (+.f64 (.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/2520 (pow.f64 z 2)))))))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))

Outputs
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) x))
(fma.f64 y z (fma.f64 (.f64 y y) (-.f64 (neg.f64 x) (fma.f64 -1/2 x (.f64 0 (/.f64 (*.f64 z z) x)))) x))
(fma.f64 z y (fma.f64 (*.f64 y y) (fma.f64 x -1/2 0) x))
(fma.f64 z y (fma.f64 y (.f64 y (.f64 x -1/2)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 z) (+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) x)) (.f64 1/6 z))))) x)))
(fma.f64 y z (fma.f64 (.f64 y y) (-.f64 (neg.f64 x) (fma.f64 -1/2 x (.f64 0 (/.f64 (.f64 z z) x)))) (fma.f64 -1 (.f64 (pow.f64 y 3) (fma.f64 -1/2 z (fma.f64 -1 (/.f64 (.f64 z (-.f64 (neg.f64 x) (fma.f64 -1/2 x (.f64 0 (/.f64 (.f64 z z) x))))) x) (.f64 z 1/6)))) x)))
(fma.f64 z y (fma.f64 (.f64 y y) (fma.f64 x -1/2 0) (-.f64 x (.f64 (pow.f64 y 3) (fma.f64 z -1/2 (-.f64 (.f64 z 1/6) (.f64 (/.f64 z x) (fma.f64 x -1/2 0))))))))
(+.f64 (.f64 (.f64 y y) (-.f64 (.f64 x -1/2) (.f64 y (-.f64 (.f64 z -1/3) (.f64 (/.f64 z x) (*.f64 x -1/2)))))) (fma.f64 z y x))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (neg.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (neg.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (neg.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (neg.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (neg.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
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(-.f64 (fma.f64 -1 (.f64 (/.f64 (cos.f64 y) (.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (.f64 -1 (+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)) (/.f64 (.f64 x x) (pow.f64 (sin.f64 y) 3))) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 4)) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) (.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2)) (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)) (/.f64 x (/.f64 (pow.f64 (sin.f64 y) 3) x))))) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 4)) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 4)))) (/.f64 (/.f64 -1 z) (sin.f64 y)))
(fma.f64 -1 (fma.f64 (/.f64 (cos.f64 y) (.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2)) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)) (/.f64 x (/.f64 (pow.f64 (sin.f64 y) 3) x)) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 4)) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 4))))) (/.f64 (/.f64 -1 z) (sin.f64 y)))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 -1 z) (sin.f64 y))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (.f64 z (sin.f64 y))))
(-.f64 (neg.f64 (.f64 (/.f64 (cos.f64 y) (.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(fma.f64 -1 (/.f64 (cos.f64 y) (/.f64 (*.f64 z z) (/.f64 x (pow.f64 (sin.f64 y) 2)))) (/.f64 (/.f64 -1 z) (sin.f64 y)))
(-.f64 (/.f64 (/.f64 -1 z) (sin.f64 y)) (.f64 (/.f64 (cos.f64 y) (.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 -1 (.f64 (/.f64 (cos.f64 y) (.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (neg.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)) (/.f64 (.f64 x x) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(fma.f64 -1 (fma.f64 (/.f64 (cos.f64 y) (.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2)) (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)) (/.f64 x (/.f64 (pow.f64 (sin.f64 y) 3) x)))) (/.f64 (/.f64 -1 z) (sin.f64 y)))
(-.f64 (/.f64 (/.f64 -1 z) (sin.f64 y)) (fma.f64 (/.f64 (cos.f64 y) (.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2)) (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)) (/.f64 x (/.f64 (pow.f64 (sin.f64 y) 3) x)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (.f64 z (sin.f64 y))))
(-.f64 (fma.f64 -1 (.f64 (/.f64 (cos.f64 y) (.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (.f64 -1 (+.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)) (/.f64 (.f64 x x) (pow.f64 (sin.f64 y) 3))) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 4)) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) (.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2)) (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)) (/.f64 x (/.f64 (pow.f64 (sin.f64 y) 3) x))))) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 4)) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 4)))) (/.f64 (/.f64 -1 z) (sin.f64 y)))
(fma.f64 -1 (fma.f64 (/.f64 (cos.f64 y) (.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2)) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)) (/.f64 x (/.f64 (pow.f64 (sin.f64 y) 3) x)) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 4)) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 4))))) (/.f64 (/.f64 -1 z) (sin.f64 y)))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 z (.f64 z (*.f64 y y)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 -1/3 (.f64 (.f64 z z) (pow.f64 y 4)) (.f64 (.f64 y y) (*.f64 z z)))
(.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 (pow.f64 y 4) -1/3)))
(.f64 (.f64 z z) (fma.f64 (pow.f64 y 4) -1/3 (*.f64 y y)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(fma.f64 -1/3 (.f64 (.f64 z z) (pow.f64 y 4)) (fma.f64 (.f64 (.f64 z z) 2/45) (pow.f64 y 6) (.f64 (.f64 y y) (*.f64 z z))))
(+.f64 (.f64 (.f64 z z) (.f64 2/45 (pow.f64 y 6))) (.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 (pow.f64 y 4) -1/3))))
(.f64 (.f64 z z) (+.f64 (.f64 2/45 (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) -1/3 (.f64 y y))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (pow.f64 y 8) (+.f64 (.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/2520 (pow.f64 z 2)))))))
(fma.f64 -1/3 (.f64 (.f64 z z) (pow.f64 y 4)) (fma.f64 (.f64 (.f64 z z) 2/45) (pow.f64 y 6) (fma.f64 (.f64 y y) (.f64 z z) (.f64 (pow.f64 y 8) (.f64 (*.f64 z z) -1/315)))))
(fma.f64 -1/3 (.f64 z (.f64 z (pow.f64 y 4))) (fma.f64 (.f64 z (.f64 z 2/45)) (pow.f64 y 6) (fma.f64 (pow.f64 y 8) (.f64 z (.f64 z -1/315)) (.f64 z (.f64 z (*.f64 y y))))))
(+.f64 (.f64 (.f64 z z) (+.f64 (.f64 2/45 (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) -1/3 (.f64 y y)))) (.f64 (pow.f64 y 8) (.f64 (*.f64 z z) -1/315)))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))

eval225.0ms (2.6%)

Compiler: Compiled 16439 to 6300 computations (61.7% saved)

prune123.0ms (1.4%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	630	18	648
Fresh	11	1	12
Picked	1	0	1
Done	2	3	5
Total	644	22	666

Error

Counts

666 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	31.4b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
	25.2b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 y z))
	34.6b	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
	0.6b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
	0.9b	(+.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2))) (.f64 z (sin.f64 y)))
▶	32.2b	(fma.f64 y (fma.f64 y (.f64 x -1/2) z) (fma.f64 z (.f64 -1/6 (pow.f64 y 3)) x))
▶	0.2b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
	39.0b	x
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	36.0b	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 2)
✓	31.0b	(+.f64 (*.f64 y z) x)
	45.0b	(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	13.1b	(+.f64 x (*.f64 z (sin.f64 y)))
▶	33.6b	(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	36.3b	(*.f64 z (sin.f64 y))
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	51.1b	(.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (neg.f64 z))) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
▶	45.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y z))
	2.3b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	1.3b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 3)
▶	26.5b	(*.f64 (cos.f64 y) x)
	33.2b	(+.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))

Compiler

Compiled 633 to 413 computations (34.8% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series26.0ms (0.3%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(*.f64 (cbrt.f64 (cos.f64 y)) x)
4.0ms	y	@	-inf	(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 (cbrt.f64 (cos.f64 y)) x)
2.0ms	y	@	-inf	(*.f64 (cbrt.f64 (cos.f64 y)) x)

rewrite59.0ms (0.7%)

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	27
1	176	27
2	1898	27

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-def_binary64`
504×	`fma-neg_binary64`
485×	`distribute-rgt-neg-in_binary64`
438×	`cancel-sign-sub-inv_binary64`
370×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	482
1	159	469
2	405	457
3	1279	454
4	3043	454
5	4388	454
6	6344	454
7	7955	454

Stop Event

1×	node limit

Counts

128 → 106

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -23/6480 (.f64 (pow.f64 y 6) x)) x)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) x)

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

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

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

series2.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite34.0ms (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) x)

Outputs

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

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

630×	`distribute-lft-out_binary64`
600×	`distribute-rgt-out_binary64`
421×	`*-commutative_binary64`
420×	`associate-+l+_binary64`
420×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	54	64
2	148	58
3	478	55
4	2011	55
5	4175	55
6	4448	55
7	4779	55
8	5292	55
9	6041	55
10	6854	55

Stop Event

1×	node limit

Counts

15 → 18

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0%)

Counts

1 → 25

Calls

9 calls:

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

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`pow1_binary64`
771×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
751×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	177	12
2	2112	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

909×	`fma-def_binary64`
690×	`sqr-pow_binary64`
477×	`distribute-lft-out_binary64`
451×	`*-commutative_binary64`
444×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	222
1	58	222
2	139	219
3	368	219
4	1222	216
5	2710	216
6	3868	216
7	3949	216
8	4071	216
9	4221	216
10	4483	216
11	4742	216
12	5097	216
13	5473	216
14	5954	216
15	6541	216
16	7257	216
17	7583	216
18	7845	216

Stop Event

1×	node limit

Counts

46 → 32

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.4b	(fma.f64 y (fma.f64 y (.f64 x -1/2) z) (fma.f64 z (.f64 -1/6 (pow.f64 y 3)) x))
	2.9b	(fma.f64 z (*.f64 -1/6 (pow.f64 y 3)) x)
	0.3b	(*.f64 -1/6 (pow.f64 y 3))
✓	0.3b	(*.f64 -1/6 (pow.f64 y 3))
✓	2.9b	(fma.f64 z (*.f64 -1/6 (pow.f64 y 3)) x)
✓	3.4b	(fma.f64 y (fma.f64 y (.f64 x -1/2) z) (fma.f64 z (.f64 -1/6 (pow.f64 y 3)) x))

series13.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 y (fma.f64 y (.f64 x -1/2) z) (fma.f64 z (.f64 -1/6 (pow.f64 y 3)) x))
1.0ms	z	@	0	(fma.f64 y (fma.f64 y (.f64 x -1/2) z) (fma.f64 z (.f64 -1/6 (pow.f64 y 3)) x))
1.0ms	x	@	-inf	(fma.f64 y (fma.f64 y (.f64 x -1/2) z) (fma.f64 z (.f64 -1/6 (pow.f64 y 3)) x))
1.0ms	x	@	inf	(fma.f64 y (fma.f64 y (.f64 x -1/2) z) (fma.f64 z (.f64 -1/6 (pow.f64 y 3)) x))
1.0ms	y	@	inf	(fma.f64 y (fma.f64 y (.f64 x -1/2) z) (fma.f64 z (.f64 -1/6 (pow.f64 y 3)) x))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary64`
380×	`pow-prod-down_binary64`
327×	`pow2_binary64`
228×	`expm1-udef_binary64`
228×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	271	40
2	3021	40

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 y 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (cbrt.f64 -1/6)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (cbrt.f64 -1/6)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 y 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (cbrt.f64 -1/6)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (cbrt.f64 -1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 y 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 y 3))))))))

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-def_binary64`
533×	`distribute-rgt-neg-in_binary64`
525×	`associate-l_binary64`
429×	`distribute-lft-neg-in_binary64`
394×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1086
1	145	1002
2	361	1002
3	1088	1000
4	3880	1000

Stop Event

1×	node limit

Counts

162 → 118

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series10.0ms (0.1%)

Counts

3 → 53

Calls

18 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	509
1	17	509
2	19	509

Stop Event

1×

saturated

Counts

107 → 62

Calls

Call 1

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

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

eval143.0ms (1.6%)

Compiler: Compiled 7267 to 3180 computations (56.2% saved)

prune88.0ms (1%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	405	10	415
Fresh	3	11	14
Picked	1	0	1
Done	2	5	7
Total	411	26	437

Error

Counts

437 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	34.6b	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
	0.6b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
	62.9b	(.f64 y (.f64 y (+.f64 (.f64 x -1/2) (.f64 y (*.f64 z -1/6)))))
▶	36.0b	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 2)
✓	31.0b	(+.f64 (*.f64 y z) x)
▶	53.7b	(*.f64 y z)
	45.0b	(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	13.1b	(+.f64 x (*.f64 z (sin.f64 y)))
	49.5b	(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3/2))) (sqrt.f64 x) (.f64 y z))
	32.2b	(+.f64 (fma.f64 y (fma.f64 y (.f64 x -1/2) z) (.f64 z (*.f64 -1/6 (pow.f64 y 3)))) x)
✓	26.5b	(*.f64 (cos.f64 y) x)
▶	0.2b	(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
▶	39.9b	(fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z) x)
	36.3b	(*.f64 z (sin.f64 y))
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓	45.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y z))
	39.0b	x
	51.1b	(.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (neg.f64 z))) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	31.4b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
	2.3b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	48.0b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
▶	27.2b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
	1.3b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 3)
	37.6b	(fma.f64 (-.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) 1) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	33.2b	(+.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))

Compiler

Compiled 698 to 464 computations (33.5% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cbrt.f64 (cos.f64 y)) x)
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
	0.1b	(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 (cbrt.f64 (cos.f64 y)) x)
	0.2b	(pow.f64 (cos.f64 y) 2)
	0.3b	(cbrt.f64 (cos.f64 y))

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize3.0ms (0%)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.7b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
	0.5b	(cbrt.f64 (*.f64 (cos.f64 y) x))
	0.1b	(*.f64 (cos.f64 y) x)
	0.1b	(*.f64 (cos.f64 y) x)
✓	0.5b	(cbrt.f64 (*.f64 (cos.f64 y) x))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)

series4.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite47.0ms (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
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(cbrt.f64 (*.f64 (cos.f64 y) x))

Outputs

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

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

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-l_binary64`
651×	`associate-r_binary64`
581×	`fma-def_binary64`
421×	`distribute-rgt-out_binary64`
334×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	527
1	296	481
2	984	416
3	5712	383

Stop Event

1×	node limit

Counts

76 → 70

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 1 1/3))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)

Outputs
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 x (.f64 (.f64 x -1/2) (*.f64 y y)))
(fma.f64 (.f64 x -1/2) (.f64 y y) x)
(fma.f64 y (.f64 x (.f64 -1/2 y)) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 x (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 x -1/24)) (fma.f64 1/18 x (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x)))))))
(+.f64 x (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (fma.f64 1/3 (.f64 x -1/24) (fma.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))))))
(fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (fma.f64 x 1/18 (.f64 x -1/72))) x))
(fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (.f64 x 1/24)) x))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 1 1/3))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(+.f64 x (fma.f64 (fma.f64 -1/6 (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216)))) (.f64 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) -1/9)) (fma.f64 1/3 (.f64 1 (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216)))) (.f64 -1/9 (.f64 x -1/24))))) (pow.f64 y 6) (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 x -1/24)) (fma.f64 1/18 x (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))))))))
(+.f64 x (fma.f64 (+.f64 (fma.f64 1/3 (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72))) (.f64 (.f64 -1/9 x) -1/24)) (.f64 (cbrt.f64 x) (+.f64 (.f64 -1/6 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x))))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72)))) (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (.f64 -1/9 x) -1/24)))))) (pow.f64 y 6) (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (fma.f64 1/3 (.f64 x -1/24) (fma.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18)))))))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 2/3 (+.f64 (.f64 x -11/720) (.f64 x 1/216))) (.f64 x 1/216)))) (fma.f64 1/3 (+.f64 (.f64 x -11/720) (.f64 x 1/216)) (.f64 x 1/216))) (pow.f64 y 6) (fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (fma.f64 x 1/18 (*.f64 x -1/72))) x)))
(fma.f64 (fma.f64 (cbrt.f64 x) (+.f64 (.f64 (cbrt.f64 (.f64 x x)) -1/216) (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 x 1/216) (+.f64 (.f64 2/3 (.f64 x -23/2160)) (.f64 x 1/216))))) (fma.f64 1/3 (.f64 x -23/2160) (.f64 x 1/216))) (pow.f64 y 6) (fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/24)) x)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (.f64 1 (cos.f64 y)) x)
(*.f64 x (cos.f64 y))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (cbrt.f64 x) (.f64 (.f64 -1/6 (cbrt.f64 x)) (*.f64 y y)))
(fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 x))) (cbrt.f64 x))
(.f64 (+.f64 (.f64 -1/6 (*.f64 y y)) 1) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/24))) (.f64 (.f64 -1/6 (cbrt.f64 x)) (*.f64 y y))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y 4) (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 (.f64 x x)))))) (fma.f64 -1/6 (.f64 y (*.f64 y (cbrt.f64 x))) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/72)) (.f64 (+.f64 (.f64 -1/6 (.f64 y y)) 1) (cbrt.f64 x)))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216))) (.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/24))) (.f64 (.f64 -1/6 (cbrt.f64 x)) (*.f64 y y)))))
(+.f64 (.f64 1/3 (+.f64 (.f64 (pow.f64 y 6) (.f64 (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72))) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 (pow.f64 y 4) (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 (.f64 x x))))))) (fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 x))) (cbrt.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (+.f64 (.f64 (+.f64 (.f64 x -11/720) (.f64 x 1/216)) (pow.f64 y 6)) (.f64 (pow.f64 y 4) (.f64 x -1/24)))) (.f64 (+.f64 (.f64 -1/6 (.f64 y y)) 1) (cbrt.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (+.f64 (.f64 (pow.f64 y 4) (.f64 x -1/24)) (.f64 (.f64 x -23/2160) (pow.f64 y 6)))) (.f64 (+.f64 (.f64 -1/6 (*.f64 y y)) 1) (cbrt.f64 x)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series18.0ms (0.2%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 2)
2.0ms	y	@	inf	(sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 2)
1.0ms	z	@	0	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 2)

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
397×	`exp-prod_binary64`
368×	`pow-prod-down_binary64`
336×	`fma-def_binary64`
294×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	252	26
2	2929	26

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) 2)
(sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))

Outputs

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

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

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

756×	`fma-def_binary64`
454×	`times-frac_binary64`
414×	`*-commutative_binary64`
372×	`unswap-sqr_binary64`
310×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	990
1	446	976
2	1605	933
3	6212	917

Stop Event

1×	node limit

Counts

155 → 151

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/2 x)) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/2 x)) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) x)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y)))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))))) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y)))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))))) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 3)) (.f64 z (sin.f64 y)))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))))))
(sqrt.f64 x)
(+.f64 (.f64 1/2 (.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 z) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))

Outputs
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/2 x)) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) x))
(fma.f64 y z (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 z z) x) (.f64 x -1/2)) (pow.f64 (.f64 1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) x))
(fma.f64 y z (fma.f64 (.f64 y y) (-.f64 (fma.f64 x -1/2 (/.f64 (.f64 1/4 (.f64 z z)) x)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z 1/2)) 2)) x))
(fma.f64 y (.f64 y (fma.f64 x -1/2 (.f64 1/4 (-.f64 (/.f64 z (/.f64 x z)) (.f64 (.f64 z z) (/.f64 1 x)))))) (fma.f64 y z x))
(fma.f64 y (.f64 y (fma.f64 x -1/2 (.f64 (.f64 z z) (-.f64 (/.f64 1/4 x) (.f64 1/4 (/.f64 1 x)))))) (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/2 x)) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 z z) x) (.f64 x -1/2)) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 (.f64 y y) (-.f64 (fma.f64 x -1/2 (/.f64 (.f64 1/4 (.f64 z z)) x)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 z 1/2)) 2)) x)))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (fma.f64 y (.f64 y (fma.f64 x -1/2 (.f64 1/4 (-.f64 (/.f64 z (/.f64 x z)) (.f64 (*.f64 z z) (/.f64 1 x)))))) x))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (fma.f64 y (.f64 y (fma.f64 x -1/2 (.f64 (.f64 z z) (-.f64 (/.f64 1/4 x) (*.f64 1/4 (/.f64 1 x)))))) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y)))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))))) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y)))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))))) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 3)) (.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))
(fma.f64 1/2 (.f64 (sin.f64 y) (.f64 z (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (sqrt.f64 (.f64 (cos.f64 y) x)))
(fma.f64 z (.f64 1/2 (.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))))) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x)))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) (pow.f64 x 3)))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 -1/8 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) (pow.f64 x 3)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (.f64 z (sin.f64 y)) 1/2))))
(fma.f64 z (.f64 1/2 (.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))))) (fma.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z)) (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x)))) (fma.f64 1/16 (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) (pow.f64 x 3))))))))
(+.f64 (fma.f64 1/2 (.f64 (sin.f64 y) (.f64 z (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (sqrt.f64 (.f64 (cos.f64 y) x))) (fma.f64 -1/8 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) (pow.f64 x 3)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))) (.f64 1/16 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z)) (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))) (.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 z 3) 1/16)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))) (.f64 z (*.f64 (sin.f64 y) 1/2))))))
(sqrt.f64 x)
(+.f64 (.f64 1/2 (.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))
(fma.f64 y (.f64 z (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (.f64 y z) 1/2) (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 x -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z 1/2)) 2))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 y z) (.f64 y (.f64 y (fma.f64 x -1/2 (.f64 -1/4 (.f64 (*.f64 z z) (/.f64 1 x)))))))) (sqrt.f64 x))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y (+.f64 z (.f64 y (fma.f64 x -1/2 (.f64 -1/4 (.f64 (.f64 z z) (/.f64 1 x)))))))) (sqrt.f64 x))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 z) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (pow.f64 y 3) (-.f64 (.f64 z -1/6) (.f64 1/2 (/.f64 (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))))) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (.f64 1/2 (pow.f64 y 3)) (fma.f64 z -1/6 (.f64 -1/2 (/.f64 (-.f64 (.f64 x -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 z 1/2)) 2)) (/.f64 x z))))) (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 x -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 z 1/2)) 2))))) (fma.f64 1/2 (.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 y (.f64 z 1/2)) (.f64 1/2 (+.f64 (.f64 (pow.f64 y 3) (fma.f64 -1/2 (.f64 z (/.f64 (fma.f64 x -1/2 (.f64 -1/4 (.f64 (.f64 z z) (/.f64 1 x)))) x)) (.f64 z -1/6))) (.f64 y (.f64 y (fma.f64 x -1/2 (.f64 -1/4 (.f64 (*.f64 z z) (/.f64 1 x)))))))))))
(+.f64 (sqrt.f64 x) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (+.f64 (fma.f64 x -1/2 (.f64 -1/4 (.f64 (.f64 z z) (/.f64 1 x)))) (.f64 y (.f64 z (-.f64 -1/6 (/.f64 (.f64 1/2 (fma.f64 x -1/2 (.f64 -1/4 (.f64 (.f64 z z) (/.f64 1 x))))) x)))))))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (cos.f64 y) (.f64 x (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))))))
(fma.f64 1/2 (.f64 (cos.f64 y) (.f64 x (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (sqrt.f64 (.f64 z (sin.f64 y))))
(fma.f64 (.f64 (cos.f64 y) x) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y))))) (sqrt.f64 (.f64 z (sin.f64 y))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (fma.f64 1/2 (.f64 (cos.f64 y) (.f64 x (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (fma.f64 -1/8 (.f64 (.f64 x x) (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) (.f64 (*.f64 (cos.f64 y) x) 1/2))))
(fma.f64 (cos.f64 y) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (.f64 -1/8 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (fma.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5))))) (fma.f64 1/2 (.f64 (cos.f64 y) (.f64 x (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (fma.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (sin.f64 y) 5)))) (fma.f64 -1/8 (.f64 (.f64 x x) (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) (.f64 (*.f64 (cos.f64 y) x) 1/2)))))
(fma.f64 (pow.f64 (cos.f64 y) 3) (.f64 1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (sin.f64 y) 5))))) (fma.f64 (cos.f64 y) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (.f64 -1/8 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) (sqrt.f64 (*.f64 z (sin.f64 y))))))

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 33

Calls

9 calls:

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

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
677×	`add-log-exp_binary64`
677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
659×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	157	9
2	1854	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	204
1	10	204
2	11	204

Stop Event

1×

saturated

Counts

54 → 26

Calls

Call 1

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

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

eval229.0ms (2.6%)

Compiler: Compiled 8916 to 3882 computations (56.5% saved)

prune187.0ms (2.1%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	481	9	490
Fresh	6	10	16
Picked	0	1	1
Done	3	6	9
Total	490	26	516

Error

Counts

516 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	40.0b	(fma.f64 (pow.f64 (pow.f64 (sin.f64 y) 1/4) 2) (*.f64 (sqrt.f64 (sin.f64 y)) z) x)
	34.6b	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
	62.9b	(.f64 y (.f64 y (+.f64 (.f64 x -1/2) (.f64 y (*.f64 z -1/6)))))
	27.2b	(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
	2.3b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	48.0b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	53.7b	(*.f64 y z)
✓	31.0b	(+.f64 (*.f64 y z) x)
	46.3b	(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
	45.0b	(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	13.1b	(+.f64 x (*.f64 z (sin.f64 y)))
	49.5b	(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3/2))) (sqrt.f64 x) (.f64 y z))
	14.1b	(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) 3)
	32.2b	(+.f64 (fma.f64 y (fma.f64 y (.f64 x -1/2) z) (.f64 z (*.f64 -1/6 (pow.f64 y 3)))) x)
✓	39.9b	(fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z) x)
	36.3b	(*.f64 z (sin.f64 y))
	31.4b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (cos.f64 y) x))
✓	0.1b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	51.1b	(.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (neg.f64 z))) (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	39.0b	x
	14.1b	(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 (sin.f64 y) z))) 2) (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))))
	51.4b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	27.2b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
✓	26.5b	(*.f64 (cos.f64 y) x)
	43.9b	(fma.f64 (-.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) 1) (*.f64 (sqrt.f64 (sin.f64 y)) z) x)

Compiler

Compiled 364 to 241 computations (33.8% saved)

regimes140.0ms (1.6%)

Counts

55 → 1

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	x
30.0ms	z
29.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
28.0ms	y

Results

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

Compiler

Compiled 676 to 217 computations (67.9% saved)

regimes50.0ms (0.6%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
10.0ms	y
10.0ms	z
10.0ms	x

Results

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

Compiler

Compiled 127 to 52 computations (59.1% saved)

regimes202.0ms (2.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

130.0ms	x
49.0ms	z
20.0ms	y

Results

Error	Segments	Branch
6.3b	3	`x`
12.0b	3	`y`
8.2b	3	`z`

Compiler

Compiled 70 to 29 computations (58.6% saved)

bsearch225.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
144.0ms	4.817244721917213e+60	5.719271883307169e+62
81.0ms	-5.77061478139967e+18	-126439736.84276187

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes149.0ms (1.7%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	x
64.0ms	y
17.0ms	z

Results

Error	Segments	Branch
12.8b	5	`x`
13.1b	5	`y`
14.3b	3	`z`

Compiler

Compiled 50 to 26 computations (48% saved)

bsearch494.0ms (5.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
145.0ms	0.0945866483674307	836138949.9691805
80.0ms	4.885534198897788e-177	1.1396037939893051e-173
180.0ms	2.8268026029328564e-188	7.182794305180521e-188
89.0ms	-1.0671675090155537e-74	-4.744205650157339e-75

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes1.1s (12.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

974.0ms	y
52.0ms	x
14.0ms	z

Results

Error	Segments	Branch
23.3b	5	`x`
14.3b	3	`y`
22.5b	3	`z`

Compiler

Compiled 42 to 24 computations (42.9% saved)

bsearch153.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	3.1115023590231776e+20	3.58264908925033e+23
115.0ms	-8953734.187521322	-1.523594038198561e-8

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
x
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(.f64 y (.f64 y (+.f64 (.f64 x -1/2) (.f64 y (*.f64 z -1/6)))))

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

Calls

3 calls:

6.0ms	y
5.0ms	z
5.0ms	x

Results

Error	Segments	Branch
31.0b	1	`x`
31.0b	1	`y`
31.0b	1	`z`

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes31.0ms (0.4%)

Counts

3 → 5

Calls

Call 1

Inputs
x
x
(*.f64 y z)

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

Calls

3 calls:

18.0ms	x
8.0ms	z
4.0ms	y

Results

Error	Segments	Branch
35.4b	5	`x`
39.0b	1	`y`
37.3b	2	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch350.0ms (4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
64.0ms	0.0945866483674307	836138949.9691805
150.0ms	-4.5486852416693705e-280	-1.5383178105363438e-280
71.0ms	-5.007372374707489e-242	-4.0363806294553305e-246
64.0ms	-1.2736310184995873e-169	-3.539252496465365e-184

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes15.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

3 calls:

8.0ms	z
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
39.0b	1	`x`
39.0b	1	`y`
39.0b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	187
1	56	187

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -5770614781399669760) (.f64 (cos.f64 y) x) (if (<=.f64 x 4817244721917212976766707309213553096076376487938578398052352) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x -2717323260799925/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (.f64 (cos.f64 y) x) (if (<=.f64 x 8862832700179523/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (.f64 z (sin.f64 y)) (if (<=.f64 x 22289959667833580/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (.f64 (cos.f64 y) x) (if (<=.f64 x 1744815695223951616/18446744073709551616) (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y -38455995512481208/4294967296) (.f64 z (sin.f64 y)) (if (<=.f64 y 311150235902317756416) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 x -8658864931264583/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) x (if (<=.f64 x -6159226039698756608/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (.f64 y z) (if (<=.f64 x -4648166072683217/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176) x (if (<=.f64 x 1744815695223951616/18446744073709551616) (.f64 y z) x))))
x

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(if (<=.f64 x -5770614781399669760) (.f64 (cos.f64 y) x) (if (<=.f64 x 4817244721917212976766707309213553096076376487938578398052352) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x -5770614781399669760) (.f64 x (cos.f64 y)) (if (<=.f64 x 4817244721917212976766707309213553096076376487938578398052352) (+.f64 x (.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 x -2717323260799925/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (.f64 (cos.f64 y) x) (if (<=.f64 x 8862832700179523/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (.f64 z (sin.f64 y)) (if (<=.f64 x 22289959667833580/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (.f64 (cos.f64 y) x) (if (<=.f64 x 1744815695223951616/18446744073709551616) (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 x -2717323260799925/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (.f64 x (cos.f64 y)) (if (<=.f64 x 8862832700179523/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (.f64 (sin.f64 y) z) (if (<=.f64 x 5572489916958395/1140610154405548804660292901425072831223307126812139982644798129474818791802169346626478202829342849944660577393398601827672176180343859499563165329930553547062998668590066237520718548061650944) (.f64 x (cos.f64 y)) (if (<=.f64 x 6815686309468561/72057594037927936) (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y -38455995512481208/4294967296) (.f64 z (sin.f64 y)) (if (<=.f64 y 311150235902317756416) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (<=.f64 y -4806999439060151/536870912) (.f64 (sin.f64 y) z) (if (<=.f64 y 311150235902317756416) (+.f64 x (.f64 y z)) (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 x -8658864931264583/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) x (if (<=.f64 x -6159226039698756608/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (.f64 y z) (if (<=.f64 x -4648166072683217/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176) x (if (<=.f64 x 1744815695223951616/18446744073709551616) (.f64 y z) x))))
(if (<=.f64 x -8658864931264583/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) x (if (<=.f64 x -6014869179393317/120120269260875203679538523128148109780988153496792056586846390252202105001907707327158563177285302093576864306955287401906923050660835892188183374506238482560635630761454441237386053598226326597119676286686442018469285424714953873908233822195833562657193984) (.f64 y z) (if (<=.f64 x -4648166072683217/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176) x (if (<=.f64 x 6815686309468561/72057594037927936) (.f64 y z) x))))
x

end175.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 281 to 133 computations (52.7% saved)