Details

analyze234.0ms (2.8%)

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)

sample2.8s (33.5%)

Results

1.6s	2124×	body	1024	valid
864.0ms	5074×	body	256	valid
327.0ms	1051×	body	512	valid
5.0ms	7×	body	2048	valid

preprocess15.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (.f64 x (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)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 x (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)))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series11.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	187	24
2	2496	24

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

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

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

simplify155.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

723×	`sqr-pow_binary64`
625×	`cube-prod_binary64`
500×	`pow-sqr_binary64`
481×	`*-commutative_binary64`
391×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	654
1	147	651
2	403	631
3	1310	630
4	2090	630
5	3198	630
6	3384	630
7	3618	630
8	3888	630
9	4247	630
10	4652	630
11	5148	630
12	5720	630
13	6410	630
14	6920	630
15	7316	630
16	7708	630

Stop Event

1×	node limit

Counts

201 → 161

Calls

Call 1

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

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

eval31.0ms (0.4%)

Compiler: Compiled 2452 to 793 computations (67.7% saved)

prune37.0ms (0.4%)

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

Compiler

Compiled 502 to 320 computations (36.3% saved)

localize27.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 49 to 22 computations (55.1% saved)

series18.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
3.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	x	@	0	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
2.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
2.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	176	30
2	1898	30

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	542
1	159	527
2	410	516
3	1285	514
4	2999	514
5	4330	514
6	6300	514
7	7969	514

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1772	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	168	10
2	2279	10

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify125.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	324
1	58	324
2	139	321
3	368	321
4	1233	318
5	2705	318
6	3863	318
7	3944	318
8	4066	318
9	4216	318
10	4480	318
11	4739	318
12	5094	318
13	5470	318
14	5959	318
15	6548	318
16	7266	318
17	7594	318
18	7862	318

Stop Event

1×	node limit

Counts

73 → 47

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 33 to 9 computations (72.7% saved)

series13.0ms (0.2%)

Counts

2 → 37

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (cos.f64 y))
1.0ms	x	@	0	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	x	@	inf	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	y	@	inf	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	44	422
1	113	420
2	295	407
3	937	400
4	2477	400
5	3486	400
6	3685	400
7	3848	400
8	4014	400
9	4233	395
10	5525	395
11	5887	395
12	6343	395
13	6896	395
14	7643	395

Stop Event

1×	node limit

Counts

71 → 55

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 z) 2)
	0.3b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
	0.2b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
✓	0.3b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
✓	0.5b	(pow.f64 (cbrt.f64 z) 2)
✓	0.6b	(cbrt.f64 z)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series16.0ms (0.2%)

Counts

4 → 39

Calls

21 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

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

simplify127.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

727×	`sqr-pow_binary64`
705×	`unswap-sqr_binary64`
672×	`associate-+l+_binary64`
645×	`distribute-lft-out_binary64`
456×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	565
1	151	500
2	413	478
3	1409	464
4	2449	464
5	3520	464
6	3651	464
7	3807	464
8	3972	464
9	4169	464
10	5495	464
11	6516	464
12	7099	464
13	7620	464

Stop Event

1×	node limit

Counts

165 → 149

Calls

Call 1

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

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

eval119.0ms (1.4%)

Compiler: Compiled 8443 to 3140 computations (62.8% saved)

prune174.0ms (2.1%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	498	12	510
Fresh	6	6	12
Picked	1	0	1
Done	2	3	5
Total	507	21	528

Error

0.0b

Counts

528 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 (.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	24.8b	(*.f64 (cos.f64 y) x)
▶	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
	27.1b	(/.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))))
✓	30.7b	(+.f64 (*.f64 y z) x)
	14.4b	(fma.f64 (.f64 x (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	54.2b	(*.f64 y z)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	30.7b	(fma.f64 z y x)
	0.6b	(fma.f64 (.f64 x (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	33.7b	(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	0.7b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) (.f64 x (cos.f64 y)))
▶	16.1b	(fma.f64 (.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y)) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
	37.9b	(*.f64 z (sin.f64 y))
▶	34.3b	(exp.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
	33.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	32.1b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 3)
	37.8b	x
✓	33.2b	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 555 to 365 computations (34.2% saved)

localize25.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 57 to 28 computations (50.9% saved)

series10.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
1.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 4))
1.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 4))
1.0ms	y	@	inf	(pow.f64 (cos.f64 y) 4)
1.0ms	y	@	-inf	(*.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	181	25
2	2022	25

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

Outputs

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

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

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

simplify127.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1416×	`fma-def_binary64`
800×	`sqr-pow_binary64`
555×	`cube-prod_binary64`
381×	`pow-sqr_binary64`
370×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	452
1	138	444
2	355	436
3	1120	431
4	2442	431
5	3135	431
6	3330	431
7	3530	431
8	3757	431
9	4052	431
10	5052	431
11	5567	431
12	6181	431
13	6943	431
14	7325	431
15	7715	431

Stop Event

1×	node limit

Counts

93 → 76

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -2 (pow.f64 y 2)))
(+.f64 1 (.f64 -2 (.f64 y y)))
(fma.f64 -2 (*.f64 y y) 1)
(fma.f64 y (*.f64 -2 y) 1)
(+.f64 (.f64 5/3 (pow.f64 y 4)) (+.f64 1 (.f64 -2 (pow.f64 y 2))))
(fma.f64 5/3 (pow.f64 y 4) (+.f64 1 (.f64 -2 (.f64 y y))))
(fma.f64 5/3 (pow.f64 y 4) (fma.f64 -2 (*.f64 y y) 1))
(fma.f64 5/3 (pow.f64 y 4) (fma.f64 y (*.f64 -2 y) 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 5/3) -2) 1)
(fma.f64 -2 (*.f64 y y) (fma.f64 5/3 (pow.f64 y 4) 1))
(+.f64 (.f64 -34/45 (pow.f64 y 6)) (+.f64 (.f64 5/3 (pow.f64 y 4)) (+.f64 1 (*.f64 -2 (pow.f64 y 2)))))
(fma.f64 -34/45 (pow.f64 y 6) (fma.f64 5/3 (pow.f64 y 4) (+.f64 1 (.f64 -2 (.f64 y y)))))
(fma.f64 -34/45 (pow.f64 y 6) (fma.f64 5/3 (pow.f64 y 4) (fma.f64 -2 (*.f64 y y) 1)))
(fma.f64 5/3 (pow.f64 y 4) (fma.f64 -34/45 (pow.f64 y 6) (fma.f64 y (*.f64 -2 y) 1)))
(fma.f64 5/3 (pow.f64 y 4) (fma.f64 -34/45 (pow.f64 y 6) (fma.f64 -2 (*.f64 y y) 1)))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y 5/3) -2)) (fma.f64 -34/45 (pow.f64 y 6) 1))
(fma.f64 (.f64 y y) (fma.f64 y (fma.f64 -34/45 (pow.f64 y 3) (.f64 y 5/3)) -2) 1)
1
(+.f64 1 (*.f64 -2/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -2/3))
(fma.f64 (*.f64 y y) -2/3 1)
(fma.f64 y (*.f64 y -2/3) 1)
(+.f64 1 (+.f64 (.f64 -2/3 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -2/3 (.f64 y y) (.f64 (pow.f64 y 4) 1/9)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/9 (.f64 (.f64 y y) -2/3)))
(fma.f64 y (*.f64 y -2/3) (fma.f64 (pow.f64 y 4) 1/9 1))
(+.f64 1 (+.f64 (.f64 -2/3 (pow.f64 y 2)) (+.f64 (.f64 1/9 (pow.f64 y 4)) (*.f64 -2/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -2/3 (.f64 y y) (fma.f64 1/9 (pow.f64 y 4) (.f64 (pow.f64 y 6) -2/405))))
(+.f64 (fma.f64 (.f64 y y) -2/3 1) (fma.f64 (pow.f64 y 4) 1/9 (.f64 (pow.f64 y 6) -2/405)))
(+.f64 1 (fma.f64 y (.f64 y -2/3) (fma.f64 (pow.f64 y 4) 1/9 (.f64 (pow.f64 y 6) -2/405))))
(fma.f64 (pow.f64 y 4) 1/9 (fma.f64 (pow.f64 y 6) -2/405 (fma.f64 y (*.f64 y -2/3) 1)))
(fma.f64 y (*.f64 y -2/3) (fma.f64 (pow.f64 y 6) -2/405 (fma.f64 (pow.f64 y 4) 1/9 1)))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
x
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/3 (.f64 (.f64 y y) x) x)
(.f64 x (fma.f64 (.f64 y y) -1/3 1))
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/405 (.f64 (pow.f64 y 6) x) (fma.f64 -1/3 (.f64 (*.f64 y y) x) x))
(fma.f64 x (fma.f64 (pow.f64 y 6) -1/405 (.f64 (.f64 y y) -1/3)) x)
(.f64 x (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 (.f64 y y) -1/3 1)))
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) x)) x)))
(fma.f64 -1/405 (.f64 (pow.f64 y 6) x) (fma.f64 -1/3 (.f64 (.f64 y y) x) (fma.f64 -1/1701 (.f64 x (pow.f64 y 8)) x)))
(fma.f64 (pow.f64 y 6) (.f64 x -1/405) (fma.f64 x (fma.f64 (.f64 y y) -1/3 (*.f64 -1/1701 (pow.f64 y 8))) x))
(fma.f64 x (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (.f64 y -1/3) (.f64 -1/1701 (pow.f64 y 8)))) x)
(fma.f64 x (fma.f64 (pow.f64 y 6) (fma.f64 (.f64 y y) -1/1701 -1/405) (.f64 (*.f64 y y) -1/3)) x)
(.f64 x (fma.f64 (pow.f64 y 6) (fma.f64 (.f64 y y) -1/1701 -1/405) (fma.f64 (*.f64 y y) -1/3 1)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)

localize4.0ms (0%)

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

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
	0.0b	(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
	0.0b	(log.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
✓	0.0b	(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	2.8b	(exp.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))

Compiler

Compiled 48 to 10 computations (79.2% saved)

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`log-prod_binary64`
391×	`exp-prod_binary64`
351×	`pow-prod-down_binary64`
330×	`fma-def_binary64`
276×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	211	24
2	2682	24

Stop Event

1×	node limit

Counts

2 → 185

Calls

Call 1

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

Outputs

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

simplify144.0ms (1.7%)

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	788
1	67	788
2	160	786
3	421	782
4	1314	776
5	2697	776
6	4166	776
7	4284	776
8	4457	776
9	4668	776
10	5004	776
11	5360	776
12	5836	776
13	6376	776
14	7036	776
15	7866	776

Stop Event

1×	node limit

Counts

257 → 109

Calls

Call 1

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

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 z)
	0.3b	(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
	0.2b	(fma.f64 (.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y)) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(fma.f64 (.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y)) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
✓	0.3b	(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
	0.6b	(cbrt.f64 z)
✓	28.2b	(cbrt.f64 (*.f64 z z))

Compiler

Compiled 44 to 11 computations (75% saved)

series31.0ms (0.4%)

Counts

3 → 39

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	z	@	0	(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
1.0ms	y	@	inf	(.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y))
1.0ms	x	@	0	(fma.f64 (.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y)) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
1.0ms	z	@	-inf	(fma.f64 (.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y)) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
1.0ms	y	@	inf	(fma.f64 (.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y)) (cbrt.f64 z) (*.f64 x (cos.f64 y)))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
412×	`exp-prod_binary64`
378×	`pow-prod-down_binary64`
289×	`pow2_binary64`
231×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	232	31
2	2681	29

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

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

Outputs

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

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

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

simplify126.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

727×	`sqr-pow_binary64`
705×	`unswap-sqr_binary64`
675×	`associate-+l+_binary64`
645×	`distribute-lft-out_binary64`
456×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	565
1	151	500
2	413	478
3	1404	464
4	2440	464
5	3509	464
6	3640	464
7	3796	464
8	3961	464
9	4158	464
10	5484	464
11	6517	464
12	7100	464
13	7621	464

Stop Event

1×	node limit

Counts

145 → 128

Calls

Call 1

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

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

localize77.0ms (0.9%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 z) 2)
	0.3b	(*.f64 (cbrt.f64 z) (sin.f64 y))
	0.2b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
✓	0.3b	(*.f64 (cbrt.f64 z) (sin.f64 y))
	0.5b	(pow.f64 (cbrt.f64 z) 2)
	0.6b	(cbrt.f64 z)

Compiler

Compiled 40 to 14 computations (65% saved)

series15.0ms (0.2%)

Counts

2 → 39

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
1.0ms	y	@	inf	(*.f64 (cbrt.f64 z) (sin.f64 y))
1.0ms	z	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
1.0ms	z	@	0	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
1.0ms	y	@	inf	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log-prod_binary64`
410×	`exp-prod_binary64`
352×	`pow-prod-down_binary64`
291×	`pow2_binary64`
231×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	238	22
2	2697	20

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1935×	`fma-def_binary64`
675×	`*-commutative_binary64`
663×	`distribute-lft-out_binary64`
647×	`associate-+l+_binary64`
545×	`unswap-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	50	491
1	148	446
2	401	436
3	1365	428
4	2334	428
5	3161	428
6	3266	428
7	3396	428
8	3533	410
9	5409	410
10	6756	410
11	7346	410
12	7885	410

Stop Event

1×	node limit

Counts

99 → 82

Calls

Call 1

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

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

eval158.0ms (1.9%)

Compiler: Compiled 11537 to 4230 computations (63.3% saved)

prune216.0ms (2.6%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	640	5	645
Fresh	4	9	13
Picked	0	1	1
Done	0	7	7
Total	644	22	666

Error

0.0b

Counts

666 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 (.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	24.8b	(*.f64 (cos.f64 y) x)
✓	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
▶	27.1b	(/.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))))
✓	30.7b	(+.f64 (*.f64 y z) x)
	14.4b	(fma.f64 (.f64 x (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	54.2b	(*.f64 y z)
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	37.8b	x
	32.1b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 3)
▶	0.6b	(fma.f64 (.f64 x (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	0.7b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) (.f64 x (cos.f64 y)))
✓	16.1b	(fma.f64 (.f64 (cbrt.f64 (.f64 z z)) (sin.f64 y)) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
	37.9b	(*.f64 z (sin.f64 y))
▶	33.7b	(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
✓	34.3b	(exp.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
▶	33.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
▶	30.7b	(fma.f64 z y x)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	33.2b	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 518 to 338 computations (34.7% saved)

localize92.0ms (1.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(cos.f64 (*.f64 2 y))
	0.1b	(.f64 x (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 y))))))
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(fma.f64 (.f64 x (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.3b	(cos.f64 (*.f64 2 y))
✓	0.3b	(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))
	0.4b	(cbrt.f64 (cos.f64 y))
✓	0.5b	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))

Compiler

Compiled 79 to 53 computations (32.9% saved)

series6.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))
1.0ms	y	@	-inf	(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))
1.0ms	y	@	inf	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
0.0ms	y	@	-inf	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
0.0ms	y	@	0	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

947×	`pow1_binary64`
884×	`add-log-exp_binary64`
883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
868×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	194	20
2	2367	20

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs
(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))
(cos.f64 (*.f64 2 y))

Outputs

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

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

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

892×	`distribute-rgt-neg-in_binary64`
629×	`fma-def_binary64`
565×	`associate-l_binary64`
425×	`unswap-sqr_binary64`
418×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	266
1	116	237
2	281	231
3	875	231
4	3497	231
5	6988	231

Stop Event

1×	node limit

Counts

103 → 104

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
1
(+.f64 1 (*.f64 -1/3 (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 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
1
(+.f64 1 (*.f64 -2 (pow.f64 y 2)))
(+.f64 (.f64 2/3 (pow.f64 y 4)) (+.f64 1 (.f64 -2 (pow.f64 y 2))))
(+.f64 (.f64 -4/45 (pow.f64 y 6)) (+.f64 (.f64 2/3 (pow.f64 y 4)) (+.f64 1 (*.f64 -2 (pow.f64 y 2)))))

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

localize4.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 43 to 14 computations (67.4% saved)

series25.0ms (0.3%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	(sqrt.f64 (*.f64 x (cos.f64 y)))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	163	14
2	1591	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

432×	`*-commutative_binary64`
402×	`distribute-rgt-in_binary64`
394×	`distribute-lft-in_binary64`
293×	`unswap-sqr_binary64`
263×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	353
1	148	349
2	412	298
3	1772	277
4	5141	277

Stop Event

1×	node limit

Counts

74 → 66

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) 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)
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 x) (.f64 -1/4 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))

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 (.f64 y y) (.f64 x -1/2) x)
(fma.f64 x (.f64 -1/2 (.f64 y y)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) x))
(fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (*.f64 (pow.f64 y 4) 1/24)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) (*.f64 x 1/24) x))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (+.f64 (.f64 (*.f64 y y) -1/4) 1) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 (pow.f64 y 4) (.f64 (fma.f64 x 1/24 (.f64 x -1/16)) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(fma.f64 (pow.f64 y 4) (.f64 1/2 (.f64 (.f64 x -1/48) (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (.f64 x -1/48) (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 x) (.f64 -1/4 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (+.f64 (fma.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (pow.f64 y 6) (+.f64 (.f64 x -1/720) (.f64 1/4 (-.f64 (.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)))))))))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/2 (.f64 (fma.f64 x -1/720 (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 (pow.f64 y 4) (fma.f64 x 1/24 (.f64 x -1/16))) (.f64 (pow.f64 y 6) (fma.f64 (fma.f64 x 1/24 (.f64 x -1/16)) 1/4 (*.f64 x -1/720))))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/2 (+.f64 (.f64 (pow.f64 y 4) (.f64 x -1/48)) (.f64 (pow.f64 y 6) (fma.f64 x -1/720 (.f64 (*.f64 x -1/48) 1/4)))))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series8.0ms (0.1%)

Counts

3 → 53

Calls

18 calls:

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

rewrite126.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

simplify13.0ms (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)))

localize29.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 x (cos.f64 y)) 2)
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
	0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.2b	(/.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))))
✓	0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 2)
✓	2.6b	(-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))
✓	25.5b	(/.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)))

Compiler

Compiled 102 to 33 computations (67.6% saved)

series24.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(/.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)))
2.0ms	y	@	0	(/.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)))
2.0ms	y	@	-inf	(/.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)))
1.0ms	x	@	0	(/.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)))
1.0ms	x	@	inf	(/.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)))

rewrite120.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`fma-def_binary64`
353×	`fma-neg_binary64`
305×	`expm1-udef_binary64`
305×	`log1p-udef_binary64`
260×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	104
1	370	56
2	5229	56

Stop Event

1×	node limit

Counts

4 → 287

Calls

Call 1

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

Outputs
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(.f64 z (sin.f64 y)))) (neg.f64 (pow.f64 (.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2)) (.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (.f64 x (cos.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 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 (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)))))))

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

947×	`associate-/l*_binary64`
779×	`fma-def_binary64`
667×	`associate-/r*_binary64`
303×	`associate-*l/_binary64`
246×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	3577
1	518	3456
2	2072	3408

Stop Event

1×	node limit

Counts

419 → 351

Calls

Call 1

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

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

eval311.0ms (3.7%)

Compiler: Compiled 18729 to 7564 computations (59.6% saved)

prune139.0ms (1.7%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	735	13	748
Fresh	5	4	9
Picked	1	0	1
Done	6	6	12
Total	747	23	770

Error

0.0b

Counts

770 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	40.6b	(/.f64 1 (-.f64 (/.f64 1 x) (.f64 (/.f64 z (.f64 x x)) y)))
✓	30.7b	(+.f64 (*.f64 y z) x)
✓	34.3b	(exp.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
	38.0b	(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
	37.9b	(/.f64 1 (/.f64 1 x))
✓	54.2b	(*.f64 y z)
	41.5b	(/.f64 1 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2)))))
	33.2b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
	41.1b	(fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z) x)
✓	30.7b	(fma.f64 z y x)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	14.4b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	32.1b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 3)
	1.4b	(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3))
	51.5b	(/.f64 1 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) 2)))))
	24.9b	(/.f64 1 (/.f64 (/.f64 1 x) (cos.f64 y)))
	0.7b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) (.f64 x (cos.f64 y)))
	24.8b	(*.f64 (cos.f64 y) x)
	37.9b	(*.f64 z (sin.f64 y))
✓	33.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	37.8b	x
	34.0b	(+.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) 2) 2) (.f64 z (sin.f64 y)))

Compiler

Compiled 305 to 211 computations (30.8% saved)

regimes63.0ms (0.8%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
12.0ms	z
12.0ms	x
11.0ms	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 263 to 114 computations (56.7% saved)

regimes165.0ms (2%)

Counts

10 → 9

Calls

Call 1

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

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

Calls

3 calls:

83.0ms	x
51.0ms	z
28.0ms	y

Results

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

Compiler

Compiled 70 to 41 computations (41.4% saved)

bsearch615.0ms (7.4%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
59.0ms	1.0320190436123988e+189	1.7624802837630254e+193
62.0ms	7.266274041986495e+147	1.2660493489043497e+153
98.0ms	8.044793878156357e+126	1.980518491885714e+130
76.0ms	1.2367901634640969e+122	1.0821002624354625e+124
67.0ms	1.3343980466546453e+111	9.216405552542221e+111
121.0ms	-3.0844967116570647e+97	-1.4906077844388368e+95
57.0ms	-2.784487020553269e+191	-8.037204031617304e+186
75.0ms	-2.2721934532230194e+217	-1.8138213738370814e+217

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes97.0ms (1.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	y
33.0ms	x
28.0ms	z

Results

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

Compiler

Compiled 46 to 28 computations (39.1% saved)

bsearch90.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	0.011147630301063862	3243.7591855535866
44.0ms	-901.760773367421	-1.0491666815934236e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes49.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
4.0ms	z
4.0ms	y

Results

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

Compiler

Compiled 42 to 26 computations (38.1% saved)

regimes58.0ms (0.7%)

Accuracy

Total -27.5b remaining (-79%)

Threshold costs -27.5b (-79%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)
(/.f64 1 (/.f64 1 x))

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

Calls

3 calls:

44.0ms	x
9.0ms	z
5.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch166.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	1.7624802837630254e+193	2.1524971661486087e+194
106.0ms	-3.0050395976929094e+221	-2.2721934532230194e+217

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	177
1	54	177

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -22721934532230193824584977359266195340617574535490131243415885236791832385143607154226008353146417854511500599159878868284524125779494752231461506227591064292719502132081065389890377306918853540298383750919357238083584) (.f64 z (sin.f64 y)) (if (<=.f64 z -278448702055326903155856894315997801073806987535006270694351011343751235447297674535435176014248832331472878854929621358298749473449892747013322289413733083983996457877651942478771889601773568) (+.f64 (.f64 y z) x) (if (<=.f64 z -30844967116570647256851871788219771170850348333491433827796048252972321881493910376038389556183040) (.f64 z (sin.f64 y)) (if (<=.f64 z 1334398046654645342522884996868800559124664836258987230523927795053595203929053155764605065394437388415193317376) (.f64 (cos.f64 y) x) (if (<=.f64 z 123679016346409690298772160215497919087313691384502389240632697809788012520435797356785207842125701516464596150257771872256) (.f64 z (sin.f64 y)) (if (<=.f64 z 8044793878156357477144507949816749125050440122883175951811268184952076546666669789801366965655922226914226553500317917405773824) (.f64 (cos.f64 y) x) (if (<=.f64 z 7266274041986494527891679842007538463406578355560602617875581353890142665510223739312008890055761246859091871774959884544394135912557278953688006656) (.f64 z (sin.f64 y)) (if (<=.f64 z 1032019043612398842085648241305874677323896981497314825096128886732788780331786256886515725091684960854272637940192876234838133980990377853104871836085885556018849102731104192426995609501696) (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))))
(if (<=.f64 y -3965985823159031/4398046511104) (.f64 z (sin.f64 y)) (if (<=.f64 y 6426171349751713/576460752303423488) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 z -300503959769290938717398314506711743715179909553366775164131050072164125601658119830288431892741439694588735974944504830345432042646574058244269232339717879602467322990115354465133709353282650240424634572932368843631755264) (.f64 y z) (if (<=.f64 z 17624802837630254051780781360388149395679206328209013519984195560738516750806735796878664427157076184910852784080420052317957177043604134406446341886396442617677821367526107660276557195121786880) x (.f64 y z)))
x

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(if (<=.f64 z -22721934532230193824584977359266195340617574535490131243415885236791832385143607154226008353146417854511500599159878868284524125779494752231461506227591064292719502132081065389890377306918853540298383750919357238083584) (.f64 z (sin.f64 y)) (if (<=.f64 z -278448702055326903155856894315997801073806987535006270694351011343751235447297674535435176014248832331472878854929621358298749473449892747013322289413733083983996457877651942478771889601773568) (+.f64 (.f64 y z) x) (if (<=.f64 z -30844967116570647256851871788219771170850348333491433827796048252972321881493910376038389556183040) (.f64 z (sin.f64 y)) (if (<=.f64 z 1334398046654645342522884996868800559124664836258987230523927795053595203929053155764605065394437388415193317376) (.f64 (cos.f64 y) x) (if (<=.f64 z 123679016346409690298772160215497919087313691384502389240632697809788012520435797356785207842125701516464596150257771872256) (.f64 z (sin.f64 y)) (if (<=.f64 z 8044793878156357477144507949816749125050440122883175951811268184952076546666669789801366965655922226914226553500317917405773824) (.f64 (cos.f64 y) x) (if (<=.f64 z 7266274041986494527891679842007538463406578355560602617875581353890142665510223739312008890055761246859091871774959884544394135912557278953688006656) (.f64 z (sin.f64 y)) (if (<=.f64 z 1032019043612398842085648241305874677323896981497314825096128886732788780331786256886515725091684960854272637940192876234838133980990377853104871836085885556018849102731104192426995609501696) (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))))
(if (<=.f64 z -22721934532230193824584977359266195340617574535490131243415885236791832385143607154226008353146417854511500599159878868284524125779494752231461506227591064292719502132081065389890377306918853540298383750919357238083584) (.f64 z (sin.f64 y)) (if (<=.f64 z -278448702055326903155856894315997801073806987535006270694351011343751235447297674535435176014248832331472878854929621358298749473449892747013322289413733083983996457877651942478771889601773568) (+.f64 x (.f64 y z)) (if (<=.f64 z -30844967116570647256851871788219771170850348333491433827796048252972321881493910376038389556183040) (.f64 z (sin.f64 y)) (if (<=.f64 z 1334398046654645342522884996868800559124664836258987230523927795053595203929053155764605065394437388415193317376) (.f64 x (cos.f64 y)) (if (<=.f64 z 123679016346409690298772160215497919087313691384502389240632697809788012520435797356785207842125701516464596150257771872256) (.f64 z (sin.f64 y)) (if (<=.f64 z 8044793878156357477144507949816749125050440122883175951811268184952076546666669789801366965655922226914226553500317917405773824) (.f64 x (cos.f64 y)) (if (<=.f64 z 7266274041986494527891679842007538463406578355560602617875581353890142665510223739312008890055761246859091871774959884544394135912557278953688006656) (.f64 z (sin.f64 y)) (if (<=.f64 z 1032019043612398842085648241305874677323896981497314825096128886732788780331786256886515725091684960854272637940192876234838133980990377853104871836085885556018849102731104192426995609501696) (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))))
(if (<=.f64 y -3965985823159031/4398046511104) (.f64 z (sin.f64 y)) (if (<=.f64 y 6426171349751713/576460752303423488) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (<=.f64 y -3965985823159031/4398046511104) (.f64 z (sin.f64 y)) (if (<=.f64 y 6426171349751713/576460752303423488) (+.f64 x (.f64 y z)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 z -300503959769290938717398314506711743715179909553366775164131050072164125601658119830288431892741439694588735974944504830345432042646574058244269232339717879602467322990115354465133709353282650240424634572932368843631755264) (.f64 y z) (if (<=.f64 z 17624802837630254051780781360388149395679206328209013519984195560738516750806735796878664427157076184910852784080420052317957177043604134406446341886396442617677821367526107660276557195121786880) x (.f64 y z)))
x

end67.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 261 to 118 computations (54.8% saved)