Details

analyze442.0ms (9.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
37.4%	62.4%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
65.5%	34.3%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
81.9%	17.9%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.8s (58.7%)

Results

1.5s	2070×	body	1024	valid
738.0ms	4596×	body	128	valid
417.0ms	1032×	body	512	valid
157.0ms	552×	body	256	valid
8.0ms	6×	body	2048	valid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess17.0ms (0.4%)

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 12 to 8 computations (33.3% saved)

simplify6.0ms (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)))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite43.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
81×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.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 (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 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 (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))) 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 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 cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (#(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 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)))))))))

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

609×	`distribute-rgt-neg-in_binary64`
502×	`associate-l_binary64`
420×	`fma-neg_binary64`
410×	`associate-r_binary64`
226×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	600
1	117	592
2	353	580
3	1244	579
4	3964	579

Stop Event

1×	node limit

Counts

96 → 54

Calls

Call 1

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

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

prune35.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	6	55

Error

0.0b

Counts

55 → 6

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	39.4b	(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
	30.0b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
▶	1.3b	(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
	29.1b	(/.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))))
	1.3b	(.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))

Compiler

Compiled 898 to 359 computations (60% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series82.0ms (1.7%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
32.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
30.0ms	z	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
5.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
3.0ms	y	@	0	(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`log1p-expm1-u_binary64`
857×	`expm1-log1p-u_binary64`
102×	`add-sqr-sqrt_binary64`
98×	`pow1_binary64`
97×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	224	26
2	2360	26

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

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

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

685×	`fma-neg_binary64`
578×	`fma-def_binary64`
504×	`*-commutative_binary64`
336×	`cancel-sign-sub-inv_binary64`
272×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1548
1	434	1522
2	1547	1497
3	4628	1497

Stop Event

1×	node limit

Counts

89 → 90

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/9) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/9) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/9) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))
x
(+.f64 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 4) 1/9)) x)
(-.f64 (+.f64 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 4) 1/9)) x) (.f64 1/2 (.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 4) 1/9)) x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) x)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9)) (.f64 (cos.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) z) 1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) z) 1/3)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (cos.f64 y) x))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/3) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (.f64 (sin.f64 y) z) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(pow.f64 x 1/3)
(+.f64 (.f64 1/3 (.f64 (*.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (pow.f64 x 1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (pow.f64 x 1/3)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 x 1/3))) (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))))
(-.f64 (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 3) z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (pow.f64 x 1/3) (.f64 5/81 (.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 x 1/3))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))) (.f64 1/18 (.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(+.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) (.f64 1/3 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9))))
(-.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) (.f64 1/3 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9)))) (.f64 1/9 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9))))
(-.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) (+.f64 (.f64 5/81 (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/3))) (.f64 1/3 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9))))) (.f64 1/9 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9))))

Outputs
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/9) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))
(fma.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18)) (.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18)) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/9) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))
(fma.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18)) (.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18)) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/9) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))
(fma.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18)) (.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)) 1/18)) (*.f64 (cos.f64 y) x)))
x
(+.f64 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 4) 1/9)) x)
(fma.f64 (.f64 y z) (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) x)
(fma.f64 z (.f64 y (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) x)
(-.f64 (+.f64 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 4) 1/9)) x) (.f64 1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (fma.f64 (.f64 y z) (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) x) (.f64 -1/2 (.f64 x (*.f64 y y))))
(fma.f64 (.f64 y z) (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (-.f64 x (.f64 x (.f64 1/2 (*.f64 y y)))))
(fma.f64 (.f64 y (.f64 y x)) -1/2 (fma.f64 z (.f64 y (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) x))
(-.f64 (+.f64 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 4) 1/9)) x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) x)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(-.f64 (fma.f64 (.f64 y z) (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) x) (fma.f64 1/2 (.f64 x (.f64 y y)) (.f64 1/6 (.f64 z (pow.f64 y 3)))))
(-.f64 (fma.f64 (.f64 y z) (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) x) (fma.f64 1/2 (.f64 y (.f64 y x)) (.f64 z (.f64 1/6 (pow.f64 y 3)))))
(+.f64 x (fma.f64 (.f64 y z) (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (fma.f64 (.f64 y (.f64 y x)) -1/2 (.f64 z (.f64 (pow.f64 y 3) -1/6)))))
(+.f64 x (fma.f64 (.f64 y z) (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (fma.f64 z (.f64 (pow.f64 y 3) -1/6) (.f64 x (.f64 (.f64 y y) -1/2)))))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9)) (.f64 (cos.f64 y) x))
(fma.f64 (.f64 (sin.f64 y) z) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18)) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (.f64 z (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (.f64 z (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9)) (.f64 (cos.f64 y) x))
(fma.f64 (.f64 (sin.f64 y) z) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18)) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (.f64 z (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (.f64 z (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9)) (.f64 (cos.f64 y) x))
(fma.f64 (.f64 (sin.f64 y) z) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18)) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (.f64 z (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (.f64 z (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))) (*.f64 (cos.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) z) 1/3))
(fma.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18))) (cbrt.f64 (.f64 (sin.f64 y) z)))
(fma.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18))) (cbrt.f64 (.f64 (sin.f64 y) z)))
(fma.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18))) (cbrt.f64 (.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) z) 1/3)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (fma.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18))) (cbrt.f64 (.f64 (sin.f64 y) z))) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18)) (.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18))) (cbrt.f64 (.f64 (sin.f64 y) z))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18)) (.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2)))) -1/9))
(fma.f64 (.f64 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))) -1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18)) (fma.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18))) (cbrt.f64 (.f64 (sin.f64 y) z))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (cos.f64 y) x))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/3) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (.f64 (sin.f64 y) z) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18))) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)))) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (cbrt.f64 (.f64 (sin.f64 y) z)))) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18)) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))))
(fma.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18))) (-.f64 (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)))) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (cbrt.f64 (.f64 (sin.f64 y) z))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18)) (.f64 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))) 1/9))))
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 7) (pow.f64 z 7))) 1/18)) (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2)))) -1/9 (fma.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18))) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4)))) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (cbrt.f64 (*.f64 (sin.f64 y) z)))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (.f64 1/3 (.f64 (*.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (pow.f64 x 1/3))
(fma.f64 1/3 (.f64 (.f64 y z) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (cbrt.f64 x))
(fma.f64 1/3 (.f64 y (.f64 z (*.f64 (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)))) (cbrt.f64 x))
(fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) (.f64 y (*.f64 z 1/3))) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) (cbrt.f64 x))
(-.f64 (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (pow.f64 x 1/3)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 x 1/3))) (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))))
(-.f64 (fma.f64 1/3 (.f64 (.f64 y z) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18))) (cbrt.f64 x)) (fma.f64 1/6 (.f64 (.f64 y y) (cbrt.f64 x)) (.f64 1/9 (.f64 (.f64 y y) (.f64 (.f64 z z) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))))))
(-.f64 (fma.f64 1/3 (.f64 y (.f64 z (.f64 (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)))) (cbrt.f64 x)) (fma.f64 1/9 (.f64 y (.f64 y (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))))) (.f64 (cbrt.f64 x) (.f64 (*.f64 y y) 1/6))))
(-.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) (.f64 y (.f64 z 1/3))) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) (cbrt.f64 x)) (.f64 (.f64 y y) (+.f64 (.f64 1/6 (cbrt.f64 x)) (.f64 1/9 (.f64 z (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))))))))
(-.f64 (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 3) z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (pow.f64 x 1/3) (.f64 5/81 (.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 x 1/3))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))) (.f64 1/18 (.f64 (*.f64 (pow.f64 y 3) z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))))
(-.f64 (fma.f64 1/9 (.f64 (.f64 z (pow.f64 y 3)) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18))) (fma.f64 1/3 (.f64 (.f64 y z) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18))) (+.f64 (cbrt.f64 x) (.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))))) (fma.f64 1/6 (.f64 (.f64 y y) (cbrt.f64 x)) (fma.f64 1/9 (.f64 (.f64 y y) (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))) (.f64 1/18 (.f64 (.f64 z (pow.f64 y 3)) (cbrt.f64 (/.f64 1 (.f64 x x))))))))
(-.f64 (+.f64 (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 x)) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (+.f64 (.f64 1/9 (.f64 z (pow.f64 y 3))) (.f64 (.f64 y z) 1/3)))) (fma.f64 1/6 (.f64 y (.f64 y (cbrt.f64 x))) (fma.f64 1/9 (.f64 y (.f64 y (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (.f64 (.f64 z (pow.f64 y 3)) 1/18)))))
(-.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (.f64 z (+.f64 (.f64 1/9 (pow.f64 y 3)) (.f64 y 1/3))) (fma.f64 5/81 (.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 x))) (fma.f64 (pow.f64 y 3) (.f64 1/18 (.f64 z (cbrt.f64 (/.f64 (/.f64 1 x) x)))) (.f64 (.f64 y y) (+.f64 (.f64 1/6 (cbrt.f64 x)) (.f64 1/9 (.f64 z (.f64 z (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))))))))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) (.f64 1/3 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9))))
(+.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 1/3 (.f64 (.f64 (sin.f64 y) z) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18)))))
(fma.f64 1/3 (.f64 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18)) (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18)) (cbrt.f64 (.f64 (cos.f64 y) x)))
(fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18) (.f64 (sin.f64 y) (.f64 z 1/3))) (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18) (cbrt.f64 (.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) (.f64 1/3 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9)))) (.f64 1/9 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9))))
(+.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (-.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 y) z) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18)))) (.f64 1/9 (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18))))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18)) (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18)) (cbrt.f64 (.f64 (cos.f64 y) x))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18) (.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))))) -1/9))
(fma.f64 (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) -1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18)) (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18) (.f64 (sin.f64 y) (.f64 z 1/3))) (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18) (cbrt.f64 (.f64 (cos.f64 y) x))))
(-.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) (+.f64 (.f64 5/81 (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/3))) (.f64 1/3 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9))))) (.f64 1/9 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9))))
(+.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (-.f64 (fma.f64 5/81 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))))) (.f64 1/3 (.f64 (.f64 (sin.f64 y) z) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2))) 1/18))))) (.f64 1/9 (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18))))))
(+.f64 (+.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 1/3 (.f64 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18)) (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18)) (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 (cos.f64 y) 4))) 5/81)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) -1/9))
(fma.f64 (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) -1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18)) (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18) (.f64 (sin.f64 y) (.f64 z 1/3))) (pow.f64 (/.f64 (/.f64 (/.f64 1 x) x) (pow.f64 (cos.f64 y) 2)) 1/18) (fma.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)))) (.f64 5/81 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (cbrt.f64 (*.f64 (cos.f64 y) x)))))

prune86.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	142	8	150

Error

0.0b

Counts

150 → 8

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	39.4b	(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
	29.1b	(/.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))))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2) (.f64 (cbrt.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)))
▶	1.3b	(.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))
	30.0b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
✓	1.3b	(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)

Compiler

Compiled 3443 to 1655 computations (51.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series9.0ms (0.2%)

Counts

2 → 56

Calls

18 calls:

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

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`log1p-expm1-u_binary64`
879×	`expm1-log1p-u_binary64`
108×	`add-sqr-sqrt_binary64`
106×	`pow1_binary64`
105×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	239	29
2	2470	29

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs

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

(*.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))

Outputs

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

((#(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 (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)) 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 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))) (#(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 (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 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)))) (#(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 cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (#(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 expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(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))))))

simplify36.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

475×	`times-frac_binary64`
464×	`fma-def_binary64`
344×	`cancel-sign-sub-inv_binary64`
312×	`associate-/l*_binary64`
253×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1350
1	381	1340
2	1448	1320

Stop Event

1×	node limit

Counts

93 → 74

Calls

Call 1

Inputs
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) 1/3)
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) 1/3))
(-.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) 1/3)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/9) (.f64 (cos.f64 y) x))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (.f64 (sin.f64 y) z))) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/9) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(pow.f64 (pow.f64 x 2) 1/3)
(+.f64 (.f64 2/3 (.f64 (*.f64 y z) (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3))
(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 y z) (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 x 2) 1/3))) (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)))))
(-.f64 (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) x)) (+.f64 (.f64 2/3 (.f64 (.f64 y z) (pow.f64 x 1/9))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 3) z) (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 x 2) 1/3))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 3) z) (pow.f64 (/.f64 1 x) 1/3))) (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))))
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) 2) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(+.f64 (.f64 2/3 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) 1/9))) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3))
(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) 1/9))) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)) (.f64 1/9 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) 1/9))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3))) (.f64 1/9 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9))))
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
x
(+.f64 (*.f64 y z) x)
(-.f64 (+.f64 (.f64 y z) x) (.f64 1/2 (*.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (.f64 y z) x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) x)) (.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))

Outputs
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) 1/3))
(fma.f64 2/3 (.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18)) (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))
(fma.f64 2/3 (.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18)) (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) 1/3)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18)) (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/18)) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))))
(+.f64 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18)) (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/18) (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))))) -1/9))
(fma.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/18) (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))))) -1/9 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18)) (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/9) (.f64 (cos.f64 y) x))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (.f64 (sin.f64 y) z))) (pow.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/9) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18)) (.f64 (cos.f64 y) x)) (fma.f64 4/81 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (sin.f64 y)) (/.f64 (pow.f64 x 3) z)) (cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))))) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/18)) (.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))))
(+.f64 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18)) (.f64 (cos.f64 y) x)) (fma.f64 4/81 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (sin.f64 y)) (/.f64 (pow.f64 x 3) z)) (cbrt.f64 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 z 4))) 1/18) (.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2))))) -1/9))
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(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))

prune136.0ms (2.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	214	8	222

Error

0.0b

Counts

222 → 8

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	39.4b	(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
▶	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
	29.1b	(/.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))))
	30.0b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
✓	1.3b	(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
	2.2b	(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3) 2))
✓	1.3b	(.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))

Compiler

Compiled 7505 to 3208 computations (57.3% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series100.0ms (2.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	y	@	inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
20.0ms	y	@	-inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
9.0ms	y	@	0	(cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
7.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
201×	`prod-diff_binary64`
197×	`pow1/3_binary64`
197×	`expm1-udef_binary64`
197×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	235	35
2	2602	35

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

540×	`associate-r_binary64`
452×	`times-frac_binary64`
384×	`associate-l_binary64`
300×	`associate-/r*_binary64`
290×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	359	5782
1	1280	5616

Stop Event

1×	node limit

Counts

119 → 163

Calls

Call 1

Inputs
(pow.f64 (*.f64 (sin.f64 y) z) 1/9)
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) z) 1/9))
(-.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) z) 1/9)) (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 17) (pow.f64 z 17))) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 68/2187 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 26) (pow.f64 z 26))) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) z) 1/9))) (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 17) (pow.f64 z 17))) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (cos.f64 y)) (log.f64 (/.f64 1 x)))))
(+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (cos.f64 y)) (log.f64 (/.f64 1 x))))) (.f64 1/9 (/.f64 (.f64 (sin.f64 y) (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (cos.f64 y)) (log.f64 (/.f64 1 x))))) z)) (.f64 (cos.f64 y) x))))
(-.f64 (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (cos.f64 y)) (log.f64 (/.f64 1 x))))) (.f64 1/9 (/.f64 (.f64 (sin.f64 y) (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (cos.f64 y)) (log.f64 (/.f64 1 x))))) z)) (.f64 (cos.f64 y) x)))) (.f64 4/81 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (cos.f64 y)) (log.f64 (/.f64 1 x))))) (pow.f64 z 2))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (cos.f64 y)) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 68/2187 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (cos.f64 y)) (log.f64 (/.f64 1 x))))) (pow.f64 z 3))) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/9 (/.f64 (.f64 (sin.f64 y) (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (cos.f64 y)) (log.f64 (/.f64 1 x))))) z)) (.f64 (cos.f64 y) x))))) (.f64 4/81 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (cos.f64 y)) (log.f64 (/.f64 1 x))))) (pow.f64 z 2))) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x)))))
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(-.f64 (+.f64 (.f64 2/9 (/.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2) x)) (.f64 (sin.f64 y) z))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2) (.f64 112/2187 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2) (pow.f64 x 3))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (.f64 7/81 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2) (pow.f64 x 2))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)))))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2)
(+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2)) (.f64 7/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (.f64 112/2187 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2))) (.f64 7/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)))))

Outputs
(pow.f64 (*.f64 (sin.f64 y) z) 1/9)
(.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (*.f64 (sin.f64 y) z) 1/18))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) z) 1/9))
(fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/18)) (.f64 (cos.f64 y) x)) (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18)))
(fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/18) (.f64 (cos.f64 y) x))) (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18)))
(-.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 (sin.f64 y) z) 1/9)) (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 17) (pow.f64 z 17))) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/18)) (.f64 (cos.f64 y) x)) (.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18))) (.f64 -4/81 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 17) (pow.f64 z 17))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 17) (pow.f64 z 17))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)))))
(fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/18) (.f64 (cos.f64 y) x))) (fma.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 17) (pow.f64 z 17))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 17) (pow.f64 z 17))) 1/18)) (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2)))) -4/81)))
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(fma.f64 68/2187 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 26) (pow.f64 z 26))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 26) (pow.f64 z 26))) 1/18)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 z 8))) 1/18) (.f64 (cos.f64 y) x))) (fma.f64 (pow.f64 (.f64 (sin.f64 y) z) 1/18) (pow.f64 (.f64 (sin.f64 y) z) 1/18) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 17) (pow.f64 z 17))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 17) (pow.f64 z 17))) 1/18)) (.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2)))) -4/81))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (cos.f64 y)) (log.f64 (/.f64 1 x)))))
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (cos.f64 y)) (neg.f64 (log.f64 x))))
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(fma.f64 1/9 (*.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (cos.f64 y)) (log.f64 x))) (/.f64 x z))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (cos.f64 y)) (log.f64 x))))
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(+.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (cos.f64 y)) (neg.f64 (log.f64 x)))) (-.f64 (fma.f64 68/2187 (.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (cos.f64 y) 3)) (/.f64 (.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (cos.f64 y)) (neg.f64 (log.f64 x)))) (pow.f64 z 3)) (pow.f64 x 3))) (.f64 1/9 (.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (.f64 z (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (cos.f64 y)) (neg.f64 (log.f64 x))))) x)))) (.f64 4/81 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (/.f64 (.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (cos.f64 y)) (neg.f64 (log.f64 x)))) (.f64 z z)) (.f64 x x))))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (cos.f64 y)) (log.f64 x))) (+.f64 (fma.f64 1/9 (.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (cos.f64 y)) (log.f64 x))) (/.f64 x z))) (.f64 (/.f64 68/2187 (pow.f64 (cos.f64 y) 3)) (/.f64 (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (cos.f64 y)) (log.f64 x))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) (pow.f64 x 3)))) (.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (cos.f64 y)) (log.f64 x))) (/.f64 (.f64 x x) (.f64 z z)))) -4/81)))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (sin.f64 y) (.f64 z (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x))))))) (.f64 (cos.f64 y) x))) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x))))))
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(fma.f64 1/9 (*.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 z (/.f64 x (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x))))))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x)))))
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(-.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) 1/18) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) 1/18)) (.f64 (.f64 2/9 (.f64 (sin.f64 y) z)) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 7)) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 7)) (pow.f64 x 7)) 1/18)))) (.f64 (.f64 7/81 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z))) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 16)) (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 16)) (pow.f64 x 16)) 1/18))))
(fma.f64 (pow.f64 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))) 1/18) (fma.f64 (.f64 2/9 (.f64 (sin.f64 y) z)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18)) (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 16)) (pow.f64 x 16)) 1/18)) (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 16)) (pow.f64 x 16)) 1/18)))) -7/81)))
(-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/9) (+.f64 (.f64 112/2187 (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 25) (pow.f64 x 25))) 1/9))) (.f64 2/9 (.f64 (.f64 (sin.f64 y) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9))))) (.f64 7/81 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 16) (pow.f64 x 16))) 1/9))))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) 1/18) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) 1/18)) (-.f64 (fma.f64 112/2187 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 z 3) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 25) (pow.f64 (cos.f64 y) 25))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 25) (pow.f64 (cos.f64 y) 25))) 1/18)))) (.f64 (.f64 2/9 (.f64 (sin.f64 y) z)) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 7)) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 7)) (pow.f64 x 7)) 1/18)))) (.f64 (.f64 7/81 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z))) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 16)) (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 16)) (pow.f64 x 16)) 1/18)))))
(+.f64 (fma.f64 (pow.f64 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))) 1/18) (pow.f64 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))) 1/18) (fma.f64 (.f64 2/9 (.f64 (sin.f64 y) z)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (cos.f64 y) 7))) 1/18)) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 25) (pow.f64 (cos.f64 y) 25))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 25) (pow.f64 (cos.f64 y) 25))) 1/18)) (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) 112/2187)))) (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 16)) (pow.f64 x 16)) 1/18)) (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 16)) (pow.f64 x 16)) 1/18)))) -7/81))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 z)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sin.f64 y)) (log.f64 z))) 2)
(+.f64 (.f64 2/9 (/.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2) x)) (.f64 (sin.f64 y) z))) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2))
(fma.f64 2/9 (/.f64 (.f64 (.f64 (cos.f64 y) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 z)))) 2)) x) (*.f64 (sin.f64 y) z)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 z)))) 2))
(fma.f64 2/9 (*.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sin.f64 y)) (log.f64 z))) 2) (/.f64 z x))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sin.f64 y)) (log.f64 z))) 2))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2) x)) (.f64 (sin.f64 y) z))) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2)) (.f64 7/81 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2) (pow.f64 x 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)))))
(+.f64 (fma.f64 2/9 (/.f64 (.f64 (.f64 (cos.f64 y) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 z)))) 2)) x) (.f64 (sin.f64 y) z)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 z)))) 2)) (.f64 -7/81 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 z)))) 2)) (.f64 z z)))))
(+.f64 (fma.f64 2/9 (.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sin.f64 y)) (log.f64 z))) 2) (/.f64 z x))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sin.f64 y)) (log.f64 z))) 2)) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (.f64 (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sin.f64 y)) (log.f64 z))) 2) z))) -7/81))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2) x)) (.f64 (sin.f64 y) z))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2) (.f64 112/2187 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2) (pow.f64 x 3))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (.f64 7/81 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 1 z))))) 2) (pow.f64 x 2))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)))))
(+.f64 (+.f64 (fma.f64 2/9 (/.f64 (.f64 (.f64 (cos.f64 y) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 z)))) 2)) x) (.f64 (sin.f64 y) z)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 z)))) 2)) (.f64 112/2187 (/.f64 (pow.f64 (cos.f64 y) 3) (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 z)))) 2)))))) (.f64 -7/81 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sin.f64 y)) (neg.f64 (log.f64 z)))) 2)) (*.f64 z z)))))
(+.f64 (fma.f64 2/9 (.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sin.f64 y)) (log.f64 z))) 2) (/.f64 z x))) (fma.f64 112/2187 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) (.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sin.f64 y)) (log.f64 z))) 2))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sin.f64 y)) (log.f64 z))) 2))) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (.f64 (/.f64 (.f64 x x) z) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sin.f64 y)) (log.f64 z))) 2) z))) -7/81))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2)
(+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2))
(fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (/.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2))
(fma.f64 2/9 (.f64 (/.f64 (.f64 (cos.f64 y) x) (sin.f64 y)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2) z)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2)) (.f64 7/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)))))
(+.f64 (fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (/.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2)) (.f64 -7/81 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (*.f64 z z)))))
(+.f64 (fma.f64 2/9 (.f64 (/.f64 (.f64 (cos.f64 y) x) (sin.f64 y)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2) z)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2)) (/.f64 (.f64 -7/81 (.f64 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2))) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))))
(-.f64 (+.f64 (.f64 112/2187 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))) (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2))) (.f64 7/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z))))) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 2)))))
(+.f64 (fma.f64 112/2187 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (/.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2))) (.f64 -7/81 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (*.f64 z z)))))
(+.f64 (fma.f64 112/2187 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (pow.f64 (sin.f64 y) 3))) (fma.f64 2/9 (.f64 (/.f64 (.f64 (cos.f64 y) x) (sin.f64 y)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2) z)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2))) (/.f64 (.f64 -7/81 (.f64 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) 2))) (.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))))

prune369.0ms (7.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	434	1	435
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	434	9	443

Error

0.0b

Counts

443 → 9

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	39.4b	(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
	2.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
	30.0b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
✓	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
	29.1b	(/.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))))
✓	1.3b	(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
	2.2b	(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3) 2))
✓	1.3b	(.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))

Compiler

Compiled 26799 to 11268 computations (58% saved)

regimes95.0ms (2%)

Accuracy

Total 0.1b remaining (49.4%)

Threshold costs 0.1b (49.4%)

Counts

40 → 1

Compiler

Compiled 708 to 174 computations (75.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12

Stop Event

1×

saturated

Calls

Call 1

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

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

end146.0ms (3.1%)

Stop Event

1×

fuel

Compiler

Compiled 246 to 123 computations (50% saved)

Details

analyze442.0ms (9.3%)

sample2.8s (58.7%)

preprocess17.0ms (0.4%)

simplify6.0ms (0.1%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

series9.0ms (0.2%)

rewrite43.0ms (0.9%)

simplify41.0ms (0.8%)

prune35.0ms (0.7%)

localize9.0ms (0.2%)

series82.0ms (1.7%)

rewrite48.0ms (1%)

simplify51.0ms (1.1%)

prune86.0ms (1.8%)

localize11.0ms (0.2%)

series9.0ms (0.2%)

rewrite45.0ms (0.9%)

simplify36.0ms (0.8%)

prune136.0ms (2.9%)

localize15.0ms (0.3%)

series100.0ms (2.1%)

rewrite53.0ms (1.1%)

simplify70.0ms (1.5%)

prune369.0ms (7.7%)

regimes95.0ms (2%)

simplify2.0ms (0%)

end146.0ms (3.1%)

Profiling