Details

analyze615.0ms (13.2%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.4s (52.2%)

Results

1.1s	2044×	body	1024	valid
752.0ms	4705×	body	128	valid
404.0ms	1017×	body	512	valid
152.0ms	486×	body	256	valid
3.0ms	4×	body	2048	valid

preprocess25.0ms (0.5%)

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)

localize8.0ms (0.2%)

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 → 40

Calls

15 calls:

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

rewrite41.0ms (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 log1p.f64 (expm1.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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 log1p.f64 (expm1.f64 (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 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 log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))))

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

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def_binary64`
624×	`distribute-lft-out_binary64`
438×	`unswap-sqr_binary64`
392×	`*-commutative_binary64`
314×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	470
1	115	467
2	295	453
3	846	451
4	2540	451
5	3410	451

Stop Event

1×	node limit

Counts

76 → 55

Calls

Call 1

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

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

prune40.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Error

0.1b

Counts

56 → 5

Alt Table

Status	Error	Program
	31.0b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	0.1b	(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
	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))
	25.4b	(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))

Compiler

Compiled 839 to 332 computations (60.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series8.0ms (0.2%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
1.0ms	y	@	0	(*.f64 (cos.f64 y) x)
1.0ms	x	@	0	(*.f64 (cos.f64 y) x)
0.0ms	x	@	inf	(*.f64 (cos.f64 y) x)
0.0ms	y	@	inf	(*.f64 (cos.f64 y) x)

rewrite38.0ms (0.8%)

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

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

Outputs

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

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

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1894×	`fma-def_binary64`
410×	`*-commutative_binary64`
310×	`distribute-lft-out_binary64`
226×	`unswap-sqr_binary64`
171×	`associate-+l+_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	38	458
1	99	458
2	268	451
3	883	446
4	2418	446
5	3422	446
6	3611	446
7	3772	446
8	3938	446
9	4158	443

Stop Event

1×	node limit

Counts

76 → 53

Calls

Call 1

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

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

prune33.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	53	5	58

Error

0.1b

Counts

58 → 5

Alt Table

Status	Error	Program
	31.0b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	0.1b	(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
▶	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))
	25.4b	(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))

Compiler

Compiled 802 to 319 computations (60.2% saved)

localize10.0ms (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)
✓	0.6b	(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))

series25.0ms (0.5%)

Counts

3 → 76

Calls

27 calls:

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

rewrite49.0ms (1.1%)

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	43
1	239	43
2	2470	43

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs

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

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

(*.f64 (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 (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 (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 (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 (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 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 4))) (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 *.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 (pow.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 (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 fabs.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 (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 log1p.f64 (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 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))))))

((#(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 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 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 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 log1p.f64 (expm1.f64 (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 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))))))

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

335×	`associate-r_binary64`
294×	`distribute-rgt-in_binary64`
292×	`distribute-lft-in_binary64`
249×	`associate-l_binary64`
245×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	2868
1	712	2674
2	2670	2670

Stop Event

1×	node limit

Counts

136 → 124

Calls

Call 1

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

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

prune165.0ms (3.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	211	4	215
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	211	9	220

Error

0.0b

Counts

220 → 9

Alt Table

Status	Error	Program
	29.7b	(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
	31.0b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	44.2b	(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))))
	25.4b	(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))
✓	0.1b	(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
▶	1.8b	(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.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)))))))
✓	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))
	53.9b	(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))))

Compiler

Compiled 8243 to 3731 computations (54.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series106.0ms (2.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
34.0ms	y	@	inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
29.0ms	y	@	-inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
7.0ms	z	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
5.0ms	x	@	-inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
3.0ms	x	@	inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`log-prod_binary64`
217×	`expm1-udef_binary64`
217×	`log1p-udef_binary64`
201×	`prod-diff_binary64`
196×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	302	47
2	3236	47

Stop Event

1×	node limit

Counts

3 → 100

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)

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

Outputs

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

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

simplify99.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

485×	`fma-def_binary64`
415×	`times-frac_binary64`
302×	`associate-/r*_binary64`
302×	`associate-/l*_binary64`
191×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	461	7937
1	1642	7190

Stop Event

1×	node limit

Counts

208 → 228

Calls

Call 1

Inputs
(pow.f64 (*.f64 z (sin.f64 y)) 1/9)
(+.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/9) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 8) (pow.f64 (sin.f64 y) 8))) 1/9) (*.f64 (cos.f64 y) x))))
(+.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/9) (+.f64 (.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 1/162 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 2)) (pow.f64 (.f64 z (sin.f64 y)) 1/9)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 8) (pow.f64 (sin.f64 y) 8))) 1/9) (.f64 (cos.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/9) (+.f64 (.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 1/162 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 2)) (pow.f64 (.f64 z (sin.f64 y)) 1/9)) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 8) (pow.f64 (sin.f64 y) 8))) 1/9) (.f64 (cos.f64 y) x))) (.f64 (.f64 (+.f64 (.f64 1/4374 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -1/162 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (pow.f64 x 3)) (pow.f64 (*.f64 z (sin.f64 y)) 1/9)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) x))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) x))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2)) (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) x))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (+.f64 (.f64 1/4374 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3))) (+.f64 (.f64 1/27 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3))) (.f64 -1/162 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3)))))) (pow.f64 x 3)))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 1/9 (/.f64 (.f64 z (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (sin.f64 y))) (.f64 (cos.f64 y) x))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x)))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))))) (pow.f64 x 2)) (+.f64 (.f64 1/9 (/.f64 (.f64 z (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (sin.f64 y))) (.f64 (cos.f64 y) x))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))))))
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(pow.f64 (pow.f64 x 2) 1/9)
(+.f64 (.f64 2/9 (.f64 (*.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))) (pow.f64 (pow.f64 x 2) 1/9))
(+.f64 (.f64 2/9 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/18 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1)) (.f64 1/162 (/.f64 (pow.f64 z 2) (pow.f64 x 2)))) (pow.f64 (pow.f64 x 2) 1/9))) (.f64 1/81 (*.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)))) (pow.f64 y 2)) (pow.f64 (pow.f64 x 2) 1/9)))
(+.f64 (.f64 2/9 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/162 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1) z) x)) (+.f64 (.f64 1/54 (+.f64 (.f64 3 (/.f64 z x)) (+.f64 (.f64 -1 (/.f64 z x)) (.f64 2 (/.f64 (pow.f64 z 3) (pow.f64 x 3)))))) (.f64 1/4374 (/.f64 (pow.f64 z 3) (pow.f64 x 3))))) (pow.f64 (pow.f64 x 2) 1/9))) (+.f64 (.f64 1/9 (.f64 (.f64 z (+.f64 (.f64 1/18 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1)) (.f64 1/162 (/.f64 (pow.f64 z 2) (pow.f64 x 2))))) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))) (.f64 1/9 (.f64 (.f64 (+.f64 (.f64 1/18 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1)) (.f64 1/162 (/.f64 (pow.f64 z 2) (pow.f64 x 2)))) z) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/18 (-.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) 1)) (.f64 1/162 (/.f64 (pow.f64 z 2) (pow.f64 x 2)))) (pow.f64 (pow.f64 x 2) 1/9))) (.f64 1/81 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)))) (pow.f64 y 2)) (pow.f64 (pow.f64 x 2) 1/9))))
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/9)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/9)
(+.f64 (.f64 2/9 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9))) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/9))
(+.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 16) (pow.f64 x 16))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/18 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/9)))) (pow.f64 z 2)) (+.f64 (.f64 2/9 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9))) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/9)))
(+.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 16) (pow.f64 x 16))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/18 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/9)))) (pow.f64 z 2)) (+.f64 (.f64 2/9 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/162 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 1/4374 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/9))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/18 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (sin.f64 y))))) (pow.f64 z 3)) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/9))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (+.f64 (.f64 1/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (+.f64 (.f64 1/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (.f64 (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (.f64 (cos.f64 y) x))) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (+.f64 (.f64 1/27 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))) (+.f64 (.f64 1/4374 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))) (.f64 -1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3)))))) (pow.f64 z 3))) (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y))))) 2) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))))))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2) (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2) (.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2)) (pow.f64 z 2))) (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2) (.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))) (.f64 1/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/4374 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))) (+.f64 (.f64 -1/27 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2))) (.f64 -2/9 (/.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2) (.f64 (cos.f64 y) x))) (sin.f64 y)))) (pow.f64 z 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2)) (pow.f64 z 2))) (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2) (.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))) (.f64 1/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y)))))) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))))))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))

Outputs
(pow.f64 (*.f64 z (sin.f64 y)) 1/9)
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (*.f64 z (sin.f64 y)) 1/18))
(+.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/9) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 8) (pow.f64 (sin.f64 y) 8))) 1/9) (*.f64 (cos.f64 y) x))))
(+.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18)) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18)) (*.f64 (cos.f64 y) x))))
(fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18)) (.f64 (cos.f64 y) x)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18)))
(+.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/9) (+.f64 (.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 1/162 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 2)) (pow.f64 (.f64 z (sin.f64 y)) 1/9)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 8) (pow.f64 (sin.f64 y) 8))) 1/9) (.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18)) (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)) (pow.f64 (sin.f64 y) 2)) -4/81) (.f64 x x)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18)) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18)) (.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)) (pow.f64 (sin.f64 y) 2)) -4/81) (.f64 x x)) 1) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18))) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18)) (.f64 (cos.f64 y) x))))
(+.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/9) (+.f64 (.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 1/162 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 2)) (pow.f64 (.f64 z (sin.f64 y)) 1/9)) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 8) (pow.f64 (sin.f64 y) 8))) 1/9) (.f64 (cos.f64 y) x))) (.f64 (.f64 (+.f64 (.f64 1/4374 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -1/162 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (pow.f64 x 3)) (pow.f64 (*.f64 z (sin.f64 y)) 1/9)))))
(+.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18)) (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)) (pow.f64 (sin.f64 y) 2)) -4/81) (.f64 x x)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18)) (.f64 (cos.f64 y) x)) (.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18)) (.f64 (fma.f64 1/4374 (/.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3)) (*.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3)) 5/162)) (pow.f64 x 3))))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)) (pow.f64 (sin.f64 y) 2)) -4/81) (.f64 x x)) 1) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18))) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 8)) (pow.f64 (sin.f64 y) 8)) 1/18)) (.f64 (cos.f64 y) x)) (.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18)) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) 68/2187) (pow.f64 x 3)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))))
(pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (cos.f64 y))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (cos.f64 y))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) x))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))))
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (cos.f64 y)))) (/.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (cos.f64 y)))))
(fma.f64 1/9 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (cos.f64 y)))) x) (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (cos.f64 y)))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) x))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2)) (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y)))))))
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (cos.f64 y)))) (/.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (cos.f64 y)))) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (cos.f64 y)))) (/.f64 (.f64 x x) (.f64 (/.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))) -4/81)))))
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(+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) x))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (cos.f64 y))))) (+.f64 (.f64 1/4374 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3))) (+.f64 (.f64 1/27 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3))) (.f64 -1/162 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 3)))))) (pow.f64 x 3)))))
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (cos.f64 y)))) (/.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (+.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (cos.f64 y)))) (/.f64 (.f64 x x) (.f64 (/.f64 (.f64 z z) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))) -4/81))) (+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (cos.f64 y)))) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (cos.f64 y)))) (/.f64 (pow.f64 x 3) (fma.f64 1/4374 (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (sin.f64 y) 3))) (.f64 (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (sin.f64 y) 3))) 5/162)))))))
(+.f64 (fma.f64 1/9 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (cos.f64 y)))) x) (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y))) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (cos.f64 y)))) (.f64 (/.f64 x (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)))) (/.f64 x -4/81)))) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (cos.f64 y)))) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (cos.f64 y)))) (/.f64 (pow.f64 x 3) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) 68/2187)))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (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 z (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (sin.f64 y))) (.f64 (cos.f64 y) x))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/9 (/.f64 z (/.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 x))))))
(fma.f64 1/9 (*.f64 (/.f64 z (cos.f64 y)) (/.f64 (sin.f64 y) (/.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)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))))) (pow.f64 x 2)) (+.f64 (.f64 1/9 (/.f64 (.f64 z (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (sin.f64 y))) (.f64 (cos.f64 y) x))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))))))
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(+.f64 (fma.f64 1/9 (.f64 (/.f64 z (cos.f64 y)) (/.f64 (sin.f64 y) (/.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))))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) -4/81) x) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x)))) x)))
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(fma.f64 -1 (/.f64 (fma.f64 1/162 (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (sin.f64 y) 3))) (.f64 (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (sin.f64 y) 3))) -163/4374)) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 x))))))) (+.f64 (fma.f64 1/9 (/.f64 z (/.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))) (/.f64 (.f64 (/.f64 (.f64 z z) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))) -4/81) (/.f64 (.f64 x x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))))))
(-.f64 (+.f64 (fma.f64 1/9 (.f64 (/.f64 z (cos.f64 y)) (/.f64 (sin.f64 y) (/.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))))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) -4/81) x) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x)))) x))) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 x)))) (/.f64 (pow.f64 x 3) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) -68/2187))))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(+.f64 (pow.f64 x 1/9) (.f64 1/9 (.f64 (*.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))))
(+.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (.f64 (.f64 1/9 (.f64 z y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))))
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(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 z y (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))
(fma.f64 z y (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))

prune472.0ms (10.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	502	7	509
Fresh	2	3	5
Picked	1	0	1
Done	1	2	3
Total	506	12	518

Error

0.0b

Counts

518 → 12

Alt Table

Status	Error	Program
	29.7b	(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
	31.0b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
	0.3b	(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (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))
	31.1b	(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	44.2b	(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))))
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
✓	0.1b	(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
	2.0b	(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (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 z (sin.f64 y) (.f64 x (cos.f64 y)))))) 3) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	13.9b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	12.9b	(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 2)) (*.f64 x (cos.f64 y)))

Compiler

Compiled 35598 to 13637 computations (61.7% saved)

regimes107.0ms (2.3%)

Accuracy

Total -61.3b remaining (-49948.5%)

Threshold costs -61.3b (-49948.5%)

Counts

37 → 1

Compiler

Compiled 627 to 159 computations (74.6% 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 z (sin.f64 y) (*.f64 (cos.f64 y) x))

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

end120.0ms (2.6%)

Stop Event

1×

fuel

Compiler

Compiled 238 to 76 computations (68.1% saved)

Details

analyze615.0ms (13.2%)

sample2.4s (52.2%)

preprocess25.0ms (0.5%)

simplify6.0ms (0.1%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series9.0ms (0.2%)

rewrite41.0ms (0.9%)

simplify37.0ms (0.8%)

prune40.0ms (0.9%)

localize7.0ms (0.1%)

series8.0ms (0.2%)

rewrite38.0ms (0.8%)

simplify66.0ms (1.4%)

prune33.0ms (0.7%)

localize10.0ms (0.2%)

series25.0ms (0.5%)

rewrite49.0ms (1.1%)

simplify59.0ms (1.3%)

prune165.0ms (3.5%)

localize13.0ms (0.3%)

series106.0ms (2.3%)

rewrite57.0ms (1.2%)

simplify99.0ms (2.1%)

prune472.0ms (10.2%)

regimes107.0ms (2.3%)

simplify2.0ms (0%)

end120.0ms (2.6%)

Profiling