Details

analyze674.0ms (13.4%)

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)

sample2.7s (53.7%)

Results

1.3s	2041×	body	1024	valid
829.0ms	4707×	body	128	valid
455.0ms	1018×	body	512	valid
152.0ms	486×	body	256	valid
4.0ms	4×	body	2048	valid

preprocess17.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.2%)

Counts

2 → 52

Calls

15 calls:

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

rewrite41.0ms (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 z (cos.f64 y))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

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

Outputs

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

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

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1867×	`fma-def_binary64`
400×	`*-commutative_binary64`
343×	`distribute-lft-out_binary64`
226×	`unswap-sqr_binary64`
184×	`associate-+l+_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	40	536
1	104	530
2	280	526
3	913	520
4	2482	520
5	3513	520
6	3649	520
7	3804	520
8	3972	520
9	4196	515

Stop Event

1×	node limit

Counts

88 → 53

Calls

Call 1

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

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

prune70.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	8	54

Error

0.0b

Counts

54 → 8

Alt Table

Status	Error	Program
	1.4b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
▶	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	40.0b	(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
	40.3b	(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
	29.3b	(.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	27.7b	(fma.f64 x (sin.f64 y) (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))))
	30.9b	(fma.f64 x (sin.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))

Compiler

Compiled 980 to 404 computations (58.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

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

rewrite45.0ms (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 (sin.f64 y) x)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

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

Outputs

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

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

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

845×	`fma-def_binary64`
620×	`distribute-lft-out_binary64`
438×	`unswap-sqr_binary64`
383×	`*-commutative_binary64`
308×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	472
1	109	467
2	285	453
3	807	451
4	2476	451
5	3340	451

Stop Event

1×	node limit

Counts

76 → 55

Calls

Call 1

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

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

prune53.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	55	8	63

Error

0.0b

Counts

63 → 8

Alt Table

Status	Error	Program
▶	1.4b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	40.3b	(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
	27.7b	(fma.f64 x (sin.f64 y) (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))))
	30.9b	(fma.f64 x (sin.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
	25.2b	(fma.f64 (cos.f64 y) z (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2))
	17.7b	(fma.f64 (cos.f64 y) z (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3)))
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

Compiler

Compiled 960 to 399 computations (58.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series28.0ms (0.6%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
2.0ms	x	@	inf	(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
2.0ms	y	@	inf	(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
2.0ms	y	@	-inf	(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))

rewrite57.0ms (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 (sin.f64 y) (*.f64 z (cos.f64 y))))

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

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

Outputs

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

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

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

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

316×	`associate-r_binary64`
265×	`distribute-rgt-in_binary64`
263×	`distribute-lft-in_binary64`
242×	`unswap-sqr_binary64`
232×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	2870
1	734	2688
2	2623	2676

Stop Event

1×	node limit

Counts

136 → 123

Calls

Call 1

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

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

prune158.0ms (3.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	214	2	216
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	215	9	224

Error

0.0b

Counts

224 → 9

Alt Table

Status	Error	Program
▶	1.8b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 3) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
✓	1.4b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	40.3b	(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
	27.7b	(fma.f64 x (sin.f64 y) (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))))
	51.9b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))))
	30.9b	(fma.f64 x (sin.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
	25.2b	(fma.f64 (cos.f64 y) z (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2))
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

Compiler

Compiled 8245 to 3749 computations (54.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
✓	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	0.6b	(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)

series116.0ms (2.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
42.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
16.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
12.0ms	z	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
10.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
8.0ms	x	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`log-prod_binary64`
270×	`pow2_binary64`
201×	`prod-diff_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	241	30
2	2525	30

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-def_binary64`
539×	`times-frac_binary64`
326×	`distribute-lft-in_binary64`
326×	`distribute-rgt-in_binary64`
295×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	671	10491
1	2526	9585

Stop Event

1×	node limit

Counts

119 → 163

Calls

Call 1

Inputs
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (sin.f64 y))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (sin.f64 y)))) x) (pow.f64 (.f64 z (cos.f64 y)) 1/3))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (sin.f64 y))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (sin.f64 y)))) x) (+.f64 (.f64 (+.f64 (.f64 2/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5))) 1/3) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 16) (pow.f64 (cos.f64 y) 16))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 2 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))) (pow.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) 1/9)))) (pow.f64 (.f64 z (cos.f64 y)) 1/9)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/3) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 x 2)) (pow.f64 (.f64 z (cos.f64 y)) 1/3)))
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(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y))))) 3)
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(+.f64 (.f64 1/9 (/.f64 (.f64 (cos.f64 y) (.f64 z (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y))))))) (.f64 (sin.f64 y) x))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/4374 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (+.f64 (.f64 1/27 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (.f64 -1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y)))))) (pow.f64 x 3)) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y))))) (/.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (pow.f64 (sin.f64 y) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (pow.f64 (sin.f64 y) 2)))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y)))))) (pow.f64 x 2)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sin.f64 y))))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sin.f64 y)))))) (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sin.f64 y)))))) (.f64 z (cos.f64 y))) (.f64 (sin.f64 y) x))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sin.f64 y)))))) (+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sin.f64 y)))))) (.f64 z (cos.f64 y))) (.f64 (sin.f64 y) x))) (/.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (pow.f64 (sin.f64 y) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (pow.f64 (sin.f64 y) 2)))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sin.f64 y))))))) (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sin.f64 y)))))) (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (pow.f64 (sin.f64 y) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (+.f64 (.f64 -1/27 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))) (.f64 -1/4374 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sin.f64 y))))))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sin.f64 y)))))) (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sin.f64 y)))))) (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x))))))
(pow.f64 z 1/9)
(+.f64 (pow.f64 z 1/9) (.f64 1/9 (.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 z 8)) 1/9))))
(+.f64 (.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (.f64 1/18 (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) 1))) (pow.f64 y 2)) (pow.f64 z 1/9)) (+.f64 (pow.f64 z 1/9) (.f64 1/9 (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 z 8)) 1/9)))))
(+.f64 (.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (.f64 1/18 (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) 1))) (pow.f64 y 2)) (pow.f64 z 1/9)) (+.f64 (pow.f64 z 1/9) (+.f64 (.f64 1/9 (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 z 8)) 1/9))) (.f64 (.f64 (+.f64 (.f64 1/162 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) 1) x) z)) (+.f64 (.f64 1/54 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 3 (/.f64 x z)) (.f64 -1 (/.f64 x z))))) (.f64 1/4374 (/.f64 (pow.f64 x 3) (pow.f64 z 3))))) (pow.f64 y 3)) (pow.f64 z 1/9)))))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/9)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/9)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/9)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/9)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/9)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/9)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/9)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/9)
(pow.f64 (*.f64 (sin.f64 y) x) 1/9)
(+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/9) (.f64 1/9 (.f64 (.f64 (cos.f64 y) z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 x 8))) 1/9))))
(+.f64 (.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 1/162 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/18 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))) (pow.f64 (.f64 (sin.f64 y) x) 1/9)) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/9) (.f64 1/9 (.f64 (.f64 (cos.f64 y) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 x 8))) 1/9)))))
(+.f64 (.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 1/162 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 -1/18 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))) (pow.f64 (.f64 (sin.f64 y) x) 1/9)) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 1/9) (+.f64 (.f64 (.f64 (+.f64 (.f64 -1/162 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/4374 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 1/27 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (pow.f64 z 3)) (pow.f64 (.f64 (sin.f64 y) x) 1/9)) (.f64 1/9 (.f64 (.f64 (cos.f64 y) z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 8) (pow.f64 x 8))) 1/9))))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y)))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))) (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/18 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 2))))) (pow.f64 z 2))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/18 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 2))))) (pow.f64 z 2)) (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (cos.f64 y))))) (+.f64 (.f64 1/27 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))) (+.f64 (.f64 1/4374 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))) (.f64 -1/162 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3)))))) (pow.f64 z 3)))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/18 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 2))))) (pow.f64 z 2)) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/18 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 2))))) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/27 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))) (.f64 -1/4374 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z))))))) (pow.f64 z 3))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))))

Outputs
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (sin.f64 y))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (sin.f64 y)))) x) (pow.f64 (.f64 z (cos.f64 y)) 1/3))
(fma.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y)) 1/3) x (cbrt.f64 (*.f64 z (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (sin.f64 y))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) 1/3) (sin.f64 y)))) x) (+.f64 (.f64 (+.f64 (.f64 2/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5))) 1/3) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 16) (pow.f64 (cos.f64 y) 16))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 2 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))) (pow.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) 1/9)))) (pow.f64 (.f64 z (cos.f64 y)) 1/9)) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/3) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 x 2)) (pow.f64 (.f64 z (cos.f64 y)) 1/3)))
(fma.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y)) 1/3) x (fma.f64 (fma.f64 2/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5)))) (pow.f64 (sin.f64 y) 2)) (fma.f64 (fma.f64 1/81 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 16) (pow.f64 (cos.f64 y) 16))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 16) (pow.f64 (cos.f64 y) 16))) 1/18))) (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) -4/81) (.f64 (pow.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)) 1/18) (pow.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)) 1/18))))) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/18) (pow.f64 (.f64 z (cos.f64 y)) 1/18)) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) -4/81)))) (.f64 x x) (cbrt.f64 (.f64 z (cos.f64 y)))))
(fma.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y)) 1/3) x (fma.f64 (fma.f64 2/81 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (cos.f64 y) 5))) (pow.f64 (sin.f64 y) 2)) (fma.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) -4/81) (.f64 (pow.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)) 1/18) (pow.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2)) 1/18))) (.f64 1/81 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 16)) (pow.f64 (cos.f64 y) 16)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 16)) (pow.f64 (cos.f64 y) 16)) 1/18))))) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/18) (pow.f64 (.f64 z (cos.f64 y)) 1/18)) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) 2))) -4/81)))) (.f64 x x) (cbrt.f64 (*.f64 z (cos.f64 y)))))
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(pow.f64 z 1/3)
(cbrt.f64 z)
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(fma.f64 (.f64 (.f64 x (cbrt.f64 (/.f64 1 (*.f64 z z)))) 1/3) y (cbrt.f64 z))
(fma.f64 y (.f64 (.f64 x (cbrt.f64 (/.f64 1 (*.f64 z z)))) 1/3) (cbrt.f64 z))
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(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
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(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/18 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 2))))) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/27 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))) (.f64 -1/4374 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z))))))) (pow.f64 z 3))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (cos.f64 y))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) (/.f64 (.f64 z z) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) -4/81))) (fma.f64 -1 (/.f64 (fma.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) -163/4374)) (/.f64 (pow.f64 z 3) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))))) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) (.f64 1/9 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) z))))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 z)))) z) (/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) -4/81) z)) (/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) -68/2187) (/.f64 (pow.f64 z 3) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 z))))))) (fma.f64 1/9 (.f64 (/.f64 (.f64 (sin.f64 y) x) z) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 z)))) (cos.f64 y))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 z))))))

prune426.0ms (8.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	304	1	305
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	304	10	314

Error

0.0b

Counts

314 → 10

Alt Table

Status	Error	Program
✓	1.8b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 3) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
✓	1.4b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	40.3b	(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
	31.3b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 3) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2)))
	27.7b	(fma.f64 x (sin.f64 y) (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))))
	51.9b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))))
	30.9b	(fma.f64 x (sin.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
	25.2b	(fma.f64 (cos.f64 y) z (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2))
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

Compiler

Compiled 23780 to 13103 computations (44.9% saved)

regimes106.0ms (2.1%)

Accuracy

Total -61.6b remaining (-52610.9%)

Threshold costs -61.6b (-52610.9%)

Counts

42 → 1

Compiler

Compiled 676 to 183 computations (72.9% 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 (cos.f64 y) z (*.f64 (sin.f64 y) x))

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

end103.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 201 to 66 computations (67.2% saved)

Details

analyze674.0ms (13.4%)

sample2.7s (53.7%)

preprocess17.0ms (0.3%)

simplify13.0ms (0.3%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

series9.0ms (0.2%)

rewrite41.0ms (0.8%)

simplify71.0ms (1.4%)

prune70.0ms (1.4%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite45.0ms (0.9%)

simplify40.0ms (0.8%)

prune53.0ms (1.1%)

localize10.0ms (0.2%)

series28.0ms (0.6%)

rewrite57.0ms (1.1%)

simplify72.0ms (1.4%)

prune158.0ms (3.1%)

localize13.0ms (0.3%)

series116.0ms (2.3%)

rewrite52.0ms (1%)

simplify135.0ms (2.7%)

prune426.0ms (8.5%)

regimes106.0ms (2.1%)

simplify2.0ms (0%)

end103.0ms (2%)

Profiling