Details

analyze661.0ms (13.7%)

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)

sample2.9s (60.5%)

Results

1.5s	2021×	body	1024	valid
798.0ms	4678×	body	128	valid
440.0ms	1047×	body	512	valid
166.0ms	507×	body	256	valid
4.0ms	3×	body	2048	valid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess18.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (.f64 x (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)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 x (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)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series12.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

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

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 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)))))))))

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

744×	`cancel-sign-sub-inv_binary64`
697×	`fma-def_binary64`
362×	`fma-neg_binary64`
276×	`sub-neg_binary64`
234×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	588
1	107	587
2	326	576
3	1247	568
4	4695	568

Stop Event

1×	node limit

Counts

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

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

prune40.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Error

0.0b

Counts

54 → 6

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	24.9b	(fma.f64 x (sin.f64 y) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
	34.2b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
	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))
	30.6b	(-.f64 (+.f64 (.f64 y x) z) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/2 (*.f64 (pow.f64 y 2) z))))

Compiler

Compiled 875 to 362 computations (58.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	0.1b	(*.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 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)

series94.0ms (2%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
36.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
31.0ms	z	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
9.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
5.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
3.0ms	y	@	0	(cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs
((#(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 (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 1 (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) (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) (.f64 (cbrt.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 (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 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/6) (.f64 (pow.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)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 2) 3) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) 1) (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 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) (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 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) (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 (+.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 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 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))))))
((#(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 (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 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) 1/3))))) (#(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 (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 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) 2) 1/3) (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 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 (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 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))))))

Outputs

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

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

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-neg_binary64`
573×	`fma-def_binary64`
507×	`*-commutative_binary64`
332×	`cancel-sign-sub-inv_binary64`
272×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1552
1	437	1522
2	1558	1497
3	4587	1494

Stop Event

1×	node limit

Counts

89 → 90

Calls

Call 1

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

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

prune88.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	143	6	149

Error

0.0b

Counts

149 → 6

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	24.9b	(fma.f64 x (sin.f64 y) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
	34.2b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
▶	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))
	2.2b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 2) 3) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))

Compiler

Compiled 3269 to 1582 computations (51.6% saved)

localize13.0ms (0.3%)

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))
✓	0.6b	(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))))

series12.0ms (0.2%)

Counts

2 → 56

Calls

18 calls:

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

rewrite54.0ms (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	29
1	239	29
2	2470	29

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs

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

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

486×	`fma-def_binary64`
475×	`times-frac_binary64`
347×	`cancel-sign-sub-inv_binary64`
312×	`associate-/l*_binary64`
252×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1369
1	369	1347
2	1432	1320

Stop Event

1×	node limit

Counts

93 → 74

Calls

Call 1

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

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

prune130.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	214	6	220

Error

0.0b

Counts

220 → 6

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	24.9b	(fma.f64 x (sin.f64 y) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
	2.2b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 2) 3) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
▶	1.5b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))) 2))
	34.2b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)

Compiler

Compiled 7379 to 3145 computations (57.4% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series33.0ms (0.7%)

Counts

3 → 43

Calls

21 calls:

Time	Variable		Point	Expression
12.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
3.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms	z	@	-inf	(cbrt.f64 (*.f64 z (cos.f64 y)))
2.0ms	z	@	0	(cbrt.f64 (fma.f64 x (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))

rewrite51.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`log-prod_binary64`
297×	`prod-diff_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`
170×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	244	28
2	2543	28

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

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

Outputs

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

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

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

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-neg_binary64`
533×	`fma-def_binary64`
407×	`*-commutative_binary64`
327×	`cancel-sign-sub-inv_binary64`
262×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1027
1	374	996
2	1339	960
3	4127	959

Stop Event

1×	node limit

Counts

130 → 120

Calls

Call 1

Inputs
z
(-.f64 z (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 1/720 (.f64 (pow.f64 y 6) 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)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(+.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 y) x) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9))) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 y) x) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9))) (pow.f64 (.f64 (cos.f64 y) z) 1/3)) (.f64 1/9 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 z 7))) 1/9))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 y) x) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9))) (+.f64 (.f64 5/81 (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4))) 1/3))) (pow.f64 (.f64 (cos.f64 y) z) 1/3))) (.f64 1/9 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 z 7))) 1/9))))
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9))))
(-.f64 (+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/9)))))
(-.f64 (+.f64 (pow.f64 z 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 3) x) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9))) (.f64 5/81 (.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (+.f64 (.f64 1/18 (.f64 (.f64 (pow.f64 y 3) x) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))) (.f64 1/9 (.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/9))))))
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(pow.f64 z 1/3)
(-.f64 (pow.f64 z 1/3) (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))))
(-.f64 (pow.f64 z 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (.f64 1/72 (.f64 (pow.f64 y 4) (pow.f64 z 1/3)))))
(-.f64 (pow.f64 z 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (+.f64 (.f64 23/6480 (.f64 (pow.f64 y 6) (pow.f64 z 1/3))) (.f64 1/72 (.f64 (pow.f64 y 4) (pow.f64 z 1/3))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)

Outputs
z
(-.f64 z (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(+.f64 z (.f64 -1/2 (.f64 z (*.f64 y y))))
(-.f64 z (.f64 z (.f64 1/2 (*.f64 y y))))
(fma.f64 (.f64 z -1/2) (.f64 y y) z)
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(-.f64 (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z) (.f64 1/2 (.f64 z (.f64 y y))))
(fma.f64 1/24 (.f64 z (pow.f64 y 4)) (-.f64 z (.f64 z (.f64 1/2 (.f64 y y)))))
(.f64 z (+.f64 (.f64 (*.f64 y y) -1/2) (fma.f64 1/24 (pow.f64 y 4) 1)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 1/720 (.f64 (pow.f64 y 6) z))))
(-.f64 (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z) (fma.f64 1/2 (.f64 z (.f64 y y)) (.f64 1/720 (*.f64 z (pow.f64 y 6)))))
(-.f64 (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z) (.f64 z (+.f64 (.f64 1/2 (.f64 y y)) (*.f64 1/720 (pow.f64 y 6)))))
(+.f64 z (.f64 z (-.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 1/2 (.f64 y y) (.f64 1/720 (pow.f64 y 6))))))
(fma.f64 z (fma.f64 1/24 (pow.f64 y 4) 1) (.f64 z (fma.f64 (.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720))))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(+.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 y) x) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9))) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(fma.f64 1/3 (.f64 (.f64 (sin.f64 y) x) (.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))) (cbrt.f64 (.f64 z (cos.f64 y))))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 x (.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)))) (cbrt.f64 (.f64 z (cos.f64 y))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 y) x) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9))) (pow.f64 (.f64 (cos.f64 y) z) 1/3)) (.f64 1/9 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 z 7))) 1/9))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (sin.f64 y) x) (.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))) (cbrt.f64 (.f64 z (cos.f64 y)))) (.f64 -1/9 (.f64 (.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2)) (.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 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 x (.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)))) (cbrt.f64 (.f64 z (cos.f64 y)))) (.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (.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)) 1/9)))
(fma.f64 (.f64 (.f64 x x) (.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)) (pow.f64 (sin.f64 y) 2))) -1/9 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 x (.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)))) (cbrt.f64 (.f64 z (cos.f64 y)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 y) x) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9))) (+.f64 (.f64 5/81 (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4))) 1/3))) (pow.f64 (.f64 (cos.f64 y) z) 1/3))) (.f64 1/9 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 z 7))) 1/9))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (sin.f64 y) x) (.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))) (fma.f64 5/81 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)))))) (cbrt.f64 (.f64 z (cos.f64 y))))) (.f64 -1/9 (.f64 (.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2)) (.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 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 x (.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)))) (fma.f64 5/81 (.f64 (pow.f64 x 3) (.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)))))) (cbrt.f64 (.f64 z (cos.f64 y))))) (.f64 (.f64 -1/9 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))) (.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))))
(fma.f64 (.f64 (.f64 x x) (.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)) (pow.f64 (sin.f64 y) 2))) -1/9 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 x (.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)))) (fma.f64 5/81 (.f64 (pow.f64 x 3) (.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)))))) (cbrt.f64 (*.f64 z (cos.f64 y))))))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9))))
(+.f64 (cbrt.f64 z) (.f64 1/3 (.f64 y (.f64 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 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))
(fma.f64 y (.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (*.f64 z z)) 1/18)))) (cbrt.f64 z))
(-.f64 (+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/9)))))
(-.f64 (+.f64 (cbrt.f64 z) (.f64 1/3 (.f64 y (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)))))) (fma.f64 1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (.f64 (.f64 1/9 (.f64 (.f64 y y) (.f64 x x))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18)))))
(-.f64 (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)) (fma.f64 1/9 (.f64 y (.f64 y (.f64 x (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18)))))) (.f64 (.f64 y y) (*.f64 (cbrt.f64 z) 1/6))))
(-.f64 (fma.f64 y (.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)))) (cbrt.f64 z)) (.f64 (.f64 y y) (+.f64 (.f64 (cbrt.f64 z) 1/6) (.f64 1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18)))))))
(-.f64 (+.f64 (pow.f64 z 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 3) x) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9))) (.f64 5/81 (.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (+.f64 (.f64 1/18 (.f64 (.f64 (pow.f64 y 3) x) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))) (.f64 1/9 (.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/9))))))
(-.f64 (+.f64 (cbrt.f64 z) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (.f64 x (pow.f64 y 3))) (fma.f64 1/3 (.f64 y (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)))) (.f64 (.f64 5/81 (.f64 (pow.f64 x 3) (pow.f64 y 3))) (cbrt.f64 (/.f64 1 (pow.f64 z 4))))))) (fma.f64 1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (fma.f64 1/18 (.f64 (pow.f64 y 3) (.f64 x (cbrt.f64 (/.f64 1 (.f64 z z))))) (.f64 (.f64 1/9 (.f64 (.f64 y y) (.f64 x x))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18))))))
(+.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 z 4))) (.f64 5/81 (.f64 (pow.f64 x 3) (pow.f64 y 3)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (+.f64 (.f64 1/9 (.f64 x (pow.f64 y 3))) (.f64 (.f64 1/3 x) y)))) (-.f64 (cbrt.f64 z) (fma.f64 1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (fma.f64 1/18 (.f64 x (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (.f64 z z))))) (.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18))) (.f64 (.f64 y y) (.f64 x x)))))))
(-.f64 (fma.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (.f64 x (+.f64 (.f64 1/9 (pow.f64 y 3)) (.f64 y 1/3))) (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 z 4))))) (cbrt.f64 z))) (fma.f64 (pow.f64 y 3) (.f64 1/18 (.f64 x (cbrt.f64 (/.f64 1 (.f64 z z))))) (.f64 (.f64 y y) (+.f64 (.f64 (cbrt.f64 z) 1/6) (.f64 1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18))))))))
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 1/3)
(cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(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))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 z 1/3)
(cbrt.f64 z)
(-.f64 (pow.f64 z 1/3) (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))))
(+.f64 (cbrt.f64 z) (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))))
(+.f64 (cbrt.f64 z) (.f64 (.f64 (*.f64 y y) (cbrt.f64 z)) -1/6))
(fma.f64 (.f64 y (.f64 y (cbrt.f64 z))) -1/6 (cbrt.f64 z))
(-.f64 (pow.f64 z 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (.f64 1/72 (.f64 (pow.f64 y 4) (pow.f64 z 1/3)))))
(-.f64 (cbrt.f64 z) (fma.f64 1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (.f64 1/72 (.f64 (pow.f64 y 4) (cbrt.f64 z)))))
(-.f64 (cbrt.f64 z) (.f64 (cbrt.f64 z) (+.f64 (.f64 (.f64 y y) 1/6) (.f64 (pow.f64 y 4) 1/72))))
(-.f64 (cbrt.f64 z) (.f64 (cbrt.f64 z) (fma.f64 (.f64 y y) 1/6 (*.f64 (pow.f64 y 4) 1/72))))
(+.f64 (cbrt.f64 z) (.f64 (cbrt.f64 z) (fma.f64 (.f64 y y) -1/6 (*.f64 (pow.f64 y 4) -1/72))))
(-.f64 (pow.f64 z 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (+.f64 (.f64 23/6480 (.f64 (pow.f64 y 6) (pow.f64 z 1/3))) (.f64 1/72 (.f64 (pow.f64 y 4) (pow.f64 z 1/3))))))
(-.f64 (cbrt.f64 z) (fma.f64 1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (fma.f64 23/6480 (.f64 (pow.f64 y 6) (cbrt.f64 z)) (.f64 1/72 (*.f64 (pow.f64 y 4) (cbrt.f64 z))))))
(-.f64 (cbrt.f64 z) (fma.f64 1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (.f64 (cbrt.f64 z) (+.f64 (.f64 (pow.f64 y 6) 23/6480) (*.f64 (pow.f64 y 4) 1/72)))))
(-.f64 (cbrt.f64 z) (.f64 (cbrt.f64 z) (+.f64 (.f64 y (.f64 y 1/6)) (fma.f64 (pow.f64 y 6) 23/6480 (.f64 (pow.f64 y 4) 1/72)))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))

prune112.0ms (2.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	168	6	174

Error

0.0b

Counts

174 → 6

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
	24.9b	(fma.f64 x (sin.f64 y) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
	2.2b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) 2) 3) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
✓	1.5b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))) 2))
	34.2b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)

Compiler

Compiled 6094 to 2647 computations (56.6% saved)

regimes125.0ms (2.6%)

Accuracy

Total 0.0b remaining (37.9%)

Threshold costs 0.0b (37.9%)

Counts

42 → 1

Compiler

Compiled 663 to 200 computations (69.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12

Stop Event

1×

saturated

Calls

Call 1

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

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

end109.0ms (2.3%)

Stop Event

1×

fuel

Compiler

Compiled 129 to 81 computations (37.2% saved)

Details

analyze661.0ms (13.7%)

sample2.9s (60.5%)

preprocess18.0ms (0.4%)

simplify7.0ms (0.1%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series12.0ms (0.3%)

rewrite45.0ms (0.9%)

simplify47.0ms (1%)

prune40.0ms (0.8%)

localize9.0ms (0.2%)

series94.0ms (2%)

rewrite47.0ms (1%)

simplify61.0ms (1.3%)

prune88.0ms (1.8%)

localize13.0ms (0.3%)

series12.0ms (0.2%)

rewrite54.0ms (1.1%)

simplify51.0ms (1.1%)

prune130.0ms (2.7%)

localize18.0ms (0.4%)

series33.0ms (0.7%)

rewrite51.0ms (1.1%)

simplify49.0ms (1%)

prune112.0ms (2.3%)

regimes125.0ms (2.6%)

simplify2.0ms (0%)

end109.0ms (2.3%)

Profiling