Details

analyze354.0ms (7.4%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.0s (62.5%)

Results

1.4s	1964×	body	1024	valid
723.0ms	4469×	body	64	valid
547.0ms	1019×	body	512	valid
257.0ms	537×	body	256	valid
90.0ms	264×	body	128	valid
3.0ms	3×	body	2048	valid

preprocess16.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series10.0ms (0.2%)

Counts

3 → 44

Calls

18 calls:

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

rewrite56.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
672×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	156	21
2	1853	21

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

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

Outputs

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

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

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

simplify119.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1019×	`fma-def_binary64`
600×	`distribute-lft-out_binary64`
465×	`associate-+l+_binary64`
438×	`unswap-sqr_binary64`
431×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	518
1	139	507
2	348	495
3	986	495
4	2805	495
5	3693	495
6	5428	495
7	5769	495
8	6351	495
9	6764	495
10	7228	495
11	7754	495

Stop Event

1×	node limit

Counts

94 → 76

Calls

Call 1

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

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

prune113.0ms (2.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	68	8	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	8	77

Error

0.1b

Counts

77 → 8

Alt Table

Status	Error	Program
	0.2b	(fma.f64 x (cos.f64 y) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
	1.3b	(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
	8.6b	(fma.f64 x (cos.f64 y) (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
	41.9b	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
	8.6b	(fma.f64 x (cos.f64 y) (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
	31.3b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
▶	0.1b	(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
	5.7b	(fma.f64 x (cos.f64 y) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))

Compiler

Compiled 1243 to 549 computations (55.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

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

rewrite49.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
672×	`add-exp-log_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 → 34

Calls

Call 1

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

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

Outputs

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

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

simplify145.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1902×	`fma-def_binary64`
690×	`sqr-pow_binary64`
415×	`cube-prod_binary64`
411×	`*-commutative_binary64`
396×	`pow-sqr_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	38	458
1	99	458
2	268	451
3	883	446
4	2418	446
5	3422	446
6	3611	446
7	3772	446
8	3938	446
9	4158	443
10	5451	443
11	5813	443
12	6268	443
13	6821	443
14	7570	443
15	7980	443

Stop Event

1×	node limit

Counts

74 → 51

Calls

Call 1

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

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

prune120.0ms (2.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	74	8	82

Error

0.1b

Counts

82 → 8

Alt Table

Status	Error	Program
	8.6b	(fma.f64 z (log.f64 (exp.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))
	41.9b	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
▶	0.2b	(fma.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))
	8.6b	(fma.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1) (*.f64 (cos.f64 y) x))
	27.4b	(fma.f64 z (sin.f64 y) (cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
	31.3b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
	1.3b	(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
	5.7b	(fma.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3)) (*.f64 (cos.f64 y) x))

Compiler

Compiled 1228 to 527 computations (57.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))
	0.1b	(*.f64 (cos.f64 y) x)
✓	0.1b	(expm1.f64 (sin.f64 y))
✓	0.2b	(log1p.f64 (expm1.f64 (sin.f64 y)))

series6.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(expm1.f64 (sin.f64 y))
0.0ms	y	@	0	(expm1.f64 (sin.f64 y))
0.0ms	y	@	0	(log1p.f64 (expm1.f64 (sin.f64 y)))
0.0ms	y	@	-inf	(expm1.f64 (sin.f64 y))
0.0ms	y	@	inf	(log1p.f64 (expm1.f64 (sin.f64 y)))

rewrite51.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`pow1_binary64`
765×	`expm1-log1p-u_binary64`
764×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
745×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	178	20
2	2063	20

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (sin.f64 y)))
(expm1.f64 (sin.f64 y))
(fma.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))

Outputs

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

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

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

simplify116.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-def_binary64`
662×	`distribute-lft-out_binary64`
642×	`*-commutative_binary64`
585×	`sqr-pow_binary64`
507×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	558
1	147	553
2	337	549
3	933	547
4	2580	547
5	3922	547
6	5023	547
7	5422	547
8	6036	547
9	6476	547
10	6980	547
11	7610	547

Stop Event

1×	node limit

Counts

115 → 82

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (.f64 1/2 (.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(*.f64 y (fma.f64 y 1/2 1))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (.f64 y (.f64 y 1/2))))
(fma.f64 -1/8 (pow.f64 y 4) (fma.f64 1/2 (*.f64 y y) y))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) -1/8 1/2) y)
(fma.f64 (fma.f64 y 1/2 1) y (*.f64 -1/8 (pow.f64 y 4)))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 5) -1/15))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 (pow.f64 y 5) -1/15 (.f64 y (.f64 y 1/2)))))
(fma.f64 -1/8 (pow.f64 y 4) (+.f64 (.f64 1/2 (.f64 y y)) (fma.f64 (pow.f64 y 5) -1/15 y)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) -1/8 1/2) (fma.f64 (pow.f64 y 5) -1/15 y))
(fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 (pow.f64 y 5) -1/15 y)))
(fma.f64 (pow.f64 y 5) -1/15 (fma.f64 (fma.f64 y 1/2 1) y (*.f64 -1/8 (pow.f64 y 4))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 (.f64 y y) x) x))
(fma.f64 y z (fma.f64 (.f64 (.f64 -1/2 y) y) x x))
(fma.f64 y z (fma.f64 x (.f64 y (.f64 y -1/2)) x))
(fma.f64 y z (fma.f64 y (.f64 y (.f64 x -1/2)) x))
(fma.f64 x (fma.f64 (.f64 y y) -1/2 1) (.f64 y z))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x)))
(+.f64 (fma.f64 (.f64 (.f64 -1/2 y) y) x x) (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 x (.f64 y (.f64 y -1/2)) x))
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 y (.f64 y (.f64 x -1/2)) x))
(fma.f64 x (fma.f64 (.f64 y y) -1/2 1) (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 y (.f64 y (.f64 x -1/2)) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))

prune188.0ms (3.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	101	9	110

Error

0.1b

Counts

110 → 9

Alt Table

Status	Error	Program
▶	1.3b	(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 3)
	5.7b	(fma.f64 z (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))) (*.f64 (cos.f64 y) x))
	32.9b	(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 2)))
	27.4b	(fma.f64 z (sin.f64 y) (cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
	8.6b	(fma.f64 z (log.f64 (exp.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))
	41.9b	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
✓	0.2b	(fma.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))
	8.6b	(fma.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1) (*.f64 (cos.f64 y) x))
	31.3b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)

Compiler

Compiled 1716 to 712 computations (58.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
	0.1b	(*.f64 (cos.f64 y) x)
✓	0.6b	(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 3)

series26.0ms (0.5%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 3)
4.0ms	z	@	0	(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 3)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 3)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 3)

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
857×	`add-log-exp_binary64`
857×	`log1p-expm1-u_binary64`
857×	`expm1-log1p-u_binary64`
835×	`add-exp-log_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 → 44

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-rgt-in_binary64`
632×	`distribute-lft-in_binary64`
582×	`associate-+l+_binary64`
408×	`associate-r_binary64`
315×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	3486
1	877	3108
2	3493	3099

Stop Event

1×	node limit

Counts

84 → 93

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9) (sin.f64 y)))) z) (.f64 (cos.f64 y) x))
(fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/18)) (sin.f64 y)) 1) z (.f64 (cos.f64 y) x))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/18)) (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (.f64 (cos.f64 y) x) 1/3))))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9) (sin.f64 y)))) z) (*.f64 (cos.f64 y) x)))
(fma.f64 (.f64 z z) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18)) (pow.f64 (sin.f64 y) 2)) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18)) (pow.f64 (sin.f64 y) 2)) (.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/18))) -1/9) (cbrt.f64 (.f64 (cos.f64 y) x))))) (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/18)) (sin.f64 y)) 1) z (.f64 (cos.f64 y) x)))
(fma.f64 (.f64 z z) (+.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/18))) (.f64 -1/9 (cbrt.f64 (.f64 (cos.f64 y) x)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18)) (pow.f64 (sin.f64 y) 2)) 1/9)) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/18)) (sin.f64 y)) z (.f64 (cos.f64 y) x)))
(fma.f64 (.f64 z z) (+.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/18))) (.f64 -1/9 (cbrt.f64 (.f64 (cos.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 x) (cos.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 x) (cos.f64 y)) 1/18)) 1/9))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/18)) (sin.f64 y)) z (.f64 (cos.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))))) (.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/3) (+.f64 (.f64 -2/27 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (cos.f64 y) x))) (.f64 -2/3 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3)))))))) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (.f64 (cos.f64 y) x) 1/3))))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)) 1/9) (sin.f64 y)))) z) (*.f64 (cos.f64 y) x))))
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x
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(fma.f64 (.f64 (.f64 z (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) 1) y x)
(fma.f64 y (.f64 z (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) x)
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(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
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(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
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(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
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(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
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(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
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(fma.f64 x (.f64 (cos.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18))) (fma.f64 (sin.f64 y) z (.f64 x (.f64 x (fma.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18))) -1/9) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1/18) (pow.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1/18)) (*.f64 1/9 (pow.f64 (cos.f64 y) 2))))))))
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(fma.f64 (fma.f64 (fma.f64 -2/27 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (sin.f64 y) z)) (.f64 -2/3 (.f64 (fma.f64 -2/9 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)))) (.f64 (.f64 1/27 (pow.f64 (cos.f64 y) 3)) (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2))))) (cbrt.f64 (/.f64 1 (.f64 (sin.f64 y) z)))))) (cbrt.f64 (.f64 (sin.f64 y) z)) (fma.f64 -2/27 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)))) (fma.f64 1/3 (.f64 (cos.f64 y) (.f64 (fma.f64 1/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18))) (.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18))) (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)))) (.f64 -1/3 (fma.f64 -2/9 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)))) (.f64 (.f64 1/27 (pow.f64 (cos.f64 y) 3)) (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2))))))))) (pow.f64 x 3) (fma.f64 (.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18))) 1) x (fma.f64 (fma.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (fma.f64 1/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18))) (.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18))) (pow.f64 (cos.f64 y) 2))) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1/18) (pow.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1/18))) 1/9)) (.f64 x x) (.f64 (sin.f64 y) z))))
(fma.f64 (fma.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (fma.f64 -2/27 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (sin.f64 y) z)) (.f64 -2/3 (.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))))) -5/27) (cbrt.f64 (/.f64 1 (.f64 (sin.f64 y) z)))))) (fma.f64 -2/27 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))))) (fma.f64 1/3 (.f64 (cos.f64 y) (.f64 (.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18))) -1/9) (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18)) (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))))) -5/27))))) (pow.f64 x 3) (fma.f64 x (.f64 (cos.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18))) (fma.f64 (sin.f64 y) z (.f64 (.f64 x x) (fma.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18))) -1/9) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1/18) (pow.f64 (cos.f64 y) 2)))))))))
(fma.f64 (fma.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (fma.f64 -2/27 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (sin.f64 y) z)) (.f64 -2/3 (.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))))) -5/27) (cbrt.f64 (/.f64 1 (.f64 (sin.f64 y) z)))))) (fma.f64 -2/27 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))))) (fma.f64 1/3 (.f64 (cos.f64 y) (.f64 (.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18))) -1/9) (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18)) (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18))) (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))))) 5/81)))) (pow.f64 x 3) (fma.f64 x (.f64 (cos.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18))) (fma.f64 (sin.f64 y) z (.f64 x (.f64 x (fma.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18))) -1/9) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1/18) (pow.f64 (/.f64 1 (.f64 (sin.f64 y) z)) 1/18)) (*.f64 1/9 (pow.f64 (cos.f64 y) 2)))))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (.f64 1/3 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))
(fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18)))) (cbrt.f64 (.f64 (cos.f64 y) x)))
(fma.f64 (.f64 1/3 (.f64 (sin.f64 y) z)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18)) (cbrt.f64 (.f64 (cos.f64 y) x)))
(fma.f64 (.f64 (.f64 1/3 z) (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2)))) 1/18)) (cbrt.f64 (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3)))
(fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18)))) (cbrt.f64 (.f64 (cos.f64 y) x))))
(fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)))) (fma.f64 (.f64 1/3 (.f64 (sin.f64 y) z)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18)) (cbrt.f64 (.f64 (cos.f64 y) x))))
(fma.f64 (.f64 (.f64 -1/9 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)) (fma.f64 (.f64 (.f64 1/3 z) (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2)))) 1/18)) (cbrt.f64 (.f64 (cos.f64 y) x))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3)))) (pow.f64 z 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))))
(fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18)))) (fma.f64 -1/3 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) -5/27) (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))))) (cbrt.f64 (.f64 (cos.f64 y) x)))))
(fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)))) (fma.f64 1/3 (.f64 z (.f64 (.f64 (sin.f64 y) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18))) (fma.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) 5/81) (pow.f64 z 3)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)))) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2)))) 1/18)))) (fma.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))))) (pow.f64 (sin.f64 y) 3)) 5/81) (pow.f64 z 3)) (cbrt.f64 (/.f64 1 (.f64 x (.f64 x (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (*.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))))
(+.f64 (cbrt.f64 x) (.f64 (.f64 1/3 (.f64 y z)) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18))))
(fma.f64 1/3 (.f64 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (cbrt.f64 x))
(fma.f64 1/3 (.f64 (.f64 (*.f64 y z) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (*.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 x) 1/9)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))))
(+.f64 (cbrt.f64 x) (.f64 1/3 (+.f64 (.f64 y (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)))) (.f64 (-.f64 (.f64 x -1/2) (.f64 (.f64 1/3 (.f64 z z)) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (*.f64 x x))))))))
(fma.f64 1/3 (fma.f64 y (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18))) (.f64 (fma.f64 x -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (.f64 x x)))))) (cbrt.f64 x))
(fma.f64 1/3 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (.f64 y z) (.f64 (fma.f64 x -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))) (.f64 (*.f64 y y) (cbrt.f64 (/.f64 (/.f64 1 x) x))))) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/6 z) (+.f64 (.f64 1/27 (.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 x) 1/9)))) z) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (*.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 x) 1/9)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 y (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)))) (.f64 1/3 (+.f64 (.f64 (-.f64 (.f64 z -1/6) (fma.f64 1/27 (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (.f64 x x)))) (.f64 2/3 (.f64 (-.f64 (.f64 x -1/2) (.f64 (.f64 1/3 (.f64 z z)) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))) (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18))))))) (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 (-.f64 (.f64 x -1/2) (.f64 (.f64 1/3 (.f64 z z)) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (.f64 x x)))))))))
(+.f64 (cbrt.f64 x) (.f64 1/3 (+.f64 (.f64 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 z -1/6) (fma.f64 1/27 (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (.f64 x x)))) (.f64 (fma.f64 x -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))) (.f64 (.f64 (.f64 z (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) 2/3))))) (.f64 (fma.f64 x -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))) (.f64 y y)))))))
(+.f64 (cbrt.f64 x) (.f64 1/3 (+.f64 (.f64 (.f64 (.f64 y z) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (.f64 (.f64 y y) (+.f64 (.f64 (+.f64 (fma.f64 z -1/6 (.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (.f64 (pow.f64 z 3) -1/27))) (.f64 -2/3 (.f64 (fma.f64 x -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))) (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)))))) y) (fma.f64 x -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))))))))))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(+.f64 (.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9))) (pow.f64 (*.f64 z (sin.f64 y)) 1/3))
(fma.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18))) (cbrt.f64 (.f64 (sin.f64 y) z)))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (.f64 (cos.f64 y) x))) (cbrt.f64 (.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9))) (pow.f64 (*.f64 z (sin.f64 y)) 1/3)))
(fma.f64 -1/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)))) (fma.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18))) (cbrt.f64 (.f64 (sin.f64 y) z))))
(fma.f64 -1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)))) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (.f64 (cos.f64 y) x))) (cbrt.f64 (.f64 (sin.f64 y) z))))
(fma.f64 -1/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 (.f64 x x) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18))) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (.f64 (cos.f64 y) x))) (cbrt.f64 (.f64 (sin.f64 y) z))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/3) (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))))
(fma.f64 -1/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)))) (+.f64 (fma.f64 1/3 (.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18))) (cbrt.f64 (.f64 (sin.f64 y) z))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2))) (.f64 (fma.f64 -2/9 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)))) (.f64 (.f64 1/27 (pow.f64 (cos.f64 y) 3)) (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 3))))))
(fma.f64 -1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)))) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (.f64 (cos.f64 y) x))) (fma.f64 (.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))))) -5/27)) (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (cbrt.f64 (.f64 (sin.f64 y) z)))))
(fma.f64 -1/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 (.f64 x x) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18))) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))) 1/18) (.f64 (cos.f64 y) x))) (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2)))))) 5/81) (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (cbrt.f64 (*.f64 (sin.f64 y) z)))))

prune180.0ms (3.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	143	10	153

Error

0.0b

Counts

153 → 10

Alt Table

Status	Error	Program
✓	1.3b	(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 3)
	5.7b	(fma.f64 z (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))) (*.f64 (cos.f64 y) x))
	32.9b	(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 2)))
	27.4b	(fma.f64 z (sin.f64 y) (cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
	1.8b	(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
	8.6b	(fma.f64 z (log.f64 (exp.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))
	41.9b	(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
✓	0.2b	(fma.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))
	8.6b	(fma.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1) (*.f64 (cos.f64 y) x))
	31.3b	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)

Compiler

Compiled 5724 to 3375 computations (41% saved)

regimes49.0ms (1%)

Accuracy

Total -55.1b remaining (-40328.3%)

Threshold costs -55.1b (-40328.3%)

Counts

20 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 3)
(fma.f64 z (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))) (*.f64 (cos.f64 y) x))
(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 2)))
(fma.f64 z (log.f64 (exp.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3)) (+.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(fma.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(fma.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(fma.f64 x (cos.f64 y) (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(fma.f64 x (cos.f64 y) (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

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

Results

10.0ms	0.1b	`x`
11.0ms	0.1b	`y`
11.0ms	0.1b	`z`
10.0ms	0.1b	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 333 to 114 computations (65.8% 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 z (sin.f64 y) (*.f64 (cos.f64 y) x))

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

end16.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 22 to 14 computations (36.4% saved)

Details

analyze354.0ms (7.4%)

sample3.0s (62.5%)

preprocess16.0ms (0.3%)

simplify8.0ms (0.2%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

series10.0ms (0.2%)

rewrite56.0ms (1.2%)

simplify119.0ms (2.5%)

prune113.0ms (2.4%)

localize8.0ms (0.2%)

series6.0ms (0.1%)

rewrite49.0ms (1%)

simplify145.0ms (3%)

prune120.0ms (2.5%)

localize10.0ms (0.2%)

series6.0ms (0.1%)

rewrite51.0ms (1.1%)

simplify116.0ms (2.4%)

prune188.0ms (3.9%)

localize9.0ms (0.2%)

series26.0ms (0.5%)

rewrite53.0ms (1.1%)

simplify74.0ms (1.5%)

prune180.0ms (3.8%)

regimes49.0ms (1%)

simplify2.0ms (0%)

end16.0ms (0.3%)

Profiling