Details

analyze268.0ms (2.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	8
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	9
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.3s (26.6%)

Results

1.7s	2047×	body	1024	valid
1.2s	5167×	body	256	valid
383.0ms	1040×	body	512	valid
1.0ms	2×	body	2048	valid

Bogosity

preprocess57.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

780×	`fma-def`
488×	`associate-r`
310×	`associate--r+`
264×	`associate-+r+`
254×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	56	108
2	99	108
3	166	108
4	255	108
5	452	108
6	821	108
7	1422	108
8	2069	108
9	2618	108
10	2644	108
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 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.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 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

222×	`fma-def`
106×	`associate-r`
100×	`+-commutative`
98×	`associate--r+`
82×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27

Stop Event

1×

saturated

Counts

1 → 1

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)))

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

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

rewrite173.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`unswap-sqr`
786×	`swap-sqr`
730×	`distribute-rgt-in`
682×	`distribute-lft-in`
546×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	233	54
2	3079	54

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

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

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

simplify226.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1922×	`associate-+l+`
1158×	`fma-def`
1068×	`+-commutative`
778×	`associate-r`
768×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	595	12041
1	1688	11531
2	7724	11531

Stop Event

1×	node limit

Counts

309 → 334

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 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
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 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
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)))))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) 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 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) (.f64 (.f64 z (sin.f64 y)) 0))) 1) (-.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (neg.f64 (sin.f64 y))) 3)) 1) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (neg.f64 (sin.f64 y))) (-.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 x (cos.f64 y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3) (pow.f64 (.f64 (.f64 z (sin.f64 y)) 0) 3)) 1) (+.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2) (.f64 (.f64 (.f64 z (sin.f64 y)) 0) (-.f64 (.f64 (.f64 z (sin.f64 y)) 0) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (cos.f64 y)) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (.f64 z (sin.f64 y)) (pow.f64 (.f64 z (sin.f64 y)) 3))) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (.f64 (.f64 x (cos.f64 y)) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (+.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (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)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))

Outputs
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(*.f64 z (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 (.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 (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(fma.f64 -1/2 (.f64 (.f64 x y) y) 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 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 (*.f64 x y) y) 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)))
(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 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 (.f64 x y) y) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.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)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (.f64 y z) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x))
(fma.f64 (neg.f64 y) z (fma.f64 -1/2 (.f64 (.f64 x y) y) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (.f64 y z) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 1/6 (.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/2 (.f64 (.f64 x y) y) (fma.f64 (.f64 z (pow.f64 y 3)) 1/6 x)) (.f64 y z))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3)) (fma.f64 z (.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) (pow.f64 (.f64 (cos.f64 y) x) 2))) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 6) (fma.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (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)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 z (.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 z (.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 z (.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3) 1/3)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 z (.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) 2))
(fabs.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))

eval117.0ms (0.9%)

Compiler: Compiled 9339 to 2591 computations (72.3% saved)

prune147.0ms (1.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	316	18	334
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	316	19	335

Error

0.0b

Counts

335 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	27.6b	(fma.f64 (neg.f64 y) z (fma.f64 -1/2 (.f64 (.f64 x y) y) x))
	32.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	1.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	40.7b	(/.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 3) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2))
	46.4b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 4) (pow.f64 (.f64 z (sin.f64 y)) 4)) (.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2))))
	0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
▶	27.1b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
	7.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	18.7b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
	11.3b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	26.1b	(-.f64 x (*.f64 y z))
	0.2b	(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
▶	27.6b	(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
▶	1.3b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	28.0b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))
	27.8b	(.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))
	37.6b	(*.f64 (neg.f64 z) (sin.f64 y))

Compiler

Compiled 710 to 420 computations (40.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series55.0ms (0.4%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	y	@	inf	(log1p.f64 (sin.f64 y))
16.0ms	y	@	-inf	(log1p.f64 (sin.f64 y))
0.0ms	y	@	0	(log1p.f64 (sin.f64 y))
0.0ms	z	@	inf	(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))
0.0ms	y	@	0	(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1436×	`*-un-lft-identity`
1324×	`add-cube-cbrt`
1304×	`add-cbrt-cube`
1288×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	173	25
2	1815	25

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))

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

Outputs

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

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

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

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1102×	`fma-def`
960×	`unswap-sqr`
754×	`associate-*r/`
670×	`+-commutative`
616×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1106
1	350	1082
2	1495	1052
3	5444	1052

Stop Event

1×	node limit

Counts

96 → 89

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (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)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.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 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 1 (log1p.f64 (sin.f64 y))) 1)
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(*.f64 1 (log1p.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(log.f64 (+.f64 (sin.f64 y) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (+.f64 (sin.f64 y) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (.f64 (+.f64 (sin.f64 y) 1) 1))))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))

Outputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(fma.f64 -1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y -1/2) y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (fma.f64 -1/2 (.f64 y y) y) (.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) y) (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/12 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 -1/12 (pow.f64 y 4) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/12 (pow.f64 y 4) y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 (pow.f64 y 3) -1/6 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))
(fma.f64 (pow.f64 y 3) -1/6 (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 (pow.f64 y 3) -1/6 (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)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 y))
(*.f64 (fma.f64 (pow.f64 y 3) -1/6 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))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 (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 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 (pow.f64 y 3) -1/6 y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(-.f64 (+.f64 1 (log1p.f64 (sin.f64 y))) 1)
(log1p.f64 (sin.f64 y))
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(*.f64 1 (log1p.f64 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(log1p.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(log1p.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(log1p.f64 (sin.f64 y))
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(log1p.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 (sin.f64 y) 1))
(log1p.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(log1p.f64 (sin.f64 y))
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (+.f64 (sin.f64 y) 1) 1))
(sin.f64 y)
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (.f64 (+.f64 (sin.f64 y) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) -1) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y)))))
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)

localize56.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`add-sqr-sqrt`
1672×	`*-un-lft-identity`
1558×	`add-cube-cbrt`
1542×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	152	13
2	2070	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(-.f64 x (*.f64 y z))

Outputs

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1036×	`associate-+l+`
816×	`fma-def`
802×	`associate-/l/`
678×	`associate-/r/`
554×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	1217
1	298	1167
2	1311	1167
3	4993	1167

Stop Event

1×	node limit

Counts

75 → 49

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
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x
(+.f64 (.f64 -1 (.f64 y z)) x)
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x
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x
(+.f64 (.f64 -1 (.f64 y z)) x)
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(.f64 -1 (.f64 y z))
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x
(+.f64 (.f64 -1 (.f64 y z)) x)
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(.f64 -1 (.f64 y z))
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(*.f64 z (neg.f64 y))
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(+.f64 (.f64 -1 (.f64 y z)) x)
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(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
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(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
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(-.f64 x (*.f64 y z))
(+.f64 x (.f64 (.f64 y (neg.f64 z)) 1))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 z) y (.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 y) z (.f64 y z)))
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(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
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(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 y (neg.f64 z)) x)
(-.f64 x (*.f64 y z))
(.f64 (-.f64 x (.f64 y z)) 1)
(-.f64 x (*.f64 y z))
(.f64 1 (-.f64 x (.f64 y z)))
(-.f64 x (*.f64 y z))
(.f64 (sqrt.f64 (-.f64 x (.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))
(-.f64 x (*.f64 y z))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (/.f64 1 (+.f64 x (.f64 y z))))
(-.f64 x (*.f64 y z))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 x (*.f64 y z))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(-.f64 x (*.f64 y z))
(/.f64 1 (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (pow.f64 (*.f64 y z) 2))))
(-.f64 x (*.f64 y z))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y z) (+.f64 x (.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (.f64 y z) (+.f64 x (.f64 y z)))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
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(-.f64 x (*.f64 y z))
(exp.f64 (.f64 (log.f64 (-.f64 x (.f64 y z))) 1))
(-.f64 x (*.f64 y z))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(fma.f64 1 x (*.f64 y (neg.f64 z)))
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localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.6b	(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
✓	9.9b	(*.f64 (pow.f64 y 2) x)

Compiler

Compiled 56 to 34 computations (39.3% saved)

series48.0ms (0.4%)

Counts

2 → 21

Calls

15 calls:

Time	Variable		Point	Expression
44.0ms	y	@	0	(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
0.0ms	z	@	0	(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
0.0ms	x	@	0	(*.f64 (pow.f64 y 2) x)
0.0ms	y	@	0	(*.f64 (pow.f64 y 2) x)
0.0ms	x	@	-inf	(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`associate-*r/`
1000×	`distribute-lft-in`
826×	`associate-*l/`
332×	`add-sqr-sqrt`
320×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	331	46
2	4355	46

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

Inputs
(*.f64 (pow.f64 y 2) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))

Outputs

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

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1 (fma.f64 (*.f64 y (*.f64 y x)) -1/2 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 y (*.f64 y x)) -1/2 x)) (sqrt.f64 (fma.f64 (*.f64 y (*.f64 y x)) -1/2 x)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 (*.f64 y (*.f64 y x)) -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 y (*.f64 y x)) -1/2 x)) 2) (cbrt.f64 (fma.f64 (*.f64 y (*.f64 y x)) -1/2 x)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (fma.f64 (*.f64 y (*.f64 y x)) -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) z (fma.f64 (*.f64 y (*.f64 y x)) -1/2 x))))))

simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1360×	`associate-+r+`
1268×	`associate-+l+`
808×	`+-commutative`
632×	`associate-r`
538×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	363	10527
1	1118	9979
2	6006	9979

Stop Event

1×	node limit

Counts

151 → 223

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(.f64 -1 (.f64 y z))
(.f64 -1 (.f64 y z))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(.f64 -1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 y x)))) 1)
(pow.f64 (.f64 y (.f64 y x)) 1)
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 y (.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y x)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 y x)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 y y) 3)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y x))))
(exp.f64 (log.f64 (.f64 y (.f64 y x))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y x))) 1))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y x))))
(-.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (*.f64 y z))
(-.f64 0 (-.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (+.f64 (*.f64 y z) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 y z))) (-.f64 1 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y y) (.f64 x -1/2)))) (-.f64 1 (+.f64 x (.f64 y z))))
(-.f64 (/.f64 1/4 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x -1/2)) x) (pow.f64 (.f64 y (.f64 y x)) 2))) (-.f64 (/.f64 x (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x -1/2)) x) x)) (*.f64 y z)))
(-.f64 (/.f64 1/4 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x -1/2)) x) (pow.f64 (.f64 y (.f64 y x)) 2))) (+.f64 (/.f64 x (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x -1/2)) x) x)) (*.f64 y z)))
(-.f64 (/.f64 (pow.f64 (.f64 y z) 2) (-.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (/.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (-.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(-.f64 (+.f64 (.f64 y z) (exp.f64 (log1p.f64 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))) 1)
(-.f64 (+.f64 (.f64 y z) (/.f64 1/4 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x -1/2)) x) (pow.f64 (.f64 y (.f64 y x)) 2)))) (/.f64 x (/.f64 (-.f64 (.f64 (.f64 y y) (*.f64 x -1/2)) x) x)))
(-.f64 (+.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 0) (*.f64 y z))
(-.f64 (+.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (exp.f64 (log1p.f64 (*.f64 y z)))) 1)
(-.f64 (+.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x (.f64 y z)) (exp.f64 (log1p.f64 (.f64 (.f64 y y) (.f64 x -1/2))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (*.f64 x -1/2))) 1) (exp.f64 (log1p.f64 x))) 1)
(.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) 1)
(.f64 1 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))
(.f64 (sqrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (sqrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(.f64 (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) 2) (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2)) (/.f64 1 (-.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))))
(.f64 (/.f64 1 (-.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))))) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2)) (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2))) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) 1) (/.f64 1 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2))) (-.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3))) (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2)) (-.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3))) (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3)) (-.f64 (.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 y z) 2)) (.f64 (.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))))) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 y z) 2) 3) (pow.f64 (.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) 3))) (+.f64 (.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))) (.f64 (pow.f64 (.f64 y z) 2) (.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2))) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (.f64 x x))) (+.f64 (.f64 (.f64 y y) (.f64 x -1/2)) (-.f64 (.f64 y z) x)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) 3))) (+.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (*.f64 x -1/2))) x))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (neg.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2)))) (neg.f64 (-.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (neg.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))))))
(/.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)) 1)
(/.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) (/.f64 (-.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) (-.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(/.f64 1 (/.f64 1 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2)) (-.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))) (/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))) (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2))) (/.f64 (-.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) (sqrt.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x) 3)))))
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(expm1.f64 (log1p.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(exp.f64 (log.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 -1 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))
(fma.f64 (.f64 y z) -1 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))
(fma.f64 1 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))
(fma.f64 1 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (*.f64 y z))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) (sqrt.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) 2) (cbrt.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))
(fma.f64 (neg.f64 y) z (fma.f64 (.f64 y (.f64 y x)) -1/2 x))

Outputs
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(-.f64 x (*.f64 y z))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 y (.f64 y (*.f64 x -1/2)))
(.f64 (.f64 x y) (*.f64 y -1/2))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 -1 (.f64 y z) (.f64 y (.f64 y (.f64 x -1/2))))
(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
(.f64 -1/2 (.f64 (pow.f64 y 2) x))
(.f64 y (.f64 y (*.f64 x -1/2)))
(.f64 (.f64 x y) (*.f64 y -1/2))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 -1 (.f64 y z) (.f64 y (.f64 y (.f64 x -1/2))))
(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
(+.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))
(.f64 -1 (.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(.f64 -1 (.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(.f64 -1 (.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(.f64 -1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x))
(neg.f64 (.f64 x (fma.f64 1/2 (.f64 y y) -1)))
(.f64 (fma.f64 1/2 (.f64 y y) -1) (neg.f64 x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(.f64 -1 (+.f64 (.f64 y z) (.f64 x (fma.f64 1/2 (.f64 y y) -1))))
(neg.f64 (fma.f64 y z (.f64 x (fma.f64 1/2 (.f64 y y) -1))))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(.f64 -1 (+.f64 (.f64 y z) (.f64 x (fma.f64 1/2 (.f64 y y) -1))))
(neg.f64 (fma.f64 y z (.f64 x (fma.f64 1/2 (.f64 y y) -1))))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(.f64 -1 (+.f64 (.f64 y z) (.f64 x (fma.f64 1/2 (.f64 y y) -1))))
(neg.f64 (fma.f64 y z (.f64 x (fma.f64 1/2 (.f64 y y) -1))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 y x)))) 1)
(.f64 x (.f64 y y))
(pow.f64 (.f64 y (.f64 y x)) 1)
(.f64 x (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 3)
(.f64 x (.f64 y y))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 3) 1/3)
(.f64 x (.f64 y y))
(sqrt.f64 (pow.f64 (.f64 y (.f64 y x)) 2))
(sqrt.f64 (pow.f64 (.f64 x (.f64 y y)) 2))
(fabs.f64 (.f64 x (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))
(.f64 x (.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y x)))))
(.f64 x (.f64 y y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 y x)) 3))
(.f64 x (.f64 y y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) (pow.f64 x 3)))
(.f64 x (.f64 y y))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 y y) 3)))
(.f64 x (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y x))))
(.f64 x (.f64 y y))
(exp.f64 (log.f64 (.f64 y (.f64 y x))))
(.f64 x (.f64 y y))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y x))) 1))
(.f64 x (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y x))))
(.f64 x (.f64 y y))
(-.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (*.f64 y z))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(-.f64 0 (-.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (+.f64 (*.f64 y z) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x))) (fma.f64 y z 1))
(-.f64 (expm1.f64 (log1p.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (.f64 y z))) (-.f64 1 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 y z))) 1) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x))
(+.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (expm1.f64 (log1p.f64 (*.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))) 1)
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 y z (.f64 y (.f64 y (*.f64 x -1/2)))))
(+.f64 (.f64 y (+.f64 z (.f64 (*.f64 x y) -1/2))) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y y) (.f64 x -1/2)))) (-.f64 1 (+.f64 x (.f64 y z))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 y (.f64 x -1/2))))) 1) (+.f64 x (.f64 y z)))
(+.f64 (fma.f64 y z x) (expm1.f64 (log1p.f64 (.f64 (.f64 x y) (*.f64 y -1/2)))))
(-.f64 (/.f64 1/4 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x -1/2)) x) (pow.f64 (.f64 y (.f64 y x)) 2))) (-.f64 (/.f64 x (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x -1/2)) x) x)) (*.f64 y z)))
(+.f64 (-.f64 (.f64 (/.f64 1/4 (fma.f64 (.f64 y y) (.f64 x -1/2) (neg.f64 x))) (pow.f64 (.f64 x (.f64 y y)) 2)) (.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 x -1/2) (neg.f64 x))) x)) (*.f64 y z))
(-.f64 (fma.f64 y z (.f64 (.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1/4 (-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) x)))) (/.f64 x (+.f64 (/.f64 (.f64 y (.f64 y -1/2)) 1) -1)))
(-.f64 (fma.f64 y z (.f64 (.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1/4 (-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) x)))) (/.f64 x (+.f64 -1 (/.f64 (.f64 y (.f64 y -1/2)) 1))))
(-.f64 (/.f64 1/4 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x -1/2)) x) (pow.f64 (.f64 y (.f64 y x)) 2))) (+.f64 (/.f64 x (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x -1/2)) x) x)) (*.f64 y z)))
(-.f64 (-.f64 (.f64 (/.f64 1/4 (fma.f64 (.f64 y y) (.f64 x -1/2) (neg.f64 x))) (pow.f64 (.f64 x (.f64 y y)) 2)) (.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 x -1/2) (neg.f64 x))) x)) (*.f64 y z))
(-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1/4 (-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) x))) (fma.f64 y z (/.f64 x (+.f64 (/.f64 (.f64 y (.f64 y -1/2)) 1) -1))))
(-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1/4 (-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) x))) (fma.f64 y z (/.f64 x (+.f64 -1 (/.f64 (.f64 y (.f64 y -1/2)) 1)))))
(-.f64 (/.f64 (pow.f64 (.f64 y z) 2) (-.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (/.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (-.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(-.f64 (+.f64 (.f64 y z) (exp.f64 (log1p.f64 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))) 1)
(+.f64 (fma.f64 y z (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x)))) -1)
(fma.f64 y z (expm1.f64 (log1p.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))))
(-.f64 (+.f64 (.f64 y z) (/.f64 1/4 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x -1/2)) x) (pow.f64 (.f64 y (.f64 y x)) 2)))) (/.f64 x (/.f64 (-.f64 (.f64 (.f64 y y) (*.f64 x -1/2)) x) x)))
(+.f64 (-.f64 (.f64 (/.f64 1/4 (fma.f64 (.f64 y y) (.f64 x -1/2) (neg.f64 x))) (pow.f64 (.f64 x (.f64 y y)) 2)) (.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 x -1/2) (neg.f64 x))) x)) (*.f64 y z))
(-.f64 (fma.f64 y z (.f64 (.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1/4 (-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) x)))) (/.f64 x (+.f64 (/.f64 (.f64 y (.f64 y -1/2)) 1) -1)))
(-.f64 (fma.f64 y z (.f64 (.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1/4 (-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) x)))) (/.f64 x (+.f64 -1 (/.f64 (.f64 y (.f64 y -1/2)) 1))))
(-.f64 (+.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 0) (*.f64 y z))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(-.f64 (+.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (exp.f64 (log1p.f64 (*.f64 y z)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 y z))) 1) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x))
(+.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (expm1.f64 (log1p.f64 (*.f64 y z))))
(-.f64 (+.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 y z (.f64 y (.f64 y (*.f64 x -1/2)))))
(+.f64 (.f64 y (+.f64 z (.f64 (*.f64 x y) -1/2))) (expm1.f64 (log1p.f64 x)))
(-.f64 (+.f64 (+.f64 x (.f64 y z)) (exp.f64 (log1p.f64 (.f64 (.f64 y y) (.f64 x -1/2))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 y (.f64 x -1/2))))) 1) (+.f64 x (.f64 y z)))
(+.f64 (fma.f64 y z x) (expm1.f64 (log1p.f64 (.f64 (.f64 x y) (*.f64 y -1/2)))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (*.f64 x -1/2))) 1) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 y z (.f64 y (.f64 y (*.f64 x -1/2)))))
(+.f64 (.f64 y (+.f64 z (.f64 (*.f64 x y) -1/2))) (expm1.f64 (log1p.f64 x)))
(.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) 1)
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(.f64 1 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(.f64 (sqrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (sqrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(.f64 (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))) 2))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) 2) (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2)) (/.f64 1 (-.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 2) (.f64 (.f64 y z) (fma.f64 y z (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) 3)) (fma.f64 (.f64 y z) (fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1))) (pow.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) 2)))
(.f64 (/.f64 1 (-.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x) 2)))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))))) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x) 3)))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 2) (.f64 (.f64 y z) (fma.f64 y z (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3)) 1) (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 2) (.f64 (.f64 y z) (fma.f64 y z (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) 3)) (fma.f64 (.f64 y z) (fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1))) (pow.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 2) (.f64 (.f64 y z) (fma.f64 y z (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) 3)) (fma.f64 (.f64 y z) (fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1))) (pow.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 2) (.f64 (.f64 y z) (fma.f64 y z (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) 3)) (fma.f64 (.f64 y z) (fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1))) (pow.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) 1) (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (sqrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))) (sqrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))) 2))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) 2)) (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2))) (/.f64 1 (-.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (pow.f64 (.f64 y z) 2)) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) 2) (.f64 (.f64 y z) (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 2) (.f64 (.f64 y z) (fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x)))) (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x (.f64 y y)) x) 2) (pow.f64 (.f64 y z) 2)) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (fma.f64 -1/2 (.f64 x (*.f64 y y)) x) 3))))
(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1))) (pow.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) 2)) (-.f64 (pow.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) 2) (pow.f64 (.f64 y z) 2))) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) 3)))
(pow.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)) 1)
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(pow.f64 (sqrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))) 2)
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))) 3)
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(pow.f64 (pow.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)) 3) 1/3)
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(sqrt.f64 (pow.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x)) 2))
(fabs.f64 (fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1))))
(log.f64 (exp.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(cbrt.f64 (pow.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)) 3))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(expm1.f64 (log1p.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(exp.f64 (log.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))) 1))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(log1p.f64 (expm1.f64 (+.f64 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(fma.f64 -1 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(fma.f64 (.f64 y z) -1 (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))
(fma.f64 1 (.f64 y z) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(fma.f64 1 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (*.f64 y z))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) (sqrt.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) (*.f64 y z))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) 2) (cbrt.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x)) (*.f64 y z))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) (fma.f64 (.f64 y (.f64 y x)) -1/2 x))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(fma.f64 (neg.f64 y) z (fma.f64 (.f64 y (.f64 y x)) -1/2 x))
(fma.f64 -1 (.f64 y z) (.f64 x (+.f64 1 (.f64 -1/2 (.f64 y y)))))
(-.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 y z))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	8.1b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series6.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	z	@	0	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms	y	@	0	(sqrt.f64 (*.f64 z (sin.f64 y)))
0.0ms	z	@	0	(sqrt.f64 (*.f64 z (sin.f64 y)))

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`add-sqr-sqrt`
1574×	`*-un-lft-identity`
1458×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1424×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	200	26
2	2036	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)

Outputs

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

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-+r+`
1180×	`distribute-lft-in`
1162×	`associate-+l+`
1148×	`distribute-rgt-in`
784×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1139
1	234	1007
2	884	879
3	2870	851

Stop Event

1×	node limit

Counts

61 → 62

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1)
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1)
(.f64 1 (sqrt.f64 (.f64 z (sin.f64 y))))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 z (sin.f64 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))
(pow.f64 (*.f64 z (sin.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(.f64 (.f64 z (sin.f64 y)) 1)
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(.f64 1 (.f64 z (sin.f64 y)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))

Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 1 (sqrt.f64 (.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 1 (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 z (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 73 to 15 computations (79.5% saved)

series19.0ms (0.2%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
2.0ms	y	@	inf	(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
2.0ms	x	@	0	(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
1.0ms	y	@	-inf	(cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))

rewrite198.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`distribute-rgt-in`
750×	`distribute-lft-in`
602×	`associate-*r/`
472×	`associate-*l/`
334×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	95
1	317	95
2	3752	95

Stop Event

1×	node limit

Counts

3 → 281

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/6) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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simplify226.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1480×	`associate-r`
1094×	`associate-+l+`
1044×	`associate-l`
784×	`associate-+r+`
766×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	856	25979
1	2542	25913

Stop Event

1×	node limit

Counts

357 → 470

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))))
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x
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (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)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))

Outputs
(.f64 (pow.f64 (.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 z (sin.f64 y))))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x)))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (.f64 1/3 (.f64 (.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 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (.f64 -1/9 (.f64 (.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 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.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 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) -1/9))))
(+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (cos.f64 y) x)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (fma.f64 -1/9 (.f64 (.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 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (/.f64 (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (.f64 (.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 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cos.f64 y) x))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (.f64 -1/3 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (.f64 -2/9 (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 x 3))))))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
(+.f64 (cbrt.f64 x) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y))))
(+.f64 (cbrt.f64 x) (.f64 -1/3 (.f64 z (.f64 y (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18))))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (*.f64 z y)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (.f64 y y) (.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)))) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 -1/3 (.f64 z (.f64 y (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (.f64 y z))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z)))))))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))))) (.f64 -1/3 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 3) (fma.f64 -1/6 z (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (.f64 z (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 z z) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))))))))))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (.f64 y y) (.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)))) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 -1/3 (+.f64 (.f64 z (.f64 y (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)))) (.f64 (fma.f64 -1/6 z (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 -2/3 (.f64 (+.f64 (.f64 x -1/2) (.f64 (.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 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 y 3)))))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))
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(fma.f64 -1/3 (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) 2/9)) (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 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 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))
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(fma.f64 2/3 (.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18)) (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (cos.f64 y) x))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))))
(fma.f64 2/3 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (cos.f64 y) x)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))))
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(fma.f64 2/3 (.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18)) (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (cos.f64 y) x))) (fma.f64 (.f64 (.f64 (.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 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) -1/9) (.f64 x x) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))))))
(fma.f64 2/3 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (cos.f64 y) x)))) (fma.f64 (.f64 (.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 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (.f64 x x) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (.f64 z (sin.f64 y))) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 1/3) (.f64 (cos.f64 y) x)))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)))) (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 z (sin.f64 y)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2)) (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 2/3 (.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (pow.f64 (.f64 z (sin.f64 y)) 1/18)) (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (cos.f64 y) x))) (fma.f64 (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) (/.f64 (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1))) (.f64 2/27 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 z (sin.f64 y))))) (pow.f64 x 3) (fma.f64 (.f64 (.f64 (.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 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) -1/9) (.f64 x x) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))))))
(fma.f64 2/3 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/18) (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (cos.f64 y) x)))) (fma.f64 (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) (/.f64 (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (.f64 -2/9 (cbrt.f64 (/.f64 (/.f64 1 (.f64 z z)) (pow.f64 (sin.f64 y) 2)))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))) (.f64 2/27 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 z (sin.f64 y))))) (pow.f64 x 3) (fma.f64 (.f64 (.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 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (.f64 x x) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))))))
(pow.f64 (pow.f64 x 2) 1/3)
(cbrt.f64 (*.f64 x x))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 x) 1/9) (.f64 y z))) (pow.f64 (pow.f64 x 2) 1/3))
(fma.f64 -2/3 (.f64 (.f64 z y) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) (cbrt.f64 (.f64 x x)))
(fma.f64 -2/3 (.f64 z (.f64 y (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))) (cbrt.f64 (.f64 x x)))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 x) 1/9) (.f64 y z))) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (.f64 (pow.f64 y 2) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2)))))))
(+.f64 (fma.f64 -2/3 (.f64 (.f64 z y) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) (cbrt.f64 (.f64 x x))) (.f64 (.f64 y y) (fma.f64 2/3 (.f64 (+.f64 (.f64 x -1/2) (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))) (cbrt.f64 (/.f64 1 x))) (.f64 1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)))))))
(+.f64 (fma.f64 -2/3 (.f64 z (.f64 y (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))) (cbrt.f64 (.f64 x x))) (.f64 y (.f64 y (fma.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)))) (cbrt.f64 (/.f64 1 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (.f64 (.f64 z z) 1/9))))))
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(+.f64 (fma.f64 -2/3 (.f64 z (.f64 y (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))) (cbrt.f64 (.f64 x x))) (fma.f64 (fma.f64 -2/3 (.f64 (fma.f64 -1/6 z (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 -2/3 (.f64 (+.f64 (.f64 x -1/2) (.f64 (.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))))))) (cbrt.f64 (/.f64 1 x))) (.f64 (.f64 z (+.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 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))))) (pow.f64 y 3) (.f64 y (.f64 y (fma.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)))) (cbrt.f64 (/.f64 1 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (.f64 (*.f64 z z) 1/9)))))))
(pow.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2))
(pow.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2))
(pow.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2))
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x
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
(pow.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2)
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3) 1/3)
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (.f64 (.f64 z (sin.f64 y)) 0))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z (sin.f64 y)) 0))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) 0))
(+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2) 0)
(+.f64 0 (pow.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))

eval475.0ms (3.8%)

Compiler: Compiled 36426 to 14070 computations (61.4% saved)

prune372.0ms (3%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1075	19	1094
Fresh	8	5	13
Picked	1	0	1
Done	3	2	5
Total	1087	26	1113

Error

0.0b

Counts

1113 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	27.6b	(fma.f64 (neg.f64 y) z (fma.f64 (.f64 y (.f64 y x)) -1/2 x))
	32.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2)
	1.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	49.3b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 x -1/2)) (-.f64 (.f64 y z) x)))
▶	0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	52.5b	(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
	30.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	7.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
▶	33.0b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	11.3b	(-.f64 x (*.f64 z (sin.f64 y)))
	11.3b	(-.f64 x (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
✓	26.1b	(-.f64 x (*.f64 y z))
▶	0.2b	(+.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
	27.6b	(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
	30.4b	(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/3) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	2.1b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	32.8b	(.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	25.5b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (.f64 (cos.f64 y) x)))
	62.5b	(.f64 (.f64 x y) (*.f64 y -1/2))
	37.6b	(*.f64 (neg.f64 z) (sin.f64 y))
▶	52.0b	(*.f64 (neg.f64 y) z)
▶	25.0b	(*.f64 (cos.f64 y) x)
	28.0b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2)) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	42.2b	(.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	36.0b	x

Compiler

Compiled 868 to 532 computations (38.7% saved)

localize56.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Compiler

Compiled 52 to 15 computations (71.2% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
1.0ms	x	@	inf	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
1.0ms	y	@	0	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
0.0ms	y	@	-inf	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
0.0ms	y	@	inf	(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))

rewrite113.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`associate-*r/`
1214×	`associate-*l/`
790×	`distribute-lft-in`
458×	`associate-/r*`
384×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	299	60
2	3655	60

Stop Event

1×	node limit

Counts

2 → 269

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))

Outputs

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

simplify219.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1244×	`fma-def`
824×	`associate-r`
762×	`+-commutative`
680×	`associate-l`
644×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	700	23537
1	2109	21233

Stop Event

1×	node limit

Counts

341 → 419

Calls

Call 1

Inputs
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) 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 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (.f64 z (sin.f64 y))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (/.f64 (.f64 y z) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (.f64 y z) (pow.f64 x 2)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x)) (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 x 2))) (.f64 1/6 (/.f64 z (pow.f64 x 2))))) (pow.f64 y 3))))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (.f64 z (sin.f64 y))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) x) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (.f64 z (sin.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) 1) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) 1)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) 1)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) 1) (.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) 1)))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 1 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 1 (.f64 (.f64 z (neg.f64 (sin.f64 y))) 1)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) 1))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) -1) (cbrt.f64 (neg.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (-.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (-.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 3) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 3))) (+.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)
(pow.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) -1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) -1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (.f64 x (cos.f64 y))) (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (.f64 z (sin.f64 y))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (.f64 z (sin.f64 y))) (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (.f64 x (cos.f64 y))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (pow.f64 (.f64 x (cos.f64 y)) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) 1)
(.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 1 (neg.f64 (/.f64 -1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -1/2) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2))
(.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -2)) (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(.f64 -1 (/.f64 -1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (/.f64 -1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1)
(.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) -1) (pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -1/2) 1) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -2)) 1) (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (neg.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (-.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3))) (+.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 x (cos.f64 y)) 3)) (+.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))))
(.f64 (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)))
(.f64 (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 3))) (+.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 (sin.f64 y)))))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2) (.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))))) (-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (neg.f64 (sin.f64 y))) 3))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 (sin.f64 y)))) (.f64 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 (sin.f64 y)))))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3) (pow.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) 3))) (+.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2) (-.f64 (.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -1/2) (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -1/2) (sqrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -2)) -1) (cbrt.f64 (/.f64 -1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -1)
(pow.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 1)
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))

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

localize6.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`add-sqr-sqrt`
1272×	`*-un-lft-identity`
1170×	`add-cube-cbrt`
1152×	`add-cbrt-cube`
1138×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	135	11
2	1583	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1180×	`fma-def`
920×	`log-prod`
848×	`distribute-lft-out`
772×	`*-commutative`
660×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	377
1	126	311
2	420	233
3	2043	227
4	5541	227

Stop Event

1×	node limit

Counts

15 → 26

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 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (*.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))
(+.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 (.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 (*.f64 y y) 1/24 -1/2))) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(*.f64 z (sin.f64 y))
	0.3b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
	8.1b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 34 to 12 computations (64.7% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 (cos.f64 y) x)
✓	52.2b	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))

Compiler

Compiled 71 to 16 computations (77.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`add-sqr-sqrt`
1698×	`*-un-lft-identity`
1564×	`add-cube-cbrt`
1542×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	198	17
2	2426	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))

Outputs

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

156×	`associate-r`
138×	`associate-l`
108×	`fma-def`
76×	`*-commutative`
60×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	886
1	255	886
2	1270	886

Stop Event

1×

unsound

Counts

46 → 34

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (+.f64 (.f64 -1 z) z) y)
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (.f64 (+.f64 (*.f64 -1 z) z) y))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (.f64 -1 z) z) y)))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 -1/5040 z) (.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (*.f64 -1 z) z) y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1)
(*.f64 (sin.f64 y) (+.f64 z z))
(.f64 (.f64 (sin.f64 y) (+.f64 z z)) 1)
(.f64 1 (.f64 (sin.f64 y) (+.f64 z z)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (+.f64 z z))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z))))

Outputs
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 z) z) y)
(.f64 y (.f64 0 z))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (.f64 (+.f64 (*.f64 -1 z) z) y))
(fma.f64 (pow.f64 y 3) (.f64 z 0) (.f64 y (*.f64 0 z)))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (.f64 -1 z) z) y)))
(fma.f64 (pow.f64 y 3) (.f64 z 0) (fma.f64 (.f64 z 0) (pow.f64 y 5) (.f64 y (.f64 0 z))))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 -1/5040 z) (.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (*.f64 -1 z) z) y))))
(fma.f64 (pow.f64 y 3) (.f64 z 0) (fma.f64 (.f64 z 0) (pow.f64 y 7) (fma.f64 (.f64 z 0) (pow.f64 y 5) (.f64 y (*.f64 0 z)))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
(+.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1)
(.f64 (.f64 0 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (+.f64 z z))
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (.f64 (sin.f64 y) (+.f64 z z)) 1)
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 1 (.f64 (sin.f64 y) (+.f64 z z)))
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2))
(.f64 (.f64 0 (sin.f64 y)) z)
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(.f64 (.f64 0 (sin.f64 y)) z)
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(.f64 (.f64 0 (sin.f64 y)) z)
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y))))
(.f64 (.f64 0 (sin.f64 y)) z)
(pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)
(.f64 (.f64 0 (sin.f64 y)) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2)
(.f64 (.f64 0 (sin.f64 y)) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 3)
(.f64 (.f64 0 (sin.f64 y)) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3) 1/3)
(.f64 (.f64 0 (sin.f64 y)) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2))
(.f64 (.f64 0 (sin.f64 y)) z)
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(.f64 (.f64 0 (sin.f64 y)) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))))
(.f64 (.f64 0 (sin.f64 y)) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3))
(.f64 (.f64 0 (sin.f64 y)) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(.f64 (.f64 0 (sin.f64 y)) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(.f64 (.f64 0 (sin.f64 y)) z)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (+.f64 z z))) 1))
(.f64 (.f64 0 (sin.f64 y)) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(.f64 (.f64 0 (sin.f64 y)) z)

eval313.0ms (2.5%)

Compiler: Compiled 21718 to 6611 computations (69.6% saved)

prune245.0ms (2%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	821	12	833
Fresh	10	9	19
Picked	1	0	1
Done	1	5	6
Total	833	26	859

Error

Counts

859 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	27.6b	(fma.f64 (neg.f64 y) z (fma.f64 (.f64 y (.f64 y x)) -1/2 x))
▶	44.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	49.3b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 x -1/2)) (-.f64 (.f64 y z) x)))
	1.4b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3))
	37.7b	(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
	25.1b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
▶	36.1b	(/.f64 1 (/.f64 1 x))
▶	39.1b	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
	36.4b	(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
▶	0.2b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
	52.5b	(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	33.0b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	37.1b	(-.f64 x (.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
▶	11.3b	(-.f64 x (*.f64 (sin.f64 y) z))
✓	26.1b	(-.f64 x (*.f64 y z))
	11.4b	(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
	27.6b	(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
	30.4b	(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/3) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	2.1b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	25.5b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (.f64 (cos.f64 y) x)))
	62.5b	(.f64 (.f64 x y) (*.f64 y -1/2))
	37.6b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	52.0b	(*.f64 (neg.f64 y) z)
✓	25.0b	(*.f64 (cos.f64 y) x)
	36.0b	x

Compiler

Compiled 724 to 469 computations (35.2% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (cos.f64 y))
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.1b	(/.f64 x (/.f64 1 (cos.f64 y)))
✓	0.3b	(/.f64 z (/.f64 1 (sin.f64 y)))

Compiler

Compiled 44 to 23 computations (47.7% saved)

series3.0ms (0%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(/.f64 1 (sin.f64 y))
0.0ms	y	@	inf	(/.f64 1 (cos.f64 y))
0.0ms	y	@	inf	(/.f64 1 (sin.f64 y))
0.0ms	y	@	-inf	(/.f64 1 (cos.f64 y))
0.0ms	y	@	0	(/.f64 1 (sin.f64 y))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`associate-*l/`
1592×	`associate-/r*`
1302×	`associate-/l*`
584×	`associate-/r/`
398×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	272	44
2	3629	44

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

Inputs
(/.f64 z (/.f64 1 (sin.f64 y)))
(/.f64 x (/.f64 1 (cos.f64 y)))
(/.f64 1 (sin.f64 y))
(/.f64 1 (cos.f64 y))

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1758×	`associate-/r*`
896×	`distribute-rgt-in`
890×	`distribute-lft-in`
620×	`associate-/r/`
554×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	3166
1	879	3076
2	3264	3046

Stop Event

1×	node limit

Counts

196 → 212

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.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 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
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 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(.f64 1 (.f64 z (sin.f64 y)))
(.f64 (.f64 z (sin.f64 y)) 1)
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 z (sqrt.f64 (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (sin.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 z -1) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (sqrt.f64 z) 1) (.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)) (sqrt.f64 z))
(.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (sin.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (.f64 (/.f64 (cbrt.f64 z) 1) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 (sin.f64 y) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (.f64 z (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) 1) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (sin.f64 y))) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(.f64 (/.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) -1)
(neg.f64 (*.f64 z (neg.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (neg.f64 (neg.f64 (cos.f64 y))))
(.f64 (.f64 x (cos.f64 y)) 1)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 x (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 -1 (.f64 x (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 y)))
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 x (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 x -1) (neg.f64 (cos.f64 y)))
(.f64 (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (cos.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) 1) (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cos.f64 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (cos.f64 y) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (.f64 x (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) 1) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cos.f64 y))) (cbrt.f64 x))
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (cos.f64 y))))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 x (cos.f64 y))) -1)
(neg.f64 (*.f64 x (neg.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 y)) -1))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (sin.f64 y) -1)
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 y)))) 1)
(*.f64 1 (/.f64 1 (cos.f64 y)))
(*.f64 (/.f64 1 (cos.f64 y)) 1)
(*.f64 (pow.f64 (cos.f64 y) -1/2) (pow.f64 (cos.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 -1 (/.f64 -1 (cos.f64 y)))
(*.f64 (/.f64 -1 (cos.f64 y)) -1)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) -1) (pow.f64 (sqrt.f64 (cos.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 y)) -1))
(pow.f64 (/.f64 1 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) 1/3)
(pow.f64 (cos.f64 y) -1)
(sqrt.f64 (pow.f64 (cos.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))

Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z y))
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 1/120 (.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 z y (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 z (+.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) 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 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y (*.f64 y 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)))
(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)))
(+.f64 x (.f64 x (+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (*.f64 y y))))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(fma.f64 y 1/6 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (/.f64 1 y) (fma.f64 (pow.f64 y 3) 7/360 (*.f64 y 1/6)))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 (pow.f64 y 3) 7/360))))
(+.f64 (fma.f64 (pow.f64 y 3) 7/360 (*.f64 y 1/6)) (fma.f64 (pow.f64 y 5) 31/15120 (/.f64 1 y)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/2))
(fma.f64 (*.f64 y y) 1/2 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 4) 5/24)))
(+.f64 1 (fma.f64 (.f64 y y) 1/2 (.f64 (pow.f64 y 4) 5/24)))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 y 6) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 4) 5/24))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 61/720 (fma.f64 (.f64 y y) 1/2 (.f64 (pow.f64 y 4) 5/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 1 (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (neg.f64 (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (sin.f64 y)))
(/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 z (cbrt.f64 (sin.f64 y))))
(/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(*.f64 (/.f64 z -1) (neg.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (sqrt.f64 z) 1) (.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)) (sqrt.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (sin.f64 y))))
(/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (.f64 (/.f64 (cbrt.f64 z) 1) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 (sin.f64 y) -1/2)))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (.f64 z (sin.f64 y))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) 1) (cbrt.f64 (sin.f64 y)))
(/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (sin.f64 y))) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (/.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 z (/.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 -1) z)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 z (.f64 -1 (cbrt.f64 (pow.f64 (sin.f64 y) -2)))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 z (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 z (sin.f64 y))
(pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) -1)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 z (neg.f64 (sin.f64 y))))
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(fabs.f64 (*.f64 z (sin.f64 y)))
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(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
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(*.f64 z (sin.f64 y))
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(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) x)
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (neg.f64 (neg.f64 (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 x (sqrt.f64 (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(.f64 -1 (.f64 x (neg.f64 (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 x (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 x (/.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (cos.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 x (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 x (/.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 (/.f64 x -1) (neg.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(.f64 (.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)) (sqrt.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (cos.f64 y))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 x (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 x (/.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) 1) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cos.f64 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (cos.f64 y) -1/2)))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) 1) (cbrt.f64 (cos.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (.f64 x (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 x (/.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cos.f64 y))) (cbrt.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))) (cbrt.f64 x))
(*.f64 (cos.f64 y) x)
(.f64 (/.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 x (/.f64 (sqrt.f64 -1) (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (neg.f64 (cos.f64 y))))
(.f64 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 y))) x) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2))))
(*.f64 (/.f64 x (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)))) (cbrt.f64 (neg.f64 (cos.f64 y))))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) x)
(pow.f64 (/.f64 1 (*.f64 x (cos.f64 y))) -1)
(*.f64 (cos.f64 y) x)
(neg.f64 (*.f64 x (neg.f64 (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(fabs.f64 (*.f64 (cos.f64 y) x))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(/.f64 1 (sin.f64 y))
(*.f64 1 (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(/.f64 1 (sin.f64 y))
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))
(pow.f64 (sqrt.f64 (sin.f64 y)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 y)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (cbrt.f64 (sin.f64 y)))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))
(pow.f64 (sin.f64 y) -1)
(/.f64 1 (sin.f64 y))
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(/.f64 1 (sin.f64 y))
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(/.f64 1 (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 y)))) 1)
(/.f64 1 (cos.f64 y))
(*.f64 1 (/.f64 1 (cos.f64 y)))
(/.f64 1 (cos.f64 y))
(*.f64 (/.f64 1 (cos.f64 y)) 1)
(/.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) -1/2) (pow.f64 (cos.f64 y) -1/2))
(/.f64 1 (cos.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (cos.f64 y)))
(*.f64 -1 (/.f64 -1 (cos.f64 y)))
(/.f64 1 (cos.f64 y))
(*.f64 (/.f64 -1 (cos.f64 y)) -1)
(/.f64 1 (cos.f64 y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) -1) (pow.f64 (sqrt.f64 (cos.f64 y)) -1))
(pow.f64 (sqrt.f64 (cos.f64 y)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 y)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) -2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (/.f64 1 (cos.f64 y)) 1)
(/.f64 1 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) -1/2) 2)
(/.f64 1 (cos.f64 y))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) 3)
(/.f64 1 (cos.f64 y))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) -1)
(/.f64 1 (cos.f64 y))
(sqrt.f64 (pow.f64 (cos.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 y))))
(/.f64 1 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 y)))))
(/.f64 1 (cos.f64 y))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))
(/.f64 1 (cos.f64 y))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(/.f64 1 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) -1))
(/.f64 1 (cos.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) 1))
(/.f64 1 (cos.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))
(/.f64 1 (cos.f64 y))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 1 (/.f64 1 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 x))

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-r`
908×	`add-sqr-sqrt`
892×	`*-un-lft-identity`
842×	`pow1`
832×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	125	1
2	1227	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 x))

Outputs

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

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*r/`
1178×	`associate-/r*`
952×	`associate-*l/`
916×	`associate-/l*`
850×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	273
1	241	231
2	805	223
3	3088	223

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 -1 (neg.f64 x))
(*.f64 (neg.f64 x) -1)
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(.f64 (.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(.f64 (.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(.f64 (.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (neg.f64 x) -1)
x
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
x
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
x
(.f64 (.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
x
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
x
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(.f64 (cbrt.f64 x) (.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
(.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
x
(.f64 (.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
x
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
x
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
x
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (cbrt.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(.f64 (.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
x
(.f64 (.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
x
(.f64 (.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
x
(.f64 (.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
x
(pow.f64 x 1)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z)))
✓	0.6b	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
✓	5.4b	(/.f64 y (/.f64 (*.f64 x x) z))
✓	7.4b	(/.f64 (*.f64 x x) z)

Compiler

Compiled 49 to 17 computations (65.3% saved)

series9.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Expression
1.0ms	y	@	(/.f64 y (/.f64 (*.f64 x x) z))
0.0ms	z	@	(/.f64 (*.f64 x x) z)
0.0ms	x	@	(/.f64 (*.f64 x x) z)
0.0ms	z	@	(/.f64 y (/.f64 (*.f64 x x) z))
0.0ms	x	@	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))

rewrite124.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`associate-/r/`
712×	`associate-/l/`
666×	`distribute-rgt-in`
628×	`distribute-lft-in`
284×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	100
1	271	92
2	4120	92

Stop Event

1×	node limit

Counts

4 → 338

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) z)
(/.f64 y (/.f64 (*.f64 x x) z))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z)))

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

simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1270×	`*-commutative`
1194×	`associate-l`
984×	`associate-/r*`
958×	`associate-/l*`
932×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	856	21506
1	2673	20756

Stop Event

1×	node limit

Counts

470 → 553

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (pow.f64 x 2) z)
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (*.f64 y z))
(+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 5) (.f64 (pow.f64 y 4) (pow.f64 z 4)))) (+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 2) (pow.f64 z 2)))))))
x
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(log.f64 (exp.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z (pow.f64 x -2)) (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(fma.f64 1 (.f64 y (.f64 z (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (.f64 y (.f64 z (pow.f64 x -2))))
(fma.f64 (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 z)) (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 z)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (.f64 y (.f64 z (pow.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 z (pow.f64 x -2)))) 2) (cbrt.f64 (.f64 y (.f64 z (pow.f64 x -2)))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (.f64 y (.f64 z (pow.f64 x -2))))
(fma.f64 (*.f64 y (pow.f64 x -2)) z (/.f64 1 x))

Outputs
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (pow.f64 x 2) z)
(*.f64 x (/.f64 x z))
(/.f64 x (/.f64 z x))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (*.f64 y z) (pow.f64 x 2))
(/.f64 y (*.f64 x (/.f64 x z)))
(.f64 z (/.f64 y (.f64 x x)))
(/.f64 (pow.f64 x 2) (*.f64 y z))
(/.f64 (.f64 x x) (.f64 z y))
(/.f64 (/.f64 x (/.f64 z x)) y)
(+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(+.f64 (/.f64 (.f64 x x) (.f64 z y)) (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) (*.f64 z z)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (*.f64 y y))))) (/.f64 (/.f64 x (/.f64 z x)) y))
(+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(+.f64 (/.f64 (.f64 x x) (.f64 z y)) (+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) (.f64 z z)))) (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (.f64 y y))))) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 (/.f64 x (/.f64 z x)) y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 5) (.f64 (pow.f64 y 4) (pow.f64 z 4)))) (+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 2) (pow.f64 z 2)))))))
(fma.f64 -1 (/.f64 (pow.f64 x 5) (.f64 (pow.f64 y 4) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 x x) (.f64 z y)) (+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) (.f64 z z)))) (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3))))))
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (pow.f64 z 4)) (+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (.f64 y y))))) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 (/.f64 x (/.f64 z x)) y))))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x))
(fma.f64 -1 (.f64 z y) (+.f64 x (/.f64 (.f64 (.f64 y y) (.f64 z z)) x)))
(+.f64 (fma.f64 -1 (.f64 z y) x) (.f64 (/.f64 (.f64 y y) x) (.f64 z z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x)))
(fma.f64 -1 (.f64 z y) (fma.f64 -1 (/.f64 (pow.f64 y 3) (/.f64 (.f64 x x) (pow.f64 z 3))) (+.f64 x (/.f64 (.f64 (.f64 y y) (*.f64 z z)) x))))
(fma.f64 -1 (.f64 z y) (fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3)) (+.f64 x (.f64 (/.f64 (.f64 y y) x) (.f64 z z)))))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x))
(fma.f64 -1 (.f64 z y) (+.f64 x (/.f64 (.f64 (.f64 y y) (.f64 z z)) x)))
(+.f64 (fma.f64 -1 (.f64 z y) x) (.f64 (/.f64 (.f64 y y) x) (.f64 z z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x)))
(fma.f64 -1 (.f64 z y) (fma.f64 -1 (/.f64 (pow.f64 y 3) (/.f64 (.f64 x x) (pow.f64 z 3))) (+.f64 x (/.f64 (.f64 (.f64 y y) (*.f64 z z)) x))))
(fma.f64 -1 (.f64 z y) (fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3)) (+.f64 x (.f64 (/.f64 (.f64 y y) x) (.f64 z z)))))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x))
(fma.f64 -1 (.f64 z y) (+.f64 x (/.f64 (.f64 (.f64 y y) (.f64 z z)) x)))
(+.f64 (fma.f64 -1 (.f64 z y) x) (.f64 (/.f64 (.f64 y y) x) (.f64 z z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x)))
(fma.f64 -1 (.f64 z y) (fma.f64 -1 (/.f64 (pow.f64 y 3) (/.f64 (.f64 x x) (pow.f64 z 3))) (+.f64 x (/.f64 (.f64 (.f64 y y) (*.f64 z z)) x))))
(fma.f64 -1 (.f64 z y) (fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3)) (+.f64 x (.f64 (/.f64 (.f64 y y) x) (.f64 z z)))))
(/.f64 (pow.f64 x 2) (*.f64 y z))
(/.f64 (.f64 x x) (.f64 z y))
(/.f64 (/.f64 x (/.f64 z x)) y)
(+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(+.f64 (/.f64 (.f64 x x) (.f64 z y)) (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) (*.f64 z z)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (*.f64 y y))))) (/.f64 (/.f64 x (/.f64 z x)) y))
(+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(+.f64 (/.f64 (.f64 x x) (.f64 z y)) (+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) (.f64 z z)))) (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (.f64 y y))))) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 (/.f64 x (/.f64 z x)) y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 5) (.f64 (pow.f64 y 4) (pow.f64 z 4)))) (+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 2) (pow.f64 z 2)))))))
(fma.f64 -1 (/.f64 (pow.f64 x 5) (.f64 (pow.f64 y 4) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 x x) (.f64 z y)) (+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) (.f64 z z)))) (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3))))))
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (pow.f64 z 4)) (+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (.f64 y y))))) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 (/.f64 x (/.f64 z x)) y))))
(/.f64 (pow.f64 x 2) (*.f64 y z))
(/.f64 (.f64 x x) (.f64 z y))
(/.f64 (/.f64 x (/.f64 z x)) y)
(+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(+.f64 (/.f64 (.f64 x x) (.f64 z y)) (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) (*.f64 z z)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (*.f64 y y))))) (/.f64 (/.f64 x (/.f64 z x)) y))
(+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(+.f64 (/.f64 (.f64 x x) (.f64 z y)) (+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) (.f64 z z)))) (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (.f64 y y))))) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 (/.f64 x (/.f64 z x)) y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 5) (.f64 (pow.f64 y 4) (pow.f64 z 4)))) (+.f64 (/.f64 (pow.f64 x 2) (.f64 y z)) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 2) (pow.f64 z 2)))))))
(fma.f64 -1 (/.f64 (pow.f64 x 5) (.f64 (pow.f64 y 4) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 x x) (.f64 z y)) (+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) (.f64 z z)))) (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3))))))
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (pow.f64 z 4)) (+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (.f64 z (.f64 z (.f64 y y))))) (+.f64 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 (/.f64 x (/.f64 z x)) y))))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x))
(fma.f64 -1 (.f64 z y) (+.f64 x (/.f64 (.f64 (.f64 y y) (.f64 z z)) x)))
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(/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 6)) (.f64 (+.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 2) (-.f64 (pow.f64 x -2) (.f64 (.f64 z y) (pow.f64 x -3)))) (-.f64 (pow.f64 x -3) (pow.f64 (.f64 z (*.f64 y (pow.f64 x -2))) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 6)) (-.f64 (pow.f64 x -3) (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 3))) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 2) (.f64 y (.f64 z (pow.f64 x -3))))))
(/.f64 (-.f64 (.f64 (pow.f64 x -2) (pow.f64 x -2)) (.f64 (pow.f64 (.f64 y (.f64 z (pow.f64 x -2))) 2) (pow.f64 (.f64 y (.f64 z (pow.f64 x -2))) 2))) (.f64 (-.f64 (/.f64 1 x) (.f64 y (.f64 z (pow.f64 x -2)))) (+.f64 (pow.f64 (.f64 y (*.f64 z (pow.f64 x -2))) 2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -4) (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 4)) (.f64 (-.f64 (/.f64 1 x) (.f64 z (.f64 y (pow.f64 x -2)))) (+.f64 (pow.f64 x -2) (pow.f64 (.f64 z (*.f64 y (pow.f64 x -2))) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x z)) 3) (pow.f64 (.f64 x y) 3)) (.f64 (/.f64 (pow.f64 x 3) z) (+.f64 (/.f64 (pow.f64 x 4) (.f64 z z)) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x (/.f64 x z)) (.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x z)) 3) (pow.f64 (.f64 x y) 3)) (.f64 (/.f64 (pow.f64 x 3) z) (+.f64 (/.f64 (pow.f64 x 4) (.f64 z z)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x (/.f64 x z)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 z x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 (pow.f64 x 3) z)) (+.f64 (/.f64 (pow.f64 x 4) (.f64 z z)) (.f64 (.f64 x y) (*.f64 x (-.f64 y (/.f64 x z))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (.f64 y (.f64 z (pow.f64 x -2))) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 y (.f64 z (pow.f64 x -2))) 2) (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -3) (.f64 y z)))) (-.f64 (+.f64 (.f64 (pow.f64 x -3) (pow.f64 x -3)) (.f64 (pow.f64 (.f64 y (.f64 z (pow.f64 x -2))) 3) (pow.f64 (.f64 y (.f64 z (pow.f64 x -2))) 3))) (.f64 (pow.f64 x -3) (pow.f64 (.f64 y (.f64 z (pow.f64 x -2))) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 2) (-.f64 (pow.f64 x -2) (.f64 (.f64 z y) (pow.f64 x -3)))) (+.f64 (pow.f64 x -6) (-.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 6) (.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 3) (pow.f64 x -3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 3) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 2) (.f64 y (.f64 z (pow.f64 x -3)))))) (+.f64 (pow.f64 x -6) (-.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 6) (.f64 (pow.f64 (.f64 z (*.f64 y (pow.f64 x -2))) 3) (pow.f64 x -3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (.f64 y (.f64 z (pow.f64 x -2))) 2) 3)) (.f64 (-.f64 (/.f64 1 x) (.f64 y (.f64 z (pow.f64 x -2)))) (+.f64 (.f64 (pow.f64 x -2) (pow.f64 x -2)) (+.f64 (.f64 (pow.f64 (.f64 y (.f64 z (pow.f64 x -2))) 2) (pow.f64 (.f64 y (.f64 z (pow.f64 x -2))) 2)) (.f64 (pow.f64 x -2) (pow.f64 (.f64 y (.f64 z (pow.f64 x -2))) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 2) 3)) (.f64 (-.f64 (/.f64 1 x) (.f64 z (.f64 y (pow.f64 x -2)))) (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 4) (.f64 (pow.f64 x -2) (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 6)) (+.f64 (pow.f64 x -4) (.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 2) (+.f64 (pow.f64 x -2) (pow.f64 (.f64 z (.f64 y (pow.f64 x -2))) 2))))) (-.f64 (/.f64 1 x) (.f64 z (*.f64 y (pow.f64 x -2)))))
(/.f64 (+.f64 (.f64 y (neg.f64 x)) (.f64 (.f64 x (/.f64 x z)) -1)) (.f64 (*.f64 x (/.f64 x z)) (neg.f64 x)))
(.f64 (neg.f64 z) (/.f64 (.f64 x (+.f64 (/.f64 x z) y)) (.f64 x (.f64 x (neg.f64 x)))))
(.f64 (/.f64 (.f64 (neg.f64 x) (+.f64 y (/.f64 x z))) (neg.f64 (pow.f64 x 3))) z)
(/.f64 (+.f64 (.f64 y (neg.f64 x)) (.f64 (.f64 x (/.f64 x z)) -1)) (.f64 1 (.f64 (.f64 x (/.f64 x z)) (neg.f64 x))))
(.f64 (neg.f64 z) (/.f64 (.f64 x (+.f64 (/.f64 x z) y)) (.f64 x (.f64 x (neg.f64 x)))))
(.f64 (/.f64 (.f64 (neg.f64 x) (+.f64 y (/.f64 x z))) (neg.f64 (pow.f64 x 3))) z)
(/.f64 (+.f64 x (.f64 (/.f64 x (.f64 y (/.f64 z x))) 1)) (.f64 (/.f64 x (.f64 y (/.f64 z x))) x))
(/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 (+.f64 x (/.f64 (/.f64 x (/.f64 z x)) y)) (/.f64 (/.f64 (pow.f64 x 3) z) y))
(/.f64 (+.f64 x (.f64 (/.f64 x (.f64 y (/.f64 z x))) 1)) (.f64 1 (.f64 (/.f64 x (*.f64 y (/.f64 z x))) x)))
(/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 (+.f64 x (/.f64 (/.f64 x (/.f64 z x)) y)) (/.f64 (/.f64 (pow.f64 x 3) z) y))
(/.f64 (+.f64 (neg.f64 x) (.f64 (/.f64 x (.f64 y (/.f64 z x))) -1)) (.f64 (/.f64 x (.f64 y (/.f64 z x))) (neg.f64 x)))
(/.f64 (fma.f64 -1 (/.f64 x (.f64 y (/.f64 z x))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 (*.f64 -1 (+.f64 x (/.f64 (/.f64 x (/.f64 z x)) y))) (/.f64 (/.f64 (neg.f64 (pow.f64 x 3)) z) y))
(/.f64 (+.f64 (neg.f64 x) (.f64 (/.f64 x (.f64 y (/.f64 z x))) -1)) (.f64 1 (.f64 (/.f64 x (*.f64 y (/.f64 z x))) (neg.f64 x))))
(/.f64 (fma.f64 -1 (/.f64 x (.f64 y (/.f64 z x))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 (*.f64 -1 (+.f64 x (/.f64 (/.f64 x (/.f64 z x)) y))) (/.f64 (/.f64 (neg.f64 (pow.f64 x 3)) z) y))
(/.f64 (+.f64 (.f64 (neg.f64 y) x) (.f64 (/.f64 (neg.f64 x) (/.f64 z x)) 1)) (*.f64 (/.f64 (neg.f64 x) (/.f64 z x)) x))
(.f64 (neg.f64 z) (/.f64 (.f64 x (+.f64 (/.f64 x z) y)) (.f64 x (.f64 x (neg.f64 x)))))
(.f64 (/.f64 (.f64 (neg.f64 x) (+.f64 y (/.f64 x z))) (neg.f64 (pow.f64 x 3))) z)
(/.f64 (+.f64 (.f64 (neg.f64 y) x) (.f64 (/.f64 (neg.f64 x) (/.f64 z x)) 1)) (.f64 1 (.f64 (/.f64 (neg.f64 x) (/.f64 z x)) x)))
(.f64 (neg.f64 z) (/.f64 (.f64 x (+.f64 (/.f64 x z) y)) (.f64 x (.f64 x (neg.f64 x)))))
(.f64 (/.f64 (.f64 (neg.f64 x) (+.f64 y (/.f64 x z))) (neg.f64 (pow.f64 x 3))) z)
(/.f64 (+.f64 (.f64 (neg.f64 y) (neg.f64 x)) (.f64 (/.f64 (neg.f64 x) (/.f64 z x)) -1)) (*.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 x) (neg.f64 (neg.f64 (/.f64 x (/.f64 z x))))) (*.f64 (neg.f64 x) (neg.f64 (/.f64 x (/.f64 z x)))))
(/.f64 (fma.f64 x (/.f64 x z) (.f64 y (.f64 x 1))) (/.f64 (pow.f64 x 3) z))
(/.f64 (+.f64 (.f64 (neg.f64 y) (neg.f64 x)) (.f64 (/.f64 (neg.f64 x) (/.f64 z x)) -1)) (.f64 1 (.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (neg.f64 x))))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 x) (neg.f64 (neg.f64 (/.f64 x (/.f64 z x))))) (*.f64 (neg.f64 x) (neg.f64 (/.f64 x (/.f64 z x)))))
(/.f64 (fma.f64 x (/.f64 x z) (.f64 y (.f64 x 1))) (/.f64 (pow.f64 x 3) z))
(/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 (+.f64 x (/.f64 (/.f64 x (/.f64 z x)) y)) (/.f64 (/.f64 (pow.f64 x 3) z) y))
(/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 1 (.f64 x (/.f64 x (.f64 y (/.f64 z x))))))
(/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 (+.f64 x (/.f64 (/.f64 x (/.f64 z x)) y)) (/.f64 (/.f64 (pow.f64 x 3) z) y))
(/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 x (neg.f64 y))) (.f64 x (/.f64 (neg.f64 x) (/.f64 z x))))
(.f64 (neg.f64 z) (/.f64 (.f64 x (+.f64 (/.f64 x z) y)) (.f64 x (.f64 x (neg.f64 x)))))
(.f64 (/.f64 (.f64 (neg.f64 x) (+.f64 y (/.f64 x z))) (neg.f64 (pow.f64 x 3))) z)
(/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 x (neg.f64 y))) (.f64 1 (*.f64 x (/.f64 (neg.f64 x) (/.f64 z x)))))
(.f64 (neg.f64 z) (/.f64 (.f64 x (+.f64 (/.f64 x z) y)) (.f64 x (.f64 x (neg.f64 x)))))
(.f64 (/.f64 (.f64 (neg.f64 x) (+.f64 y (/.f64 x z))) (neg.f64 (pow.f64 x 3))) z)
(/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 (neg.f64 x) y)) (.f64 (neg.f64 x) (*.f64 x (/.f64 x z))))
(.f64 (neg.f64 z) (/.f64 (.f64 x (+.f64 (/.f64 x z) y)) (.f64 x (.f64 x (neg.f64 x)))))
(.f64 (/.f64 (.f64 (neg.f64 x) (+.f64 y (/.f64 x z))) (neg.f64 (pow.f64 x 3))) z)
(/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 (neg.f64 x) y)) (.f64 1 (.f64 (neg.f64 x) (.f64 x (/.f64 x z)))))
(.f64 (neg.f64 z) (/.f64 (.f64 x (+.f64 (/.f64 x z) y)) (.f64 x (.f64 x (neg.f64 x)))))
(.f64 (/.f64 (.f64 (neg.f64 x) (+.f64 y (/.f64 x z))) (neg.f64 (pow.f64 x 3))) z)
(/.f64 (+.f64 (.f64 -1 (/.f64 x (.f64 y (/.f64 z x)))) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 (fma.f64 -1 (/.f64 x (.f64 y (/.f64 z x))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 (*.f64 -1 (+.f64 x (/.f64 (/.f64 x (/.f64 z x)) y))) (/.f64 (/.f64 (neg.f64 (pow.f64 x 3)) z) y))
(/.f64 (+.f64 (.f64 -1 (/.f64 x (.f64 y (/.f64 z x)))) (.f64 (neg.f64 x) 1)) (.f64 1 (.f64 (neg.f64 x) (/.f64 x (.f64 y (/.f64 z x))))))
(/.f64 (fma.f64 -1 (/.f64 x (.f64 y (/.f64 z x))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 (*.f64 -1 (+.f64 x (/.f64 (/.f64 x (/.f64 z x)) y))) (/.f64 (/.f64 (neg.f64 (pow.f64 x 3)) z) y))
(/.f64 (+.f64 (.f64 x (/.f64 x z)) (.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (/.f64 z x))))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 x) (neg.f64 (neg.f64 (/.f64 x (/.f64 z x))))) (*.f64 (neg.f64 x) (neg.f64 (/.f64 x (/.f64 z x)))))
(/.f64 (fma.f64 x (/.f64 x z) (.f64 y (.f64 x 1))) (/.f64 (pow.f64 x 3) z))
(/.f64 (+.f64 (.f64 x (/.f64 x z)) (.f64 (neg.f64 x) (neg.f64 y))) (.f64 1 (.f64 (neg.f64 x) (/.f64 (neg.f64 x) (/.f64 z x)))))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 x) (neg.f64 (neg.f64 (/.f64 x (/.f64 z x))))) (*.f64 (neg.f64 x) (neg.f64 (/.f64 x (/.f64 z x)))))
(/.f64 (fma.f64 x (/.f64 x z) (.f64 y (.f64 x 1))) (/.f64 (pow.f64 x 3) z))
(pow.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x)) 1)
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))) 2)
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))) 3)
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x)) 3) 1/3)
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x)))))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x)) 3))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z (pow.f64 x -2)) (/.f64 1 x))) 1))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(fma.f64 1 (.f64 y (.f64 z (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (.f64 y (.f64 z (pow.f64 x -2))))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(fma.f64 (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 z)) (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 z)) (/.f64 1 x))
(+.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 y) x)) 2) (/.f64 1 x))
(+.f64 (/.f64 1 x) (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 y) x)) 2))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (.f64 y (.f64 z (pow.f64 x -2))))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (.f64 z (.f64 y (pow.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 z (pow.f64 x -2)))) 2) (cbrt.f64 (.f64 y (.f64 z (pow.f64 x -2)))) (/.f64 1 x))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (.f64 y (.f64 z (pow.f64 x -2))))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (.f64 z (.f64 y (pow.f64 x -2))))
(fma.f64 (*.f64 y (pow.f64 x -2)) z (/.f64 1 x))
(fma.f64 y (*.f64 z (pow.f64 x -2)) (/.f64 1 x))

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`*-commutative`
748×	`unswap-sqr`
548×	`swap-sqr`
414×	`distribute-lft-in`
408×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	189	28
2	2491	28

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) z)
(-.f64 x (*.f64 (sin.f64 y) z))

Outputs

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

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1518×	`associate-+l+`
1412×	`associate-+r+`
1000×	`fma-def`
868×	`+-commutative`
526×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	10298
1	1286	9254
2	6322	9254

Stop Event

1×	node limit

Counts

222 → 249

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 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) z))) (exp.f64 (log1p.f64 (.f64 (sin.f64 y) z)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) z))) 1))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 x (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (sin.f64 y) z))))
(+.f64 x (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 (sin.f64 y) z))))
(+.f64 x (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z))))
(+.f64 x (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 (.f64 (sin.f64 y) z)) (.f64 (sin.f64 y) z))))
(+.f64 x (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (sin.f64 y) z)))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 (sin.f64 y) z)))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 (.f64 (sin.f64 y) z)) (.f64 (sin.f64 y) z)))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (.f64 (sin.f64 y) z)))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 (.f64 (sin.f64 y) z)) (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 (.f64 (sin.f64 y) z)) (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (sin.f64 y) z)) (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 (sin.f64 y) z)) (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (.f64 (sin.f64 y) z))))
(+.f64 (-.f64 x (.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (.f64 (sin.f64 y) z)) (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z))))
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(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sin.f64 y) z) 2))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 (sin.f64 y) z))) 2)) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 (sin.f64 y) z) 4)) (/.f64 1 (+.f64 (.f64 (sin.f64 y) z) x))) (+.f64 (.f64 x x) (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) 3)) (/.f64 1 (+.f64 (.f64 (sin.f64 y) z) x))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 4) (pow.f64 (.f64 (sin.f64 y) (*.f64 z x)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 (sin.f64 y) z) 6)) (/.f64 1 (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (sin.f64 y) z) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x))))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (.f64 (pow.f64 x 3) (pow.f64 (.f64 (sin.f64 y) z) 3)))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sin.f64 y) z) 2)) 1) (+.f64 (*.f64 (sin.f64 y) z) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sin.f64 y) z) 2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 y) z) x))) (sqrt.f64 (+.f64 (.f64 (sin.f64 y) z) x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sin.f64 y) z) 2)) (.f64 (cbrt.f64 (+.f64 (.f64 (sin.f64 y) z) x)) (cbrt.f64 (+.f64 (.f64 (sin.f64 y) z) x)))) (cbrt.f64 (+.f64 (.f64 (sin.f64 y) z) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) 1) (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (sqrt.f64 (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x))))) (sqrt.f64 (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x)))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x)))))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (.f64 x x)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 (sin.f64 y) z)) 2) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (sin.f64 y) z)))) (-.f64 (-.f64 x (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 (sin.f64 y) z)) 2) (.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 (sin.f64 y) z)))) (-.f64 (-.f64 x (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 (sin.f64 y) z)) 2) (.f64 (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (.f64 (sin.f64 y) z)) (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (.f64 (sin.f64 y) z)))) (-.f64 (-.f64 x (.f64 (sin.f64 y) z)) (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 (sin.f64 y) z)) 2) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 (.f64 (sin.f64 y) z)) (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 (.f64 (sin.f64 y) z)) (.f64 (sin.f64 y) z)))) (-.f64 (-.f64 x (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 y) z))) (sqrt.f64 (.f64 (sin.f64 y) z)) (.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 (sin.f64 y) z)) 2) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (.f64 (sin.f64 y) z)))) (-.f64 (-.f64 x (.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) 2) (.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (-.f64 x (.f64 (sin.f64 y) z)))) (exp.f64 (log1p.f64 (-.f64 x (.f64 (sin.f64 y) z))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 x (.f64 (sin.f64 y) z)))) 1))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 x x) (+.f64 (.f64 (sin.f64 y) z) x))) (.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (+.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (+.f64 (.f64 (sin.f64 y) z) x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (+.f64 (.f64 (sin.f64 y) z) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x)))) (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x))))) (.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x)))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x)))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) x))))))
(pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (sin.f64 y) z))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (sin.f64 y) z))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sin.f64 y) z) 2)) (neg.f64 (+.f64 (*.f64 (sin.f64 y) z) x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (neg.f64 (fma.f64 x x (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) x))))))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 (sin.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (sin.f64 y) z)))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (sin.f64 y) z)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (sin.f64 y) z))))
(exp.f64 (log.f64 (-.f64 x (*.f64 (sin.f64 y) z))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (sin.f64 y) z))))
(fma.f64 1 x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))

Outputs
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 1/120 (.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (.f64 y z) (fma.f64 1/6 (.f64 z (pow.f64 y 3)) x))
(-.f64 (fma.f64 (.f64 z (pow.f64 y 3)) 1/6 x) (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (.f64 y z) (fma.f64 -1/120 (.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 (.f64 z (pow.f64 y 5)) -1/120 (fma.f64 (.f64 z (pow.f64 y 3)) 1/6 x)) (*.f64 y z))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) -1)
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 z (sin.f64 y))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) z))) (exp.f64 (log1p.f64 (.f64 (sin.f64 y) z)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) z))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 1) (.f64 z (sin.f64 y))) (+.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 1))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 z (sin.f64 y))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(fabs.f64 (*.f64 z (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (sin.f64 y) z))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 0 (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 (sin.f64 y) z))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 0 (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 (cos.f64 y) x))
	0.1b	(*.f64 (cos.f64 y) x)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)

Compiler

Compiled 24 to 9 computations (62.5% saved)

series9.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`add-sqr-sqrt`
1574×	`*-un-lft-identity`
1458×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1424×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	200	26
2	2036	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-def`
814×	`unswap-sqr`
610×	`*-commutative`
508×	`+-commutative`
416×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1569
1	367	1379
2	1298	1155
3	4002	1155
4	6761	1155

Stop Event

1×	node limit

Counts

69 → 85

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 x) (.f64 -1/4 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) x) 1)
(.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(.f64 1 (.f64 (cos.f64 y) x))
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 1/4)) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))) 1)
(.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1)
(.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (cos.f64 y) x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1/2))
(pow.f64 (*.f64 (cos.f64 y) x) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.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)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) x))
(fma.f64 -1/2 (.f64 y (.f64 y x)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (.f64 x 1/16)) x))
(fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 (pow.f64 y 4) (*.f64 x 1/24) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (.f64 y (.f64 y x)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (*.f64 x 1/16)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) (*.f64 x 1/24) x))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (+.f64 (.f64 (*.f64 y y) -1/4) 1) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 x))) (fma.f64 1/2 (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 y 4)) (-.f64 (.f64 x 1/24) (.f64 x 1/16))) (sqrt.f64 x)))
(fma.f64 (pow.f64 y 4) (.f64 1/2 (.f64 (.f64 x -1/48) (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 x) (.f64 -1/4 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (+.f64 (fma.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) (.f64 (.f64 1/2 (.f64 (pow.f64 y 6) (+.f64 (.f64 x -1/720) (.f64 1/4 (-.f64 (.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)))))) (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 x))) (fma.f64 1/2 (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 y 4)) (-.f64 (.f64 x 1/24) (.f64 x 1/16))) (fma.f64 1/2 (.f64 (fma.f64 x -1/720 (.f64 (-.f64 (.f64 x 1/24) (.f64 x 1/16)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 (pow.f64 y 6) (fma.f64 (.f64 x -1/48) 1/4 (.f64 x -1/720))) (.f64 (pow.f64 y 4) (*.f64 x -1/48)))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (pow.f64 y 4) (.f64 x -1/48)) (.f64 (pow.f64 y 6) (fma.f64 x -1/720 (.f64 -1/4 (*.f64 x 1/48))))))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(.f64 1 (.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 x (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 1/4)) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 1 (sqrt.f64 (.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 (.f64 (cos.f64 y) x) 1/4) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 y) x))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))

eval525.0ms (4.2%)

Compiler: Compiled 26859 to 13161 computations (51% saved)

prune573.0ms (4.6%)

Pruning

37 alts after pruning (29 fresh and 8 done)

	Pruned	Kept	Total
New	1190	18	1208
Fresh	5	11	16
Picked	0	1	1
Done	2	7	9
Total	1197	37	1234

Error

Counts

1234 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	26.1b	(fma.f64 (neg.f64 y) z x)
	44.3b	(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2) 2)
✓	44.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	62.5b	(/.f64 (/.f64 x (/.f64 z x)) y)
	49.3b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 x -1/2)) (-.f64 (.f64 y z) x)))
	54.9b	(/.f64 (.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (+.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
	62.7b	(/.f64 (.f64 x x) (.f64 z y))
	1.4b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3))
	37.7b	(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
	53.2b	(/.f64 1 (/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 (neg.f64 x) y)) (.f64 (neg.f64 x) (*.f64 x (/.f64 x z)))))
	55.0b	(/.f64 1 (/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x))))))
	25.1b	(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
✓	36.1b	(/.f64 1 (/.f64 1 x))
	37.2b	(/.f64 1 (+.f64 (/.f64 y (*.f64 x (/.f64 x z))) (/.f64 1 x)))
	39.1b	(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (.f64 (/.f64 1 z) (.f64 x x)))))
	36.4b	(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
	46.7b	(/.f64 1 (.f64 (/.f64 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (*.f64 x y)) x) x) (/.f64 z x)))
	14.6b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
	18.7b	(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
	43.8b	(-.f64 (+.f64 1 x) 1)
	52.5b	(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	33.0b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	11.3b	(-.f64 x (*.f64 (sin.f64 y) z))
	18.3b	(-.f64 x (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) z))
✓	26.1b	(-.f64 x (*.f64 y z))
	11.4b	(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
	27.6b	(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
	25.8b	(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
	46.7b	(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (.f64 x y)) x)) (.f64 x (/.f64 x z)))
	25.2b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
	62.5b	(.f64 (.f64 x y) (*.f64 y -1/2))
	37.6b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	52.0b	(*.f64 (neg.f64 y) z)
✓	25.0b	(*.f64 (cos.f64 y) x)
	55.3b	(sqrt.f64 (*.f64 x x))
	36.0b	x

Compiler

Compiled 528 to 339 computations (35.8% saved)

regimes241.0ms (1.9%)

Counts

68 → 1

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 (.f64 x y) (*.f64 y -1/2))
(/.f64 (.f64 x x) (.f64 z y))
(/.f64 (/.f64 x (/.f64 z x)) y)
(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (+.f64 (/.f64 y (*.f64 x (/.f64 x z))) (/.f64 1 x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (.f64 (/.f64 1 z) (.f64 x x)))))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (.f64 x y)) x)) (.f64 x (/.f64 x z)))
(/.f64 1 (.f64 (/.f64 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (*.f64 x y)) x) x) (/.f64 z x)))
(/.f64 (.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (+.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 1 (/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 (neg.f64 x) y)) (.f64 (neg.f64 x) (*.f64 x (/.f64 x z)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 x -1/2)) (-.f64 (.f64 y z) x)))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(fma.f64 (neg.f64 y) z x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 y) z (fma.f64 -1/2 (.f64 (.f64 x y) y) x))
(fma.f64 (neg.f64 y) z (fma.f64 (.f64 y (.f64 y x)) -1/2 x))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
(/.f64 1 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(-.f64 x (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
(-.f64 x (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) z))
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2) 2)
(-.f64 x (.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
(pow.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2)
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(+.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (.f64 (cos.f64 y) x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 3) (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2)) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 2) 1/3) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 4) (pow.f64 (.f64 z (sin.f64 y)) 4)) (.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) x) 2))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Calls

4 calls:

80.0ms	z
54.0ms	y
33.0ms	x
32.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 985 to 334 computations (66.1% saved)

regimes333.0ms (2.7%)

Counts

33 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 (.f64 x y) (*.f64 y -1/2))
(/.f64 (.f64 x x) (.f64 z y))
(/.f64 (/.f64 x (/.f64 z x)) y)
(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (+.f64 (/.f64 y (*.f64 x (/.f64 x z))) (/.f64 1 x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (.f64 (/.f64 1 z) (.f64 x x)))))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (.f64 x y)) x)) (.f64 x (/.f64 x z)))
(/.f64 1 (.f64 (/.f64 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (*.f64 x y)) x) x) (/.f64 z x)))
(/.f64 (.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (+.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 1 (/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 (neg.f64 x) y)) (.f64 (neg.f64 x) (*.f64 x (/.f64 x z)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 x -1/2)) (-.f64 (.f64 y z) x)))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(fma.f64 (neg.f64 y) z x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))

Outputs
(*.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))

Calls

3 calls:

161.0ms	y
97.0ms	x
67.0ms	z

Results

Error	Segments	Branch
4.8b	3	`x`
6.9b	5	`y`
5.2b	3	`z`

Compiler

Compiled 377 to 164 computations (56.5% saved)

bsearch85.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	1.8701658708949286e+45	5.172717772351588e+46
56.0ms	-1.6738107532570597e+87	-8.626993327283705e+78

Results

40.0ms	51×	body	1024	valid
31.0ms	173×	body	256	valid
10.0ms	32×	body	512	valid

Compiler

Compiled 390 to 284 computations (27.2% saved)

regimes352.0ms (2.8%)

Counts

32 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 (.f64 x y) (*.f64 y -1/2))
(/.f64 (.f64 x x) (.f64 z y))
(/.f64 (/.f64 x (/.f64 z x)) y)
(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (+.f64 (/.f64 y (*.f64 x (/.f64 x z))) (/.f64 1 x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (.f64 (/.f64 1 z) (.f64 x x)))))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (.f64 x y)) x)) (.f64 x (/.f64 x z)))
(/.f64 1 (.f64 (/.f64 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (*.f64 x y)) x) x) (/.f64 z x)))
(/.f64 (.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (+.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 1 (/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 (neg.f64 x) y)) (.f64 (neg.f64 x) (*.f64 x (/.f64 x z)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 x -1/2)) (-.f64 (.f64 y z) x)))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(fma.f64 (neg.f64 y) z x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z y))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))

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

Calls

3 calls:

110.0ms	y
98.0ms	z
81.0ms	x

Results

Error	Segments	Branch
5.0b	3	`x`
6.9b	5	`y`
5.4b	3	`z`

Compiler

Compiled 361 to 154 computations (57.3% saved)

bsearch116.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
77.0ms	5.172717772351588e+46	3.985505523391748e+49
38.0ms	-1.6738107532570597e+87	-8.626993327283705e+78

Results

70.0ms	54×	body	1024	valid
32.0ms	189×	body	256	valid
9.0ms	29×	body	512	valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

regimes293.0ms (2.3%)

Counts

25 → 5

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 (.f64 x y) (*.f64 y -1/2))
(/.f64 (.f64 x x) (.f64 z y))
(/.f64 (/.f64 x (/.f64 z x)) y)
(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (+.f64 (/.f64 y (*.f64 x (/.f64 x z))) (/.f64 1 x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (.f64 (/.f64 1 z) (.f64 x x)))))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (.f64 x y)) x)) (.f64 x (/.f64 x z)))
(/.f64 1 (.f64 (/.f64 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (*.f64 x y)) x) x) (/.f64 z x)))
(/.f64 (.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (+.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 1 (/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 (neg.f64 x) y)) (.f64 (neg.f64 x) (*.f64 x (/.f64 x z)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 x -1/2)) (-.f64 (.f64 y z) x)))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(fma.f64 (neg.f64 y) z x)

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

Calls

3 calls:

159.0ms	z
82.0ms	y
45.0ms	x

Results

Error	Segments	Branch
13.6b	3	`x`
8.9b	5	`y`
12.0b	8	`z`

Compiler

Compiled 300 to 126 computations (58% saved)

bsearch196.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
80.0ms	6.474960603492158e+127	4.424680399690432e+161
37.0ms	79909167622.322	3293193951766875.0
32.0ms	-20.88213062056527	-2.331533669571633e-10
47.0ms	-2.095210090343133e+114	-5.688753973189825e+109

Results

123.0ms	304×	body	512	valid
65.0ms	288×	body	256	valid

Compiler

Compiled 647 to 476 computations (26.4% saved)

regimes264.0ms (2.1%)

Counts

24 → 5

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 (.f64 x y) (*.f64 y -1/2))
(/.f64 (.f64 x x) (.f64 z y))
(/.f64 (/.f64 x (/.f64 z x)) y)
(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (+.f64 (/.f64 y (*.f64 x (/.f64 x z))) (/.f64 1 x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (.f64 (/.f64 1 z) (.f64 x x)))))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (.f64 x y)) x)) (.f64 x (/.f64 x z)))
(/.f64 1 (.f64 (/.f64 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (*.f64 x y)) x) x) (/.f64 z x)))
(/.f64 (.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (+.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 1 (/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 (neg.f64 x) y)) (.f64 (neg.f64 x) (*.f64 x (/.f64 x z)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 x -1/2)) (-.f64 (.f64 y z) x)))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))

Outputs
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))

Calls

3 calls:

118.0ms	z
88.0ms	x
51.0ms	y

Results

Error	Segments	Branch
13.6b	3	`x`
8.9b	5	`y`
12.0b	8	`z`

Compiler

Compiled 295 to 125 computations (57.6% saved)

bsearch196.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
60.0ms	6.474960603492158e+127	4.424680399690432e+161
37.0ms	79909167622.322	3293193951766875.0
36.0ms	-20.88213062056527	-2.331533669571633e-10
63.0ms	-2.095210090343133e+114	-5.688753973189825e+109

Results

118.0ms	304×	body	512	valid
68.0ms	288×	body	256	valid

Compiler

Compiled 827 to 602 computations (27.2% saved)

regimes205.0ms (1.6%)

Counts

22 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 (.f64 x y) (*.f64 y -1/2))
(/.f64 (.f64 x x) (.f64 z y))
(/.f64 (/.f64 x (/.f64 z x)) y)
(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (+.f64 (/.f64 y (*.f64 x (/.f64 x z))) (/.f64 1 x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (.f64 (/.f64 1 z) (.f64 x x)))))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (.f64 x y)) x)) (.f64 x (/.f64 x z)))
(/.f64 1 (.f64 (/.f64 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (*.f64 x y)) x) x) (/.f64 z x)))
(/.f64 (.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (+.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 1 (/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 (neg.f64 x) y)) (.f64 (neg.f64 x) (*.f64 x (/.f64 x z)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 x -1/2)) (-.f64 (.f64 y z) x)))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)

Outputs
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
(*.f64 (cos.f64 y) x)

Calls

3 calls:

75.0ms	x
75.0ms	z
50.0ms	y

Results

Error	Segments	Branch
17.8b	3	`x`
14.6b	3	`y`
18.4b	3	`z`

Compiler

Compiled 285 to 121 computations (57.5% saved)

bsearch72.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	79909167622.322	3293193951766875.0
35.0ms	-20.88213062056527	-2.331533669571633e-10

Results

67.0ms

288×

body

256

valid

Compiler

Compiled 504 to 355 computations (29.6% saved)

regimes40.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 (.f64 x y) (*.f64 y -1/2))
(/.f64 (.f64 x x) (.f64 z y))
(/.f64 (/.f64 x (/.f64 z x)) y)
(-.f64 (.f64 (.f64 x y) (.f64 y -1/2)) (.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 1 (+.f64 (/.f64 y (*.f64 x (/.f64 x z))) (/.f64 1 x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (*.f64 y y))) x))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (.f64 (/.f64 1 z) (.f64 x x)))))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (.f64 x y)) x)) (.f64 x (/.f64 x z)))
(/.f64 1 (.f64 (/.f64 (/.f64 (+.f64 (.f64 x (/.f64 x z)) (*.f64 x y)) x) x) (/.f64 z x)))
(/.f64 (.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (+.f64 x (/.f64 x (*.f64 y (/.f64 z x)))))
(/.f64 1 (/.f64 (+.f64 x (/.f64 x (.f64 y (/.f64 z x)))) (.f64 x (/.f64 x (*.f64 y (/.f64 z x))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (neg.f64 x) (/.f64 z x)) (.f64 (neg.f64 x) y)) (.f64 (neg.f64 x) (*.f64 x (/.f64 x z)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2))) (+.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 x -1/2)))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 x -1/2)) (-.f64 (.f64 y z) x)))
(sqrt.f64 (*.f64 x x))

Outputs
(-.f64 x (*.f64 y z))

Calls

3 calls:

12.0ms	z
11.0ms	y
11.0ms	x

Results

Error	Segments	Branch
26.1b	1	`x`
26.1b	1	`y`
26.1b	1	`z`

Compiler

Compiled 281 to 119 computations (57.7% saved)

regimes36.0ms (0.3%)

Accuracy

Total -31.2b remaining (-100.7%)

Threshold costs -31.2b (-100.7%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)

Outputs
x
(*.f64 (neg.f64 y) z)
x

Calls

3 calls:

19.0ms	y
8.0ms	x
8.0ms	z

Results

Error	Segments	Branch
31.0b	3	`x`
36.0b	1	`y`
33.5b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch68.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	2.33367355576861e-148	3.916712651827723e-144
35.0ms	-1.5932965241268178e-228	-6.663333536360678e-232

Results

32.0ms	173×	body	256	valid
21.0ms	46×	body	1024	valid
11.0ms	37×	body	512	valid

Compiler

Compiled 226 to 173 computations (23.5% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
26×	`+-commutative`
12×	`sub-neg`
12×	`neg-sub0`
10×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	525
1	124	517
2	144	517
3	153	517
4	158	517
5	159	517

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -1250000000000000018288369038343591288712553734830818824098263483962245455313935269888) (.f64 (cos.f64 y) x) (if (<=.f64 x 10500000000000000054733159900266663744712474624) (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(if (<=.f64 x -1300000000000000053528635533830153877434835195609178839317738884172668049339113799680) (.f64 (cos.f64 y) x) (if (<=.f64 x 8599999999999999565777866041588480291962758365184) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -1119999999999999946298177768836558443426162749105503389104082455605996595668040847176866768209522825632713539584) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y -5764607523034235/144115188075855872) (.f64 (cos.f64 y) x) (if (<=.f64 y 80000000000) (fma.f64 (neg.f64 y) z x) (if (<=.f64 y 219999999999999980963135295346113157318780632870327676175337887969057201757548195587062634908314123108680059798223517184501454985094564442632355840) (.f64 (cos.f64 y) x) (.f64 (neg.f64 z) (sin.f64 y))))))
(if (<=.f64 y -115000000000000001041737392316368418952585563486578824726577033924717415352482343137696415817006263974726991872) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y -7782220156096217/288230376151711744) (.f64 (cos.f64 y) x) (if (<=.f64 y 80000000000) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (.f64 y y))) x)) (if (<=.f64 y 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000) (.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))))))
(if (<=.f64 y -5476377146882523/288230376151711744) (.f64 (cos.f64 y) x) (if (<=.f64 y 80000000000) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (.f64 y y))) x)) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -6281803036927453/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096) x (if (<=.f64 x 7486192554119879/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (*.f64 (neg.f64 y) z) x))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -1250000000000000018288369038343591288712553734830818824098263483962245455313935269888) (.f64 (cos.f64 y) x) (if (<=.f64 x 10500000000000000054733159900266663744712474624) (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(if (<=.f64 x -1250000000000000018288369038343591288712553734830818824098263483962245455313935269888) (.f64 x (cos.f64 y)) (if (<=.f64 x 10500000000000000054733159900266663744712474624) (-.f64 x (.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(if (<=.f64 x -1300000000000000053528635533830153877434835195609178839317738884172668049339113799680) (.f64 (cos.f64 y) x) (if (<=.f64 x 8599999999999999565777866041588480291962758365184) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -1300000000000000053528635533830153877434835195609178839317738884172668049339113799680) (not (<=.f64 x 8599999999999999565777866041588480291962758365184))) (.f64 x (cos.f64 y)) (-.f64 x (.f64 z (sin.f64 y))))
(if (<=.f64 y -1119999999999999946298177768836558443426162749105503389104082455605996595668040847176866768209522825632713539584) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y -5764607523034235/144115188075855872) (.f64 (cos.f64 y) x) (if (<=.f64 y 80000000000) (fma.f64 (neg.f64 y) z x) (if (<=.f64 y 219999999999999980963135295346113157318780632870327676175337887969057201757548195587062634908314123108680059798223517184501454985094564442632355840) (.f64 (cos.f64 y) x) (.f64 (neg.f64 z) (sin.f64 y))))))
(if (<=.f64 y -1119999999999999946298177768836558443426162749105503389104082455605996595668040847176866768209522825632713539584) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -5764607523034235/144115188075855872) (.f64 x (cos.f64 y)) (if (<=.f64 y 80000000000) (fma.f64 (neg.f64 y) z x) (if (<=.f64 y 219999999999999980963135295346113157318780632870327676175337887969057201757548195587062634908314123108680059798223517184501454985094564442632355840) (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))))
(if (<=.f64 y -115000000000000001041737392316368418952585563486578824726577033924717415352482343137696415817006263974726991872) (.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y -7782220156096217/288230376151711744) (.f64 (cos.f64 y) x) (if (<=.f64 y 80000000000) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (.f64 y y))) x)) (if (<=.f64 y 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000) (.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))))))
(if (<=.f64 y -115000000000000001041737392316368418952585563486578824726577033924717415352482343137696415817006263974726991872) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -7782220156096217/288230376151711744) (.f64 x (cos.f64 y)) (if (<=.f64 y 80000000000) (+.f64 (neg.f64 (.f64 y z)) (+.f64 x (.f64 -1/2 (.f64 x (.f64 y y))))) (if (<=.f64 y 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000) (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))))
(if (<=.f64 y -115000000000000001041737392316368418952585563486578824726577033924717415352482343137696415817006263974726991872) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -7782220156096217/288230376151711744) (.f64 x (cos.f64 y)) (if (<=.f64 y 80000000000) (-.f64 (+.f64 x (.f64 -1/2 (.f64 x (.f64 y y)))) (.f64 y z)) (if (<=.f64 y 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000) (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))))
(if (<=.f64 y -5476377146882523/288230376151711744) (.f64 (cos.f64 y) x) (if (<=.f64 y 80000000000) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 x (.f64 y y))) x)) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -5476377146882523/288230376151711744) (not (<=.f64 y 80000000000))) (.f64 x (cos.f64 y)) (+.f64 (neg.f64 (.f64 y z)) (+.f64 x (.f64 -1/2 (.f64 x (*.f64 y y))))))
(if (or (<=.f64 y -5476377146882523/288230376151711744) (not (<=.f64 y 80000000000))) (.f64 x (cos.f64 y)) (-.f64 (+.f64 x (.f64 -1/2 (.f64 x (.f64 y y)))) (*.f64 y z)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -6281803036927453/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096) x (if (<=.f64 x 7486192554119879/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (*.f64 (neg.f64 y) z) x))
(if (<=.f64 x -6281803036927453/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096) x (if (<=.f64 x 7486192554119879/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (neg.f64 (*.f64 y z)) x))
x

Compiler

Compiled 221 to 134 computations (39.4% saved)

soundness0.0ms (0%)

end127.0ms (1%)

Compiler: Compiled 197 to 86 computations (56.3% saved)

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27

Iter	Nodes	Cost
0	11	27
1	20	27
2	33	27
3	51	27
4	77	27
5	131	27
6	227	27
7	355	27
8	565	27
9	737	27
10	782	27
11	788	27