Details

analyze210.0ms (4.4%)

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
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
37.6%	34.3%	56.9%	0.1%	8.6%	0%	0%	10
44.8%	40.6%	49.9%	0.1%	9.4%	0%	0%	11
53.4%	48%	41.9%	0.1%	9.9%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample995.0ms (20.6%)

Results

845.0ms	8255×	body	256	valid
136.0ms	1132×	body	256	infinite
0.0ms	1×	body	512	valid

Bogosity

preprocess224.0ms (4.6%)

Algorithm

2×	egg-herbie

Rules

3848×	`fma-def`
1284×	`associate-+l-`
800×	`+-commutative`
734×	`distribute-lft-in`
712×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	31	76
2	83	76
3	219	76
4	880	76
5	1962	76
6	3232	76
7	5355	76
8	5910	76
9	6030	76
10	6030	76
11	6121	76
12	6121	76
13	7264	76
14	7264	76
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

870×	`fma-neg`
784×	`fma-def`
762×	`associate-+l-`
706×	`associate--r+`
516×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	16	19
2	34	19
3	82	19
4	317	19
5	705	19
6	1167	19
7	1963	19
8	3661	19
9	4008	19
10	4043	19
11	4043	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% 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

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 10 to 7 computations (30% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 20 to 10 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite115.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`associate-*r/`
972×	`associate-*l/`
908×	`*-commutative`
724×	`distribute-lft-in`
712×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	191	19
2	2576	19

Stop Event

1×	node limit

Counts

1 → 104

Calls

Call 1

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

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

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

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1392×	`associate-/r/`
1200×	`associate-*r/`
970×	`associate-*l/`
890×	`associate-/l*`
446×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	310	5544
1	941	5480
2	4193	5480

Stop Event

1×	node limit

Counts

140 → 175

Calls

Call 1

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

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

eval46.0ms (0.9%)

Compiler: Compiled 3268 to 1469 computations (55% saved)

prune60.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	168	7	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	169	7	176

Error

Counts

176 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(/.f64 (-.f64 1 z) (/.f64 1 (+.f64 x y)))
	0.1b	(/.f64 (+.f64 x y) (/.f64 1 (-.f64 1 z)))
▶	0.0b	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
▶	22.2b	(+.f64 y x)
▶	32.4b	(*.f64 (-.f64 1 z) x)
▶	41.6b	(*.f64 (+.f64 y x) (neg.f64 z))
▶	31.1b	(*.f64 y (-.f64 1 z))

Compiler

Compiled 136 to 94 computations (30.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 7 computations (74.1% saved)

series42.0ms (0.9%)

Counts

2 → 72

Calls

18 calls:

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

rewrite118.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1202×	`associate-*r/`
1024×	`*-commutative`
1010×	`distribute-lft-in`
1002×	`associate-*l/`
400×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	223	32
2	3309	32

Stop Event

1×	node limit

Counts

2 → 228

Calls

Call 1

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

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

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(neg.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) z (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (+.f64 x y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 y (*.f64 (+.f64 x y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 x y) (neg.f64 z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x y) (neg.f64 z))) (sqrt.f64 (*.f64 (+.f64 x y) (neg.f64 z))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 y (*.f64 (+.f64 x y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 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simplify214.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1106×	`distribute-lft-in`
1042×	`associate-r`
1000×	`associate-/l*`
962×	`associate-l`
616×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	17490
1	1851	16688

Stop Event

1×	node limit

Counts

300 → 464

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 1 z))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(*.f64 y (-.f64 1 z))
0.0ms	y	@	0	(*.f64 y (-.f64 1 z))
0.0ms	y	@	inf	(*.f64 y (-.f64 1 z))
0.0ms	y	@	-inf	(*.f64 y (-.f64 1 z))
0.0ms	z	@	0	(*.f64 y (-.f64 1 z))

rewrite51.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1432×	`*-un-lft-identity`
1332×	`add-cube-cbrt`
1316×	`add-cbrt-cube`
1306×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	142	13
2	1752	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 y (-.f64 1 z))

Outputs

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

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

936×	`*-commutative`
846×	`fma-def`
654×	`distribute-lft-neg-out`
634×	`distribute-rgt-neg-out`
572×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	508
1	143	462
2	420	462
3	2176	462
4	4773	462

Stop Event

1×	node limit

Counts

30 → 36

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 z) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1432×	`*-un-lft-identity`
1332×	`add-cube-cbrt`
1316×	`add-cbrt-cube`
1306×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	142	13
2	1752	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 (-.f64 1 z) x)

Outputs

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

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

922×	`*-commutative`
846×	`fma-def`
558×	`associate-r`
554×	`+-commutative`
544×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	508
1	139	462
2	414	462
3	2158	462
4	4767	462

Stop Event

1×	node limit

Counts

30 → 34

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`add-sqr-sqrt`
1846×	`*-un-lft-identity`
1720×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	191	13
2	2595	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify93.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1204×	`associate-+r-`
958×	`associate-+l+`
726×	`*-commutative`
606×	`distribute-lft-neg-out`
512×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	999
1	186	999
2	640	999
3	3148	999
4	7523	999

Stop Event

1×	node limit

Counts

59 → 37

Calls

Call 1

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

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

eval149.0ms (3.1%)

Compiler: Compiled 14756 to 4648 computations (68.5% saved)

prune122.0ms (2.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	565	6	571
Fresh	0	2	2
Picked	0	1	1
Done	2	2	4
Total	567	11	578

Error

Counts

578 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(/.f64 (-.f64 1 z) (/.f64 1 (+.f64 x y)))
▶	0.1b	(/.f64 (+.f64 x y) (/.f64 1 (-.f64 1 z)))
▶	32.4b	(-.f64 x (*.f64 x z))
▶	31.1b	(+.f64 y (*.f64 (neg.f64 z) y))
✓	22.2b	(+.f64 y x)
✓	41.6b	(*.f64 (+.f64 y x) (neg.f64 z))
▶	53.9b	(*.f64 (neg.f64 z) x)
▶	50.2b	(*.f64 z (neg.f64 y))
✓	31.1b	(*.f64 y (-.f64 1 z))
	44.6b	y
	40.8b	x

Compiler

Compiled 141 to 100 computations (29.1% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 1 z))
✓	0.1b	(/.f64 (+.f64 x y) (/.f64 1 (-.f64 1 z)))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`associate-/r*`
1066×	`*-commutative`
968×	`associate-/l*`
666×	`distribute-lft-in`
656×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	225	32
2	3183	32

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

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

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

simplify99.0ms (2%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-/r/`
704×	`associate-/l/`
682×	`distribute-lft-neg-out`
658×	`+-commutative`
604×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	5101
1	1182	4771
2	4356	4757

Stop Event

1×	node limit

Counts

179 → 223

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize4.0ms (0.1%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`add-sqr-sqrt`
1494×	`*-un-lft-identity`
1396×	`add-cube-cbrt`
1382×	`add-cbrt-cube`
1370×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	133	13
2	1857	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1162×	`associate-+l+`
1078×	`associate-*r/`
882×	`fma-def`
684×	`times-frac`
540×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1263
1	302	1153
2	1292	1053
3	5692	1053

Stop Event

1×	node limit

Counts

63 → 51

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (*.f64 (neg.f64 z) y))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+.f64 y (*.f64 (neg.f64 z) y))
0.0ms	y	@	inf	(+.f64 y (*.f64 (neg.f64 z) y))
0.0ms	z	@	0	(+.f64 y (*.f64 (neg.f64 z) y))
0.0ms	z	@	inf	(+.f64 y (*.f64 (neg.f64 z) y))
0.0ms	y	@	-inf	(+.f64 y (*.f64 (neg.f64 z) y))

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`add-sqr-sqrt`
1624×	`*-un-lft-identity`
1516×	`add-cube-cbrt`
1500×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	174	9
2	2475	9

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1486×	`associate-/l/`
812×	`associate--r+`
736×	`associate-+r-`
550×	`fma-def`
512×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1433
1	296	1341
2	1459	1277
3	5325	1277

Stop Event

1×	node limit

Counts

71 → 80

Calls

Call 1

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

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

eval145.0ms (3%)

Compiler: Compiled 5702 to 2801 computations (50.9% saved)

prune97.0ms (2%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	351	3	354
Fresh	1	2	3
Picked	1	0	1
Done	1	6	7
Total	354	11	365

Error

Counts

365 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(/.f64 (-.f64 1 z) (/.f64 1 x))
▶	41.7b	(/.f64 (+.f64 x y) (/.f64 -1 z))
▶	31.1b	(-.f64 y (*.f64 z y))
✓	32.4b	(-.f64 x (*.f64 x z))
✓	22.2b	(+.f64 y x)
✓	41.6b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	53.9b	(*.f64 (neg.f64 z) x)
✓	50.2b	(*.f64 z (neg.f64 y))
✓	31.1b	(*.f64 y (-.f64 1 z))
	44.6b	y
	40.8b	x

Compiler

Compiled 81 to 57 computations (29.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1386×	`add-cbrt-cube`
1374×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	133	13
2	1861	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-/r/`
1160×	`associate-+l+`
938×	`times-frac`
874×	`fma-def`
610×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1109
1	314	1059
2	1345	1049
3	5908	1049

Stop Event

1×	node limit

Counts

65 → 53

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 x y) (/.f64 -1 z))

Compiler

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite69.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`associate-*r/`
1174×	`associate-/r*`
1052×	`associate-*l/`
966×	`*-commutative`
896×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	200	17
2	2735	17

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

Outputs

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

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1396×	`distribute-lft-in`
1310×	`distribute-rgt-in`
1062×	`*-commutative`
976×	`associate-/r*`
614×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	194	3172
1	624	2350
2	2495	2350

Stop Event

1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1936×	`*-un-lft-identity`
1814×	`add-cube-cbrt`
1794×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	178	13
2	2507	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-+l+`
580×	`distribute-lft-neg-in`
562×	`associate-*r/`
494×	`distribute-rgt-neg-in`
464×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	889
1	276	871
2	971	871
3	4385	871

Stop Event

1×	node limit

Counts

61 → 50

Calls

Call 1

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

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

eval65.0ms (1.3%)

Compiler: Compiled 2785 to 1255 computations (54.9% saved)

prune37.0ms (0.8%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	2	2
Picked	0	1	1
Done	0	8	8
Total	208	11	219

Error

Counts

219 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(/.f64 (-.f64 1 z) (/.f64 1 x))
✓	41.7b	(/.f64 (+.f64 x y) (/.f64 -1 z))
✓	31.1b	(-.f64 y (*.f64 z y))
✓	32.4b	(-.f64 x (*.f64 x z))
✓	22.2b	(+.f64 y x)
✓	41.6b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	53.9b	(*.f64 (neg.f64 z) x)
✓	50.2b	(*.f64 z (neg.f64 y))
✓	31.1b	(*.f64 y (-.f64 1 z))
	44.6b	y
	40.8b	x

Compiler

Compiled 81 to 57 computations (29.6% saved)

regimes52.0ms (1.1%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	y
9.0ms	(+.f64 x y)
8.0ms	z
8.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
8.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(*.f64 (+.f64 x y) (-.f64 1 z))`
0.0b	1	`(+.f64 x y)`
0.0b	1	`(-.f64 1 z)`

Compiler

Compiled 131 to 70 computations (46.6% saved)

regimes97.0ms (2%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

6 calls:

56.0ms	y
9.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
8.0ms	x
8.0ms	(+.f64 x y)
8.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(*.f64 (+.f64 x y) (-.f64 1 z))`
0.0b	1	`(+.f64 x y)`
0.0b	1	`(-.f64 1 z)`

Compiler

Compiled 121 to 68 computations (43.8% saved)

regimes131.0ms (2.7%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	(-.f64 1 z)
38.0ms	x
24.0ms	y
23.0ms	z

Results

Error	Segments	Branch
10.5b	2	`x`
11.4b	4	`y`
2.2b	3	`z`
2.2b	3	`(-.f64 1 z)`

Compiler

Compiled 66 to 35 computations (47% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.135545206270088	1507.1448979991237
0.0ms	-1199596.4558369592	0.507312058983816

Compiler

Compiled 16 to 12 computations (25% saved)

regimes76.0ms (1.6%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

39.0ms	y
15.0ms	z
11.0ms	x
8.0ms	(-.f64 1 z)

Results

Error	Segments	Branch
10.5b	2	`x`
11.5b	4	`y`
8.8b	3	`z`
8.8b	3	`(-.f64 1 z)`

Compiler

Compiled 54 to 32 computations (40.7% saved)

bsearch21.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	1.2390371764017604e-5	4.074836130071122e-5
14.0ms	-0.0007004549010510211	-2.3106485607721397e-13

Results

19.0ms

224×

body

256

valid

Compiler

Compiled 240 to 180 computations (25% saved)

regimes84.0ms (1.7%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	x
25.0ms	z
12.0ms	y

Results

Error	Segments	Branch
19.1b	5	`x`
21.1b	3	`y`
10.6b	3	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch41.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.492687941016184	1199597.4558369592
28.0ms	-1506.1448979991237	-0.13554520627008795

Results

38.0ms

272×

body

256

valid

Compiler

Compiled 271 to 199 computations (26.6% saved)

regimes54.0ms (1.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

3 calls:

46.0ms	y
3.0ms	x
3.0ms	z

Results

Error	Segments	Branch
22.2b	1	`x`
22.2b	1	`y`
22.2b	1	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes70.0ms (1.4%)

Accuracy

Total -33.3b remaining (-115.2%)

Threshold costs -33.3b (-115.2%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

3 calls:

34.0ms	y
21.0ms	z
8.0ms	x

Results

Error	Segments	Branch
28.9b	2	`x`
30.2b	2	`y`
36.1b	7	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	-3.4452613747732104e-57	-1.5951511509668816e-59

Results

10.0ms

112×

body

256

valid

Compiler

Compiled 86 to 68 computations (20.9% saved)

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	216
1	73	212
2	88	212
3	101	212
4	109	212
5	112	212
6	113	212

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 (-.f64 1 z) -1000000) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (<=.f64 z -944473296573929/590295810358705651712) (.f64 y (-.f64 1 z)) (if (<=.f64 z 7673845534663173/590295810358705651712) (+.f64 y x) (.f64 y (-.f64 1 z))))
(if (<=.f64 z -29) (.f64 z (neg.f64 y)) (if (<=.f64 z 1) (+.f64 y x) (.f64 z (neg.f64 y))))
(+.f64 y x)
(if (<=.f64 x -3957737425103581/56539106072908298546665520023773392506479484700019806659891398441363832832) x y)
x

Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(+.f64 (+.f64 x y) (*.f64 (neg.f64 z) (+.f64 x y)))
(-.f64 (+.f64 x y) (*.f64 z (+.f64 x y)))
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(if (<=.f64 (-.f64 1 z) -1000000) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (or (<=.f64 (-.f64 1 z) -1000000) (not (<=.f64 (-.f64 1 z) 2))) (*.f64 (neg.f64 z) (+.f64 x y)) (+.f64 x y))
(if (or (<=.f64 (-.f64 1 z) -1000000) (not (<=.f64 (-.f64 1 z) 2))) (*.f64 z (neg.f64 (+.f64 x y))) (+.f64 x y))
(if (<=.f64 z -944473296573929/590295810358705651712) (.f64 y (-.f64 1 z)) (if (<=.f64 z 7673845534663173/590295810358705651712) (+.f64 y x) (.f64 y (-.f64 1 z))))
(if (or (<=.f64 z -944473296573929/590295810358705651712) (not (<=.f64 z 7673845534663173/590295810358705651712))) (*.f64 y (-.f64 1 z)) (+.f64 x y))
(if (<=.f64 z -29) (.f64 z (neg.f64 y)) (if (<=.f64 z 1) (+.f64 y x) (.f64 z (neg.f64 y))))
(if (or (<=.f64 z -29) (not (<=.f64 z 1))) (*.f64 z (neg.f64 y)) (+.f64 x y))
(if (or (<=.f64 z -29) (not (<=.f64 z 1))) (*.f64 y (neg.f64 z)) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 x -3957737425103581/56539106072908298546665520023773392506479484700019806659891398441363832832) x y)
x

Compiler

Compiled 105 to 70 computations (33.3% saved)

soundness0.0ms (0%)

end53.0ms (1.1%)

Remove: (sort x y)
Compiler: Compiled 108 to 56 computations (48.1% saved)

Details

analyze210.0ms (4.4%)

sample995.0ms (20.6%)

preprocess224.0ms (4.6%)

simplify84.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite115.0ms (2.4%)

simplify88.0ms (1.8%)

eval46.0ms (0.9%)

prune60.0ms (1.2%)

localize8.0ms (0.2%)

series42.0ms (0.9%)

rewrite118.0ms (2.4%)

simplify214.0ms (4.4%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite51.0ms (1.1%)

simplify55.0ms (1.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (1%)

simplify55.0ms (1.1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite59.0ms (1.2%)

simplify93.0ms (1.9%)

eval149.0ms (3.1%)

prune122.0ms (2.5%)

localize12.0ms (0.3%)

series1.0ms (0%)

rewrite81.0ms (1.7%)

simplify99.0ms (2%)

localize5.0ms (0.1%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite76.0ms (1.6%)

simplify62.0ms (1.3%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite60.0ms (1.2%)

simplify65.0ms (1.3%)

eval145.0ms (3%)

prune97.0ms (2%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite54.0ms (1.1%)

simplify64.0ms (1.3%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite69.0ms (1.4%)

simplify74.0ms (1.5%)

localize9.0ms (0.2%)

series0.0ms (0%)

rewrite59.0ms (1.2%)

simplify55.0ms (1.1%)

eval65.0ms (1.3%)

prune37.0ms (0.8%)

regimes52.0ms (1.1%)

regimes97.0ms (2%)

regimes131.0ms (2.7%)

bsearch0.0ms (0%)

regimes76.0ms (1.6%)

bsearch21.0ms (0.4%)

regimes84.0ms (1.7%)

bsearch41.0ms (0.9%)

regimes54.0ms (1.1%)

regimes70.0ms (1.4%)

bsearch11.0ms (0.2%)

simplify45.0ms (0.9%)

soundness0.0ms (0%)

end53.0ms (1.1%)

Profiling