Details

analyze356.0ms (10.6%)

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
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	9
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	10
32.8%	32.8%	67.1%	0.1%	0%	0%	0%	11
39.8%	39.8%	60.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample1.9s (55.6%)

Results

883.0ms	6310×	body	256	valid
246.0ms	506×	body	2048	valid
239.0ms	856×	body	1024	valid
211.0ms	1741×	body	256	infinite
139.0ms	584×	body	512	valid
85.0ms	203×	body	1024	infinite
54.0ms	318×	body	512	infinite

Bogosity

preprocess59.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1304×	`+-commutative`
1068×	`fma-neg`
878×	`fma-def`
784×	`associate--l-`
710×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	136
1	96	112
2	369	100
3	1025	52
4	2882	52
5	6168	52
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify120.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1478×	`distribute-lft-out`
1172×	`*-commutative`
910×	`distribute-lft-in`
908×	`associate--l-`
804×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	32	31
2	106	25
3	280	13
4	759	13
5	2426	13
6	5456	13
7	5897	13
8	6371	13
9	6925	13
10	7015	13
11	7572	13

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 56 to 21 computations (62.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

0.01%

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(*.f64 y (-.f64 x z))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 y (-.f64 x z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite52.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`add-sqr-sqrt`
1646×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	2001	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify60.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1232×	`fma-def`
1218×	`associate-*r/`
870×	`associate-r`
762×	`associate-l`
568×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	611
1	161	611
2	457	611
3	2999	611
4	6678	611

Stop Event

1×	node limit

Counts

43 → 29

Calls

Call 1

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

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

eval4.0ms (0.1%)

Compiler: Compiled 291 to 115 computations (60.5% saved)

prune7.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Error

Counts

30 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.93%	(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)
✓	0.01%	(*.f64 y (-.f64 x z))
▶	43.12%	(*.f64 y (neg.f64 z))
▶	50.43%	(*.f64 y x)

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize3.0ms (0.1%)

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

localize4.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(*.f64 y (-.f64 x z))
✓	0.32%	(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)
✓	4.89%	(sqrt.f64 (*.f64 y (-.f64 x z)))

Compiler

Compiled 29 to 9 computations (69% saved)

series15.0ms (0.4%)

Counts

2 → 16

Calls

18 calls:

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

rewrite73.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`*-commutative`
754×	`unswap-sqr`
576×	`associate-*r/`
548×	`swap-sqr`
478×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	232	30
2	2648	30

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 y (-.f64 x z)))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)

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

Outputs

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

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

simplify87.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1874×	`distribute-lft-in`
1216×	`associate-/r/`
672×	`associate-l`
618×	`associate-+r+`
586×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	6218
1	1090	5166
2	4549	5160

Stop Event

1×	node limit

Counts

142 → 235

Calls

Call 1

Inputs
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z)))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z))) (.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z)))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z))) (+.f64 (.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z)))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 z 3)))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z))) (+.f64 (.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z)))) (+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 y (pow.f64 z 5))))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 z 3))))))))
(sqrt.f64 (*.f64 y x))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y x)) z)) (sqrt.f64 (*.f64 y x)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y x)) z)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 x 3))) (pow.f64 z 2))) (sqrt.f64 (*.f64 y x))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y x)) z)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 x 3))) (pow.f64 z 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 y (pow.f64 x 5))) (pow.f64 z 3))) (sqrt.f64 (*.f64 y x)))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y z))
(+.f64 (.f64 y x) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y z)))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y z)) (.f64 (+.f64 (.f64 1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) z))) (.f64 -1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) z)))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 z 2)))) (.f64 -1/8 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 z 2))))) (pow.f64 x 3)) (+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y z)) (.f64 (+.f64 (.f64 1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) z))) (.f64 -1/4 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 -1) 2) z)))) (pow.f64 x 2)))))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 y x) (.f64 (+.f64 (.f64 1/4 (/.f64 y x)) (.f64 -1/4 (/.f64 y x))) (pow.f64 z 2))))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/8 (/.f64 y (pow.f64 x 2))) (.f64 1/8 (/.f64 y (pow.f64 x 2))))) (+.f64 (.f64 y x) (.f64 (+.f64 (.f64 1/4 (/.f64 y x)) (*.f64 -1/4 (/.f64 y x))) (pow.f64 z 2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))) 1)
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) 1)
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (pow.f64 1 1/2))
(.f64 1 (sqrt.f64 (.f64 y (-.f64 x z))))
(.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4) (pow.f64 (*.f64 y (-.f64 x z)) 1/4))
(*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 x z)))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (*.f64 y (-.f64 x z))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 y (-.f64 x z))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2) 1/2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 1/4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z))))) (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z))))) (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z))))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4)) (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z))))) (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4)) (sqrt.f64 (cbrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 y (-.f64 x z)) 3/2) 1/6) (pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3/2) 1/6))
(/.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (.f64 x x) (*.f64 z z)))) (sqrt.f64 (+.f64 x z)))
(/.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (*.f64 z z))) (sqrt.f64 y)) (sqrt.f64 (+.f64 x z)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (sqrt.f64 y)) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))
(pow.f64 (*.f64 y (-.f64 x z)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 1)
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(+.f64 (.f64 y (-.f64 x z)) (.f64 y (fma.f64 (neg.f64 z) 1 z)))
(+.f64 (.f64 y (-.f64 x z)) (.f64 y (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)))
(+.f64 (.f64 y (-.f64 x z)) (.f64 y (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)))
(+.f64 (.f64 y (-.f64 x z)) (.f64 (fma.f64 (neg.f64 z) 1 z) y))
(+.f64 (.f64 y (-.f64 x z)) (.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) y))
(+.f64 (.f64 y (-.f64 x z)) (.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) y))
(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 y x))
(+.f64 (.f64 1 (.f64 y x)) (.f64 1 (.f64 y (neg.f64 z))))
(+.f64 (.f64 (.f64 y x) 1) (.f64 (.f64 y (neg.f64 z)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) 1)
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(.f64 (.f64 y (-.f64 x z)) 1)
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
(.f64 1 (.f64 y (-.f64 x z)))
(.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4) (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (*.f64 y (-.f64 x z)) 1/4)))
(.f64 (sqrt.f64 (-.f64 x z)) (.f64 y (sqrt.f64 (-.f64 x z))))
(.f64 (sqrt.f64 (-.f64 x z)) (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (-.f64 x z))))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2) (cbrt.f64 (*.f64 y (-.f64 x z))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (cbrt.f64 (-.f64 x z)) (.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) 2))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 x z) 2)) (.f64 y (cbrt.f64 (-.f64 x z))))
(.f64 (cbrt.f64 y) (.f64 (-.f64 x z) (cbrt.f64 (*.f64 y y))))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (-.f64 x z) (cbrt.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (.f64 y (-.f64 x z)) 1/4)) (pow.f64 (*.f64 y (-.f64 x z)) 1/4))
(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
(.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) 2))) (cbrt.f64 (-.f64 x z)))
(.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (-.f64 x z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x z)))
(.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(.f64 (.f64 y (cbrt.f64 (-.f64 x z))) (cbrt.f64 (pow.f64 (-.f64 x z) 2)))
(.f64 (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (-.f64 x z))) (sqrt.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z))))) (cbrt.f64 (*.f64 y (-.f64 x z))))
(.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) (.f64 z z))) (-.f64 (.f64 x x) (.f64 z z))) (-.f64 x z))
(.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) (.f64 z z))) (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 x x) (.f64 z (-.f64 z x))))
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 z (+.f64 x z)) 2))) (-.f64 (.f64 x x) (*.f64 z (+.f64 x z))))
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 z (+.f64 x z)) 3))) (+.f64 (pow.f64 x 4) (.f64 (.f64 z (+.f64 x z)) (-.f64 (.f64 z (+.f64 x z)) (.f64 x x)))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (*.f64 y (-.f64 x z)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 y (-.f64 x z)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2)) (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z))))) (.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (cbrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 3/2) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 y (-.f64 x z)) 2) 1/4) (pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) 1/4))
(.f64 (pow.f64 (pow.f64 (.f64 y (-.f64 x z)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/6))
(/.f64 y (/.f64 1 (-.f64 x z)))
(/.f64 (-.f64 (.f64 x x) (.f64 z z)) (/.f64 (+.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y))
(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
(/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (.f64 z (+.f64 x z))))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 z) 3))) (+.f64 (.f64 x x) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))))
(/.f64 (.f64 y (.f64 (neg.f64 (+.f64 x z)) (-.f64 x z))) (neg.f64 (+.f64 x z)))
(/.f64 (.f64 y (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))
(/.f64 (.f64 1 (.f64 y (-.f64 (.f64 x x) (.f64 z z)))) (+.f64 x z))
(/.f64 (.f64 1 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 z z)))) (sqrt.f64 (+.f64 x z)))
(/.f64 (.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) 2))) (cbrt.f64 (-.f64 (.f64 x x) (.f64 z z)))) (cbrt.f64 (+.f64 x z)))
(/.f64 (.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) 2))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 y)) (sqrt.f64 (-.f64 (.f64 x x) (*.f64 z z)))) (sqrt.f64 (+.f64 x z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 y)) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 z) 3)) y) (+.f64 (.f64 x x) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))))
(/.f64 (.f64 (.f64 (neg.f64 (+.f64 x z)) (-.f64 x z)) y) (neg.f64 (+.f64 x z)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) y) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))
(/.f64 (.f64 (.f64 y (-.f64 (.f64 x x) (.f64 z z))) 1) (+.f64 x z))
(/.f64 (.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) 1) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (+.f64 x z)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (.f64 y (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) 1) (+.f64 x z))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 x z)))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) (.f64 z z))) (.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 (+.f64 x z)))) (cbrt.f64 (+.f64 x z)))
(/.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) 1) (fma.f64 x x (.f64 z (+.f64 x z))))
(/.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 x z))))) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) (cbrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))) (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 (.f64 y x) (.f64 y (neg.f64 z))))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 x z)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (-.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))

Outputs
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z)))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z))) (.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z)) (.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z)) (.f64 (*.f64 1/2 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 -1))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) (*.f64 1/2 (/.f64 x (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z))) (+.f64 (.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z)))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 z 3)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z)) (fma.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z))) (.f64 -1/8 (.f64 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 z 3)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z)) (fma.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z))) (.f64 -1/8 (.f64 (*.f64 (/.f64 x (sqrt.f64 -1)) (/.f64 x -1)) (sqrt.f64 (/.f64 y (pow.f64 z 3)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z)) (fma.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z))) (.f64 (sqrt.f64 (/.f64 y (pow.f64 z 3))) (.f64 -1/8 (*.f64 (/.f64 x (sqrt.f64 -1)) (/.f64 x -1))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z))) (+.f64 (.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z)))) (+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 y (pow.f64 z 5))))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 z 3))))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z)) (fma.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 y (pow.f64 z 5)))) (.f64 -1/8 (.f64 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 z 3))))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z)) (fma.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z))) (fma.f64 -1/8 (.f64 (.f64 (/.f64 x (sqrt.f64 -1)) (/.f64 x -1)) (sqrt.f64 (/.f64 y (pow.f64 z 3)))) (.f64 1/16 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 y (pow.f64 z 5))))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y z)) (fma.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 y z))) (fma.f64 -1/8 (.f64 (.f64 (/.f64 x (sqrt.f64 -1)) (/.f64 x -1)) (sqrt.f64 (/.f64 y (pow.f64 z 3)))) (.f64 (sqrt.f64 (/.f64 y (pow.f64 z 5))) (/.f64 (.f64 1/16 (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5))))))
(sqrt.f64 (*.f64 y x))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y x)) z)) (sqrt.f64 (*.f64 y x)))
(fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 y x))) (sqrt.f64 (.f64 y x)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y x)) z)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 x 3))) (pow.f64 z 2))) (sqrt.f64 (*.f64 y x))))
(fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 y x))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 x 3))) (.f64 z z)) (sqrt.f64 (.f64 y x))))
(fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 y x))) (fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 (/.f64 y (pow.f64 x 3))))) (sqrt.f64 (.f64 y x))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y x)) z)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 x 3))) (pow.f64 z 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 y (pow.f64 x 5))) (pow.f64 z 3))) (sqrt.f64 (*.f64 y x)))))
(fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 y x))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 x 3))) (.f64 z z)) (fma.f64 -1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 y (pow.f64 x 5)))) (sqrt.f64 (*.f64 y x)))))
(fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 y x))) (fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 (/.f64 y (pow.f64 x 3))))) (fma.f64 -1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 y (pow.f64 x 5)))) (sqrt.f64 (*.f64 y x)))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y z))
(.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 y x) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y z)))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y z)) (.f64 (+.f64 (.f64 1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) z))) (.f64 -1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) z)))) (pow.f64 x 2))))
(fma.f64 y x (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y z) (.f64 (.f64 (/.f64 y (.f64 z (pow.f64 (sqrt.f64 -1) 2))) 0) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x 0)) (*.f64 y (-.f64 x z)))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 z 2)))) (.f64 -1/8 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 z 2))))) (pow.f64 x 3)) (+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y z)) (.f64 (+.f64 (.f64 1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) z))) (.f64 -1/4 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 -1) 2) z)))) (pow.f64 x 2)))))
(fma.f64 (.f64 (/.f64 y (.f64 (.f64 z z) (pow.f64 (sqrt.f64 -1) 4))) 0) (pow.f64 x 3) (fma.f64 y x (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y z) (.f64 (.f64 (/.f64 y (.f64 z (pow.f64 (sqrt.f64 -1) 2))) 0) (.f64 x x)))))
(fma.f64 (pow.f64 x 3) 0 (+.f64 (.f64 x (.f64 x 0)) (*.f64 y (-.f64 x z))))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 y x) (.f64 (+.f64 (.f64 1/4 (/.f64 y x)) (.f64 -1/4 (/.f64 y x))) (pow.f64 z 2))))
(+.f64 (.f64 y (-.f64 x z)) (.f64 (.f64 z z) (.f64 (/.f64 y x) 0)))
(fma.f64 y (-.f64 x z) (.f64 (.f64 0 z) z))
(fma.f64 y (-.f64 x z) (.f64 z (.f64 z 0)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/8 (/.f64 y (pow.f64 x 2))) (.f64 1/8 (/.f64 y (pow.f64 x 2))))) (+.f64 (.f64 y x) (.f64 (+.f64 (.f64 1/4 (/.f64 y x)) (*.f64 -1/4 (/.f64 y x))) (pow.f64 z 2)))))
(fma.f64 -1 (.f64 y z) (fma.f64 (pow.f64 z 3) (.f64 (/.f64 y (.f64 x x)) 0) (fma.f64 y x (.f64 (.f64 z z) (.f64 (/.f64 y x) 0)))))
(+.f64 (.f64 (pow.f64 z 3) 0) (fma.f64 y (-.f64 x z) (.f64 (*.f64 0 z) z)))
(+.f64 (.f64 (pow.f64 z 3) 0) (fma.f64 y (-.f64 x z) (.f64 z (*.f64 z 0))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))) 1)
(sqrt.f64 (*.f64 y (-.f64 x z)))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) 1)
(sqrt.f64 (*.f64 y (-.f64 x z)))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (pow.f64 1 1/2))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(.f64 1 (sqrt.f64 (.f64 y (-.f64 x z))))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4) (pow.f64 (*.f64 y (-.f64 x z)) 1/4))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 x z)))
(*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 y))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (*.f64 y (-.f64 x z))))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (fabs.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (fabs.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 y (-.f64 x z))))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (fabs.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (fabs.f64 (cbrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 1/4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z))))) (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4)) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 1/4))))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4)) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 1/4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z))))) (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z))))) (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z))))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4)) (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z))))) (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4)) (sqrt.f64 (cbrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z))))) (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4)) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 1/4))))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4)) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 1/4))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) 3/2))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(.f64 (pow.f64 (pow.f64 (.f64 y (-.f64 x z)) 3/2) 1/6) (pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3/2) 1/6))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3/2))
(/.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (.f64 x x) (*.f64 z z)))) (sqrt.f64 (+.f64 x z)))
(/.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (*.f64 (+.f64 z x) (-.f64 x z)))))
(.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (.f64 (-.f64 x z) (+.f64 z x))))
(/.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))
(/.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 z x)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))))
(.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 z x))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))))
(.f64 (/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (neg.f64 z) 3/2)) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 z x))))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (*.f64 z z))) (sqrt.f64 y)) (sqrt.f64 (+.f64 x z)))
(/.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (*.f64 (+.f64 z x) (-.f64 x z)))))
(.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (.f64 (-.f64 x z) (+.f64 z x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (sqrt.f64 y)) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))
(/.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 z x)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))))
(.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 z x))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))))
(.f64 (/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (neg.f64 z) 3/2)) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 z x))))) (sqrt.f64 y))
(pow.f64 (*.f64 y (-.f64 x z)) 1/2)
(sqrt.f64 (*.f64 y (-.f64 x z)))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 1)
(sqrt.f64 (*.f64 y (-.f64 x z)))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 1/4) 2)
(sqrt.f64 (*.f64 y (-.f64 x z)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) 3)
(sqrt.f64 (*.f64 y (-.f64 x z)))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(sqrt.f64 (*.f64 y (-.f64 x z)))
(+.f64 (.f64 y (-.f64 x z)) (.f64 y (fma.f64 (neg.f64 z) 1 z)))
(*.f64 y (+.f64 (-.f64 x z) (fma.f64 (neg.f64 z) 1 z)))
(*.f64 y (+.f64 (-.f64 x z) (+.f64 z (neg.f64 z))))
(*.f64 y (+.f64 (+.f64 (-.f64 x z) z) (neg.f64 z)))
(+.f64 (.f64 y (-.f64 x z)) (.f64 y (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)))
(*.f64 y (+.f64 (-.f64 x z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)))
(+.f64 (.f64 y (-.f64 x z)) (.f64 y (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)))
(*.f64 y (+.f64 (-.f64 x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)))
(+.f64 (.f64 y (-.f64 x z)) (.f64 (fma.f64 (neg.f64 z) 1 z) y))
(*.f64 y (+.f64 (-.f64 x z) (fma.f64 (neg.f64 z) 1 z)))
(*.f64 y (+.f64 (-.f64 x z) (+.f64 z (neg.f64 z))))
(*.f64 y (+.f64 (+.f64 (-.f64 x z) z) (neg.f64 z)))
(+.f64 (.f64 y (-.f64 x z)) (.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z) y))
(*.f64 y (+.f64 (-.f64 x z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)))
(+.f64 (.f64 y (-.f64 x z)) (.f64 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z) y))
(*.f64 y (+.f64 (-.f64 x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)))
(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y (neg.f64 z)) (.f64 y x))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 1 (.f64 y x)) (.f64 1 (.f64 y (neg.f64 z))))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 (.f64 y x) 1) (.f64 (.f64 y (neg.f64 z)) 1))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) 1)
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 (-.f64 x z) y)
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (.f64 y (-.f64 x z)) 1)
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 1 (.f64 y (-.f64 x z)))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (.f64 y (-.f64 x z)) 1/4) (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (*.f64 y (-.f64 x z)) 1/4)))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (sqrt.f64 (-.f64 x z)) (.f64 y (sqrt.f64 (-.f64 x z))))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (sqrt.f64 (-.f64 x z)) (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 y)))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (-.f64 x z))))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 y)))
(.f64 (sqrt.f64 (-.f64 x z)) (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 y)))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2) (cbrt.f64 (*.f64 y (-.f64 x z))))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) 4))
(.f64 (cbrt.f64 (-.f64 x z)) (.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) 2))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 x z) 2)) (.f64 y (cbrt.f64 (-.f64 x z))))
(.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (pow.f64 (-.f64 x z) 2))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 x z) 2)) (.f64 y (cbrt.f64 (-.f64 x z))))
(.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (pow.f64 (-.f64 x z) 2))))
(.f64 (cbrt.f64 y) (.f64 (-.f64 x z) (cbrt.f64 (*.f64 y y))))
(.f64 (-.f64 x z) (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (-.f64 x z) (cbrt.f64 y)))
(.f64 (-.f64 x z) (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (.f64 y (-.f64 x z)) 1/4)) (pow.f64 (*.f64 y (-.f64 x z)) 1/4))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) 2))) (cbrt.f64 (-.f64 x z)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 x z) 2)) (.f64 y (cbrt.f64 (-.f64 x z))))
(.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (pow.f64 (-.f64 x z) 2))))
(.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (.f64 (-.f64 x z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(.f64 (-.f64 x z) (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(.f64 (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 y)) (sqrt.f64 (-.f64 x z)))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 y)))
(.f64 (sqrt.f64 (-.f64 x z)) (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) 4))
(.f64 (.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(.f64 (-.f64 x z) (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(.f64 (.f64 y (cbrt.f64 (-.f64 x z))) (cbrt.f64 (pow.f64 (-.f64 x z) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 x z) 2)) (.f64 y (cbrt.f64 (-.f64 x z))))
(.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (pow.f64 (-.f64 x z) 2))))
(.f64 (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (-.f64 x z))) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 y)))
(.f64 (sqrt.f64 (-.f64 x z)) (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z))))) (cbrt.f64 (*.f64 y (-.f64 x z))))
(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z)))) 4))
(.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) (.f64 z z))) (-.f64 (.f64 x x) (.f64 z z))) (-.f64 x z))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) (.f64 z z))) (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 x x) (.f64 z (-.f64 z x))))
(.f64 (/.f64 y (/.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (.f64 (+.f64 z x) (-.f64 x z)))) (fma.f64 x x (*.f64 z (-.f64 z x))))
(.f64 (/.f64 y (/.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (.f64 (-.f64 x z) (+.f64 z x)))) (fma.f64 z (-.f64 z x) (*.f64 x x)))
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 z (+.f64 x z)) 2))) (-.f64 (.f64 x x) (*.f64 z (+.f64 x z))))
(.f64 (/.f64 y (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 z (+.f64 z x)) 2)) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (-.f64 (.f64 x x) (.f64 z (+.f64 z x))))
(.f64 (.f64 (/.f64 y (-.f64 (pow.f64 x 4) (pow.f64 (.f64 z (+.f64 z x)) 2))) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (-.f64 (.f64 x x) (*.f64 z (+.f64 z x))))
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 z (+.f64 x z)) 3))) (+.f64 (pow.f64 x 4) (.f64 (.f64 z (+.f64 x z)) (-.f64 (.f64 z (+.f64 x z)) (.f64 x x)))))
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 z (+.f64 z x)) 3))) (+.f64 (pow.f64 x 4) (.f64 z (.f64 (+.f64 z x) (-.f64 (.f64 z (+.f64 z x)) (.f64 x x))))))
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (pow.f64 x 6) (pow.f64 (.f64 z (+.f64 z x)) 3))) (fma.f64 z (.f64 (+.f64 z x) (-.f64 (.f64 z (+.f64 z x)) (.f64 x x))) (pow.f64 x 4)))
(/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 z (+.f64 z x)) 3)) (fma.f64 (.f64 z (+.f64 z x)) (-.f64 (.f64 z (+.f64 z x)) (*.f64 x x)) (pow.f64 x 4))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (*.f64 y (-.f64 x z)))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 y (-.f64 x z)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (*.f64 y (-.f64 x z)))))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2)) (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 x z))))))
(.f64 (.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 x z))))) (.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (cbrt.f64 (*.f64 y (-.f64 x z))))))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 x z))) 3/2) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 3/2))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(.f64 (pow.f64 (pow.f64 (.f64 y (-.f64 x z)) 2) 1/4) (pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) 1/4))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) 1/2)
(fabs.f64 (*.f64 y (-.f64 x z)))
(.f64 (pow.f64 (pow.f64 (.f64 y (-.f64 x z)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/6))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(/.f64 y (/.f64 1 (-.f64 x z)))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(/.f64 (-.f64 (.f64 x x) (.f64 z z)) (/.f64 (+.f64 x z) y))
(.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) y)
(.f64 y (/.f64 (.f64 (-.f64 x z) (+.f64 z x)) (+.f64 z x)))
(.f64 (/.f64 y (+.f64 z x)) (.f64 (-.f64 x z) (+.f64 z x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))) y)
(.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))))
(.f64 (/.f64 y (fma.f64 x x (.f64 z (+.f64 z x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
(.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) y)
(.f64 y (/.f64 (.f64 (-.f64 x z) (+.f64 z x)) (+.f64 z x)))
(.f64 (/.f64 y (+.f64 z x)) (.f64 (-.f64 x z) (+.f64 z x)))
(/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (.f64 z (+.f64 x z))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))) y)
(.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))))
(.f64 (/.f64 y (fma.f64 x x (.f64 z (+.f64 z x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 z) 3))) (+.f64 (.f64 x x) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))) y))
(.f64 (/.f64 y (-.f64 (.f64 x x) (*.f64 (+.f64 z x) (neg.f64 z)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(.f64 (/.f64 y (fma.f64 x x (+.f64 0 (.f64 z (+.f64 z x))))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (.f64 y (.f64 (neg.f64 (+.f64 x z)) (-.f64 x z))) (neg.f64 (+.f64 x z)))
(/.f64 y (/.f64 (neg.f64 (+.f64 z x)) (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z)))))
(/.f64 (.f64 y (+.f64 (neg.f64 (.f64 x x)) (*.f64 z z))) (-.f64 (neg.f64 z) x))
(.f64 (/.f64 y (-.f64 (neg.f64 z) x)) (neg.f64 (.f64 (-.f64 x z) (+.f64 z x))))
(/.f64 (.f64 y (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (/.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 z x)))) y))
(/.f64 y (.f64 1 (/.f64 (fma.f64 x x (.f64 z (+.f64 z x))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))))
(/.f64 (.f64 1 (.f64 y (-.f64 (.f64 x x) (.f64 z z)))) (+.f64 x z))
(.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) y)
(.f64 y (/.f64 (.f64 (-.f64 x z) (+.f64 z x)) (+.f64 z x)))
(.f64 (/.f64 y (+.f64 z x)) (.f64 (-.f64 x z) (+.f64 z x)))
(/.f64 (.f64 1 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))) y)
(.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))))
(.f64 (/.f64 y (fma.f64 x x (.f64 z (+.f64 z x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 z z)))) (sqrt.f64 (+.f64 x z)))
(/.f64 (sqrt.f64 (.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (sqrt.f64 (+.f64 z x)) (.f64 y (sqrt.f64 (-.f64 x z)))))
(/.f64 y (/.f64 (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (*.f64 (-.f64 x z) (+.f64 z x)))) (sqrt.f64 (-.f64 x z))))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x z) (+.f64 z x))) (sqrt.f64 (+.f64 z x))) (*.f64 y (sqrt.f64 (-.f64 x z))))
(/.f64 (.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (/.f64 (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 z x)))) (.f64 y (sqrt.f64 (-.f64 x z)))))
(.f64 (/.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 z x))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))))
(.f64 (/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (neg.f64 z) 3/2)) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 z x))))) (*.f64 y (sqrt.f64 (-.f64 x z))))
(/.f64 (.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) 2))) (cbrt.f64 (-.f64 (.f64 x x) (.f64 z z)))) (cbrt.f64 (+.f64 x z)))
(/.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) 2))) (/.f64 (cbrt.f64 (+.f64 z x)) (cbrt.f64 (.f64 (+.f64 z x) (-.f64 x z)))))
(.f64 (/.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) 2))) (cbrt.f64 (+.f64 z x))) (cbrt.f64 (*.f64 (-.f64 x z) (+.f64 z x))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 x z) 2)) (.f64 y (cbrt.f64 (*.f64 (-.f64 x z) (+.f64 z x))))) (cbrt.f64 (+.f64 z x)))
(/.f64 (.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) 2))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (.f64 y (.f64 (cbrt.f64 (pow.f64 (-.f64 x z) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))))) (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 z x)))))
(.f64 (/.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) 2))) (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 z x))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))))
(.f64 (/.f64 y (cbrt.f64 (fma.f64 x x (.f64 z (+.f64 z x))))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 x z) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 y)) (sqrt.f64 (-.f64 (.f64 x x) (*.f64 z z)))) (sqrt.f64 (+.f64 x z)))
(/.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (*.f64 (+.f64 z x) (-.f64 x z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (*.f64 (-.f64 x z) (+.f64 z x)))))
(.f64 (.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (.f64 (-.f64 x z) (+.f64 z x)))) (sqrt.f64 (.f64 y (-.f64 x z))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 y)) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 z x)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (/.f64 (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 z x)))) (.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 y))))
(.f64 (.f64 (/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (neg.f64 z) 3/2)) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 z x))))) (sqrt.f64 y)) (sqrt.f64 (.f64 y (-.f64 x z))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 z) 3)) y) (+.f64 (.f64 x x) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))) y))
(.f64 (/.f64 y (-.f64 (.f64 x x) (*.f64 (+.f64 z x) (neg.f64 z)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(.f64 (/.f64 y (fma.f64 x x (+.f64 0 (.f64 z (+.f64 z x))))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (.f64 (.f64 (neg.f64 (+.f64 x z)) (-.f64 x z)) y) (neg.f64 (+.f64 x z)))
(/.f64 y (/.f64 (neg.f64 (+.f64 z x)) (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z)))))
(/.f64 (.f64 y (+.f64 (neg.f64 (.f64 x x)) (*.f64 z z))) (-.f64 (neg.f64 z) x))
(.f64 (/.f64 y (-.f64 (neg.f64 z) x)) (neg.f64 (.f64 (-.f64 x z) (+.f64 z x))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) y) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (/.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 z x)))) y))
(/.f64 y (.f64 1 (/.f64 (fma.f64 x x (.f64 z (+.f64 z x))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))))
(/.f64 (.f64 (.f64 y (-.f64 (.f64 x x) (.f64 z z))) 1) (+.f64 x z))
(.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) y)
(.f64 y (/.f64 (.f64 (-.f64 x z) (+.f64 z x)) (+.f64 z x)))
(.f64 (/.f64 y (+.f64 z x)) (.f64 (-.f64 x z) (+.f64 z x)))
(/.f64 (.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) 1) (fma.f64 x x (*.f64 z (+.f64 x z))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))) y)
(.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))))
(.f64 (/.f64 y (fma.f64 x x (.f64 z (+.f64 z x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (+.f64 x z)))
(/.f64 (sqrt.f64 (.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (sqrt.f64 (+.f64 z x)) (.f64 y (sqrt.f64 (-.f64 x z)))))
(/.f64 y (/.f64 (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (*.f64 (-.f64 x z) (+.f64 z x)))) (sqrt.f64 (-.f64 x z))))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x z) (+.f64 z x))) (sqrt.f64 (+.f64 z x))) (*.f64 y (sqrt.f64 (-.f64 x z))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (.f64 y (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (/.f64 (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 z x)))) (.f64 y (sqrt.f64 (-.f64 x z)))))
(.f64 (/.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 z x))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))))
(.f64 (/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (neg.f64 z) 3/2)) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 z x))))) (*.f64 y (sqrt.f64 (-.f64 x z))))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) 1) (+.f64 x z))
(.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) y)
(.f64 y (/.f64 (.f64 (-.f64 x z) (+.f64 z x)) (+.f64 z x)))
(.f64 (/.f64 y (+.f64 z x)) (.f64 (-.f64 x z) (+.f64 z x)))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 x z)))
(.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) y)
(.f64 y (/.f64 (.f64 (-.f64 x z) (+.f64 z x)) (+.f64 z x)))
(.f64 (/.f64 y (+.f64 z x)) (.f64 (-.f64 x z) (+.f64 z x)))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) (.f64 z z))) (.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 (+.f64 x z)))) (cbrt.f64 (+.f64 x z)))
(.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) y)
(.f64 y (/.f64 (.f64 (-.f64 x z) (+.f64 z x)) (+.f64 z x)))
(.f64 (/.f64 y (+.f64 z x)) (.f64 (-.f64 x z) (+.f64 z x)))
(/.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) 1) (fma.f64 x x (.f64 z (+.f64 x z))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))) y)
(.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))))
(.f64 (/.f64 y (fma.f64 x x (.f64 z (+.f64 z x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (sqrt.f64 (fma.f64 x x (.f64 z (+.f64 x z))))) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))) y)
(.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))))
(.f64 (/.f64 y (fma.f64 x x (.f64 z (+.f64 z x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) (cbrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))) (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))) y)
(.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (.f64 z (+.f64 z x)))))
(.f64 (/.f64 y (fma.f64 x x (.f64 z (+.f64 z x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 (.f64 y x) (.f64 y (neg.f64 z))))
(/.f64 (.f64 (.f64 y (-.f64 x z)) (.f64 y (-.f64 x (neg.f64 z)))) (.f64 y (-.f64 x (neg.f64 z))))
(/.f64 (.f64 (.f64 y y) (.f64 (-.f64 x z) (+.f64 z x))) (fma.f64 y x (.f64 y z)))
(.f64 (/.f64 (.f64 y (-.f64 x z)) y) (/.f64 (*.f64 y (+.f64 z x)) (+.f64 z x)))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) 1/2)
(fabs.f64 (*.f64 y (-.f64 x z)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x z)) y))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 x z)))))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(exp.f64 (log.f64 (*.f64 y (-.f64 x z))))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))
(fma.f64 y x (.f64 (.f64 y z) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 x z))

eval57.0ms (1.7%)

Compiler: Compiled 4987 to 1899 computations (61.9% saved)

prune41.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	263	1	264
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	264	4	268

Error

Counts

268 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	70.65%	(pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2)
✓	0.01%	(*.f64 y (-.f64 x z))
✓	43.12%	(*.f64 y (neg.f64 z))
✓	50.43%	(*.f64 y x)

Compiler

Compiled 31 to 22 computations (29% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.32%	(pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2)
✓	13.42%	(sqrt.f64 (*.f64 y (neg.f64 z)))

Compiler

Compiled 24 to 9 computations (62.5% saved)

series7.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

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

rewrite57.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`add-sqr-sqrt`
1450×	`*-un-lft-identity`
1350×	`add-cube-cbrt`
1334×	`add-cbrt-cube`
1318×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	206	18
2	2224	18

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) 1/4) (*.f64 (pow.f64 (*.f64 y z) 1/4) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (*.f64 y z) 1/4)) (pow.f64 (*.f64 y z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y z)))))))

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-+r+`
1254×	`distribute-lft-in`
1190×	`distribute-rgt-in`
1184×	`associate-+l+`
784×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1262
1	251	984
2	941	730
3	3228	730

Stop Event

1×	node limit

Counts

58 → 70

Calls

Call 1

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

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

eval10.0ms (0.3%)

Compiler: Compiled 604 to 246 computations (59.3% saved)

prune10.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	70	4	74

Error

Counts

74 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	70.65%	(pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2)
✓	0.01%	(*.f64 y (-.f64 x z))
✓	43.12%	(*.f64 y (neg.f64 z))
✓	50.43%	(*.f64 y x)

Compiler

Compiled 31 to 22 computations (29% saved)

regimes21.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
5.0ms	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
5.0ms	y
5.0ms	z

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`y`
0.01%	1	`z`
0.01%	1	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`

Compiler

Compiled 75 to 38 computations (49.3% saved)

regimes42.0ms (1.2%)

Accuracy

Total -45.7b remaining (-361.2%)

Threshold costs -45.7b (-361.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	z
16.0ms	y
9.0ms	x

Results

Error	Segments	Branch
19.75%	3	`x`
33.6%	6	`y`
22.1%	5	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch36.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.324378696836385e-25	1.13355442628202e-12
14.0ms	-1.7456244387707292e-22	-2.029833606989258e-23

Results

20.0ms	199×	body	256	valid
9.0ms	38×	body	1024	valid
3.0ms	18×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 264 to 190 computations (28% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
8×	`+-commutative`
6×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	63
1	35	63
2	43	63
3	49	63
4	52	63
5	53	63

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -616761790044201/21267647932558653966460912964485513216) (*.f64 y x) (if (<=.f64 x 3530761863803683/5192296858534827628530496329220096) (*.f64 y (neg.f64 z)) (*.f64 y x)))

(*.f64 y x)

Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 x -616761790044201/21267647932558653966460912964485513216) (.f64 y x) (if (<=.f64 x 3530761863803683/5192296858534827628530496329220096) (.f64 y (neg.f64 z)) (*.f64 y x)))
(if (<=.f64 x -616761790044201/21267647932558653966460912964485513216) (.f64 y x) (if (<=.f64 x 3530761863803683/5192296858534827628530496329220096) (neg.f64 (.f64 y z)) (*.f64 y x)))
(*.f64 y x)

Compiler

Compiled 35 to 21 computations (40% saved)

soundness271.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

1478×	`distribute-lft-out`
1172×	`*-commutative`
910×	`distribute-lft-in`
908×	`associate--l-`
804×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	32	31
2	106	25
3	280	13
4	759	13
5	2426	13
6	5456	13
7	5897	13
8	6371	13
9	6925	13
10	7015	13
11	7572	13

Stop Event

1×	node limit

Compiler

Compiled 106 to 26 computations (75.5% saved)

end20.0ms (0.6%)

Compiler: Compiled 29 to 14 computations (51.7% saved)

Details

analyze356.0ms (10.6%)

sample1.9s (55.6%)

preprocess59.0ms (1.7%)

simplify120.0ms (3.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite52.0ms (1.5%)

simplify60.0ms (1.8%)

eval4.0ms (0.1%)

prune7.0ms (0.2%)

localize3.0ms (0.1%)

localize4.0ms (0.1%)

localize8.0ms (0.2%)

series15.0ms (0.4%)

rewrite73.0ms (2.2%)

simplify87.0ms (2.6%)

eval57.0ms (1.7%)

prune41.0ms (1.2%)

localize8.0ms (0.3%)

series7.0ms (0.2%)

rewrite57.0ms (1.7%)

simplify53.0ms (1.6%)

eval10.0ms (0.3%)

prune10.0ms (0.3%)

regimes21.0ms (0.6%)

regimes42.0ms (1.2%)

bsearch36.0ms (1.1%)

simplify6.0ms (0.2%)

soundness271.0ms (8.1%)

end20.0ms (0.6%)

Profiling