Details

analyze257.0ms (7.2%)

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)

sample2.1s (57.8%)

Results

1.1s	6292×	body	256	valid
293.0ms	1681×	body	256	infinite
224.0ms	890×	body	1024	valid
200.0ms	515×	body	2048	valid
134.0ms	559×	body	512	valid
55.0ms	274×	body	512	infinite
48.0ms	196×	body	1024	infinite

Bogosity

preprocess55.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1480×	`distribute-lft-out--`
1336×	`*-commutative`
1130×	`+-commutative`
766×	`associate-l`
706×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	172
1	85	76
2	345	52
3	885	52
4	3608	52
5	7446	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 z)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 y x) (.f64 x z)) (.f64 x x)) (.f64 x x))
(+.f64 (-.f64 (-.f64 (.f64 z y) (.f64 y x)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 x z) (.f64 z y)) (.f64 z z)) (.f64 z z))

Outputs
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 x z)) 0)
(*.f64 y (-.f64 x z))
(+.f64 (-.f64 (-.f64 (.f64 y x) (.f64 x z)) (.f64 x x)) (.f64 x x))
(+.f64 (.f64 x x) (-.f64 (.f64 x y) (+.f64 (.f64 x z) (.f64 x x))))
(+.f64 (*.f64 x (-.f64 y z)) 0)
(*.f64 x (-.f64 y z))
(+.f64 (-.f64 (-.f64 (.f64 z y) (.f64 y x)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (.f64 y z) (+.f64 (.f64 x y) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 z x)) 0)
(*.f64 y (-.f64 z x))
(+.f64 (-.f64 (-.f64 (.f64 x z) (.f64 z y)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (-.f64 (.f64 x z) (+.f64 (.f64 y z) (.f64 z z))))
(+.f64 (*.f64 z (-.f64 x y)) 0)
(*.f64 z (-.f64 x y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify101.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1048×	`distribute-lft-out`
988×	`+-commutative`
970×	`distribute-lft-out--`
926×	`*-commutative`
668×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	30	19
2	102	13
3	259	13
4	896	13
5	3549	13
6	5584	13
7	6371	13
8	6634	13
9	6747	13
10	6792	13

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

Outputs
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (.f64 x y) (+.f64 (.f64 y z) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) 0)
(*.f64 y (-.f64 x z))

eval1.0ms (0%)

Compiler: Compiled 45 to 16 computations (64.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite68.0ms (1.9%)

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))))))))

simplify64.0ms (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)

prune5.0ms (0.1%)

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
▶	33.4b	(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)
✓	0.0b	(*.f64 y (-.f64 x z))
▶	24.5b	(*.f64 y (neg.f64 z))
▶	35.4b	(*.f64 y x)

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize5.0ms (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
	0.0b	(*.f64 y (-.f64 x z))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)
✓	2.8b	(sqrt.f64 (*.f64 y (-.f64 x z)))

Compiler

Compiled 29 to 9 computations (69% saved)

series21.0ms (0.6%)

Counts

2 → 16

Calls

18 calls:

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

rewrite73.0ms (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
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Outputs

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(#(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))))))))

simplify123.0ms (3.5%)

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))))
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eval100.0ms (2.8%)

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

prune41.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Error

Counts

268 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.4b	(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)
✓	0.0b	(*.f64 y (-.f64 x z))
✓	24.5b	(*.f64 y (neg.f64 z))
✓	35.4b	(*.f64 y x)

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes18.0ms (0.5%)

Counts

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

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

Calls

4 calls:

5.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

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

Compiler

Compiled 68 to 35 computations (48.5% saved)

regimes53.0ms (1.5%)

Accuracy

Total -47.8b remaining (-441.7%)

Threshold costs -47.8b (-441.7%)

Counts

2 → 7

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	x
22.0ms	y
9.0ms	z

Results

Error	Segments	Branch
10.8b	7	`x`
19.4b	7	`y`
12.1b	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch215.0ms (6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
21.0ms	2.906542656755103e+60	1.828718109373026e+69
51.0ms	1.9193282091064628e+39	2.0529308493929845e+46
39.0ms	2.4887279143242055e-23	2.5965671903710993e-20
21.0ms	-9.897424207347854e-14	-5.921938484591736e-20
48.0ms	-8.080390207268639e+23	-11288806655591226.0
35.0ms	-4.9414937975061455e+88	-7.439937513576324e+82

Results

146.0ms	690×	body	256	valid
39.0ms	78×	body	1024	valid
12.0ms	70×	body	512	valid
4.0ms	18×	body	1024	infinite
3.0ms	10×	body	2048	valid
1.0ms	5×	body	512	infinite

Compiler

Compiled 819 to 597 computations (27.1% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`not-or`
16×	`*-commutative`
14×	`not-not`
14×	`if-not`
10×	`if-if-or-not`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	135
1	47	131
2	58	131
3	70	123
4	80	123
5	91	119
6	98	119
7	103	119
8	105	119
9	106	119

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -2750000000000000212778070554119995521036514773553437724293903968976603880753763188736) (*.f64 y x) (if (<=.f64 x -7800000000000000000000) (*.f64 y (neg.f64 z)) (if (<=.f64 x -7479138541346553/633825300114114700748351602688) (*.f64 y x) (if (<=.f64 x 6114448780610613/664613997892457936451903530140172288) (*.f64 y (neg.f64 z)) (if (<=.f64 x 3899999999999999947892282235628795019653021696) (*.f64 y x) (if (<=.f64 x 5600000000000000287467034745998458078310799841473150962368512) (*.f64 y (neg.f64 z)) (*.f64 y x)))))))

(*.f64 y x)

Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 x -2750000000000000212778070554119995521036514773553437724293903968976603880753763188736) (.f64 y x) (if (<=.f64 x -7800000000000000000000) (.f64 y (neg.f64 z)) (if (<=.f64 x -7479138541346553/633825300114114700748351602688) (.f64 y x) (if (<=.f64 x 6114448780610613/664613997892457936451903530140172288) (.f64 y (neg.f64 z)) (if (<=.f64 x 3899999999999999947892282235628795019653021696) (.f64 y x) (if (<=.f64 x 5600000000000000287467034745998458078310799841473150962368512) (.f64 y (neg.f64 z)) (*.f64 y x)))))))
(if (<=.f64 x -2750000000000000212778070554119995521036514773553437724293903968976603880753763188736) (.f64 y x) (if (<=.f64 x -7800000000000000000000) (.f64 y (neg.f64 z)) (if (<=.f64 x -7479138541346553/633825300114114700748351602688) (.f64 y x) (if (or (<=.f64 x 6114448780610613/664613997892457936451903530140172288) (not (or (<=.f64 x 3899999999999999947892282235628795019653021696) (not (<=.f64 x 5600000000000000287467034745998458078310799841473150962368512))))) (.f64 y (neg.f64 z)) (*.f64 y x)))))
(if (<=.f64 x -2750000000000000212778070554119995521036514773553437724293903968976603880753763188736) (.f64 y x) (if (or (<=.f64 x -7800000000000000000000) (not (or (<=.f64 x -7479138541346553/633825300114114700748351602688) (not (or (<=.f64 x 6114448780610613/664613997892457936451903530140172288) (and (not (<=.f64 x 3899999999999999947892282235628795019653021696)) (<=.f64 x 5600000000000000287467034745998458078310799841473150962368512))))))) (.f64 y (neg.f64 z)) (*.f64 y x)))
(if (<=.f64 x -2750000000000000212778070554119995521036514773553437724293903968976603880753763188736) (.f64 y x) (if (or (<=.f64 x -7800000000000000000000) (not (or (<=.f64 x -7479138541346553/633825300114114700748351602688) (and (not (<=.f64 x 6114448780610613/664613997892457936451903530140172288)) (or (<=.f64 x 3899999999999999947892282235628795019653021696) (not (<=.f64 x 5600000000000000287467034745998458078310799841473150962368512))))))) (.f64 y (neg.f64 z)) (*.f64 y x)))
(if (<=.f64 x -2750000000000000212778070554119995521036514773553437724293903968976603880753763188736) (.f64 y x) (if (or (<=.f64 x -7800000000000000000000) (and (not (<=.f64 x -7479138541346553/633825300114114700748351602688)) (or (<=.f64 x 6114448780610613/664613997892457936451903530140172288) (and (not (<=.f64 x 3899999999999999947892282235628795019653021696)) (<=.f64 x 5600000000000000287467034745998458078310799841473150962368512))))) (neg.f64 (.f64 y z)) (*.f64 y x)))
(*.f64 y x)

Compiler

Compiled 53 to 35 computations (34% saved)

soundness223.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

1048×	`distribute-lft-out`
988×	`+-commutative`
970×	`distribute-lft-out--`
926×	`*-commutative`
668×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	30	19
2	102	13
3	259	13
4	896	13
5	3549	13
6	5584	13
7	6371	13
8	6634	13
9	6747	13
10	6792	13

Stop Event

1×	node limit

Compiler

Compiled 61 to 17 computations (72.1% saved)

end47.0ms (1.3%)

Compiler: Compiled 47 to 28 computations (40.4% saved)

Iter	Nodes	Cost
0	32	135
1	47	131
2	58	131
3	70	123
4	80	123
5	91	119
6	98	119
7	103	119
8	105	119
9	106	119

Iter	Nodes	Cost
0	32	135
1	47	131
2	58	131
3	70	123
4	80	123
5	91	119
6	98	119
7	103	119
8	105	119
9	106	119

Details

analyze257.0ms (7.2%)

sample2.1s (57.8%)

preprocess55.0ms (1.5%)

simplify101.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite68.0ms (1.9%)

simplify64.0ms (1.8%)

eval4.0ms (0.1%)

prune5.0ms (0.1%)

localize5.0ms (0.1%)

localize4.0ms (0.1%)

localize8.0ms (0.2%)

series21.0ms (0.6%)

rewrite73.0ms (2%)

simplify123.0ms (3.5%)

eval100.0ms (2.8%)

prune41.0ms (1.2%)

regimes18.0ms (0.5%)

regimes53.0ms (1.5%)

bsearch215.0ms (6%)

simplify9.0ms (0.2%)

soundness223.0ms (6.3%)

end47.0ms (1.3%)

Profiling

Iter	Nodes	Cost
0	32	135
1	47	131
2	58	131
3	70	123
4	80	123
5	91	119
6	98	119
7	103	119
8	105	119
9	106	119