Details

analyze329.0ms (9.2%)

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
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
36.4%	34.3%	60.1%	0.1%	5.5%	0%	0%	10
44.5%	41.3%	51.5%	0.1%	7%	0%	0%	11
51.5%	46.8%	44.1%	0.1%	9%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.2s (32.6%)

Results

982.0ms	8256×	body	256	valid
177.0ms	1281×	body	256	infinite

Bogosity

preprocess119.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

1510×	`fma-neg`
908×	`fma-def`
308×	`cancel-sign-sub-inv`
260×	`sub-neg`
244×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	84
1	48	84
2	92	84
3	156	84
4	342	68
5	685	60
6	1151	60
7	1880	60
8	2504	60
9	2797	60
10	2872	60
11	2873	60
12	2873	60
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify46.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-def`
142×	`fma-neg`
90×	`cancel-sign-sub-inv`
84×	`sub-neg`
76×	`associate--r+`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	20	21
2	33	21
3	60	21
4	129	17
5	221	15
6	351	15
7	564	15
8	976	15
9	1164	15
10	1223	15
11	1233	15

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 41 to 19 computations (53.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Accurracy

100.0%

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (-.f64 z y) y)
▶	100.0%	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize11.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite71.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`log-prod`
872×	`prod-exp`
838×	`fma-def`
774×	`pow-prod-down`
498×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	213	21
2	2899	21

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

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

simplify83.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1104×	`div-sub`
956×	`fma-def`
862×	`fma-neg`
494×	`distribute-lft-in`
472×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	3016
1	473	2660
2	1272	2608
3	5070	2314

Stop Event

1×	node limit

Counts

108 → 103

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (-.f64 z y) y)

Compiler

Compiled 15 to 5 computations (66.7% saved)

series11.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	(fma.f64 x (-.f64 z y) y)
1.0ms	x	@	-inf	(fma.f64 x (-.f64 z y) y)
0.0ms	y	@	-inf	(fma.f64 x (-.f64 z y) y)
0.0ms	x	@	0	(fma.f64 x (-.f64 z y) y)
0.0ms	z	@	-inf	(fma.f64 x (-.f64 z y) y)

rewrite59.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`pow1`
1702×	`add-exp-log`
1702×	`log1p-expm1-u`
1702×	`expm1-log1p-u`
1666×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	169	15
2	2252	15

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1002×	`times-frac`
764×	`associate-r`
690×	`associate-l`
644×	`associate-+r+`
608×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	897
1	186	885
2	658	873
3	3859	873

Stop Event

1×	node limit

Counts

57 → 38

Calls

Call 1

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

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

eval33.0ms (0.9%)

Compiler: Compiled 2048 to 971 computations (52.6% saved)

prune22.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	136	5	141
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	137	6	143

Accurracy

100.0%

Counts

143 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.4%	(-.f64 y (*.f64 y x))
▶	100.0%	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	100.0%	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
▶	60.6%	(*.f64 (-.f64 z y) x)
▶	44.4%	(*.f64 z x)
	41.3%	y

Compiler

Compiled 48 to 31 computations (35.4% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 z y) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite57.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`pow1`
1520×	`add-exp-log`
1520×	`log1p-expm1-u`
1520×	`expm1-log1p-u`
1488×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	2025	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1400×	`fma-def`
1296×	`log-prod`
792×	`unsub-neg`
756×	`associate-r`
636×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	611
1	162	611
2	514	611
3	3087	611
4	6410	611

Stop Event

1×	node limit

Counts

43 → 31

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(*.f64 (-.f64 z y) x)

Compiler

Compiled 21 to 6 computations (71.4% saved)

localize5.0ms (0.2%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

eval19.0ms (0.5%)

Compiler: Compiled 677 to 244 computations (64% saved)

prune10.0ms (0.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	60	8	68

Accurracy

100.0%

Counts

68 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.4%	(-.f64 y (*.f64 y x))
✓	100.0%	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	100.0%	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
▶	82.5%	(+.f64 (*.f64 z x) y)
✓	60.6%	(*.f64 (-.f64 z y) x)
✓	44.4%	(*.f64 z x)
▶	19.2%	(*.f64 y (neg.f64 x))
	41.3%	y

Compiler

Compiled 63 to 41 computations (34.9% saved)

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 z x) y)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite57.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`pow1`
1502×	`add-exp-log`
1502×	`log1p-expm1-u`
1502×	`expm1-log1p-u`
1472×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	9
2	2040	9

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1364×	`fma-neg`
946×	`associate-r`
916×	`associate-l`
694×	`div-sub`
640×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1034
1	217	804
2	706	624
3	4431	624

Stop Event

1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

eval38.0ms (1.1%)

Compiler: Compiled 520 to 196 computations (62.3% saved)

prune8.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	43	8	51

Accurracy

100.0%

Counts

51 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.4%	(-.f64 y (*.f64 y x))
✓	100.0%	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	100.0%	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
✓	82.5%	(+.f64 (*.f64 z x) y)
✓	60.6%	(*.f64 (-.f64 z y) x)
✓	44.4%	(*.f64 z x)
✓	19.2%	(*.f64 y (neg.f64 x))
	41.3%	y

Compiler

Compiled 63 to 41 computations (34.9% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Accurracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.4%	(-.f64 y (*.f64 y x))
✓	100.0%	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	100.0%	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
✓	82.5%	(+.f64 (*.f64 z x) y)
✓	60.6%	(*.f64 (-.f64 z y) x)
✓	44.4%	(*.f64 z x)
✓	19.2%	(*.f64 y (neg.f64 x))
	41.3%	y

Compiler

Compiled 63 to 41 computations (34.9% saved)

regimes25.0ms (0.7%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	y
6.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
5.0ms	x
5.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))`

Compiler

Compiled 72 to 35 computations (51.4% saved)

regimes91.0ms (2.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	y
21.0ms	z
14.0ms	x

Results

Accuracy	Segments	Branch
98.4%	3	`x`
89.8%	5	`y`
92.0%	3	`z`

Compiler

Compiled 38 to 20 computations (47.4% saved)

bsearch30.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.669436060136559e-5	0.3199783944679285
17.0ms	-14.004833679864698	-3.3837262066331167e-10

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 342 to 229 computations (33% saved)

regimes122.0ms (3.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

70.0ms	z
14.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
81.6%	3	`x`
73.9%	3	`y`
70.9%	9	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch52.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.988878480828942e-80	1.5571460713001026e-78
39.0ms	-1.4343774774948991e-86	-3.4616375710257223e-90

Results

49.0ms

240×

body

256

valid

Compiler

Compiled 228 to 163 computations (28.5% saved)

regimes89.0ms (2.5%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	z
22.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
72.4%	7	`x`
67.1%	3	`y`
64.1%	5	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch184.0ms (5.1%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
67.0ms	1.3368001259592942e+153	8.922286586579738e+162
13.0ms	3.269170643560789e+23	3.709185019130288e+25
12.0ms	5.988878480828942e-80	1.5571460713001026e-78
14.0ms	-1.4343774774948991e-86	-3.4616375710257223e-90
17.0ms	-14.004833679864698	-3.3837262066331167e-10
61.0ms	-5.292447164546499e+219	-1.6198339977476032e+213

Results

152.0ms	816×	body	256	valid
22.0ms	232×	body	256	infinite

Compiler

Compiled 738 to 544 computations (26.3% saved)

regimes92.0ms (2.6%)

Accuracy

Total -40.9b remaining (-194.3%)

Threshold costs -40.9b (-194.3%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 z x)

Outputs
y
(*.f64 z x)
y

Calls

3 calls:

70.0ms	y
12.0ms	z
8.0ms	x

Results

Accuracy	Segments	Branch
65.4%	3	`x`
67.1%	3	`y`
62.0%	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch140.0ms (3.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
127.0ms	4.97156937952546e-77	8.622177602755607e-76
12.0ms	-3.269731657067275e-33	-8.739576838426469e-35

Results

137.0ms

224×

body

256

valid

Compiler

Compiled 186 to 139 computations (25.3% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
12×	`+-commutative`
8×	`sub-neg`
8×	`if-if-or-not`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	242
1	78	242
2	88	242
3	94	242
4	96	242

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (-.f64 z y) x) y)
(if (<=.f64 x -1) (.f64 (-.f64 z y) x) (if (<=.f64 x 5584463537939415/18014398509481984) (+.f64 (.f64 z x) y) (*.f64 (-.f64 z y) x)))
(if (<=.f64 x -2687693690613365/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) (.f64 (-.f64 z y) x) (if (<=.f64 x 3754664711579725/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) y (.f64 (-.f64 z y) x)))
(if (<=.f64 x -9999999999999999544446266951486038123467425400819078260993214423089680518452271383223760211130420606034208307593944715707740128306913340586165347614418822310868858990958736965765439335377993421392542578277827477504) (.f64 z x) (if (<=.f64 x -14) (.f64 y (neg.f64 x)) (if (<=.f64 x -6988003595594749/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (.f64 z x) (if (<=.f64 x 4380442163509679/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) y (if (<=.f64 x 31999999999999999463129088) (.f64 z x) (if (<=.f64 x 779999999999999960345063098244882757094418733214598526862131419436882582430454444173221967970030288827021411145366163702202650778142634762913852782435893248) (.f64 y (neg.f64 x)) (.f64 z x)))))))
(if (<=.f64 y -2572242881702389/23384026197294446691258957323460528314494920687616) y (if (<=.f64 y 4562960586989249/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (*.f64 z x) y))
y

Outputs
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 y (*.f64 (-.f64 z y) x))
(if (<=.f64 x -1) (.f64 (-.f64 z y) x) (if (<=.f64 x 5584463537939415/18014398509481984) (+.f64 (.f64 z x) y) (*.f64 (-.f64 z y) x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 5584463537939415/18014398509481984))) (.f64 (-.f64 z y) x) (+.f64 y (.f64 z x)))
(if (<=.f64 x -2687693690613365/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) (.f64 (-.f64 z y) x) (if (<=.f64 x 3754664711579725/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) y (.f64 (-.f64 z y) x)))
(if (or (<=.f64 x -2687693690613365/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) (not (<=.f64 x 3754664711579725/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048))) (*.f64 (-.f64 z y) x) y)
(if (<=.f64 x -9999999999999999544446266951486038123467425400819078260993214423089680518452271383223760211130420606034208307593944715707740128306913340586165347614418822310868858990958736965765439335377993421392542578277827477504) (.f64 z x) (if (<=.f64 x -14) (.f64 y (neg.f64 x)) (if (<=.f64 x -6988003595594749/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (.f64 z x) (if (<=.f64 x 4380442163509679/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) y (if (<=.f64 x 31999999999999999463129088) (.f64 z x) (if (<=.f64 x 779999999999999960345063098244882757094418733214598526862131419436882582430454444173221967970030288827021411145366163702202650778142634762913852782435893248) (.f64 y (neg.f64 x)) (.f64 z x)))))))
(if (<=.f64 y -2572242881702389/23384026197294446691258957323460528314494920687616) y (if (<=.f64 y 4562960586989249/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (*.f64 z x) y))
y

Compiler

Compiled 118 to 69 computations (41.5% saved)

soundness298.0ms (8.3%)

Rules

1400×	`fma-def`
1296×	`log-prod`
1104×	`div-sub`
1074×	`fma-def`
956×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	20	21
2	33	21
3	60	21
4	129	17
5	221	15
6	351	15
7	564	15
8	976	15
9	1164	15
10	1223	15
11	1233	15
0	195	3016
1	473	2660
2	1272	2608
3	5070	2314
0	68	611
1	162	611
2	514	611
3	3087	611
4	6410	611

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 188 to 85 computations (54.8% saved)

end85.0ms (2.4%)

Compiler: Compiled 103 to 48 computations (53.4% saved)

Details

analyze329.0ms (9.2%)

sample1.2s (32.6%)

preprocess119.0ms (3.3%)

simplify46.0ms (1.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize11.0ms (0.3%)

series3.0ms (0.1%)

rewrite71.0ms (2%)

simplify83.0ms (2.3%)

localize6.0ms (0.2%)

series11.0ms (0.3%)

rewrite59.0ms (1.6%)

simplify58.0ms (1.6%)

eval33.0ms (0.9%)

prune22.0ms (0.6%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite57.0ms (1.6%)

simplify64.0ms (1.8%)

localize7.0ms (0.2%)

localize5.0ms (0.2%)

eval19.0ms (0.5%)

prune10.0ms (0.3%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite57.0ms (1.6%)

simplify58.0ms (1.6%)

eval38.0ms (1.1%)

prune8.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes25.0ms (0.7%)

regimes91.0ms (2.5%)

bsearch30.0ms (0.8%)

regimes122.0ms (3.4%)

bsearch52.0ms (1.4%)

regimes89.0ms (2.5%)

bsearch184.0ms (5.1%)

regimes92.0ms (2.6%)

bsearch140.0ms (3.9%)

simplify11.0ms (0.3%)

soundness298.0ms (8.3%)

end85.0ms (2.4%)

Profiling