Details

analyze199.0ms (5.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
36.7%	34.3%	59.3%	0.1%	6.2%	0%	0%	10
44.2%	40.6%	51.3%	0.1%	8%	0%	0%	11
52.6%	48%	43.2%	0.1%	8.7%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (31.4%)

Results

989.0ms	8256×	body	256	valid
150.0ms	1282×	body	256	infinite

Bogosity

preprocess141.0ms (3.9%)

Algorithm

2×	egg-herbie

Rules

2040×	`fma-def`
438×	`fma-neg`
372×	`unsub-neg`
252×	`distribute-rgt-in`
224×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	33	60
2	76	60
3	179	60
4	320	60
5	672	60
6	1287	60
7	2020	60
8	2735	60
9	2894	60
10	2922	60
11	2922	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 x (*.f64 (-.f64 y x) z))
(+.f64 y (*.f64 (-.f64 x y) z))
(+.f64 z (*.f64 (-.f64 y z) x))
(+.f64 x (*.f64 (-.f64 z x) y))

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

986×	`fma-def`
104×	`cancel-sign-sub-inv`
96×	`distribute-rgt-in`
86×	`unsub-neg`
84×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	13	15
2	27	15
3	55	15
4	103	15
5	174	15
6	287	15
7	484	15
8	878	15
9	1117	15
10	1217	15
11	1224	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Accurracy

100.0%

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize7.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite139.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`log-prod`
822×	`fma-def`
810×	`prod-exp`
718×	`pow-prod-down`
444×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	178	28
2	2622	28

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

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

simplify113.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1926×	`fma-def`
720×	`times-frac`
644×	`unswap-sqr`
474×	`cancel-sign-sub-inv`
464×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	3676
1	586	2996
2	1869	2908

Stop Event

1×	node limit

Counts

158 → 130

Calls

Call 1

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

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

localize6.0ms (0.2%)

Compiler: Compiled 15 to 5 computations (66.7% saved)

eval69.0ms (1.9%)

Compiler: Compiled 1694 to 566 computations (66.6% saved)

prune22.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	126	4	130
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	127	5	132

Accurracy

100.0%

Counts

132 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y x) z x)
▶	67.5%	(-.f64 x (*.f64 z x))
▶	77.3%	(+.f64 x (*.f64 z y))
▶	56.5%	(*.f64 (-.f64 y x) z)
	45.5%	x

Compiler

Compiled 37 to 23 computations (37.8% saved)

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite102.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`pow1`
1498×	`add-exp-log`
1498×	`log1p-expm1-u`
1498×	`expm1-log1p-u`
1468×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	9
2	2026	9

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1286×	`fma-neg`
948×	`associate-r`
886×	`associate-l`
864×	`div-sub`
772×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	897
1	219	867
2	731	867
3	4787	867

Stop Event

1×	node limit

Counts

71 → 41

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite92.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`pow1`
1388×	`add-exp-log`
1388×	`log1p-expm1-u`
1388×	`expm1-log1p-u`
1358×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	133	13
2	1901	13

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

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

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1626×	`fma-neg`
1214×	`fma-def`
640×	`times-frac`
394×	`associate-/l*`
364×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	1096
1	304	1036
2	1152	1036
3	5654	1036

Stop Event

1×	node limit

Counts

64 → 50

Calls

Call 1

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

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

eval37.0ms (1%)

Compiler: Compiled 1589 to 542 computations (65.9% saved)

prune45.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	140	7	147

Accurracy

100.0%

Counts

147 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(fma.f64 z y x)
✓	67.5%	(-.f64 x (*.f64 z x))
✓	77.3%	(+.f64 x (*.f64 z y))
✓	56.5%	(*.f64 (-.f64 y x) z)
▶	24.3%	(*.f64 z (neg.f64 x))
▶	34.9%	(*.f64 z y)
	45.5%	x

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%)

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

localize4.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	5	5
Total	7	7

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.3%	(fma.f64 z y x)
✓	67.5%	(-.f64 x (*.f64 z x))
✓	77.3%	(+.f64 x (*.f64 z y))
✓	56.5%	(*.f64 (-.f64 y x) z)
✓	24.3%	(*.f64 z (neg.f64 x))
✓	34.9%	(*.f64 z y)
	45.5%	x

Compiler

Compiled 48 to 31 computations (35.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.3%	(fma.f64 z y x)
✓	67.5%	(-.f64 x (*.f64 z x))
✓	77.3%	(+.f64 x (*.f64 z y))
✓	56.5%	(*.f64 (-.f64 y x) z)
✓	24.3%	(*.f64 z (neg.f64 x))
✓	34.9%	(*.f64 z y)
	45.5%	x

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes90.0ms (2.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	x
30.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
6.0ms	y
5.0ms	z

Results

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

Compiler

Compiled 65 to 29 computations (55.4% saved)

regimes27.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	z
5.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
5.0ms	x
5.0ms	y

Results

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

Compiler

Compiled 59 to 28 computations (52.5% saved)

regimes66.0ms (1.8%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	x
13.0ms	z
12.0ms	y

Results

Accuracy	Segments	Branch
86.1%	3	`x`
88.9%	3	`y`
98.5%	3	`z`

Compiler

Compiled 38 to 20 computations (47.4% saved)

bsearch85.0ms (2.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	6.921011281676731e-11	123708017.46310867
46.0ms	-1.8297255714758787	-0.01696278753652869

Results

82.0ms

272×

body

256

valid

Compiler

Compiled 322 to 215 computations (33.2% saved)

regimes88.0ms (2.4%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	x
31.0ms	y
18.0ms	z

Results

Accuracy	Segments	Branch
71.3%	5	`x`
71.5%	9	`y`
83.5%	5	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch83.0ms (2.3%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	8.00181182025871e-26	4.726924636818174e-13
16.0ms	1.7639720591309067e-43	3.573019147073716e-38
38.0ms	5.284485137797515e-69	5.495312375742002e-67
11.0ms	-1.8297255714758787	-0.01696278753652869

Results

77.0ms

528×

body

256

valid

Compiler

Compiled 446 to 325 computations (27.1% saved)

regimes63.0ms (1.7%)

Counts

3 → 8

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	z
21.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
59.6%	3	`x`
62.3%	7	`y`
72.0%	8	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch159.0ms (4.4%)

Algorithm

7×	binary-search

Stop Event

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

Steps

Time	Left	Right
54.0ms	6.921011281676731e-11	123708017.46310867
17.0ms	1.7639720591309067e-43	3.573019147073716e-38
43.0ms	5.284485137797515e-69	5.495312375742002e-67
5.0ms	-2.6057093479423696	-1.8297255714758787
12.0ms	-119492324633.39096	-6335400650.563594
13.0ms	-1.0657670019603312e+27	-2.8294239851450485e+25
15.0ms	-3.7686064302671694e+81	-2.1687733039429012e+79

Results

110.0ms	800×	body	256	valid
3.0ms	30×	body	256	infinite

Compiler

Compiled 689 to 513 computations (25.5% saved)

regimes32.0ms (0.9%)

Accuracy

Total -37.9b remaining (-156.8%)

Threshold costs -37.9b (-156.8%)

Counts

2 → 5

Calls

Call 1

Inputs
x
(*.f64 z y)

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

Calls

3 calls:

14.0ms	z
9.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
59.6%	3	`x`
58.4%	3	`y`
62.3%	5	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch112.0ms (3.1%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
46.0ms	8.00181182025871e-26	4.726924636818174e-13
16.0ms	1.7639720591309067e-43	3.573019147073716e-38
11.0ms	5.284485137797515e-69	5.495312375742002e-67
39.0ms	-2.6057093479423696	-1.8297255714758787

Results

107.0ms

464×

body

256

valid

Compiler

Compiled 364 to 272 computations (25.3% saved)

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	335
1	83	335
2	95	335
3	107	335
4	114	335
5	119	335
6	120	335
7	121	335

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 z -1) (.f64 (-.f64 y x) z) (if (<=.f64 z 1) (+.f64 x (.f64 z y)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -1224979098644775/72057594037927936) (.f64 (-.f64 y x) z) (if (<=.f64 z 8195634389077295/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) x (if (<=.f64 z 13792459867793/3064991081731777716716694054300618367237478244367204352) (.f64 z y) (if (<=.f64 z 2028240960365167/81129638414606681695789005144064) x (*.f64 (-.f64 y x) z)))))
(if (<=.f64 z -154999999999999994117428883941627526875084664624399436164255448772021618265292800) (.f64 z (neg.f64 x)) (if (<=.f64 z -1019999999999999942085050368) (.f64 z y) (if (<=.f64 z -39000000000) (.f64 z (neg.f64 x)) (if (<=.f64 z -4165829655317709/2251799813685248) (.f64 z y) (if (<=.f64 z 8195634389077295/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) x (if (<=.f64 z 8938592871190633/50216813883093446110686315385661331328818843555712276103168) (.f64 z y) (if (<=.f64 z 1) x (.f64 z (neg.f64 x)))))))))
(if (<=.f64 z -4165829655317709/2251799813685248) (.f64 z y) (if (<=.f64 z 8499176403487565/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) x (if (<=.f64 z 5523849527140279/12554203470773361527671578846415332832204710888928069025792) (.f64 z y) (if (<=.f64 z 3143773488566009/20282409603651670423947251286016) x (*.f64 z y)))))
x

Outputs
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 z -1) (.f64 (-.f64 y x) z) (if (<=.f64 z 1) (+.f64 x (.f64 z y)) (*.f64 (-.f64 y x) z)))
(if (or (<=.f64 z -1) (not (<=.f64 z 1))) (.f64 (-.f64 y x) z) (+.f64 x (.f64 y z)))
(if (<=.f64 z -1224979098644775/72057594037927936) (.f64 (-.f64 y x) z) (if (<=.f64 z 8195634389077295/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) x (if (<=.f64 z 13792459867793/3064991081731777716716694054300618367237478244367204352) (.f64 z y) (if (<=.f64 z 2028240960365167/81129638414606681695789005144064) x (*.f64 (-.f64 y x) z)))))
(if (<=.f64 z -1224979098644775/72057594037927936) (.f64 (-.f64 y x) z) (if (<=.f64 z 8195634389077295/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) x (if (<=.f64 z 13792459867793/3064991081731777716716694054300618367237478244367204352) (.f64 y z) (if (<=.f64 z 2028240960365167/81129638414606681695789005144064) x (*.f64 (-.f64 y x) z)))))
(if (<=.f64 z -154999999999999994117428883941627526875084664624399436164255448772021618265292800) (.f64 z (neg.f64 x)) (if (<=.f64 z -1019999999999999942085050368) (.f64 z y) (if (<=.f64 z -39000000000) (.f64 z (neg.f64 x)) (if (<=.f64 z -4165829655317709/2251799813685248) (.f64 z y) (if (<=.f64 z 8195634389077295/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) x (if (<=.f64 z 8938592871190633/50216813883093446110686315385661331328818843555712276103168) (.f64 z y) (if (<=.f64 z 1) x (.f64 z (neg.f64 x)))))))))
(if (<=.f64 z -154999999999999994117428883941627526875084664624399436164255448772021618265292800) (.f64 z (neg.f64 x)) (if (<=.f64 z -1019999999999999942085050368) (.f64 y z) (if (<=.f64 z -39000000000) (.f64 z (neg.f64 x)) (if (<=.f64 z -4165829655317709/2251799813685248) (.f64 y z) (if (<=.f64 z 8195634389077295/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) x (if (<=.f64 z 8938592871190633/50216813883093446110686315385661331328818843555712276103168) (.f64 y z) (if (<=.f64 z 1) x (.f64 z (neg.f64 x)))))))))
(if (<=.f64 z -4165829655317709/2251799813685248) (.f64 z y) (if (<=.f64 z 8499176403487565/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) x (if (<=.f64 z 5523849527140279/12554203470773361527671578846415332832204710888928069025792) (.f64 z y) (if (<=.f64 z 3143773488566009/20282409603651670423947251286016) x (*.f64 z y)))))
(if (<=.f64 z -4165829655317709/2251799813685248) (.f64 y z) (if (<=.f64 z 8499176403487565/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) x (if (<=.f64 z 5523849527140279/12554203470773361527671578846415332832204710888928069025792) (.f64 y z) (if (<=.f64 z 3143773488566009/20282409603651670423947251286016) x (*.f64 y z)))))
(if (<=.f64 z -4165829655317709/2251799813685248) (.f64 y z) (if (<=.f64 z 8499176403487565/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) x (if (and (not (<=.f64 z 5523849527140279/12554203470773361527671578846415332832204710888928069025792)) (<=.f64 z 3143773488566009/20282409603651670423947251286016)) x (.f64 y z))))
x

Compiler

Compiled 161 to 90 computations (44.1% saved)

soundness369.0ms (10.1%)

Rules

1926×	`fma-def`
1926×	`fma-def`
986×	`fma-def`
720×	`times-frac`
720×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	13	15
2	27	15
3	55	15
4	103	15
5	174	15
6	287	15
7	484	15
8	878	15
9	1117	15
10	1217	15
11	1224	15
0	249	3676
1	586	2996
2	1869	2908
0	249	3676
1	586	2996
2	1869	2908

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 48 to 22 computations (54.2% saved)

end125.0ms (3.4%)

Compiler: Compiled 143 to 64 computations (55.2% saved)

Details

analyze199.0ms (5.4%)

sample1.2s (31.4%)

preprocess141.0ms (3.9%)

simplify42.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite139.0ms (3.8%)

simplify113.0ms (3.1%)

localize6.0ms (0.2%)

eval69.0ms (1.9%)

prune22.0ms (0.6%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite102.0ms (2.8%)

simplify71.0ms (1.9%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite92.0ms (2.5%)

simplify69.0ms (1.9%)

eval37.0ms (1%)

prune45.0ms (1.2%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes90.0ms (2.5%)

regimes27.0ms (0.7%)

regimes66.0ms (1.8%)

bsearch85.0ms (2.3%)

regimes88.0ms (2.4%)

bsearch83.0ms (2.3%)

regimes63.0ms (1.7%)

bsearch159.0ms (4.4%)

regimes32.0ms (0.9%)

bsearch112.0ms (3.1%)

simplify16.0ms (0.4%)

soundness369.0ms (10.1%)

end125.0ms (3.4%)

Profiling