Metrics for Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, B

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample984.0ms (40.4%)

Results

746.0ms	6456×	body	256	valid
227.0ms	1800×	body	256	infinite

Bogosity

preprocess108.0ms (4.4%)

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)

simplify45.0ms (1.8%)

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

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 20 to 12 computations (40% saved)

localize25.0ms (1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

9 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	x	@	-inf	(*.f64 (-.f64 y x) z)
0.0ms	z	@	0	(*.f64 (-.f64 y x) z)
0.0ms	z	@	inf	(*.f64 (-.f64 y x) z)

rewrite93.0ms (3.8%)

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 y x) z)

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

simplify68.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1376×	`fma-def`
1296×	`log-prod`
792×	`unsub-neg`
738×	`associate-r`
646×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	611
1	166	611
2	516	611
3	3056	611
4	6374	611

Stop Event

1×	node limit

Counts

43 → 29

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

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 (.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 (+.f64 1 (*.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 (.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (.f64 x (+.f64 x y))))
(.f64 (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y y (.f64 x (+.f64 x y)))) z)
(.f64 z (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(.f64 (-.f64 (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 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 z (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (.f64 x (+.f64 x y))))
(.f64 (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y y (.f64 x (+.f64 x y)))) z)
(.f64 z (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(.f64 (-.f64 (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 y x))
(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) 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 z) (-.f64 y x)))
(*.f64 z (-.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))
(*.f64 z (-.f64 y x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))
(*.f64 z (-.f64 y x))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (-.f64 y x) 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))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) z)))
(*.f64 z (-.f64 y x))

eval5.0ms (0.2%)

Compiler: Compiled 345 to 147 computations (57.4% saved)

prune9.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Accurracy

100.0%

Counts

30 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))
▶	62.6%	(+.f64 x (*.f64 z (neg.f64 x)))
▶	73.7%	(+.f64 x (*.f64 z y))
✓	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))
▶	62.6%	(+.f64 x (*.f64 z (neg.f64 x)))
▶	73.7%	(+.f64 x (*.f64 z y))

Compiler

Compiled 54 to 34 computations (37% saved)

localize33.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 29 to 9 computations (69% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite98.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`pow1`
1464×	`add-exp-log`
1462×	`log1p-expm1-u`
1462×	`expm1-log1p-u`
1432×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	9
2	2454	9

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

simplify60.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1112×	`div-sub`
1066×	`associate-/l*`
990×	`fma-neg`
794×	`associate-/r*`
610×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	1464
1	245	1220
2	926	1048
3	5232	1048

Stop Event

1×	node limit

Counts

62 → 61

Calls

Call 1

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

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

eval12.0ms (0.5%)

Compiler: Compiled 717 to 272 computations (62.1% saved)

prune14.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	59	5	64

Accurracy

100.0%

Counts

64 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.6%	(-.f64 x (*.f64 x z))
✓	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))
✓	73.7%	(+.f64 x (*.f64 z y))
▶	28.8%	(*.f64 (neg.f64 z) x)
	36.5%	x
▶	62.6%	(-.f64 x (*.f64 x z))
✓	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))
✓	73.7%	(+.f64 x (*.f64 z y))
▶	28.8%	(*.f64 (neg.f64 z) x)
	36.5%	x

Compiler

Compiled 74 to 48 computations (35.1% saved)

localize29.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 22 to 8 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`pow1`
1384×	`add-exp-log`
1384×	`log1p-expm1-u`
1384×	`expm1-log1p-u`
1354×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	133	13
2	1897	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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 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 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)))

simplify72.0ms (3%)

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	112	1070
1	298	1010
2	1148	1010
3	5655	1010

Stop Event

1×	node limit

Counts

62 → 49

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 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 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 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 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) 1) (fma.f64 x x (.f64 (.f64 z x) (+.f64 x (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) (.f64 x (+.f64 x (*.f64 z (fma.f64 z x x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) (.f64 x (+.f64 x (*.f64 x (fma.f64 z z z)))))
(.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 1 (/.f64 (fma.f64 x x (.f64 (.f64 x z) (+.f64 x (.f64 x z)))) (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x z) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) 1) (fma.f64 x x (.f64 (.f64 z x) (+.f64 x (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) (.f64 x (+.f64 x (*.f64 z (fma.f64 z x x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) (.f64 x (+.f64 x (*.f64 x (fma.f64 z z z)))))
(/.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 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) 1) (fma.f64 x x (.f64 (.f64 z x) (+.f64 x (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) (.f64 x (+.f64 x (*.f64 z (fma.f64 z x x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) (.f64 x (+.f64 x (*.f64 x (fma.f64 z z z)))))
(/.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 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) 1) (fma.f64 x x (.f64 (.f64 z x) (+.f64 x (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) (.f64 x (+.f64 x (*.f64 z (fma.f64 z x x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) (.f64 x (+.f64 x (*.f64 x (fma.f64 z z z)))))
(/.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 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) 1) (fma.f64 x x (.f64 (.f64 z x) (+.f64 x (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) (.f64 x (+.f64 x (*.f64 z (fma.f64 z x x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z x) 3)) (.f64 x (+.f64 x (*.f64 x (fma.f64 z z z)))))
(/.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))

eval10.0ms (0.4%)

Compiler: Compiled 597 to 197 computations (67% saved)

prune10.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	2	2
Done	0	2	2
Total	49	5	54

Accurracy

100.0%

Counts

54 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.6%	(-.f64 x (*.f64 x z))
✓	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))
✓	73.7%	(+.f64 x (*.f64 z y))
✓	28.8%	(*.f64 (neg.f64 z) x)
	36.5%	x
✓	62.6%	(-.f64 x (*.f64 x z))
✓	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))
✓	73.7%	(+.f64 x (*.f64 z y))
✓	28.8%	(*.f64 (neg.f64 z) x)
	36.5%	x

Compiler

Compiled 74 to 48 computations (35.1% saved)

localize0.0ms (0%)

eval2.0ms (0.1%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.6%	(-.f64 x (*.f64 x z))
✓	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))
✓	73.7%	(+.f64 x (*.f64 z y))
✓	28.8%	(*.f64 (neg.f64 z) x)
	36.5%	x

Compiler

Compiled 68 to 39 computations (42.6% saved)

regimes19.0ms (0.8%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(+.f64 x (*.f64 (-.f64 y x) 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 53 to 30 computations (43.4% saved)

regimes60.0ms (2.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	z
19.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
86.4%	3	`x`
90.6%	3	`y`
84.8%	5	`z`

Compiler

Compiled 36 to 21 computations (41.7% saved)

regimes37.0ms (1.5%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	z
13.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
84.8%	5	`z`
73.7%	1	`x`
76.5%	3	`y`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes42.0ms (1.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	x
13.0ms	y
8.0ms	z

Results

Accuracy	Segments	Branch
41.5%	5	`y`
40.7%	5	`x`
62.0%	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
36.5%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch28.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.1116036011319604e-8	5.577042428770391e-6
15.0ms	-1.3705236929046165e-24	-1.7650998441410518e-32

Results

22.0ms	245×	body	256	valid
2.0ms	27×	body	256	infinite

Compiler

Compiled 322 to 215 computations (33.2% saved)

bsearch45.0ms (1.9%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	3.7202581927039653e+210	2.078052882401934e+223
15.0ms	5.76516570377738e+134	1.3967139421524659e+141
8.0ms	2.0220319113703714e+60	4.1493957672929316e+60
6.0ms	-5.995133541965115e+20	-3.7997071401758445e+20

Results

25.0ms	287×	body	256	valid
15.0ms	161×	body	256	infinite

Compiler

Compiled 492 to 347 computations (29.5% saved)

bsearch27.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	291189.23362532334	3599189.69533744
18.0ms	-17.283599097924785	-5.84946245475104e-12

Results

24.0ms

256×

body

256

valid

Compiler

Compiled 224 to 171 computations (23.7% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	199
1	70	193
2	82	189
3	93	185
4	99	185
5	103	185
6	104	185
7	105	185

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 y -6565339386447415/713623846352979940529142984724747568191373312) (+.f64 x (.f64 z y)) (if (<=.f64 y 1851167661284901/75557863725914323419136) (-.f64 x (.f64 x z)) (+.f64 x (*.f64 z y))))
(if (<=.f64 z -560000000000000000000) (.f64 (neg.f64 z) x) (if (<=.f64 z 3900000000000000302146520105674631951558304850275597018988544) (+.f64 x (.f64 z y)) (if (<=.f64 z 550000000000000018062859369062709343442856911497786432531772384442310853794333397549200723595250076976172227631377339568256669848816320512) (.f64 (neg.f64 z) x) (if (<=.f64 z 1849999999999999963563216716663026788660325275339416241196164420438250673583743942383899216369188804444568857304120101348828307771192260410567781727877194872068564873217770985271841953664820585938619267073146093568) (+.f64 x (.f64 z y)) (*.f64 (neg.f64 z) x)))))
(if (<=.f64 z -1) (.f64 (neg.f64 z) x) (if (<=.f64 z 300000) x (.f64 (neg.f64 z) x)))
x

Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 y -6565339386447415/713623846352979940529142984724747568191373312) (+.f64 x (.f64 z y)) (if (<=.f64 y 1851167661284901/75557863725914323419136) (-.f64 x (.f64 x z)) (+.f64 x (*.f64 z y))))
(if (or (<=.f64 y -6565339386447415/713623846352979940529142984724747568191373312) (not (<=.f64 y 1851167661284901/75557863725914323419136))) (+.f64 x (.f64 y z)) (-.f64 x (.f64 x z)))
(if (<=.f64 z -560000000000000000000) (.f64 (neg.f64 z) x) (if (<=.f64 z 3900000000000000302146520105674631951558304850275597018988544) (+.f64 x (.f64 z y)) (if (<=.f64 z 550000000000000018062859369062709343442856911497786432531772384442310853794333397549200723595250076976172227631377339568256669848816320512) (.f64 (neg.f64 z) x) (if (<=.f64 z 1849999999999999963563216716663026788660325275339416241196164420438250673583743942383899216369188804444568857304120101348828307771192260410567781727877194872068564873217770985271841953664820585938619267073146093568) (+.f64 x (.f64 z y)) (*.f64 (neg.f64 z) x)))))
(if (<=.f64 z -560000000000000000000) (.f64 x (neg.f64 z)) (if (<=.f64 z 3900000000000000302146520105674631951558304850275597018988544) (+.f64 x (.f64 y z)) (if (or (<=.f64 z 550000000000000018062859369062709343442856911497786432531772384442310853794333397549200723595250076976172227631377339568256669848816320512) (not (<=.f64 z 1849999999999999963563216716663026788660325275339416241196164420438250673583743942383899216369188804444568857304120101348828307771192260410567781727877194872068564873217770985271841953664820585938619267073146093568))) (.f64 x (neg.f64 z)) (+.f64 x (.f64 y z)))))
(if (<=.f64 z -560000000000000000000) (.f64 x (neg.f64 z)) (if (or (<=.f64 z 3900000000000000302146520105674631951558304850275597018988544) (not (or (<=.f64 z 550000000000000018062859369062709343442856911497786432531772384442310853794333397549200723595250076976172227631377339568256669848816320512) (not (<=.f64 z 1849999999999999963563216716663026788660325275339416241196164420438250673583743942383899216369188804444568857304120101348828307771192260410567781727877194872068564873217770985271841953664820585938619267073146093568))))) (+.f64 x (.f64 y z)) (*.f64 x (neg.f64 z))))
(if (or (<=.f64 z -560000000000000000000) (not (or (<=.f64 z 3900000000000000302146520105674631951558304850275597018988544) (not (or (<=.f64 z 550000000000000018062859369062709343442856911497786432531772384442310853794333397549200723595250076976172227631377339568256669848816320512) (not (<=.f64 z 1849999999999999963563216716663026788660325275339416241196164420438250673583743942383899216369188804444568857304120101348828307771192260410567781727877194872068564873217770985271841953664820585938619267073146093568))))))) (.f64 x (neg.f64 z)) (+.f64 x (.f64 y z)))
(if (or (<=.f64 z -560000000000000000000) (not (or (<=.f64 z 3900000000000000302146520105674631951558304850275597018988544) (and (not (<=.f64 z 550000000000000018062859369062709343442856911497786432531772384442310853794333397549200723595250076976172227631377339568256669848816320512)) (<=.f64 z 1849999999999999963563216716663026788660325275339416241196164420438250673583743942383899216369188804444568857304120101348828307771192260410567781727877194872068564873217770985271841953664820585938619267073146093568))))) (.f64 x (neg.f64 z)) (+.f64 x (.f64 y z)))
(if (or (<=.f64 z -560000000000000000000) (and (not (<=.f64 z 3900000000000000302146520105674631951558304850275597018988544)) (or (<=.f64 z 550000000000000018062859369062709343442856911497786432531772384442310853794333397549200723595250076976172227631377339568256669848816320512) (not (<=.f64 z 1849999999999999963563216716663026788660325275339416241196164420438250673583743942383899216369188804444568857304120101348828307771192260410567781727877194872068564873217770985271841953664820585938619267073146093568))))) (.f64 x (neg.f64 z)) (+.f64 x (.f64 y z)))
(if (<=.f64 z -1) (.f64 (neg.f64 z) x) (if (<=.f64 z 300000) x (.f64 (neg.f64 z) x)))
(if (or (<=.f64 z -1) (not (<=.f64 z 300000))) (*.f64 x (neg.f64 z)) x)
x

Compiler

Compiled 83 to 56 computations (32.5% saved)

soundness308.0ms (12.7%)

Rules

1586×	`pow1`
1464×	`add-exp-log`
1462×	`log1p-expm1-u`
1462×	`expm1-log1p-u`
1432×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	611
1	166	611
2	516	611
3	3056	611
4	6374	611
0	99	1464
1	245	1220
2	926	1048
3	5232	1048
0	68	611
1	166	611
2	516	611
3	3056	611
4	6374	611
0	8	17
1	172	9
2	2454	9

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 77 to 42 computations (45.5% saved)

end98.0ms (4%)

Compiler: Compiled 162 to 92 computations (43.2% saved)

analyze0.0ms (0%)

sample984.0ms (40.4%)

preprocess108.0ms (4.4%)

simplify45.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize25.0ms (1%)

series3.0ms (0.1%)

rewrite93.0ms (3.8%)

simplify68.0ms (2.8%)

eval5.0ms (0.2%)

prune9.0ms (0.4%)

localize33.0ms (1.3%)

series3.0ms (0.1%)

rewrite98.0ms (4%)

simplify60.0ms (2.5%)

eval12.0ms (0.5%)

prune14.0ms (0.6%)

localize29.0ms (1.2%)

series1.0ms (0%)

rewrite71.0ms (2.9%)

simplify72.0ms (3%)

eval10.0ms (0.4%)

prune10.0ms (0.4%)

localize0.0ms (0%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

regimes19.0ms (0.8%)

regimes60.0ms (2.5%)

regimes37.0ms (1.5%)

regimes42.0ms (1.7%)

regimes3.0ms (0.1%)

bsearch28.0ms (1.1%)

bsearch45.0ms (1.9%)

bsearch27.0ms (1.1%)

simplify11.0ms (0.4%)

soundness308.0ms (12.7%)

end98.0ms (4%)

Profiling