Metrics for Expanding a square

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.4s (50.5%)

Results

271.0ms	3005×	256	valid
603.0ms	2032×	1024	valid
188.0ms	2019×	256	infinite
197.0ms	1079×	512	valid
27.0ms	120×	2048	valid
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 588.0ms

Operation ival-add, time spent: 373.0ms, 63.0% of total-time

Operation ival-mult, time spent: 102.0ms, 17.0% of total-time

Operation ival-sub, time spent: 79.0ms, 13.0% of total-time

Operation const, time spent: 34.0ms, 6.0% of total-time

Bogosity

preprocess467.0ms (16.6%)

Algorithm

1×	egg-herbie

Rules

6414×	`fma-neg`
2208×	`unsub-neg`
1012×	`distribute-neg-in`
858×	`sub-neg`
608×	`fma-define`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
123	-	-	`(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)`
0	-	-	`x`
0	-	-	`(*.f64 (+.f64 x 1) (+.f64 x 1))`
0	-	-	`(+.f64 x 1)`
0	-	-	`1`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)`	cancellation	123

Confusion

	Predicted +	Predicted -
+	123	0
-	0	133

Precision

1.0

Recall

1.0

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	128
1	51	108
2	146	88
3	488	76
4	2177	76
5	3792	76
6	4939	76
7	5788	76
8	6213	76
9	6453	76
10	6456	76
11	6456	76
12	6577	76
13	6664	76
14	6837	76
15	6837	76

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(-.f64 (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 (neg.f64 x) 1)) 1)
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 (neg.f64 x) 1)) 1))

Outputs
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)
(*.f64 (+.f64 x 2) (+.f64 x 0))
(*.f64 x (+.f64 x 2))
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)
(*.f64 (+.f64 x 2) (+.f64 x 0))
(*.f64 x (+.f64 x 2))
(-.f64 (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 (neg.f64 x) 1)) 1)
(fma.f64 (+.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x)) -1)
(fma.f64 (-.f64 1 x) (-.f64 1 x) -1)
(*.f64 (neg.f64 x) (-.f64 2 x))
(*.f64 x (+.f64 x -2))
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 (neg.f64 x) 1)) 1))
(neg.f64 (fma.f64 (+.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x)) -1))
(neg.f64 (fma.f64 (-.f64 1 x) (-.f64 1 x) -1))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 2 x)))
(*.f64 x (-.f64 2 x))

Compiler

Compiled 66 to 50 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

Operation ival-add, time spent: 29.0ms, 58.0% of total-time

Operation ival-mult, time spent: 11.0ms, 22.0% of total-time

Operation ival-sub, time spent: 5.0ms, 10.0% of total-time

Operation const, time spent: 4.0ms, 8.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 x (+.f64 x 2))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize26.0ms (0.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 x 2))

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-add, time spent: 3.0ms, 53.0% of total-time

Operation ival-mult, time spent: 2.0ms, 35.0% of total-time

Operation const, time spent: 1.0ms, 18.0% of total-time

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 x (+.f64 x 2))
1.0ms	x	@	-inf	(*.f64 x (+.f64 x 2))
1.0ms	x	@	0	(*.f64 x (+.f64 x 2))

rewrite170.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`unpow-prod-down`
396×	`log1p-expm1-u`
396×	`expm1-log1p-u`
376×	`add-exp-log`
370×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	83	19
2	1086	19

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(*.f64 x (+.f64 x 2))

Outputs
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(+.f64 (pow.f64 x 2) (.f64 (.f64 x 2) 1))
(+.f64 (*.f64 x 2) (pow.f64 x 2))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 x 2) 2) (.f64 (pow.f64 x 2) (.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x 2) 2)) (-.f64 (pow.f64 x 2) (.f64 x 2)))
(/.f64 (.f64 x (+.f64 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 8) x) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x 2)))) 2))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (pow.f64 x 2))
(fma.f64 2 x (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) (*.f64 x 2))
(fma.f64 1 (*.f64 x 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 2) 1 (.f64 (.f64 x 2) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (pow.f64 x 2))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 x 2))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x 2))

simplify68.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1114×	`fma-neg`
1098×	`associate-r`
1030×	`associate-l`
876×	`fma-define`
860×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1433
1	338	1429
2	904	1401
3	5363	1401

Stop Event

1×	node limit

Counts

59 → 62

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(+.f64 (pow.f64 x 2) (.f64 (.f64 x 2) 1))
(+.f64 (*.f64 x 2) (pow.f64 x 2))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 x 2) 2) (.f64 (pow.f64 x 2) (.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x 2) 2)) (-.f64 (pow.f64 x 2) (.f64 x 2)))
(/.f64 (.f64 x (+.f64 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 8) x) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x 2)))) 2))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (pow.f64 x 2))
(fma.f64 2 x (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) (*.f64 x 2))
(fma.f64 1 (*.f64 x 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 2) 1 (.f64 (.f64 x 2) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (pow.f64 x 2))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 x 2))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x 2))

Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (pow.f64 x 2) (.f64 (.f64 x 2) 1))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 x 2) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 2 x)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(*.f64 x (+.f64 2 x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(*.f64 x (+.f64 2 x))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 x 2) 2) (.f64 (pow.f64 x 2) (.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 2 x) 2) (*.f64 (pow.f64 x 3) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 2 x) 2) (.f64 2 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) 4 (*.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x 2) 2)) (-.f64 (pow.f64 x 2) (.f64 x 2)))
(*.f64 x (+.f64 2 x))
(/.f64 (.f64 x (+.f64 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(.f64 x (/.f64 (+.f64 (pow.f64 x 3) 8) (-.f64 (fma.f64 x x 4) (.f64 2 x))))
(.f64 x (/.f64 (+.f64 (pow.f64 x 3) 8) (+.f64 (fma.f64 x x 4) (.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (+.f64 4 (*.f64 x (+.f64 x -2))))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 8) x) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(.f64 x (/.f64 (+.f64 (pow.f64 x 3) 8) (-.f64 (fma.f64 x x 4) (.f64 2 x))))
(.f64 x (/.f64 (+.f64 (pow.f64 x 3) 8) (+.f64 (fma.f64 x x 4) (.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (+.f64 4 (*.f64 x (+.f64 x -2))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 2 x))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 2 x))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 2 x)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 2 x))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x 2)))) 2))
(*.f64 x (+.f64 2 x))
(fma.f64 x x (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 x 2 (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 2 x (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (pow.f64 x 2) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (*.f64 x 2) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 x 2) 1 (.f64 (.f64 x 2) 1))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))

eval15.0ms (0.5%)

Compiler: Compiled 712 to 513 computations (27.9% saved)

prune8.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Accuracy

100.0%

Counts

63 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (*.f64 x 2))
✓	100.0%	(*.f64 x (+.f64 x 2))
▶	48.7%	(*.f64 2 x)

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize35.0ms (1.2%)

Compiler: Compiled 18 to 11 computations (38.9% saved)
Precisions: Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-mult, time spent: 9.0ms, 62.0% of total-time
Operation composed, time spent: 4.0ms, 27.0% of total-time
Operation const, time spent: 1.0ms, 7.0% of total-time
Operation ival-add, time spent: 1.0ms, 7.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (*.f64 x 2))
✓	100.0%	(*.f64 x (+.f64 x 2))
✓	48.7%	(*.f64 2 x)

Compiler

Compiled 41 to 27 computations (34.1% saved)

regimes12.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 2 x)
(*.f64 x (+.f64 x 2))
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(fma.f64 x x (*.f64 x 2))

Outputs
(fma.f64 x x (*.f64 x 2))

Calls

4 calls:

4.0ms	x
3.0ms	(+.f64 x 1)
2.0ms	(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
2.0ms	(*.f64 (+.f64 x 1) (+.f64 x 1))

Results

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

Compiler

Compiled 24 to 18 computations (25% saved)

regimes10.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 2 x)
(*.f64 x (+.f64 x 2))
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)

Outputs
(*.f64 x (+.f64 x 2))

Calls

4 calls:

3.0ms	x
2.0ms	(+.f64 x 1)
2.0ms	(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
2.0ms	(*.f64 (+.f64 x 1) (+.f64 x 1))

Results

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

Compiler

Compiled 24 to 18 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 2 x)

Outputs
(*.f64 2 x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	14	53

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x x (*.f64 x 2))
(*.f64 x (+.f64 x 2))
(*.f64 2 x)

Outputs
(fma.f64 x x (*.f64 x 2))
(*.f64 x (+.f64 x 2))
(*.f64 2 x)
(*.f64 x 2)

Compiler

Compiled 17 to 11 computations (35.3% saved)

soundness533.0ms (18.9%)

Rules

6414×	`fma-neg`
2208×	`unsub-neg`
1012×	`distribute-neg-in`
858×	`sub-neg`
656×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	128
1	51	108
2	146	88
3	488	76
4	2177	76
5	3792	76
6	4939	76
7	5788	76
8	6213	76
9	6453	76
10	6456	76
11	6456	76
12	6577	76
13	6664	76
14	6837	76
15	6837	76
0	8	19
1	83	19
2	1086	19

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 90 to 66 computations (26.7% saved)

end0.0ms (0%)

preprocess37.0ms (1.3%)

Compiler: Compiled 50 to 34 computations (32% saved)

analyze0.0ms (0%)

sample1.4s (50.5%)

preprocess467.0ms (16.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize26.0ms (0.9%)

series3.0ms (0.1%)

rewrite170.0ms (6%)

simplify68.0ms (2.4%)

eval15.0ms (0.5%)

prune8.0ms (0.3%)

localize35.0ms (1.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes12.0ms (0.4%)

regimes10.0ms (0.4%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness533.0ms (18.9%)

end0.0ms (0%)

preprocess37.0ms (1.3%)

Profiling