Metrics for Cancel like terms

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

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 7 to 6 computations (14.3% saved)

sample564.0ms (50.4%)

Memory

25.3MiB live, 508.9MiB allocated

Samples

256.0ms	3 776×	1	valid
120.0ms	4 480×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-add: 108.0ms (46.7% of total)

ival-sub: 57.0ms (24.7% of total)

adjust: 53.0ms (22.9% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain53.0ms (4.7%)

Memory

-4.2MiB live, 57.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
116	4	(25739.125026797814)	-	`(-.f64 (+.f64 #s(literal 1 binary64) x) x)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (+.f64 #s(literal 1 binary64) x) x)`	cancellation	120	0

Confusion

	Predicted +	Predicted -
+	116	0
-	4	136

Precision

0.9666666666666667

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	116	0	0
-	4	0	136

Precision?

0.9666666666666667

Recall?

1.0

Freqs

test

number	freq
0	136
1	120

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

17.0ms	228×	1	valid
9.0ms	284×	0	valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 7.0ms (47.2% of total)

adjust: 3.0ms (20.2% of total)

ival-sub: 3.0ms (20.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess13.0ms (1.1%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	11	2
2	20	2
0	4	5
0	6	5
1	11	1
2	15	1
0	15	1

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)

Outputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.1%	(-.f64 (+.f64 #s(literal 1 binary64) x) x)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.3%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	4	(-.f64 (+.f64 #s(literal 1 binary64) x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	6
1	11	6
2	15	6
0	15	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x

localize26.0ms (2.3%)

Memory

-25.3MiB live, 16.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	28.1048300384784	(-.f64 (+.f64 #s(literal 1 binary64) x) x)

Samples

14.0ms	142×	0	valid
8.0ms	114×	1	valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-add: 3.0ms (47.6% of total)

adjust: 2.0ms (31.7% of total)

ival-sub: 2.0ms (31.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

2 → 4

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)

Outputs
1
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((- (+ 1 x) x) (+ 1 x))
0.0ms	x	@	-inf	((- (+ 1 x) x) (+ 1 x))
0.0ms	x	@	0	((- (+ 1 x) x) (+ 1 x))

simplify6.0ms (0.5%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	17	8
2	28	8
3	63	8
4	96	8
5	138	8
6	175	8
7	194	8
8	197	8
0	197	8

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 3

Calls

Call 1

Inputs
1
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))

Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))

rewrite169.0ms (15.1%)

Memory

13.2MiB live, 137.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	35	4
2	279	4
3	3647	4
0	9245	4

Stop Event

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

Counts

2 → 183

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)

Outputs
#s(literal 1 binary64)
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (hypot.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (hypot.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (fabs.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (fabs.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fabs.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (fabs.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))))) (fabs.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))))
(/.f64 (fabs.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 x x x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fabs.f64 (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))))
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(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fabs.f64 (-.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (-.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(fabs.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fabs.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(fabs.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (-.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(fabs.f64 (-.f64 x #s(literal 1 binary64)))
(fabs.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 x))
(+.f64 (cosh.f64 (log1p.f64 x)) (sinh.f64 (log1p.f64 x)))
(+.f64 (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)

eval20.0ms (1.8%)

Memory: 1.1MiB live, 32.3MiB allocated
Compiler: Compiled 3 684 to 745 computations (79.8% saved)

prune3.0ms (0.3%)

Memory

-22.7MiB live, 8.6MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	185	1	186

Accuracy

100.0%

Counts

186 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (+ 1 x) x) #s(literal 1 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.3%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (+ 1 x) x) #s(literal 1 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	5	8
1	10	4
2	15	4
0	15	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
#s(approx (- (+ 1 x) x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (- (+ 1 x) x) #s(literal 1 binary64))
#s(literal 1 binary64)

localize14.0ms (1.2%)

Memory

15.2MiB live, 15.2MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	#s(approx (- (+ 1 x) x) #s(literal 1 binary64))

Samples

6.0ms	114×	1	valid
4.0ms	142×	0	valid

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

ival-add: 2.0ms (35.6% of total)

adjust: 2.0ms (35.6% of total)

ival-sub: 2.0ms (35.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (+ 1 x) x) #s(literal 1 binary64))

Outputs
1

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	((- (+ 1 x) x))
0.0ms	x	@	inf	((- (+ 1 x) x))
0.0ms	x	@	-inf	((- (+ 1 x) x))

simplify2.0ms (0.2%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	3	1
0	3	1

Stop Event

1×	saturated
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1
#s(literal 1 binary64)

rewrite209.0ms (18.7%)

Memory

-19.5MiB live, 73.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	5	7
1	34	3
2	279	3
3	3642	3
0	9231	3

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (+ 1 x) x) #s(literal 1 binary64))

Outputs
#s(approx (- (+ 1 x) x) #s(literal 1 binary64))

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 7 to 6 computations (14.3% saved)

prune1.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Accuracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (+ 1 x) x) #s(literal 1 binary64))

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes3.0ms (0.2%)

Memory

3.4MiB live, 3.4MiB allocated

Accuracy

Total -28.1b remaining (-∞%)

Threshold costs -28.1b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (+ 1 x) x) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)

Outputs
#s(approx (- (+ 1 x) x) #s(literal 1 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 (+.f64 #s(literal 1 binary64) x) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (+.f64 #s(literal 1 binary64) x) x)`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify9.0ms (0.8%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	5
2	14	3
3	18	3

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (+ 1 x) x) #s(literal 1 binary64))

Outputs
#s(approx (- (+ 1 x) x) #s(literal 1 binary64))

soundness7.0ms (0.6%)

Memory

2.7MiB live, 2.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	17	8
2	28	8
3	63	8
4	96	8
5	138	8
6	175	8
7	194	8
8	197	8
0	197	8

Stop Event

1×	done
1×	iter limit
1×	saturated

Compiler

Compiled 8 to 8 computations (0% saved)

preprocess12.0ms (1%)

Memory: 11.6MiB live, 11.6MiB allocated
Compiler: Compiled 24 to 20 computations (16.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample564.0ms (50.4%)

explain53.0ms (4.7%)

preprocess13.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.3%)

localize26.0ms (2.3%)

series1.0ms (0.1%)

simplify6.0ms (0.5%)

rewrite169.0ms (15.1%)

eval20.0ms (1.8%)

prune3.0ms (0.3%)

simplify3.0ms (0.3%)

localize14.0ms (1.2%)

series0.0ms (0%)

simplify2.0ms (0.2%)

rewrite209.0ms (18.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes3.0ms (0.2%)

simplify9.0ms (0.8%)

soundness7.0ms (0.6%)

preprocess12.0ms (1%)

end0.0ms (0%)

Profiling