Metrics for Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample711.0ms (22.4%)

Memory

-0.8MiB live, 635.4MiB allocated

Samples

454.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-sub: 66.0ms (44.9% of total)

ival-mult: 66.0ms (44.9% of total)

ival-true: 7.0ms (4.8% of total)

exact: 5.0ms (3.4% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

explain46.0ms (1.5%)

Memory

-4.8MiB live, 79.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`
-	-	`(-.f64 x #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

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

ival-sub: 8.0ms (54.4% of total)

ival-mult: 6.0ms (40.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.6%)

Memory

-0.9MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	177	10
4	229	10
5	237	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	203	5
10	237	5
11	237	5
0	237	5

Stop Event

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

Calls

Call 1

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

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

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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify11.0ms (0.3%)

Memory

-15.7MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	203	10
10	237	10
11	237	10
0	237	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.4%)

Memory

-8.1MiB live, 31.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Samples

8.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (55.2% of total)

ival-sub: 1.0ms (27.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

2 → 9

Calls

Call 1

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

Outputs
(* -1 x)
(* x (- x 1))
-1
(- x 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
x
(* x (- 1 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* x (- x 1)) (- x 1))
0.0ms	x	@	-inf	((* x (- x 1)) (- x 1))
0.0ms	x	@	0	((* x (- x 1)) (- x 1))

simplify131.0ms (4.1%)

Memory

27.2MiB live, 109.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	32	26
2	75	26
3	149	26
4	397	26
5	1635	26
6	2874	26
7	3971	26
8	5327	26
9	6786	26
10	7682	26
0	8010	26

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(* -1 x)
(* x (- x 1))
-1
(- x 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
x
(* x (- 1 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 1)))

Outputs
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite212.0ms (6.7%)

Memory

13.6MiB live, 205.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	25	8
2	138	8
3	1252	8
0	8936	8

Stop Event

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

Counts

2 → 448

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (neg.f64 x) (.f64 x x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (fma.f64 x x x) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x)) (fma.f64 (fma.f64 x x x) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x x) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x x) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x)))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 x x)))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 x x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) x)))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 x x) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) x)))
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(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (fma.f64 x x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 x x)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 x x)))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 x x)))))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)) (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x))
(+.f64 (neg.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))
(+.f64 (.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval79.0ms (2.5%)

Memory: -28.1MiB live, 133.9MiB allocated
Compiler: Compiled 10 993 to 1 209 computations (89% saved)

prune6.0ms (0.2%)

Memory

23.4MiB live, 23.4MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	450	3	453
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	451	3	454

Accuracy

100.0%

Counts

454 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (neg.f64 x))
▶	53.8%	#s(approx (* x (- x 1)) (*.f64 x x))
▶	49.3%	#s(approx (* x (- x 1)) (neg.f64 x))

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify9.0ms (0.3%)

Memory

-29.4MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 x x (neg.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* x (- x 1)) (*.f64 x x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (* x (- x 1)) (neg.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	12	32
1	22	32
2	31	32
3	42	32
4	60	32
5	117	32
6	212	32
7	246	32
8	246	32
0	246	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x x (neg.f64 x))
x
(neg.f64 x)

Outputs
#s(approx (* x (- x 1)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x x (neg.f64 x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(neg.f64 x)

localize26.0ms (0.8%)

Memory

-10.6MiB live, 36.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x (neg.f64 x))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(*.f64 x x)
accuracy	29.569519655594068	#s(approx (* x (- x 1)) (*.f64 x x))
accuracy	0.0	(neg.f64 x)
accuracy	32.45817246426606	#s(approx (* x (- x 1)) (neg.f64 x))

Samples

14.0ms

256×

valid

Compiler

Compiled 60 to 18 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (41% of total)

ival-sub: 2.0ms (27.4% of total)

ival-add: 1.0ms (13.7% of total)

ival-neg: 1.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

5 → 4

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(neg.f64 x)
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
(fma.f64 x x (neg.f64 x))

Outputs
(* -1 x)
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* x (- x 1)) (neg x) (* x (- x 1)) (* x x) (+ (* x x) (neg x)))
1.0ms	x	@	-inf	((* x (- x 1)) (neg x) (* x (- x 1)) (* x x) (+ (* x x) (neg x)))
0.0ms	x	@	0	((* x (- x 1)) (neg x) (* x (- x 1)) (* x x) (+ (* x x) (neg x)))

simplify171.0ms (5.4%)

Memory

37.8MiB live, 114.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	22	15
2	40	15
3	82	15
4	190	15
5	381	15
6	698	15
7	2460	15
8	4243	15
9	6243	15
0	8004	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 4

Calls

Call 1

Inputs
(* -1 x)
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))

Outputs
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)

rewrite270.0ms (8.5%)

Memory

-16.9MiB live, 96.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	12	27
1	48	27
2	327	22
3	3649	22
0	8571	22

Stop Event

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

Counts

5 → 277

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(neg.f64 x)
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
(fma.f64 x x (neg.f64 x))

Outputs
#s(approx (* x (- x 1)) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 x x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 x)
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 x (/.f64 #s(literal 0 binary64) x))
(exp.f64 (log.f64 x))
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
x
#s(approx (* x (- x 1)) (*.f64 x x))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal -1 binary64))
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eval138.0ms (4.3%)

Memory: 6.0MiB live, 43.1MiB allocated
Compiler: Compiled 4 872 to 696 computations (85.7% saved)

prune5.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	320	1	321
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	320	4	324

Accuracy

100.0%

Counts

324 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (neg.f64 x))
✓	53.8%	#s(approx (* x (- x 1)) (*.f64 x x))
✓	49.3%	#s(approx (* x (- x 1)) (neg.f64 x))
▶	3.6%	#s(approx (* x (- x 1)) x)

Compiler

Compiled 29 to 20 computations (31% saved)

simplify15.0ms (0.5%)

Memory

-33.1MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (* x (- x 1)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	5	8
1	11	8
2	17	8
3	20	8
4	22	8
5	27	8
6	38	8
7	56	8
8	113	8
9	205	8
10	239	8
11	239	8
0	239	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)
x

Outputs
#s(approx (* x (- x 1)) x)
x

localize12.0ms (0.4%)

Memory

12.9MiB live, 12.9MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	61.6837230104158	#s(approx (* x (- x 1)) x)

Samples

8.0ms

256×

valid

Compiler

Compiled 16 to 11 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (56.5% of total)

ival-sub: 1.0ms (28.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

1 → 4

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)

Outputs
(* -1 x)
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))

Calls

3 calls:

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

simplify168.0ms (5.3%)

Memory

-5.3MiB live, 82.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	22	15
2	40	15
3	82	15
4	190	15
5	381	15
6	698	15
7	2460	15
8	4243	15
9	6243	15
0	8004	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 4

Calls

Call 1

Inputs
(* -1 x)
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))

Outputs
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)

rewrite170.0ms (5.4%)

Memory

28.7MiB live, 101.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	5	7
1	24	7
2	137	7
3	1253	7
0	8892	7

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)

Outputs
#s(approx (* x (- x 1)) x)

eval1.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 35 to 13 computations (62.9% saved)

prune72.0ms (2.3%)

Memory

-49.0MiB live, 8.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	4	4	8

Accuracy

100.0%

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (neg.f64 x))
✓	53.8%	#s(approx (* x (- x 1)) (*.f64 x x))
✓	49.3%	#s(approx (* x (- x 1)) (neg.f64 x))
✓	3.6%	#s(approx (* x (- x 1)) x)

Compiler

Compiled 63 to 33 computations (47.6% saved)

regimes5.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x (neg.f64 x))

Outputs
(fma.f64 x x (neg.f64 x))

Calls

2 calls:

2.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms	x

Results

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms	x

Results

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) (*.f64 x x))

Outputs
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) (*.f64 x x))

Calls

2 calls:

2.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
98.4%	3	`x`
98.4%	2	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (neg.f64 x))

Outputs
#s(approx (* x (- x 1)) (neg.f64 x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.3%	1	`x`
49.3%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) x)

Outputs
#s(approx (* x (- x 1)) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.6%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`
3.6%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1193509344312684e-9	520.8807599064098

Compiler

Compiled 8 to 8 computations (0% saved)

simplify89.0ms (2.8%)

Memory

-7.3MiB live, 65.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	26	50
2	40	50
3	63	50
4	106	50
5	193	50
6	365	50
7	3235	50

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) x)

Outputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx ( x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) x)

soundness746.0ms (23.5%)

Memory

15.9MiB live, 295.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	12	27
1	48	27
2	327	22
3	3649	22
0	8571	22
0	4	8
0	6	8
1	25	8
2	138	8
3	1252	8
0	8936	8
0	15	26
1	32	26
2	75	26
3	149	26
4	397	26
5	1635	26
6	2874	26
7	3971	26
8	5327	26
9	6786	26
10	7682	26
0	8010	26

Stop Event

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

Compiler

Compiled 77 to 36 computations (53.2% saved)

preprocess34.0ms (1.1%)

Memory: -22.6MiB live, 52.7MiB allocated
Compiler: Compiled 120 to 46 computations (61.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	177	10
4	229	10
5	237	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	203	5
10	237	5
11	237	5
0	237	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	203	10
10	237	10
11	237	10
0	237	10

Iter	Nodes	Cost
0	5	8
0	5	8
1	11	8
2	17	8
3	20	8
4	22	8
5	27	8
6	38	8
7	56	8
8	113	8
9	205	8
10	239	8
11	239	8
0	239	8

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	177	10
4	229	10
5	237	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	203	5
10	237	5
11	237	5
0	237	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	203	10
10	237	10
11	237	10
0	237	10

Iter	Nodes	Cost
0	5	8
0	5	8
1	11	8
2	17	8
3	20	8
4	22	8
5	27	8
6	38	8
7	56	8
8	113	8
9	205	8
10	239	8
11	239	8
0	239	8

start0.0ms (0%)

analyze0.0ms (0%)

sample711.0ms (22.4%)

explain46.0ms (1.5%)

preprocess20.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify11.0ms (0.3%)

localize13.0ms (0.4%)

series2.0ms (0.1%)

simplify131.0ms (4.1%)

rewrite212.0ms (6.7%)

eval79.0ms (2.5%)

prune6.0ms (0.2%)

simplify9.0ms (0.3%)

localize26.0ms (0.8%)

series3.0ms (0.1%)

simplify171.0ms (5.4%)

rewrite270.0ms (8.5%)

eval138.0ms (4.3%)

prune5.0ms (0.2%)

simplify15.0ms (0.5%)

localize12.0ms (0.4%)

series1.0ms (0%)

simplify168.0ms (5.3%)

rewrite170.0ms (5.4%)

eval1.0ms (0%)

prune72.0ms (2.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch0.0ms (0%)

simplify89.0ms (2.8%)

soundness746.0ms (23.5%)

preprocess34.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	177	10
4	229	10
5	237	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	203	5
10	237	5
11	237	5
0	237	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	203	10
10	237	10
11	237	10
0	237	10

Iter	Nodes	Cost
0	5	8
0	5	8
1	11	8
2	17	8
3	20	8
4	22	8
5	27	8
6	38	8
7	56	8
8	113	8
9	205	8
10	239	8
11	239	8
0	239	8