Metrics for Data.Random.Distribution.Normal:doubleStdNormalZ from random-fu-0.2.6.2

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample393.0ms (24.6%)

Memory

38.8MiB live, 833.8MiB allocated

Samples

256.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-add: 55.0ms (48% of total)

ival-sub: 49.0ms (42.8% of total)

ival-true: 5.0ms (4.4% of total)

...in/eval/compile.rkt:110:19: 3.0ms (2.6% of total)

ival-assert: 3.0ms (2.6% of total)

Bogosity

preprocess58.0ms (3.6%)

Memory

-2.4MiB live, 77.9MiB allocated

Algorithm

1×	egg-herbie

Rules

148×	`fmm-def`
32×	`fma-define`
32×	`sub-neg`
31×	`cancel-sign-sub-inv`
24×	`associate-+l-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	35	60
2	94	52
3	211	48
4	361	48
5	488	48
6	525	48
7	542	48
8	544	48

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(-.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal -1 binary64))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))
(neg.f64 (-.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (+.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))

explain51.0ms (3.2%)

Memory

-2.7MiB live, 71.0MiB allocated

FPErrors

Click to see full error table

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

16.0ms

512×

valid

Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions

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

ival-sub: 3.0ms (49.6% of total)

ival-add: 3.0ms (49.6% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 14 to 7 computations (50% saved)

prune1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify22.0ms (1.4%)

Memory

-23.0MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 (+.f64 x x) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x x)

Rules

85×	`fmm-def`
18×	`sub-neg`
15×	`cancel-sign-sub`
13×	`cancel-sign-sub-inv`
10×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	21	27
2	27	27
3	33	27
4	37	27
5	46	27
6	77	27
7	171	27
8	272	27
9	325	27
10	337	27
11	338	27

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 1 binary64)

localize13.0ms (0.8%)

Memory

19.5MiB live, 19.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (+.f64 x x) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x x)

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (33.3% of total)

ival-add: 1.0ms (33.3% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

2 → 24

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))>

Calls

6 calls:

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

rewrite199.0ms (12.4%)

Memory

-17.4MiB live, 220.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

684×	`prod-diff`
367×	`log1p-expm1-u`
367×	`expm1-log1p-u`
348×	`add-exp-log`
335×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	94	20
2	1404	20

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

simplify35.0ms (2.2%)

Memory

2.5MiB live, 39.0MiB allocated

Algorithm

1×	egg-herbie

Rules

82×	`fma-define`
29×	`fmm-def`
21×	`distribute-rgt-in`
20×	`distribute-lft-in`
18×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	313
1	65	313
2	101	313
3	168	313
4	189	313
5	251	313
6	330	313
7	365	313
8	384	313
9	422	313
10	423	313

Stop Event

1×

saturated

Counts

88 → 37

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

eval4.0ms (0.3%)

Memory: 8.8MiB live, 8.8MiB allocated
Compiler: Compiled 125 to 73 computations (41.6% saved)

prune8.0ms (0.5%)

Memory

19.2MiB live, 19.2MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	31	6	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Accuracy

100.0%

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x x) #s(literal 1 binary64))
	2.5%	(-.f64 #s(literal 512 binary64) #s(literal 1 binary64))
▶	11.9%	(-.f64 #s(literal 1/3 binary64) #s(literal 1 binary64))
▶	12.7%	(-.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))
▶	13.2%	(-.f64 #s(literal 1/9 binary64) #s(literal 1 binary64))
▶	10.6%	(-.f64 #s(literal -3 binary64) #s(literal 1 binary64))
▶	52.4%	#s(literal -1 binary64)

Compiler

Compiled 50 to 48 computations (4% saved)

simplify10.0ms (0.6%)

Memory

-30.5MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 #s(literal 1/3 binary64) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1/9 binary64) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal -3 binary64) #s(literal 1 binary64))

Rules

3× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	13
1	22	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1/9 binary64) #s(literal 1 binary64))
#s(literal 1/9 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1/3 binary64) #s(literal 1 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)

Outputs
#s(literal -1 binary64)
(-.f64 #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1/9 binary64) #s(literal 1 binary64))
#s(literal -8/9 binary64)
#s(literal 1/9 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(literal -5/6 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1/3 binary64) #s(literal 1 binary64))
#s(literal -2/3 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)

localize324.0ms (20.2%)

Memory

13.5MiB live, 59.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(-.f64 #s(literal 1/3 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1/9 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -3 binary64) #s(literal 1 binary64))

Samples

312.0ms

256×

valid

Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

...in/eval/compile.rkt:111:19: 8.0ms (59.4% of total)

ival-sub: 5.0ms (37.1% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Counts

4 → 0

Calls

Call 1

Inputs
#<alt (-.f64 #s(literal -3 binary64) #s(literal 1 binary64))>
#<alt (-.f64 #s(literal 1/9 binary64) #s(literal 1 binary64))>
#<alt (-.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))>
#<alt (-.f64 #s(literal 1/3 binary64) #s(literal 1 binary64))>

Outputs

rewrite25.0ms (1.6%)

Memory

-12.0MiB live, 26.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	4
1	21	4

Stop Event

1×

saturated

Counts

4 → 4

Calls

Call 1

Inputs
(-.f64 #s(literal -3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1/9 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1/3 binary64) #s(literal 1 binary64))

Outputs
#s(literal -4 binary64)
#s(literal -8/9 binary64)
#s(literal -5/6 binary64)
#s(literal -2/3 binary64)

simplify5.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4

Stop Event

1×

saturated

Counts

4 → 4

Calls

Call 1

Inputs
#s(literal -4 binary64)
#s(literal -8/9 binary64)
#s(literal -5/6 binary64)
#s(literal -2/3 binary64)

Outputs
#s(literal -4 binary64)
#s(literal -8/9 binary64)
#s(literal -5/6 binary64)
#s(literal -2/3 binary64)

eval1.0ms (0%)

Memory: 2.0MiB live, 2.0MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune4.0ms (0.3%)

Memory

14.2MiB live, 14.2MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	0	4	4
Fresh	0	1	1
Picked	4	1	5
Done	0	1	1
Total	4	7	11

Accuracy

100.0%

Counts

11 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x x) #s(literal 1 binary64))
▶	2.5%	(-.f64 #s(literal 512 binary64) #s(literal 1 binary64))
▶	11.9%	#s(literal -2/3 binary64)
▶	12.7%	#s(literal -5/6 binary64)
▶	13.2%	#s(literal -8/9 binary64)
✓	52.4%	#s(literal -1 binary64)
▶	10.6%	#s(literal -4 binary64)

Compiler

Compiled 32 to 30 computations (6.3% saved)

simplify8.0ms (0.5%)

Memory

-27.4MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 #s(literal 512 binary64) #s(literal 1 binary64))

Rules

3× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	16	7

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal -8/9 binary64)
#s(literal -4 binary64)
#s(literal -5/6 binary64)
#s(literal -2/3 binary64)
(-.f64 #s(literal 512 binary64) #s(literal 1 binary64))
#s(literal 512 binary64)
#s(literal 1 binary64)

Outputs
#s(literal -8/9 binary64)
#s(literal -4 binary64)
#s(literal -5/6 binary64)
#s(literal -2/3 binary64)
(-.f64 #s(literal 512 binary64) #s(literal 1 binary64))
#s(literal 511 binary64)
#s(literal 512 binary64)
#s(literal 1 binary64)

localize236.0ms (14.7%)

Memory

15.7MiB live, 53.5MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 512 binary64) #s(literal 1 binary64))

Samples

229.0ms

256×

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

...in/eval/compile.rkt:111:19: 220.0ms (99.2% of total)

ival-sub: 1.0ms (0.5% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (-.f64 #s(literal 512 binary64) #s(literal 1 binary64))>

Outputs

rewrite30.0ms (1.9%)

Memory

-15.6MiB live, 30.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	12	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 512 binary64) #s(literal 1 binary64))

Outputs
#s(literal 511 binary64)

simplify5.0ms (0.3%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 511 binary64)

Outputs
#s(literal 511 binary64)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	1	7	8

Accuracy

100.0%

Counts

8 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x x) #s(literal 1 binary64))
▶	2.5%	#s(literal 511 binary64)
✓	11.9%	#s(literal -2/3 binary64)
✓	12.7%	#s(literal -5/6 binary64)
✓	13.2%	#s(literal -8/9 binary64)
✓	52.4%	#s(literal -1 binary64)
✓	10.6%	#s(literal -4 binary64)

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify5.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal 511 binary64)

Outputs
#s(literal 511 binary64)

localize14.0ms (0.9%)

Memory

-28.0MiB live, 10.8MiB allocated

Samples

4.0ms

256×

valid

Compiler

Compiled 3 to 4 computations (-33.3% saved)

Precisions

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

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

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

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x x) #s(literal 1 binary64))
✓	2.5%	#s(literal 511 binary64)
✓	11.9%	#s(literal -2/3 binary64)
✓	12.7%	#s(literal -5/6 binary64)
✓	13.2%	#s(literal -8/9 binary64)
✓	52.4%	#s(literal -1 binary64)
✓	10.6%	#s(literal -4 binary64)

Compiler

Compiled 45 to 36 computations (20% saved)

regimes14.0ms (0.9%)

Memory

-10.7MiB live, 28.3MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal -4 binary64)
#s(literal -1 binary64)
#s(literal -8/9 binary64)
#s(literal -5/6 binary64)
#s(literal -2/3 binary64)
#s(literal 511 binary64)
(-.f64 #s(literal -3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1/9 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 512 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x x) #s(literal 1 binary64))

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

Calls

3 calls:

4.0ms	(+.f64 x x)
4.0ms	x
4.0ms	(-.f64 (+.f64 x x) #s(literal 1 binary64))

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes5.0ms (0.3%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal -4 binary64)
#s(literal -1 binary64)
#s(literal -8/9 binary64)
#s(literal -5/6 binary64)
#s(literal -2/3 binary64)
#s(literal 511 binary64)
(-.f64 #s(literal -3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1/9 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 512 binary64) #s(literal 1 binary64))

Outputs
#s(literal -1 binary64)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
52.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -4 binary64)

Outputs
#s(literal -4 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
10.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.2%)

Memory

4.9MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`sub-neg`
1×	`*-rgt-identity`
1×	`*-commutative`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	18	21
2	21	21
3	24	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
#s(literal -1 binary64)
#s(literal -4 binary64)

Outputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(+.f64 (+.f64 x x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal -4 binary64)

soundness90.0ms (5.6%)

Memory

-7.6MiB live, 72.2MiB allocated

Rules

684×	`prod-diff`
367×	`log1p-expm1-u`
367×	`expm1-log1p-u`
348×	`add-exp-log`
335×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	4
1	21	4
0	8	20
1	94	20
2	1404	20

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess26.0ms (1.6%)

Memory: 13.0MiB live, 51.6MiB allocated
Compiler: Compiled 28 to 18 computations (35.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	31
1	21	27
2	27	27
3	33	27
4	37	27
5	46	27
6	77	27
7	171	27
8	272	27
9	325	27
10	337	27
11	338	27

Iter	Nodes	Cost
0	45	313
1	65	313
2	101	313
3	168	313
4	189	313
5	251	313
6	330	313
7	365	313
8	384	313
9	422	313
10	423	313

Iter	Nodes	Cost
0	8	31
1	21	27
2	27	27
3	33	27
4	37	27
5	46	27
6	77	27
7	171	27
8	272	27
9	325	27
10	337	27
11	338	27

Iter	Nodes	Cost
0	45	313
1	65	313
2	101	313
3	168	313
4	189	313
5	251	313
6	330	313
7	365	313
8	384	313
9	422	313
10	423	313

analyze0.0ms (0%)

sample393.0ms (24.6%)

preprocess58.0ms (3.6%)

explain51.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify22.0ms (1.4%)

localize13.0ms (0.8%)

series2.0ms (0.1%)

rewrite199.0ms (12.4%)

simplify35.0ms (2.2%)

eval4.0ms (0.3%)

prune8.0ms (0.5%)

simplify10.0ms (0.6%)

localize324.0ms (20.2%)

series0.0ms (0%)

rewrite25.0ms (1.6%)

simplify5.0ms (0.3%)

eval1.0ms (0%)

prune4.0ms (0.3%)

simplify8.0ms (0.5%)

localize236.0ms (14.7%)

series0.0ms (0%)

rewrite30.0ms (1.9%)

simplify5.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.2%)

simplify5.0ms (0.3%)

localize14.0ms (0.9%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes14.0ms (0.9%)

regimes5.0ms (0.3%)

regimes2.0ms (0.1%)

simplify3.0ms (0.2%)

soundness90.0ms (5.6%)

preprocess26.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	31
1	21	27
2	27	27
3	33	27
4	37	27
5	46	27
6	77	27
7	171	27
8	272	27
9	325	27
10	337	27
11	338	27

Iter	Nodes	Cost
0	45	313
1	65	313
2	101	313
3	168	313
4	189	313
5	251	313
6	330	313
7	365	313
8	384	313
9	422	313
10	423	313