Metrics for sqrt sqr

analyze3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample2.0s (75.6%)

Memory

25.0MiB live, 2 114.2MiB allocated

Samples

1.0s	4 173×	2	valid
323.0ms	4 083×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-div: 348.0ms (31.8% of total)

ival-mult: 232.0ms (21.2% of total)

adjust: 217.0ms (19.8% of total)

ival-sqrt: 166.0ms (15.2% of total)

ival-sub: 113.0ms (10.3% of total)

exact: 10.0ms (0.9% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess48.0ms (1.8%)

Memory

19.2MiB live, 56.9MiB allocated

Algorithm

1×	egg-herbie

Rules

152×	`lower-fma.f64`
152×	`lower-fma.f32`
120×	`lower-*.f32`
116×	`lower-*.f64`
56×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	39	14
2	111	12
3	220	12
4	313	12
5	364	12
6	375	12
7	376	12
0	8	12
0	14	8
1	28	6
2	51	6
3	79	6
4	102	6
5	134	6
6	157	6
7	183	6
8	202	6
9	209	6
10	216	6
11	231	6
12	311	6
13	331	6
14	336	6
0	336	6

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))

explain164.0ms (6.2%)

Memory

-21.4MiB live, 253.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
127	-	5	(1.3761461016398768e-158)	`(sqrt.f64 (*.f64 x x))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
0	-	0	-	`(/.f64 x x)`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (*.f64 x x))`	uflow-rescue	63	0
↳	`(*.f64 x x)`	underflow	63
`sqrt.f64`	`(sqrt.f64 (*.f64 x x))`	oflow-rescue	59	0
↳	`(*.f64 x x)`	overflow	59

Confusion

	Predicted +	Predicted -
+	122	15
-	0	119

Precision

1.0

Recall

0.8905109489051095

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	15
-	0	0	119

Precision?

1.0

Recall?

0.8905109489051095

Freqs

test

number	freq
0	134
1	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms	240×	2	valid
18.0ms	272×	0	valid

Compiler

Compiled 100 to 36 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 29.0ms (47.5% of total)

ival-div: 13.0ms (21.3% of total)

ival-sqrt: 8.0ms (13.1% of total)

adjust: 5.0ms (8.2% of total)

ival-sub: 5.0ms (8.2% of total)

exact: 1.0ms (1.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify17.0ms (0.6%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))
✓	cost-diff	704	(/.f64 x x)
✓	cost-diff	832	(sqrt.f64 (*.f64 x x))

Rules

152×	`lower-fma.f64`
152×	`lower-fma.f32`
120×	`lower-*.f32`
116×	`lower-*.f64`
56×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	35
0	14	25
1	28	21
2	51	21
3	79	21
4	102	21
5	134	21
6	157	21
7	183	21
8	202	21
9	209	21
10	216	21
11	231	21
12	311	21
13	331	21
14	336	21
0	336	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (3.1%)

Memory

-8.4MiB live, 66.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))
✓	accuracy	55.1%	(sqrt.f64 (*.f64 x x))

Samples

26.0ms	136×	0	valid
22.0ms	120×	2	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 22.0ms (58% of total)

ival-div: 7.0ms (18.4% of total)

ival-sqrt: 4.0ms (10.5% of total)

adjust: 2.0ms (5.3% of total)

ival-sub: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

15 calls:

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

rewrite84.0ms (3.2%)

Memory

-15.4MiB live, 74.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

206×	`lower-*.f32`
204×	`lower-*.f64`
108×	`lower-/.f32`
106×	`lower-/.f64`
84×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	14	15
1	66	7
2	373	7
0	719	7

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 51

Calls

Call 1

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

Outputs
x
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 x))))
(fabs.f64 x)
(fabs.f64 (neg.f64 x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 x))
(sqrt.f64 (*.f64 x x))
(neg.f64 (neg.f64 x))
(/.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (neg.f64 x) #s(literal -1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))

simplify5.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
6×	`lower-*.f64`
6×	`lower-fma.f64`
6×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	88
1	11	88
2	12	88
3	13	88
4	15	88
5	17	88
6	21	88
7	30	88
8	33	88
0	33	88

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 52

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
-1
-1
-1
-1
0
0
0
0
0
0
0
0
2
2
2
2
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
x
x
x
x
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval13.0ms (0.5%)

Memory: -9.2MiB live, 28.2MiB allocated
Compiler: Compiled 1 033 to 196 computations (81% saved)

prune7.0ms (0.2%)

Memory

20.9MiB live, 20.9MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	2	104

Accuracy

100.0%

Counts

104 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	#s(literal 2 binary64)
▶	48.5%	#s(literal 0 binary64)

Compiler

Compiled 4 to 4 computations (0% saved)

simplify5.0ms (0.2%)

Memory

-31.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
0	2	2
0	2	2

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)

Outputs
#s(literal 0 binary64)
#s(literal 2 binary64)

localize7.0ms (0.3%)

Memory

19.2MiB live, 19.2MiB allocated

Samples

4.0ms

256×

valid

Compiler

Compiled 4 to 5 computations (-25% saved)

Precisions

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

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite9.0ms (0.3%)

Memory

-20.5MiB live, 18.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Accuracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.6%	#s(literal 2 binary64)
✓	48.5%	#s(literal 0 binary64)

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Outputs
#s(literal 2 binary64)
#s(literal 0 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	2	`x`
91.7%	2	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.5%	1	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
48.5%	1	`x`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch68.0ms (2.6%)

Memory

-5.6MiB live, 76.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
64.0ms	-1.1656432666380496e-307	2.2773320959295517e-281

Samples

56.0ms	144×	2	valid
2.0ms	32×	0	valid

Compiler

Compiled 82 to 78 computations (4.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 36.0ms (69.7% of total)

ival-mult: 7.0ms (13.5% of total)

ival-sqrt: 4.0ms (7.7% of total)

adjust: 3.0ms (5.8% of total)

ival-sub: 2.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify31.0ms (1.2%)

Memory

-26.7MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))

#s(literal 0 binary64)

Outputs

(if (<=.f64 x #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))

#s(literal 0 binary64)

soundness57.0ms (2.1%)

Memory

2.2MiB live, 79.1MiB allocated

Rules

206×	`lower-*.f32`
204×	`lower-*.f64`
108×	`lower-/.f32`
106×	`lower-/.f64`
84×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	14	15
1	66	7
2	373	7
0	719	7
0	7	88
1	11	88
2	12	88
3	13	88
4	15	88
5	17	88
6	21	88
7	30	88
8	33	88
0	33	88

Stop Event

1×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Compiler

Compiled 14 to 12 computations (14.3% saved)

preprocess35.0ms (1.3%)

Memory: 11.7MiB live, 85.9MiB allocated
Compiler: Compiled 56 to 38 computations (32.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	21
1	39	14
2	111	12
3	220	12
4	313	12
5	364	12
6	375	12
7	376	12
0	8	12
0	14	8
1	28	6
2	51	6
3	79	6
4	102	6
5	134	6
6	157	6
7	183	6
8	202	6
9	209	6
10	216	6
11	231	6
12	311	6
13	331	6
14	336	6
0	336	6

Iter	Nodes	Cost
0	8	35
0	14	25
1	28	21
2	51	21
3	79	21
4	102	21
5	134	21
6	157	21
7	183	21
8	202	21
9	209	21
10	216	21
11	231	21
12	311	21
13	331	21
14	336	21
0	336	21

Iter	Nodes	Cost
0	8	30
0	14	15
1	66	7
2	373	7
0	719	7
0	7	88
1	11	88
2	12	88
3	13	88
4	15	88
5	17	88
6	21	88
7	30	88
8	33	88
0	33	88

Iter	Nodes	Cost
0	10	21
1	39	14
2	111	12
3	220	12
4	313	12
5	364	12
6	375	12
7	376	12
0	8	12
0	14	8
1	28	6
2	51	6
3	79	6
4	102	6
5	134	6
6	157	6
7	183	6
8	202	6
9	209	6
10	216	6
11	231	6
12	311	6
13	331	6
14	336	6
0	336	6

Iter	Nodes	Cost
0	8	35
0	14	25
1	28	21
2	51	21
3	79	21
4	102	21
5	134	21
6	157	21
7	183	21
8	202	21
9	209	21
10	216	21
11	231	21
12	311	21
13	331	21
14	336	21
0	336	21

Iter	Nodes	Cost
0	8	30
0	14	15
1	66	7
2	373	7
0	719	7
0	7	88
1	11	88
2	12	88
3	13	88
4	15	88
5	17	88
6	21	88
7	30	88
8	33	88
0	33	88

analyze3.0ms (0.1%)

sample2.0s (75.6%)

preprocess48.0ms (1.8%)

explain164.0ms (6.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.6%)

localize83.0ms (3.1%)

series2.0ms (0.1%)

rewrite84.0ms (3.2%)

simplify5.0ms (0.2%)

eval13.0ms (0.5%)

prune7.0ms (0.2%)

simplify5.0ms (0.2%)

localize7.0ms (0.3%)

series0.0ms (0%)

rewrite9.0ms (0.3%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch68.0ms (2.6%)

simplify31.0ms (1.2%)

soundness57.0ms (2.1%)

preprocess35.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	21
1	39	14
2	111	12
3	220	12
4	313	12
5	364	12
6	375	12
7	376	12
0	8	12
0	14	8
1	28	6
2	51	6
3	79	6
4	102	6
5	134	6
6	157	6
7	183	6
8	202	6
9	209	6
10	216	6
11	231	6
12	311	6
13	331	6
14	336	6
0	336	6

Iter	Nodes	Cost
0	8	35
0	14	25
1	28	21
2	51	21
3	79	21
4	102	21
5	134	21
6	157	21
7	183	21
8	202	21
9	209	21
10	216	21
11	231	21
12	311	21
13	331	21
14	336	21
0	336	21

Iter	Nodes	Cost
0	8	30
0	14	15
1	66	7
2	373	7
0	719	7
0	7	88
1	11	88
2	12	88
3	13	88
4	15	88
5	17	88
6	21	88
7	30	88
8	33	88
0	33	88