Metrics for sqrt sqr

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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)

sample1.6s (73.4%)

Memory

100.9MiB live, 1 554.3MiB allocated

Samples

963.0ms	4 081×	2	valid
345.0ms	4 175×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-div: 514.0ms (49% of total)

ival-mult: 205.0ms (19.6% of total)

ival-sub: 127.0ms (12.1% of total)

adjust: 99.0ms (9.4% of total)

ival-sqrt: 90.0ms (8.6% of total)

ival-true: 5.0ms (0.5% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

explain199.0ms (9%)

Memory

-36.4MiB live, 254.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
110	-	5	(-3.8469343088843615e-162)	`(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	55	0
↳	`(*.f64 x x)`	underflow	55
`sqrt.f64`	`(sqrt.f64 (*.f64 x x))`	oflow-rescue	50	0
↳	`(*.f64 x x)`	overflow	50

Confusion

	Predicted +	Predicted -
+	105	15
-	0	136

Precision

1.0

Recall

0.875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	105	0	15
-	0	0	136

Precision?

1.0

Recall?

0.875

Freqs

test

number	freq
0	151
1	105

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms	284×	0	valid
40.0ms	228×	2	valid

Compiler

Compiled 86 to 28 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 13.0ms (33.1% of total)

ival-mult: 10.0ms (25.4% of total)

adjust: 5.0ms (12.7% of total)

ival-sqrt: 5.0ms (12.7% of total)

ival-sub: 4.0ms (10.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess28.0ms (1.3%)

Memory

38.3MiB live, 38.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	38	14
2	84	12
3	131	12
4	205	12
5	255	12
6	277	12
7	315	12
8	335	12
9	343	12
10	355	12
11	361	12
0	8	12
0	14	8
1	30	6
2	58	6
3	113	6
4	180	6
5	217	6
6	243	6
7	277	6
8	293	6
9	301	6
10	313	6
11	319	6
0	319	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))

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.9%	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify33.0ms (1.5%)

Memory

-54.8MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))
cost-diff	2	(sqrt.f64 (*.f64 x x))
cost-diff	2	(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))
cost-diff	2	(/.f64 x x)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	35
0	14	25
1	30	21
2	58	21
3	113	21
4	180	21
5	217	21
6	243	21
7	277	21
8	293	21
9	301	21
10	313	21
11	319	21
0	319	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)

localize49.0ms (2.2%)

Memory

7.6MiB live, 51.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))
accuracy	0.0	(*.f64 x x)
accuracy	0.1484375	(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))
accuracy	24.99528183122082	(sqrt.f64 (*.f64 x x))

Samples

20.0ms	114×	2	valid
9.0ms	142×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 5.0ms (27.9% of total)

ival-mult: 5.0ms (27.9% of total)

adjust: 3.0ms (16.7% of total)

ival-sub: 2.0ms (11.2% of total)

ival-sqrt: 2.0ms (11.2% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

5 → 7

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

((/ x x) (* (/ 1 x) (sqrt (* x x))) (sqrt (* x x)) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))

1.0ms

-inf

((/ x x) (* (/ 1 x) (sqrt (* x x))) (sqrt (* x x)) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))

0.0ms

((/ x x) (* (/ 1 x) (sqrt (* x x))) (sqrt (* x x)) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))

simplify4.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	15	10
3	37	10
4	88	10
5	115	10
6	118	10
0	118	10

Stop Event

1×	iter limit
1×	saturated

Counts

7 → 6

Calls

Call 1

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

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

rewrite64.0ms (2.9%)

Memory

-9.7MiB live, 33.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	14	15
1	59	7
0	367	7

Stop Event

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

Counts

5 → 34

Calls

Call 1

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

eval4.0ms (0.2%)

Memory: 6.4MiB live, 6.4MiB allocated
Compiler: Compiled 525 to 151 computations (71.2% saved)

prune1.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	2	40

Accuracy

100.0%

Counts

40 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.9%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
▶	46.3%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify11.0ms (0.5%)

Memory

11.3MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
0	12	22
1	29	18
2	57	18
3	112	18
4	178	18
5	215	18
6	241	18
7	275	18
8	291	18
9	299	18
10	311	18
11	317	18
0	317	18

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(literal 2 binary64)

localize32.0ms (1.5%)

Memory

22.9MiB live, 22.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	27.609375000000004	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
accuracy	34.39062500000001	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Samples

17.0ms	114×	2	valid
8.0ms	142×	0	valid

Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 5.0ms (28% of total)

ival-mult: 5.0ms (28% of total)

adjust: 3.0ms (16.8% of total)

ival-sub: 2.0ms (11.2% of total)

ival-sqrt: 2.0ms (11.2% of total)

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

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

exact: 0.0ms (0% of total)

series0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

Outputs
0
2

Calls

3 calls:

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

Time

Variable

Point

Expression

0.0ms

((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))))

0.0ms

-inf

((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))))

0.0ms

inf

((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))))

simplify32.0ms (1.4%)

Memory

-41.4MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
1	4	2
2	5	2
0	5	2

Stop Event

1×	saturated
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
0
2

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

rewrite23.0ms (1%)

Memory

41.8MiB live, 41.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
0	12	20
1	58	6
0	365	6

Stop Event

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

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	2	0	2
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	2	2	4

Accuracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.9%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
✓	46.3%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 68 to 39 computations (42.6% saved)

regimes14.0ms (0.6%)

Memory

-46.9MiB live, 4.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

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

Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Calls

2 calls:

12.0ms	x
1.0ms	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Results

Accuracy	Segments	Branch
89.8%	2	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
100.0%	2	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes2.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #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
46.3%	1	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
46.3%	1	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch19.0ms (0.9%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-1.774303781758705e-308	1.7010978263695337e-306

Samples

11.0ms	80×	2	valid
2.0ms	32×	0	valid

Compiler

Compiled 211 to 166 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (32.3% of total)

adjust: 2.0ms (21.5% of total)

ival-mult: 2.0ms (21.5% of total)

ival-sub: 1.0ms (10.8% of total)

ival-sqrt: 1.0ms (10.8% of total)

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

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

exact: 0.0ms (0% of total)

simplify18.0ms (0.8%)

Memory

25.9MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	32	28
2	59	28
3	122	28
4	285	28
5	651	28
6	1019	28
7	1097	28
8	1214	28
9	1218	28
10	1218	28

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)))

#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Outputs

(if (<=.f64 x #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)))

#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

derivations16.0ms (0.7%)

Memory

-31.4MiB live, 10.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	15	10
3	37	10
4	88	10
5	115	10
6	118	10
0	118	10

Stop Event

1×	done
1×	iter limit
1×	saturated

Compiler

Compiled 46 to 15 computations (67.4% saved)

preprocess31.0ms (1.4%)

Memory: 3.9MiB live, 49.1MiB allocated
Compiler: Compiled 128 to 56 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	21
1	38	14
2	84	12
3	131	12
4	205	12
5	255	12
6	277	12
7	315	12
8	335	12
9	343	12
10	355	12
11	361	12
0	8	12
0	14	8
1	30	6
2	58	6
3	113	6
4	180	6
5	217	6
6	243	6
7	277	6
8	293	6
9	301	6
10	313	6
11	319	6
0	319	6

Iter	Nodes	Cost
0	8	35
0	14	25
1	30	21
2	58	21
3	113	21
4	180	21
5	217	21
6	243	21
7	277	21
8	293	21
9	301	21
10	313	21
11	319	21
0	319	21

Iter	Nodes	Cost
0	12	30
0	12	22
1	29	18
2	57	18
3	112	18
4	178	18
5	215	18
6	241	18
7	275	18
8	291	18
9	299	18
10	311	18
11	317	18
0	317	18

Iter	Nodes	Cost
0	10	21
1	38	14
2	84	12
3	131	12
4	205	12
5	255	12
6	277	12
7	315	12
8	335	12
9	343	12
10	355	12
11	361	12
0	8	12
0	14	8
1	30	6
2	58	6
3	113	6
4	180	6
5	217	6
6	243	6
7	277	6
8	293	6
9	301	6
10	313	6
11	319	6
0	319	6

Iter	Nodes	Cost
0	8	35
0	14	25
1	30	21
2	58	21
3	113	21
4	180	21
5	217	21
6	243	21
7	277	21
8	293	21
9	301	21
10	313	21
11	319	21
0	319	21

Iter	Nodes	Cost
0	12	30
0	12	22
1	29	18
2	57	18
3	112	18
4	178	18
5	215	18
6	241	18
7	275	18
8	291	18
9	299	18
10	311	18
11	317	18
0	317	18

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.6s (73.4%)

explain199.0ms (9%)

preprocess28.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify33.0ms (1.5%)

localize49.0ms (2.2%)

series2.0ms (0.1%)

simplify4.0ms (0.2%)

rewrite64.0ms (2.9%)

eval4.0ms (0.2%)

prune1.0ms (0.1%)

simplify11.0ms (0.5%)

localize32.0ms (1.5%)

series0.0ms (0%)

simplify32.0ms (1.4%)

rewrite23.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes14.0ms (0.6%)

regimes2.0ms (0.1%)

bsearch19.0ms (0.9%)

simplify18.0ms (0.8%)

derivations16.0ms (0.7%)

preprocess31.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	21
1	38	14
2	84	12
3	131	12
4	205	12
5	255	12
6	277	12
7	315	12
8	335	12
9	343	12
10	355	12
11	361	12
0	8	12
0	14	8
1	30	6
2	58	6
3	113	6
4	180	6
5	217	6
6	243	6
7	277	6
8	293	6
9	301	6
10	313	6
11	319	6
0	319	6

Iter	Nodes	Cost
0	8	35
0	14	25
1	30	21
2	58	21
3	113	21
4	180	21
5	217	21
6	243	21
7	277	21
8	293	21
9	301	21
10	313	21
11	319	21
0	319	21

Iter	Nodes	Cost
0	12	30
0	12	22
1	29	18
2	57	18
3	112	18
4	178	18
5	215	18
6	241	18
7	275	18
8	291	18
9	299	18
10	311	18
11	317	18
0	317	18