Metrics for sqrt sqr

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

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)

sample1.9s (55.3%)

Memory

62.9MiB live, 1 535.5MiB allocated; 1.1s collecting garbage

Samples

838.0ms	4 140×	2	valid
651.0ms	4 116×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-sqrt: 395.0ms (32.9% of total)

ival-mult: 251.0ms (20.9% of total)

ival-div: 239.0ms (19.9% of total)

adjust: 184.0ms (15.3% of total)

ival-sub: 118.0ms (9.8% of total)

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

exact: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain185.0ms (5.3%)

Memory

-16.6MiB live, 149.7MiB allocated; 26ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
127	-	1	(5.646575909825227e-160)	`(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	65	0
↳	`(*.f64 x x)`	underflow	65
`sqrt.f64`	`(sqrt.f64 (*.f64 x x))`	oflow-rescue	61	0
↳	`(*.f64 x x)`	overflow	61

Confusion

	Predicted +	Predicted -
+	126	12
-	0	118

Precision

1.0

Recall

0.9130434782608695

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	12
-	0	0	118

Precision?

1.0

Recall?

0.9130434782608695

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms	226×	2	valid
19.0ms	286×	0	valid

Compiler

Compiled 86 to 28 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 11.0ms (27.6% of total)

ival-mult: 11.0ms (27.6% of total)

adjust: 7.0ms (17.5% of total)

ival-sub: 5.0ms (12.5% of total)

ival-sqrt: 5.0ms (12.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess197.0ms (5.6%)

Memory

-29.4MiB live, 116.9MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	38	14
2	106	12
3	244	12
4	1253	12
5	5913	12
0	8	12
0	14	8
1	30	6
2	64	6
3	184	6
4	1061	6
5	6955	6
0	8061	6

Stop Event

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

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(-.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)

simplify93.0ms (2.7%)

Memory

31.8MiB live, 117.1MiB allocated; 15ms collecting garbage

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	64	21
3	184	21
4	1061	21
5	6955	21
0	8061	21

Stop Event

1×	iter limit
1×	node limit
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)

localize94.0ms (2.7%)

Memory

-19.4MiB live, 40.6MiB allocated; 7ms collecting garbage

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	0.19140625	(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))
accuracy	29.407308109368998	(sqrt.f64 (*.f64 x x))

Samples

54.0ms	143×	0	valid
32.0ms	113×	2	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 51.0ms (66.1% of total)

adjust: 16.0ms (20.7% of total)

ival-mult: 5.0ms (6.5% of total)

ival-sqrt: 3.0ms (3.9% of total)

ival-sub: 2.0ms (2.6% 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; 0ms collecting garbage

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))

simplify135.0ms (3.9%)

Memory

-7.3MiB live, 80.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	21	10
3	54	10
4	186	10
5	1038	10
0	8198	10

Stop Event

1×	iter limit
1×	node limit

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)

rewrite58.0ms (1.7%)

Memory

-0.9MiB live, 45.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	14	15
1	59	7
0	438	7

Stop Event

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

Counts

5 → 18

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)
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 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) 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)))

eval2.0ms (0.1%)

Memory: 3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 310 to 97 computations (68.7% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	2	24

Accuracy

100.0%

Counts

24 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.2%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
▶	45.9%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify173.0ms (5%)

Memory

-1.7MiB live, 97.1MiB allocated; 13ms collecting garbage

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	66	18
3	191	18
4	1121	18
5	6109	18
0	8216	18

Stop Event

1×	iter limit
1×	node limit
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)

localize34.0ms (1%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	27.367187500000004	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
accuracy	34.63281250000001	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Samples

18.0ms	113×	2	valid
9.0ms	143×	0	valid

Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 5.0ms (25.8% of total)

ival-mult: 5.0ms (25.8% of total)

adjust: 3.0ms (15.5% of total)

ival-sqrt: 3.0ms (15.5% of total)

ival-sub: 2.0ms (10.3% 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

0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

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)))))

simplify181.0ms (5.2%)

Memory

-22.3MiB live, 71.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
1	4	2
2	6	2
3	11	2
4	31	2
5	108	2
6	561	2
7	4675	2
0	8408	2

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 2

Calls

Call 1

Inputs
0
2

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

rewrite82.0ms (2.4%)

Memory

1.0MiB live, 55.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
0	12	20
1	58	6
0	438	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: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

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
✓	57.2%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
✓	45.9%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 68 to 39 computations (42.6% saved)

regimes3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

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:

2.0ms	x
1.0ms	(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))

Results

Accuracy	Segments	Branch
87.9%	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)

regimes22.0ms (0.6%)

Memory

-38.3MiB live, 7.1MiB allocated; 3ms collecting garbage

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
45.9%	1	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
45.9%	1	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch64.0ms (1.8%)

Memory

10.1MiB live, 54.6MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
61.0ms	-8.606105924569595e-306	3.7372744041535747e-300

Samples

52.0ms	128×	2	valid
2.0ms	32×	0	valid

Compiler

Compiled 295 to 232 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

adjust: 34.0ms (72.3% of total)

ival-div: 4.0ms (8.5% of total)

ival-mult: 4.0ms (8.5% of total)

ival-sub: 2.0ms (4.3% of total)

ival-sqrt: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

simplify52.0ms (1.5%)

Memory

10.0MiB live, 56.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	32	28
2	68	28
3	217	28
4	1456	28
5	6299	28

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

derivations158.0ms (4.5%)

Memory

8.6MiB live, 61.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	21	10
3	54	10
4	186	10
5	1038	10
0	8198	10

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 46 to 15 computations (67.4% saved)

preprocess18.0ms (0.5%)

Memory: 16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 128 to 56 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.9s (55.3%)

explain185.0ms (5.3%)

preprocess197.0ms (5.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify93.0ms (2.7%)

localize94.0ms (2.7%)

series2.0ms (0.1%)

simplify135.0ms (3.9%)

rewrite58.0ms (1.7%)

eval2.0ms (0.1%)

prune1.0ms (0%)

simplify173.0ms (5%)

localize34.0ms (1%)

series0.0ms (0%)

simplify181.0ms (5.2%)

rewrite82.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes3.0ms (0.1%)

regimes22.0ms (0.6%)

bsearch64.0ms (1.8%)

simplify52.0ms (1.5%)

derivations158.0ms (4.5%)

preprocess18.0ms (0.5%)

end0.0ms (0%)

Profiling