Metrics for sqrt sqr

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB 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)

sample1.6s (54.7%)

Memory

79.3MiB live, 1 462.5MiB allocated; 955ms collecting garbage

Samples

698.0ms	4 167×	2	valid
315.0ms	4 089×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 792.0ms

ival-mult: 244.0ms (30.8% of total)

ival-div: 181.0ms (22.9% of total)

adjust: 180.0ms (22.7% of total)

ival-sub: 88.0ms (11.1% of total)

ival-sqrt: 86.0ms (10.9% of total)

ival-true: 5.0ms (0.6% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain181.0ms (6%)

Memory

-26.0MiB live, 183.8MiB allocated; 33ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
132	-	4	(-3.1747645779673693e-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	65	0
↳	`(*.f64 x x)`	underflow	65
`sqrt.f64`	`(sqrt.f64 (*.f64 x x))`	oflow-rescue	63	0
↳	`(*.f64 x x)`	overflow	63

Confusion

	Predicted +	Predicted -
+	128	11
-	0	117

Precision

1.0

Recall

0.920863309352518

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	11
-	0	0	117

Precision?

1.0

Recall?

0.920863309352518

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	268×	2	valid
30.0ms	244×	0	valid

Compiler

Compiled 86 to 28 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-sqrt: 17.0ms (32% of total)

ival-div: 11.0ms (20.7% of total)

ival-mult: 11.0ms (20.7% of total)

adjust: 8.0ms (15.1% of total)

ival-sub: 5.0ms (9.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess161.0ms (5.3%)

Memory

-6.4MiB live, 98.0MiB allocated; 18ms 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

0.4MiB live, 0.4MiB 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)

simplify96.0ms (3.2%)

Memory

-1.3MiB live, 87.7MiB allocated; 8ms 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)

localize72.0ms (2.4%)

Memory

-37.2MiB live, 64.3MiB allocated; 12ms 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	0.14453125	(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x)))
accuracy	30.308605584304225	(sqrt.f64 (*.f64 x x))

Samples

24.0ms	134×	2	valid
8.0ms	122×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

adjust: 7.0ms (31% of total)

ival-div: 5.0ms (22.2% of total)

ival-mult: 5.0ms (22.2% of total)

ival-sqrt: 3.0ms (13.3% of total)

ival-sub: 2.0ms (8.9% 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

1.5MiB live, 1.5MiB 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))

simplify115.0ms (3.8%)

Memory

36.4MiB live, 81.4MiB allocated; 6ms 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)

rewrite53.0ms (1.8%)

Memory

10.5MiB live, 53.7MiB allocated; 7ms 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)))

eval7.0ms (0.2%)

Memory: -33.6MiB live, 7.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 310 to 97 computations (68.7% saved)

prune2.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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
▶	49.3%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
▶	53.8%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify94.0ms (3.1%)

Memory

18.5MiB live, 79.8MiB allocated; 5ms 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)

localize73.0ms (2.4%)

Memory

-2.6MiB live, 44.0MiB allocated; 7ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	32.45312500000001	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
accuracy	29.546875000000004	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Samples

45.0ms	122×	0	valid
20.0ms	134×	2	valid

Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-sqrt: 34.0ms (58.8% of total)

ival-mult: 11.0ms (19% of total)

ival-div: 5.0ms (8.6% of total)

adjust: 4.0ms (6.9% of total)

ival-sub: 2.0ms (3.5% 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; 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)))))

simplify171.0ms (5.7%)

Memory

-3.3MiB live, 86.7MiB allocated; 10ms 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)

rewrite97.0ms (3.2%)

Memory

8.2MiB live, 64.2MiB allocated; 11ms 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: 0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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
✓	49.3%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
✓	53.8%	#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

Compiler

Compiled 68 to 39 computations (42.6% saved)

regimes37.0ms (1.2%)

Memory

-32.1MiB live, 11.7MiB allocated; 6ms 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:

35.0ms	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)

regimes2.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms 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
53.8%	1	`(-.f64 (/.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (.f64 x x))))`
53.8%	1	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch27.0ms (0.9%)

Memory

14.4MiB live, 57.7MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-8.92899617083093e-307	5.244613611365673e-307

Samples

18.0ms	96×	2	valid
2.0ms	32×	0	valid

Compiler

Compiled 239 to 188 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 3.0ms (24.3% of total)

adjust: 3.0ms (24.3% of total)

ival-mult: 3.0ms (24.3% of total)

ival-sqrt: 2.0ms (16.2% of total)

ival-sub: 1.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

simplify45.0ms (1.5%)

Memory

-3.3MiB live, 41.8MiB 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))

derivations110.0ms (3.7%)

Memory

-25.4MiB live, 33.5MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 46 to 15 computations (67.4% saved)

preprocess15.0ms (0.5%)

Memory: 14.7MiB live, 14.6MiB 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%)

sample1.6s (54.7%)

explain181.0ms (6%)

preprocess161.0ms (5.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify96.0ms (3.2%)

localize72.0ms (2.4%)

series2.0ms (0.1%)

simplify115.0ms (3.8%)

rewrite53.0ms (1.8%)

eval7.0ms (0.2%)

prune2.0ms (0.1%)

simplify94.0ms (3.1%)

localize73.0ms (2.4%)

series0.0ms (0%)

simplify171.0ms (5.7%)

rewrite97.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes37.0ms (1.2%)

regimes2.0ms (0.1%)

bsearch27.0ms (0.9%)

simplify45.0ms (1.5%)

derivations110.0ms (3.7%)

preprocess15.0ms (0.5%)

end0.0ms (0%)

Profiling