sqrt sqr

Time bar (total: 2.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample1.7s (65.4%)

Memory
61.1MiB live, 1 675.5MiB allocated
Samples
987.0ms4 086×2valid
310.0ms4 170×0valid
Precisions
Click to see histograms. Total time spent on operations: 989.0ms
ival-sqrt: 245.0ms (24.8% of total)
ival-div: 231.0ms (23.4% of total)
adjust: 215.0ms (21.7% of total)
ival-mult: 204.0ms (20.6% of total)
ival-sub: 80.0ms (8.1% of total)
ival-true: 6.0ms (0.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain342.0ms (12.9%)

Memory
-12.2MiB live, 259.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-1(-1.9695603910690047e-158)(sqrt.f64 (*.f64 x x))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
0127(1.096558628699703e+214)0-(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
00-0-(/.f64 x x)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))cancellation1270
sqrt.f64(sqrt.f64 (*.f64 x x))uflow-rescue670
(*.f64 x x)underflow67
sqrt.f64(sqrt.f64 (*.f64 x x))oflow-rescue580
(*.f64 x x)overflow58
Confusion
Predicted +Predicted -
+1331
-5369
Precision
0.7150537634408602
Recall
0.9925373134328358
Confusion?
Predicted +Predicted MaybePredicted -
+13301
-53069
Precision?
0.7150537634408602
Recall?
0.9925373134328358
Freqs
test
numberfreq
070
1120
266
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
93.0ms254×2valid
18.0ms258×0valid
Compiler

Compiled 156 to 50 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-sqrt: 18.0ms (33.9% of total)
ival-mult: 12.0ms (22.6% of total)
ival-div: 11.0ms (20.7% of total)
adjust: 7.0ms (13.2% 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)

preprocess50.0ms (1.9%)

Memory
-5.3MiB live, 43.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
13914
211112
322012
431312
536412
637512
737612
0812
0148
1286
2516
3796
41026
51346
61576
71836
82026
92096
102166
112316
123116
133316
143366
03366
Stop Event
iter limit
saturated
iter limit
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
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(-.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)

simplify17.0ms (0.6%)

Memory
-11.4MiB live, 25.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
cost-diff704
(/.f64 x x)
cost-diff832
(sqrt.f64 (*.f64 x x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0835
01425
12821
25121
37921
410221
513421
615721
718321
820221
920921
1021621
1123121
1231121
1333121
1433621
033621
Stop Event
iter limit
saturated
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)

localize43.0ms (1.6%)

Memory
31.7MiB live, 103.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
accuracy0
(*.f64 x x)
accuracy0.16015625
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
accuracy29.249392167578772
(sqrt.f64 (*.f64 x x))
Samples
23.0ms127×2valid
12.0ms129×0valid
Compiler

Compiled 72 to 18 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 8.0ms (33.3% of total)
ival-mult: 7.0ms (29.1% of total)
adjust: 3.0ms (12.5% of total)
ival-sqrt: 3.0ms (12.5% of total)
ival-sub: 2.0ms (8.3% 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
5.0MiB live, 5.0MiB allocated
Counts
5 → 7
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
1
0
(pow x 2)
(* -1 x)
-1
2
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((sqrt (* x x)) (/ x x) (* (/ 1 x) (sqrt (* x x))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))
1.0ms
x
@-inf
((sqrt (* x x)) (/ x x) (* (/ 1 x) (sqrt (* x x))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))
0.0ms
x
@0
((sqrt (* x x)) (/ x x) (* (/ 1 x) (sqrt (* x x))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))

simplify7.0ms (0.3%)

Memory
-44.6MiB live, 4.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21210
31310
41510
51710
62110
73010
83310
03310
Stop Event
iter limit
saturated
Counts
7 → 6
Calls
Call 1
Inputs
x
1
0
(pow x 2)
(* -1 x)
-1
2
Outputs
x
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)

rewrite73.0ms (2.8%)

Memory
15.9MiB live, 90.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
01415
1667
23737
07197
Stop Event
iter limit
iter limit
iter limit
unsound
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
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x #s(literal 1 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (*.f64 x x))
(-.f64 #s(literal 0 binary64) (neg.f64 x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
x
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval6.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated
Compiler

Compiled 734 to 215 computations (70.7% saved)

prune2.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New54256
Fresh000
Picked101
Done000
Total55257
Accuracy
100.0%
Counts
57 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
51.2%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify21.0ms (0.8%)

Memory
-20.2MiB live, 17.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
cost-diff0
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01230
01222
12418
24718
37518
49918
513118
615418
718018
819918
920618
1021318
1122818
1230618
1332618
1433118
033118
Stop Event
iter limit
saturated
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)

localize49.0ms (1.9%)

Memory
32.9MiB live, 104.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy30.757812500000004
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
accuracy31.242187500000004
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Samples
31.0ms127×2valid
11.0ms129×0valid
Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 9.0ms (26.4% of total)
ival-mult: 9.0ms (26.4% of total)
ival-sub: 9.0ms (26.4% of total)
adjust: 3.0ms (8.8% of total)
ival-sqrt: 3.0ms (8.8% 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
1.2MiB live, 1.2MiB 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:

TimeVariablePointExpression
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)))))

simplify3.0ms (0.1%)

Memory
-27.2MiB live, 10.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
022
Stop Event
saturated
saturated
Counts
2 → 2
Calls
Call 1
Inputs
0
2
Outputs
0
#s(literal 0 binary64)
2
#s(literal 2 binary64)

rewrite164.0ms (6.2%)

Memory
-15.1MiB live, 88.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01228
01220
1616
23696
07166
Stop Event
iter limit
iter limit
iter limit
unsound
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0.1%)

Memory
0.9MiB live, 0.9MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New202
Fresh000
Picked022
Done000
Total224
Accuracy
100.0%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
51.2%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 68 to 39 computations (42.6% saved)

regimes4.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB 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:

2.0ms
x
1.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Results
AccuracySegmentsBranch
100.0%2x
89.4%2(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes3.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB 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
AccuracySegmentsBranch
51.2%1(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
51.2%1x
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch64.0ms (2.4%)

Memory
-6.7MiB live, 30.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
61.0ms
-3.294861244764738e-304
9.892210659026104e-307
Samples
46.0ms80×0valid
10.0ms64×2valid
Compiler

Compiled 267 to 210 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (27.4% of total)
ival-mult: 3.0ms (27.4% of total)
adjust: 2.0ms (18.3% of total)
ival-sqrt: 2.0ms (18.3% of total)
ival-sub: 1.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify32.0ms (1.2%)

Memory
6.0MiB live, 42.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01546
11746
Stop Event
saturated
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))

soundness4.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21210
31310
41510
51710
62110
73010
83310
03310
Stop Event
done
iter limit
saturated
Compiler

Compiled 49 to 21 computations (57.1% saved)

preprocess24.0ms (0.9%)

Memory
10.2MiB live, 47.5MiB allocated
Compiler

Compiled 128 to 56 computations (56.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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