sqrt sqr

Time bar (total: 11.1s)

analyze5.0ms (0%)

Algorithm
1×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 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (43.5% of total)
ival-mult: 1.0ms (43.5% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample6.6s (59.2%)

Results
3.7s4120×2valid
966.0ms4136×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.1s
ival-div: 1.3s (42.7% of total)
ival-mult: 980.0ms (31.5% of total)
ival-sqrt: 413.0ms (13.3% of total)
ival-sub: 208.0ms (6.7% of total)
backward-pass: 150.0ms (4.8% of total)
const: 29.0ms (0.9% of total)
Bogosity

preprocess291.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
85×fma-define
67×fma-neg
22×distribute-lft-neg-in
19×cancel-sign-sub-inv
19×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021128
16992
214192
325892
441292
553992
657492
758492
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.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 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x))))))
Outputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 x))))
(-.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x))

explain2.3s (20.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-3(-3.328099841899374e-158)(sqrt.f64 (*.f64 x x))
00-0-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-(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
Results
1.8s280×0valid
384.0ms232×2valid
Compiler

Compiled 87 to 26 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 949.0ms (92% of total)
ival-div: 35.0ms (3.4% of total)
ival-sqrt: 18.0ms (1.7% of total)
backward-pass: 16.0ms (1.6% of total)
ival-sub: 12.0ms (1.2% of total)
const: 2.0ms (0.2% of total)

eval1.0ms (0%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify68.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fabs.f64 x)
✓cost-diff0
(/.f64 (fabs.f64 x) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
Rules
95×fma-neg
68×fma-define
23×times-frac
21×sub-neg
13×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01053
11753
22553
33653
45253
56853
69053
711353
812853
914853
1018253
1124953
1237353
1342753
1445153
1548153
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
#s(literal 1 binary64)
(/.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
#s(literal 1 binary64)
(/.f64 (fabs.f64 x) x)
(fabs.f64 x)
x

localize44.0ms (0.4%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (fabs.f64 x) x)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
✓accuracy100.0%
(fabs.f64 x)
Results
31.0ms256×0valid
Compiler

Compiled 16 to 6 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36.8% of total)
ival-sub: 3.0ms (27.6% of total)
ival-fabs: 3.0ms (27.6% of total)
const: 1.0ms (9.2% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
3 → 12
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))>
#<alt (/.f64 (fabs.f64 x) x)>
#<alt (fabs.f64 x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x))>
#<alt (/.f64 (-.f64 x (fabs.f64 x)) x)>
#<alt (/.f64 (-.f64 x (fabs.f64 x)) x)>
#<alt (/.f64 (-.f64 x (fabs.f64 x)) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))>
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(- 1 (/ (fabs x) x))
1.0ms
x
@0
(- 1 (/ (fabs x) x))
1.0ms
x
@-inf
(/ (fabs x) x)
1.0ms
x
@inf
(- 1 (/ (fabs x) x))
1.0ms
x
@inf
(/ (fabs x) x)

rewrite399.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
420×log1p-expm1-u
420×expm1-log1p-u
415×unpow-prod-down
368×add-exp-log
354×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01048
110936
215256
Stop Event
1×node limit
Counts
3 → 34
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(/.f64 (fabs.f64 x) x)
(fabs.f64 x)
Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))

simplify95.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
892×fma-define
694×distribute-lft-in
575×distribute-rgt-in
342×unswap-sqr
316×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095637
1165364
2548358
32151358
Stop Event
1×node limit
Counts
46 → 47
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x))
(/.f64 (-.f64 x (fabs.f64 x)) x)
(/.f64 (-.f64 x (fabs.f64 x)) x)
(/.f64 (-.f64 x (fabs.f64 x)) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x))
(neg.f64 (/.f64 (fabs.f64 x) x))
#s(literal -1 binary64)
(/.f64 (-.f64 x (fabs.f64 x)) x)
#s(literal 0 binary64)
(/.f64 (-.f64 x (fabs.f64 x)) x)
#s(literal 0 binary64)
(/.f64 (-.f64 x (fabs.f64 x)) x)
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(/.f64 (-.f64 x (fabs.f64 x)) x)
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(/.f64 (-.f64 x (fabs.f64 x)) x)
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(/.f64 (-.f64 x (fabs.f64 x)) x)
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(/.f64 (-.f64 x (fabs.f64 x)) x)
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(/.f64 (-.f64 x (fabs.f64 x)) x)
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(/.f64 (-.f64 x (fabs.f64 x)) x)
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (-.f64 x (fabs.f64 x)) x)
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
x
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 x #s(literal 1 binary64))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 x)))
x
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))))
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (E.f64) (log.f64 x))
x
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x

eval21.0ms (0.2%)

Compiler

Compiled 456 to 190 computations (58.3% saved)

prune16.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348
Accuracy
100.0%
Counts
48 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
▶11.7%
#s(literal 1 binary64)
▶47.0%
#s(literal 0 binary64)
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
182
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)

localize18.0ms (0.2%)

Results
11.0ms256×0valid
Compiler

Compiled 4 to 4 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
const: 1.0ms (103.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done011
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
✓11.7%
#s(literal 1 binary64)
✓47.0%
#s(literal 0 binary64)
Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes9.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
Calls

2 calls:

4.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.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%)

Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
55.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
47.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch218.0ms (2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
208.0ms
-1.5901918827242965e-301
2.2445728899166826e-286
Results
180.0ms96×2valid
12.0ms80×0valid
Compiler

Compiled 83 to 77 computations (7.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 13.0ms (31.3% of total)
ival-mult: 13.0ms (31.3% of total)
ival-sqrt: 7.0ms (16.9% of total)
ival-sub: 5.0ms (12.1% of total)
backward-pass: 4.0ms (9.6% of total)
const: 1.0ms (2.4% of total)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×sub-neg
4×+-commutative
3×1-exp
3×*-commutative
3×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
12338
23138
33738
44238
54438
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness649.0ms (5.9%)

Rules
892×fma-define
694×distribute-lft-in
575×distribute-rgt-in
342×unswap-sqr
316×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095637
1165364
2548358
32151358
021128
16992
214192
325892
441292
553992
657492
758492
Stop Event
1×done
1×saturated
1×node limit
Compiler

Compiled 289 to 85 computations (70.6% saved)

preprocess352.0ms (3.2%)

Compiler

Compiled 68 to 44 computations (35.3% saved)

end0.0ms (0%)

Profiling

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