pow(sqrt(x)/sqrt(x), 4)

Time bar (total: 1.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.3%99.7%0%0%0%0
100%0.3%0%99.7%0%0%0%1
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample899.0ms (63.5%)

Memory
70.4MiB live, 417.6MiB allocated
Samples
482.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 309.0ms
ival-pow: 85.0ms (27.5% of total)
ival-sqrt: 72.0ms (23.3% of total)
ival-<=: 64.0ms (20.7% of total)
ival-div: 53.0ms (17.2% of total)
exact: 18.0ms (5.8% of total)
ival-and: 13.0ms (4.2% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain116.0ms (8.2%)

Memory
28.0MiB live, 91.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (sqrt.f64 x) (sqrt.f64 x))
00-0-(sqrt.f64 x)
00-0-(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
74.0ms512×0valid
Compiler

Compiled 59 to 24 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 50.0ms (82.1% of total)
ival-pow: 5.0ms (8.2% of total)
ival-sqrt: 4.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess12.0ms (0.8%)

Memory
16.0MiB live, 16.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072
1152
2182
3202
4222
5262
6312
057
081
191
2111
0111
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
Outputs
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
#s(literal 1 binary64)
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.2%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff1984
(/.f64 (sqrt.f64 x) (sqrt.f64 x))
cost-diff6464
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
086
196
2116
0116
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
(/.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(literal 4 binary64)
Outputs
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 x) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 4 binary64)

localize76.0ms (5.4%)

Memory
-16.0MiB live, 26.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
accuracy0.0
(/.f64 (sqrt.f64 x) (sqrt.f64 x))
accuracy0.0
(sqrt.f64 x)
Samples
70.0ms256×0valid
Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-pow: 58.0ms (92.1% of total)
ival-sqrt: 3.0ms (4.8% of total)
ival-div: 2.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
0.7MiB live, 0.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
(/.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
Outputs
1
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((pow (/ (sqrt x) (sqrt x)) 4) (/ (sqrt x) (sqrt x)) (sqrt x))
0.0ms
x
@inf
((pow (/ (sqrt x) (sqrt x)) 4) (/ (sqrt x) (sqrt x)) (sqrt x))
0.0ms
x
@0
((pow (/ (sqrt x) (sqrt x)) 4) (/ (sqrt x) (sqrt x)) (sqrt x))

simplify7.0ms (0.5%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095
1175
2375
3665
41655
52315
62695
72805
82825
02825
Stop Event
1×iter limit
1×saturated
Counts
3 → 3
Calls
Call 1
Inputs
1
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
1
#s(literal 1 binary64)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite93.0ms (6.6%)

Memory
25.8MiB live, 25.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
084
1294
2544
31374
45684
542224
086084
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 168
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
(/.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
Outputs
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 x #s(literal -3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal -1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (*.f64 x (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal -3/8 binary64)) (pow.f64 x #s(literal 7/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/16 binary64)))
(*.f64 (pow.f64 x #s(literal -1/8 binary64)) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (exp.f64 #s(literal -1/2 binary64))) (log.f64 x))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (neg.f64 (log.f64 x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 9/2 binary64))) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x x) (pow.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 x (pow.f64 x #s(literal -3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(/.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(/.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(/.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (*.f64 x (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5/2 binary64))) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal -1/8 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 9/2 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(/.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal -3/8 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) x)
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 x) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 x #s(literal -3/8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 5/8 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal -1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 x #s(literal 1/16 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5/8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -3/8 binary64)) (pow.f64 x #s(literal 7/8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/8 binary64)) (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7/16 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/8 binary64)) (pow.f64 x #s(literal 5/8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(-.f64 (sqrt.f64 x) #s(literal 0 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/8 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) #s(literal 0 binary64))

eval40.0ms (2.8%)

Memory
29.9MiB live, 29.9MiB allocated
Compiler

Compiled 4 258 to 983 computations (76.9% saved)

prune24.0ms (1.7%)

Memory
-67.1MiB live, 12.0MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New3351336
Fresh000
Picked101
Done000
Total3361337
Accuracy
100.0%
Counts
337 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0.2%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
074
1114
0114
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))
#s(literal 1 binary64)

localize16.0ms (1.2%)

Memory
5.8MiB live, 5.8MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))
Samples
12.0ms256×0valid
Compiler

Compiled 20 to 15 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (29.3% of total)
ival-sqrt: 2.0ms (29.3% of total)
ival-pow: 2.0ms (29.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))
Outputs
1
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
((pow (/ (sqrt x) (sqrt x)) 4))
0.0ms
x
@-inf
((pow (/ (sqrt x) (sqrt x)) 4))
0.0ms
x
@inf
((pow (/ (sqrt x) (sqrt x)) 4))

simplify2.0ms (0.1%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
131
031
Stop Event
1×saturated
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
1
Outputs
1
#s(literal 1 binary64)

rewrite83.0ms (5.9%)

Memory
17.9MiB live, 17.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
073
1293
2543
31373
45693
542143
085693
Stop Event
1×iter limit
1×node limit
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))
Outputs
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0.1%)

Memory
0.7MiB live, 0.7MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New101
Fresh000
Picked011
Done000
Total112
Accuracy
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))
Compiler

Compiled 25 to 18 computations (28% saved)

regimes5.0ms (0.3%)

Memory
4.9MiB live, 4.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
Outputs
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))
Calls

4 calls:

1.0ms
x
1.0ms
(sqrt.f64 x)
1.0ms
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
1.0ms
(/.f64 (sqrt.f64 x) (sqrt.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 4 binary64))
100.0%1(/.f64 (sqrt.f64 x) (sqrt.f64 x))
100.0%1(sqrt.f64 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify10.0ms (0.7%)

Memory
5.1MiB live, 5.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075
1103
2113
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))
Outputs
#s(approx (pow (/ (sqrt x) (sqrt x)) 4) #s(literal 1 binary64))

soundness10.0ms (0.7%)

Memory
0.4MiB live, 0.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095
1175
2375
3665
41655
52315
62695
72805
82825
02825
Stop Event
1×done
1×iter limit
1×saturated
Compiler

Compiled 10 to 9 computations (10% saved)

preprocess12.0ms (0.9%)

Memory
8.1MiB live, 8.1MiB allocated
Compiler

Compiled 32 to 24 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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