pow(x,9/8)

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
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.2%74.8%0%0%0%0
100%25.2%0%74.8%0%0%0%1
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample928.0ms (68%)

Memory
31.8MiB live, 428.0MiB allocated
Samples
645.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 408.0ms
ival-pow: 232.0ms (56.8% of total)
ival-div: 85.0ms (20.8% of total)
ival-<=: 55.0ms (13.5% of total)
exact: 19.0ms (4.7% of total)
ival-and: 13.0ms (3.2% of total)
ival-assert: 5.0ms (1.2% of total)
Bogosity

explain69.0ms (5.1%)

Memory
25.0MiB live, 25.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 9 binary64) #s(literal 8 binary64))
00-0-#s(literal 8 binary64)
00-0-#s(literal 9 binary64)
00-0-(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 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
30.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-pow: 12.0ms (68.1% of total)
ival-div: 4.0ms (22.7% of total)
ival-true: 1.0ms (5.7% of total)
exact: 1.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess13.0ms (0.9%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2189
3219
4259
5329
6399
053
083
083
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
Outputs
(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
(pow.f64 x #s(literal 9/8 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify2.0ms (0.2%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
cost-diff2
(/.f64 #s(literal 9 binary64) #s(literal 8 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
087
087
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
x
(/.f64 #s(literal 9 binary64) #s(literal 8 binary64))
#s(literal 9 binary64)
#s(literal 8 binary64)
Outputs
(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
(pow.f64 x #s(literal 9/8 binary64))
x
(/.f64 #s(literal 9 binary64) #s(literal 8 binary64))
#s(literal 9/8 binary64)
#s(literal 9 binary64)
#s(literal 8 binary64)

localize20.0ms (1.5%)

Memory
5.6MiB live, 5.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
accuracy0.0
(/.f64 #s(literal 9 binary64) #s(literal 8 binary64))
Samples
15.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow: 6.0ms (68% of total)
ival-div: 2.0ms (22.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series66.0ms (4.9%)

Memory
-54.2MiB live, 22.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 9 binary64) #s(literal 8 binary64))
(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
Outputs
(pow (* 1 (pow x 9)) 1/8)
(exp (* 1/8 (+ (log -1) (* -9 (log (/ -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
41.0ms
x
@0
((/ 9 8) (pow x (/ 9 8)))
18.0ms
x
@-inf
((/ 9 8) (pow x (/ 9 8)))
8.0ms
x
@inf
((/ 9 8) (pow x (/ 9 8)))

simplify6.0ms (0.4%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01617
13117
25214
37314
48113
58213
68313
78413
88613
98813
109213
119713
09713
Stop Event
iter limit
saturated
Counts
2 → 2
Calls
Call 1
Inputs
(pow (* 1 (pow x 9)) 1/8)
(exp (* 1/8 (+ (log -1) (* -9 (log (/ -1 x))))))
Outputs
(pow (* 1 (pow x 9)) 1/8)
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -1) (* -9 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1/8 binary64))

rewrite66.0ms (4.9%)

Memory
8.4MiB live, 8.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1164
2304
3684
41704
08054
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
2 → 35
Calls
Call 1
Inputs
(/.f64 #s(literal 9 binary64) #s(literal 8 binary64))
(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
Outputs
#s(literal 9/8 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal 63/64 binary64)) (pow.f64 x #s(literal 9/128 binary64))) (pow.f64 x #s(literal 9/128 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 63/64 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 9/64 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 27/32 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 9/32 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/64 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 63/64 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 45/64 binary64)) (pow.f64 x #s(literal 27/64 binary64)))
(*.f64 (pow.f64 x #s(literal 63/64 binary64)) (pow.f64 x #s(literal 9/64 binary64)))
(*.f64 (pow.f64 x #s(literal 27/64 binary64)) (pow.f64 x #s(literal 45/64 binary64)))
(*.f64 (pow.f64 x #s(literal 9/128 binary64)) (*.f64 (pow.f64 x #s(literal 9/128 binary64)) (pow.f64 x #s(literal 63/64 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 27/32 binary64)) (pow.f64 x #s(literal 9/32 binary64)))
(*.f64 (pow.f64 x #s(literal 9/64 binary64)) (pow.f64 x #s(literal 63/64 binary64)))
(*.f64 (pow.f64 x #s(literal 9/32 binary64)) (pow.f64 (pow.f64 x #s(literal 27/32 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 9/32 binary64)) (pow.f64 x #s(literal 27/32 binary64)))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 x #s(literal 9/16 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 9/16 binary64) (log.f64 x)))
(pow.f64 (*.f64 (exp.f64 #s(literal 9/8 binary64)) (exp.f64 #s(literal 9/8 binary64))) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 9/16 binary64)) (exp.f64 #s(literal 9/16 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 9/16 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/32 binary64))
(pow.f64 (pow.f64 x #s(literal 9/64 binary64)) #s(literal 8 binary64))
(pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal 9/8 binary64)) (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 9/8 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 9/32 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 9/16 binary64))
(pow.f64 (pow.f64 x #s(literal 9/16 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 9/8 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 9/32 binary64)))
(exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))

eval4.0ms (0.3%)

Memory
3.0MiB live, 3.0MiB allocated
Compiler

Compiled 296 to 99 computations (66.6% saved)

prune1.0ms (0.1%)

Memory
1.6MiB live, 1.6MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New36137
Fresh000
Picked101
Done000
Total37138
Accuracy
100.0%
Counts
38 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 x #s(literal 9/8 binary64))
Compiler

Compiled 3 to 3 computations (0% saved)

simplify2.0ms (0.2%)

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

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 9/8 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
045
045
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(pow.f64 x #s(literal 9/8 binary64))
x
#s(literal 9/8 binary64)
Outputs
(pow.f64 x #s(literal 9/8 binary64))
x
#s(literal 9/8 binary64)

localize16.0ms (1.2%)

Memory
4.3MiB live, 4.3MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 9/8 binary64))
Samples
12.0ms256×0valid
Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-pow: 6.0ms (86.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (1.5%)

Memory
19.0MiB live, 19.0MiB allocated
Counts
1 → 2
Calls
Call 1
Inputs
(pow.f64 x #s(literal 9/8 binary64))
Outputs
(pow (* 1 (pow x 9)) 1/8)
(exp (* 1/8 (+ (log -1) (* -9 (log (/ -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
((pow x 9/8))
7.0ms
x
@inf
((pow x 9/8))
7.0ms
x
@-inf
((pow x 9/8))

simplify5.0ms (0.4%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01617
13117
25214
37314
48113
58213
68313
78413
88613
98813
109213
119713
09713
Stop Event
iter limit
saturated
Counts
2 → 2
Calls
Call 1
Inputs
(pow (* 1 (pow x 9)) 1/8)
(exp (* 1/8 (+ (log -1) (* -9 (log (/ -1 x))))))
Outputs
(pow (* 1 (pow x 9)) 1/8)
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -1) (* -9 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1/8 binary64))

rewrite56.0ms (4.1%)

Memory
3.4MiB live, 3.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
043
1123
2263
3643
41663
08003
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
1 → 34
Calls
Call 1
Inputs
(pow.f64 x #s(literal 9/8 binary64))
Outputs
(*.f64 (*.f64 (pow.f64 x #s(literal 63/64 binary64)) (pow.f64 x #s(literal 9/128 binary64))) (pow.f64 x #s(literal 9/128 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 63/64 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 9/64 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 27/32 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 9/32 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/64 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 63/64 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 63/64 binary64)) (pow.f64 x #s(literal 9/64 binary64)))
(*.f64 (pow.f64 x #s(literal 45/64 binary64)) (pow.f64 x #s(literal 27/64 binary64)))
(*.f64 (pow.f64 x #s(literal 27/64 binary64)) (pow.f64 x #s(literal 45/64 binary64)))
(*.f64 (pow.f64 x #s(literal 9/128 binary64)) (*.f64 (pow.f64 x #s(literal 9/128 binary64)) (pow.f64 x #s(literal 63/64 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 27/32 binary64)) (pow.f64 x #s(literal 9/32 binary64)))
(*.f64 (pow.f64 x #s(literal 9/64 binary64)) (pow.f64 x #s(literal 63/64 binary64)))
(*.f64 (pow.f64 x #s(literal 9/32 binary64)) (pow.f64 (pow.f64 x #s(literal 27/32 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 9/32 binary64)) (pow.f64 x #s(literal 27/32 binary64)))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 x #s(literal 9/16 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 9/16 binary64) (log.f64 x)))
(pow.f64 (*.f64 (exp.f64 #s(literal 9/8 binary64)) (exp.f64 #s(literal 9/8 binary64))) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 9/16 binary64)) (exp.f64 #s(literal 9/16 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 9/16 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/32 binary64))
(pow.f64 (pow.f64 x #s(literal 9/64 binary64)) #s(literal 8 binary64))
(pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal 9/8 binary64)) (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal 9/8 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 9/8 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 9/32 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 9/16 binary64))
(pow.f64 (pow.f64 x #s(literal 9/16 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 9/8 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 9/32 binary64)))
(exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))

eval4.0ms (0.3%)

Memory
2.9MiB live, 2.9MiB allocated
Compiler

Compiled 289 to 97 computations (66.4% saved)

prune1.0ms (0.1%)

Memory
1.8MiB live, 1.8MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New36036
Fresh000
Picked011
Done000
Total36137
Accuracy
100.0%
Counts
37 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 x #s(literal 9/8 binary64))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes3.0ms (0.2%)

Memory
3.1MiB live, 3.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(pow.f64 x #s(literal 9/8 binary64))
(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
Outputs
(pow.f64 x #s(literal 9/8 binary64))
Calls

2 calls:

1.0ms
(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(pow.f64 x (/.f64 #s(literal 9 binary64) #s(literal 8 binary64)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify8.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033
Stop Event
saturated
Calls
Call 1
Inputs
(pow.f64 x #s(literal 9/8 binary64))
Outputs
(pow.f64 x #s(literal 9/8 binary64))

soundness56.0ms (4.1%)

Memory
0.6MiB live, 0.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1164
2304
3684
41704
08054
Stop Event
done
iter limit
iter limit
iter limit
unsound
iter limit
Compiler

Compiled 11 to 10 computations (9.1% saved)

preprocess14.0ms (1%)

Memory
8.0MiB live, 8.0MiB allocated
Compiler

Compiled 16 to 16 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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