sqrt C (should all be same)

Time bar (total: 15.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample887.0ms (5.7%)

Memory
7.7MiB live, 711.3MiB allocated
Samples
670.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 481.0ms
ival-mult: 407.0ms (84.7% of total)
ival-sqrt: 59.0ms (12.3% of total)
ival-true: 6.0ms (1.2% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain56.0ms (0.4%)

Memory
20.7MiB live, 65.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-2(-3.746900881540727e-156)(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 x x)
00-0-(*.f64 #s(literal 2 binary64) (*.f64 x x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))oflow-rescue680
(*.f64 #s(literal 2 binary64) (*.f64 x x))overflow68
(*.f64 x x)overflow68
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))uflow-rescue570
(*.f64 #s(literal 2 binary64) (*.f64 x x))underflow57
(*.f64 x x)underflow57
Confusion
Predicted +Predicted -
+1252
-0129
Precision
1.0
Recall
0.984251968503937
Confusion?
Predicted +Predicted MaybePredicted -
+12502
-00129
Precision?
1.0
Recall?
0.984251968503937
Freqs
test
numberfreq
0131
1125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (62.1% of total)
ival-sqrt: 3.0ms (26.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess24.0ms (0.2%)

Memory
-21.3MiB live, 16.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
12113
26313
314113
420713
522413
622613
056
086
1116
2146
0146
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0816
11116
21416
01416
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
x

localize15.0ms (0.1%)

Memory
25.4MiB live, 25.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy29.2131874821052
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Samples
10.0ms256×0valid
Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (56.4% of total)
ival-sqrt: 2.0ms (37.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(* x (sqrt 2))
(* 2 (pow x 2))
(pow x 2)
(* -1 (* x (sqrt 2)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((sqrt (* 2 (* x x))) (* 2 (* x x)) (* x x))
1.0ms
x
@0
((sqrt (* 2 (* x x))) (* 2 (* x x)) (* x x))
1.0ms
x
@-inf
((sqrt (* 2 (* x x))) (* 2 (* x x)) (* x x))

simplify12.0ms (0.1%)

Memory
-32.5MiB live, 5.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
11517
23217
33817
44217
55417
66617
77717
89717
910217
010217
Stop Event
iter limit
saturated
Counts
4 → 4
Calls
Call 1
Inputs
(* x (sqrt 2))
(* 2 (pow x 2))
(pow x 2)
(* -1 (* x (sqrt 2)))
Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))

rewrite149.0ms (0.9%)

Memory
14.4MiB live, 164.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0514
0814
11713
24612
312312
458012
5391412
0817912
Stop Event
iter limit
node limit
iter limit
Counts
3 → 226
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 5/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 7/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 7/8 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 7/16 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 7/16 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64))))
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 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 2 binary64)) (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 8 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 16 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 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))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval71.0ms (0.5%)

Memory
18.9MiB live, 103.7MiB allocated
Compiler

Compiled 2 959 to 751 computations (74.6% saved)

prune9.0ms (0.1%)

Memory
-20.6MiB live, 17.7MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2246230
Fresh000
Picked011
Done000
Total2247231
Accuracy
100.0%
Counts
231 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
99.4%
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
99.3%
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
99.5%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
54.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
54.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 98 to 85 computations (13.3% saved)

simplify4.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3/4 binary64))
cost-diff0
(*.f64 #s(literal 4 binary64) x)
cost-diff0
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
cost-diff0
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
cost-diff0
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff0
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff6784
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02292
03892
14888
25188
05188
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
x
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
#s(literal 1/4 binary64)
(pow.f64 x #s(literal 3/4 binary64))
#s(literal 3/4 binary64)
Outputs
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
x
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
#s(literal 1/4 binary64)
(pow.f64 x #s(literal 3/4 binary64))
#s(literal 3/4 binary64)

localize73.0ms (0.5%)

Memory
16.9MiB live, 89.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 3/4 binary64))
accuracy0.0
(*.f64 #s(literal 4 binary64) x)
accuracy0.00390625
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
accuracy0.3046875
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
accuracy0.0
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy0.2109375
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy0.3125
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
accuracy0.0
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy0.4627878418954709
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
accuracy29.2131874821052
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.41796875
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy0.0
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy0.305351269536884
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Samples
47.0ms256×0valid
Compiler

Compiled 186 to 46 computations (75.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-pow: 15.0ms (44.1% of total)
ival-mult: 12.0ms (35.3% of total)
ival-sqrt: 6.0ms (17.7% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series347.0ms (2.2%)

Memory
-16.1MiB live, 262.0MiB allocated
Counts
16 → 21
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
(*.f64 #s(literal 4 binary64) x)
(pow.f64 x #s(literal 3/4 binary64))
Outputs
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(sqrt x)
(* 2 (pow x 2))
(pow x 2)
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(exp (* 1/4 (+ (log 4) (log x))))
(* 4 x)
(pow (* 1 (pow x 3)) 1/4)
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x))))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(* (pow x 2) (pow (sqrt -1) 4))
(* -1 (* (pow 4 1/4) x))
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
192.0ms
x
@inf
((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4))
86.0ms
x
@0
((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4))
69.0ms
x
@-inf
((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4))

simplify108.0ms (0.7%)

Memory
17.7MiB live, 141.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
066113
1155113
2384107
3697101
41589100
53260100
65647100
77122100
08200100
Stop Event
iter limit
node limit
Counts
21 → 21
Calls
Call 1
Inputs
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(sqrt x)
(* 2 (pow x 2))
(pow x 2)
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(exp (* 1/4 (+ (log 4) (log x))))
(* 4 x)
(pow (* 1 (pow x 3)) 1/4)
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x))))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(* (pow x 2) (pow (sqrt -1) 4))
(* -1 (* (pow 4 1/4) x))
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(exp (* 1/4 (+ (log 4) (log x))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x))))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (* (pow x 2) (pow (sqrt -1) 4)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (pow (sqrt -1) 4))
(*.f64 x x)
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal -3/4 binary64)))

rewrite171.0ms (1.1%)

Memory
1.8MiB live, 223.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02276
03868
18868
223558
392658
4642058
0825858
Stop Event
iter limit
node limit
iter limit
Counts
16 → 985
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
(*.f64 #s(literal 4 binary64) x)
(pow.f64 x #s(literal 3/4 binary64))
Outputs
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/32 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 3/16 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 3/16 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 3/16 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/32 binary64))) (pow.f64 x #s(literal 3/32 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
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(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)))
(*.f64 (*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 x #s(literal 3/32 binary64))) (pow.f64 x #s(literal 3/32 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/32 binary64)) (*.f64 (pow.f64 x #s(literal 3/32 binary64)) (pow.f64 x #s(literal 9/16 binary64))))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/16 binary64))
(pow.f64 (pow.f64 x #s(literal 3/16 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3/4 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3/8 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 3/16 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/16 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/4 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)))

eval114.0ms (0.7%)

Memory
-24.8MiB live, 201.8MiB allocated
Compiler

Compiled 8 893 to 1 903 computations (78.6% saved)

prune13.0ms (0.1%)

Memory
7.4MiB live, 46.3MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6633666
Fresh101
Picked145
Done011
Total6658673
Accuracy
100.0%
Counts
673 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
99.6%
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
99.3%
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
99.1%
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
99.5%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
54.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
54.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 61 to 53 computations (13.1% saved)

simplify4.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
cost-diff0
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
cost-diff6464
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
cost-diff0
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
cost-diff0
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
cost-diff0
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
cost-diff0
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
cost-diff0
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff0
(pow.f64 x #s(literal 1/4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02182
03482
14578
26578
37178
07178
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
#s(literal 2 binary64)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
#s(literal 64 binary64)
#s(literal 1/16 binary64)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
#s(literal 16 binary64)
#s(literal 1/32 binary64)
x
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x
Outputs
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 2 binary64)
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
#s(literal 64 binary64)
#s(literal 1/16 binary64)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
#s(literal 16 binary64)
#s(literal 1/32 binary64)
x
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x

localize85.0ms (0.5%)

Memory
-14.6MiB live, 61.2MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
accuracy0.41796875
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
accuracy1.0
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
accuracy0.0
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
accuracy0.0
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
accuracy0.234375
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
accuracy0.2734375
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
accuracy0.0
(sqrt.f64 x)
accuracy0.12890625
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy0.305351269536884
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
accuracy0.36947250976844204
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
Samples
44.0ms256×0valid
Compiler

Compiled 166 to 44 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-pow: 15.0ms (50.1% of total)
ival-mult: 8.0ms (26.7% of total)
ival-sqrt: 3.0ms (10% of total)
ival-pow2: 2.0ms (6.7% of total)
exact: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series438.0ms (2.8%)

Memory
22.8MiB live, 217.8MiB allocated
Counts
12 → 13
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(sqrt.f64 x)
Outputs
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) x)
(* (pow 256 1/16) x)
(sqrt x)
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))
(* -1 (* (pow -1 1/4) (* (sqrt (* x (pow (sqrt -1) 3))) (sqrt 2))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
197.0ms
x
@-inf
((* (* (pow x 1/4) (sqrt (* (sqrt x) 2))) (sqrt x)) (* (pow x 1/4) (sqrt (* (sqrt x) 2))) (pow x 1/4) (sqrt (* (sqrt x) 2)) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (sqrt x))
189.0ms
x
@0
((* (* (pow x 1/4) (sqrt (* (sqrt x) 2))) (sqrt x)) (* (pow x 1/4) (sqrt (* (sqrt x) 2))) (pow x 1/4) (sqrt (* (sqrt x) 2)) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (sqrt x))
51.0ms
x
@inf
((* (* (pow x 1/4) (sqrt (* (sqrt x) 2))) (sqrt x)) (* (pow x 1/4) (sqrt (* (sqrt x) 2))) (pow x 1/4) (sqrt (* (sqrt x) 2)) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (sqrt x))

simplify6.6s (42%)

Memory
8.7MiB live, 102.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05285
110984
230081
364981
4104581
5133681
6186681
7310081
8471781
9569881
10632581
11694881
12768881
0800481
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(* (pow 16 1/32) x)
(* (pow 256 1/16) x)
(sqrt x)
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))
(* -1 (* (pow -1 1/4) (* (sqrt (* x (pow (sqrt -1) 3))) (sqrt 2))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow 16 1/32) (* (pow 64 1/16) x))
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(* (pow 16 1/32) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
(* (pow 256 1/16) x)
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 29/4 binary64)) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* -1 (* (pow -1 1/4) (* (sqrt (* x (pow (sqrt -1) 3))) (sqrt 2))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 29/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite1.6s (10.3%)

Memory
-4.4MiB live, 100.6MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02166
03458
18550
223948
386531
4587131
0823631
Stop Event
iter limit
node limit
iter limit
Counts
12 → 333
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(sqrt.f64 x)
Outputs
(*.f64 (pow.f64 x #s(literal 11/16 binary64)) (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 11/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 5/8 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 5/8 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5/8 binary64))))
(*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 5/8 binary64))))
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5/16 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/32 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
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(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 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 1/16 binary64)) #s(literal 8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/16 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 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 1/8 binary64) (log.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 3/4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))

eval95.0ms (0.6%)

Memory
-2.2MiB live, 71.9MiB allocated
Compiler

Compiled 5 328 to 1 125 computations (78.9% saved)

prune7.0ms (0%)

Memory
21.4MiB live, 21.4MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New3583361
Fresh000
Picked123
Done055
Total35910369
Accuracy
100.0%
Counts
369 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.2%
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x) #s(literal 1/4 binary64))
99.1%
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
99.6%
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
99.3%
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
99.0%
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
99.5%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
20.3%
(*.f64 x #s(literal 1 binary64))
54.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
54.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 75 to 63 computations (16% saved)

simplify36.0ms (0.2%)

Memory
-17.8MiB live, 24.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 4 binary64) x)
cost-diff0
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x) #s(literal 1/4 binary64))
cost-diff320
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(sqrt.f64 (sqrt.f64 x))
cost-diff0
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
cost-diff320
(*.f64 x #s(literal 1 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01778
02976
14670
28966
310266
010266
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x)
(*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
(*.f64 x x)
#s(literal 1/4 binary64)
Outputs
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
(*.f64 x x)
#s(literal 1/4 binary64)

localize51.0ms (0.3%)

Memory
13.0MiB live, 124.7MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 4 binary64) x)
accuracy0.046875
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x)
accuracy0.06640625
(*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x))
accuracy44.68859728071824
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x) #s(literal 1/4 binary64))
accuracy0.12890625
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy0.1328125
(sqrt.f64 (sqrt.f64 x))
accuracy0.305351269536884
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
accuracy0.36947250976844204
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy0.0
(*.f64 x #s(literal 1 binary64))
Samples
39.0ms256×0valid
Compiler

Compiled 158 to 36 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 18.0ms (61.2% of total)
ival-sqrt: 5.0ms (17% of total)
ival-pow: 5.0ms (17% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory
-11.1MiB live, 113.1MiB allocated
Counts
11 → 17
Calls
Call 1
Inputs
(*.f64 x #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x)
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x) #s(literal 1/4 binary64))
(*.f64 #s(literal 4 binary64) x)
(*.f64 x x)
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x))
Outputs
x
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(pow (* 1 x) 1/4)
(sqrt x)
(* 4 (pow x 4))
(* (pow 4 1/4) x)
(* 4 x)
(pow x 2)
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 4 (pow x 3))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow 4 1/4) x))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
Calls

3 calls:

TimeVariablePointExpression
20.0ms
x
@0
((* x 1) (* (* (sqrt (sqrt x)) (sqrt (* (sqrt x) 2))) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) 2))) (sqrt (sqrt x)) (sqrt x) (* (* (* 4 x) (* x x)) x) (pow (* (* (* 4 x) (* x x)) x) 1/4) (* 4 x) (* x x) (sqrt (* (sqrt x) 2)) (* (* 4 x) (* x x)))
18.0ms
x
@-inf
((* x 1) (* (* (sqrt (sqrt x)) (sqrt (* (sqrt x) 2))) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) 2))) (sqrt (sqrt x)) (sqrt x) (* (* (* 4 x) (* x x)) x) (pow (* (* (* 4 x) (* x x)) x) 1/4) (* 4 x) (* x x) (sqrt (* (sqrt x) 2)) (* (* 4 x) (* x x)))
17.0ms
x
@inf
((* x 1) (* (* (sqrt (sqrt x)) (sqrt (* (sqrt x) 2))) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) 2))) (sqrt (sqrt x)) (sqrt x) (* (* (* 4 x) (* x x)) x) (pow (* (* (* 4 x) (* x x)) x) 1/4) (* 4 x) (* x x) (sqrt (* (sqrt x) 2)) (* (* 4 x) (* x x)))

simplify278.0ms (1.8%)

Memory
4.0MiB live, 85.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03878
18078
223178
338878
4110678
5208778
6311478
7331778
8341678
9348578
10350378
11406978
12429778
13429778
14429778
15429778
16429778
17497478
18550078
19562078
20562078
21578478
22580478
23587478
24590478
25590478
26590478
27727978
0727978
Stop Event
iter limit
saturated
Counts
17 → 16
Calls
Call 1
Inputs
x
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(pow (* 1 x) 1/4)
(sqrt x)
(* 4 (pow x 4))
(* (pow 4 1/4) x)
(* 4 x)
(pow x 2)
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 4 (pow x 3))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow 4 1/4) x))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
Outputs
x
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(sqrt x)
(sqrt.f64 x)
(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 4 (pow x 3))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))

rewrite162.0ms (1%)

Memory
3.2MiB live, 200.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01767
02963
16550
220639
381739
4403539
01095439
Stop Event
iter limit
node limit
iter limit
Counts
11 → 443
Calls
Call 1
Inputs
(*.f64 x #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x)
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x) #s(literal 1/4 binary64))
(*.f64 #s(literal 4 binary64) x)
(*.f64 x x)
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x))
Outputs
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (*.f64 (*.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (log.f64 x))
x
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal 4 binary64)))) x)
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
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(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 16 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 1/8 binary64) (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (+.f64 (log.f64 #s(literal 4 binary64)) #s(literal 0 binary64))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (+.f64 (log.f64 #s(literal 4 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) x))
(*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))))

eval55.0ms (0.3%)

Memory
-10.9MiB live, 108.4MiB allocated
Compiler

Compiled 6 063 to 1 287 computations (78.8% saved)

prune11.0ms (0.1%)

Memory
-6.0MiB live, 33.4MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New4212423
Fresh000
Picked123
Done077
Total42211433
Accuracy
100.0%
Counts
433 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.2%
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x) #s(literal 1/4 binary64))
99.1%
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
99.6%
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
99.3%
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
99.2%
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (sqrt.f64 x))
99.0%
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
99.5%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
54.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
54.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
20.3%
x
Compiler

Compiled 204 to 127 computations (37.7% saved)

regimes31.0ms (0.2%)

Memory
-5.5MiB live, 33.5MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
Outputs
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
Calls

4 calls:

5.0ms
x
4.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
4.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.6%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.6%1(*.f64 x x)
Compiler

Compiled 15 to 12 computations (20% saved)

regimes15.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x x)) x) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
Outputs
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Calls

4 calls:

4.0ms
x
4.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
4.0ms
(*.f64 x x)
4.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.5%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.5%1(*.f64 x x)
Compiler

Compiled 15 to 12 computations (20% saved)

regimes8.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Calls

4 calls:

2.0ms
x
2.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
2.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.3%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.3%1(*.f64 x x)
Compiler

Compiled 15 to 12 computations (20% saved)

regimes5.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
Outputs
x
Calls

4 calls:

1.0ms
x
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
1.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
20.3%1x
20.3%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
20.3%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
20.3%1(*.f64 x x)
Compiler

Compiled 15 to 12 computations (20% saved)

simplify22.0ms (0.1%)

Memory
-24.1MiB live, 13.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01621
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x
Outputs
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x

soundness4.0s (25.7%)

Memory
30.6MiB live, 426.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01767
02963
16550
220639
381739
4403539
01095439
02166
03458
18550
223948
386531
4587131
0823631
0514
0814
11713
24612
312312
458012
5391412
0817912
02276
03868
18868
223558
392658
4642058
0825858
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 88 to 65 computations (26.1% saved)

preprocess31.0ms (0.2%)

Memory
7.5MiB live, 79.9MiB allocated
Compiler

Compiled 72 to 60 computations (16.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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