Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample685.0ms (19.3%)

Memory
52.5MiB live, 1 069.7MiB allocated; 253ms collecting garbage
Samples
478.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 213.0ms
ival-mult: 198.0ms (92.9% of total)
ival-true: 5.0ms (2.3% of total)
exact: 4.0ms (1.9% of total)
ival-assert: 4.0ms (1.9% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

explain54.0ms (1.5%)

Memory
-4.8MiB live, 91.4MiB allocated; 25ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) x)
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
30.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 15.0ms (96% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess21.0ms (0.6%)

Memory
-0.6MiB live, 41.2MiB allocated; 10ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
11710
24510
36510
48110
511910
614110
045
065
195
2125
3165
4375
5735
61055
71235
81235
01235
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Outputs
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
1910
21210
31610
43710
57310
610510
712310
812310
012310
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
Outputs
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)

localize15.0ms (0.4%)

Memory
-6.2MiB live, 39.1MiB allocated; 5ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x #s(literal 3 binary64))
accuracy0.171875
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Samples
8.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 3.0ms (88.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
Outputs
(* 3 (pow x 2))
(* 3 x)
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* (* x 3) x) (* x 3))
1.0ms
x
@inf
((* (* x 3) x) (* x 3))
1.0ms
x
@-inf
((* (* x 3) x) (* x 3))

simplify5.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1118
2198
3408
4808
51138
61318
71318
01318
Stop Event
1×iter limit
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* 3 x)
Outputs
(* 3 (pow x 2))
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite247.0ms (6.9%)

Memory
-30.4MiB live, 320.7MiB allocated; 184ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
198
2128
3188
4498
51388
63778
716988
090358
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 83
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 #s(literal -3 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) x) x)
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal -3 binary64) x))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 x x (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 x x (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 x x (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 x x (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) #s(literal -3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 (*.f64 #s(literal -3 binary64) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 6 binary64) (*.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) #s(literal -3 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64)))
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) #s(literal 3 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) (*.f64 #s(literal -3 binary64) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 #s(literal -3 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 #s(literal -3 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 #s(literal -3 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (cosh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) x) (*.f64 (sinh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) x)))
(fma.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64)))
(fma.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64)))
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) #s(literal 3 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) x) (cosh.f64 (log.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (log.f64 x))))
(fma.f64 #s(literal 3 binary64) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) (*.f64 #s(literal 3 binary64) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 #s(literal 3 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) #s(literal -3 binary64)) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64)))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64)))
(+.f64 (*.f64 (cosh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) x)) (*.f64 (sinh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) x)))
(+.f64 (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) #s(literal 3 binary64)) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))) (*.f64 #s(literal -3 binary64) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (*.f64 #s(literal -3 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) (*.f64 #s(literal -3 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (cosh.f64 (log.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (log.f64 x))))
(+.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))) (*.f64 #s(literal 3 binary64) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) (neg.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -3 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -3 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 #s(literal -3 binary64) x)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal -3 binary64))
(*.f64 x #s(literal 3 binary64))
(neg.f64 (*.f64 #s(literal -3 binary64) x))
(fma.f64 #s(literal -3 binary64) (cosh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) (sinh.f64 (log.f64 x))))
(fma.f64 (cosh.f64 (log.f64 x)) #s(literal -3 binary64) (*.f64 (sinh.f64 (log.f64 x)) #s(literal -3 binary64)))
(fma.f64 (cosh.f64 (log.f64 x)) #s(literal 3 binary64) (*.f64 (sinh.f64 (log.f64 x)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (cosh.f64 (log.f64 x)) (*.f64 #s(literal 3 binary64) (sinh.f64 (log.f64 x))))
(+.f64 (*.f64 (cosh.f64 (log.f64 x)) #s(literal -3 binary64)) (*.f64 (sinh.f64 (log.f64 x)) #s(literal -3 binary64)))
(+.f64 (*.f64 (cosh.f64 (log.f64 x)) #s(literal 3 binary64)) (*.f64 (sinh.f64 (log.f64 x)) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (cosh.f64 (log.f64 x))) (*.f64 #s(literal -3 binary64) (sinh.f64 (log.f64 x))))
(+.f64 (*.f64 #s(literal 3 binary64) (cosh.f64 (log.f64 x))) (*.f64 #s(literal 3 binary64) (sinh.f64 (log.f64 x))))

eval40.0ms (1.1%)

Memory
-15.2MiB live, 31.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 228 to 210 computations (82.9% saved)

prune3.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh000
Picked011
Done000
Total82486
Accuracy
100.0%
Counts
86 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
▶99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
▶99.8%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify9.0ms (0.2%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal -2 binary64))
cost-diff0
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
cost-diff4
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 3 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01145
01941
13241
27037
311737
423637
535837
636637
036637
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal 3 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
Outputs
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(*.f64 x x)
x
#s(literal 3 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal 3 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)

localize72.0ms (2%)

Memory
-3.2MiB live, 140.4MiB allocated; 18ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal -2 binary64))
accuracy0.08203125
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy0.0546875
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
accuracy0.171875
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy0.1953125
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy0.0
(*.f64 x x)
accuracy0.0859375
(*.f64 (*.f64 x x) #s(literal 3 binary64))
Samples
46.0ms80×5exit
15.0ms176×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 13.0ms (39.7% of total)
adjust: 10.0ms (30.5% of total)
ival-sqrt: 5.0ms (15.3% of total)
ival-pow: 3.0ms (9.2% of total)
ival-div: 2.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Counts
8 → 10
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
Outputs
(* 3 (pow x 2))
(pow x 2)
(* 3 x)
(* 3 (sqrt x))
(sqrt x)
(/ 1 (pow x 2))
(* -3 (* x (pow (sqrt -1) 2)))
(* -3 (* (pow x 2) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (/ 3 (pow x -2)) (pow x -2))
1.0ms
x
@0
((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (/ 3 (pow x -2)) (pow x -2))
1.0ms
x
@inf
((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (/ 3 (pow x -2)) (pow x -2))

simplify36.0ms (1%)

Memory
-24.3MiB live, 21.3MiB allocated; 10ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02136
14536
210436
325936
472436
5116536
6132836
7133436
8133436
9133436
10156336
0156336
Stop Event
1×iter limit
1×saturated
Counts
10 → 10
Calls
Call 1
Inputs
(* 3 (pow x 2))
(pow x 2)
(* 3 x)
(* 3 (sqrt x))
(sqrt x)
(/ 1 (pow x 2))
(* -3 (* x (pow (sqrt -1) 2)))
(* -3 (* (pow x 2) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(* -3 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) x)
(* -3 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite147.0ms (4.1%)

Memory
22.1MiB live, 206.5MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01138
01934
14734
213330
342530
4233030
0821530
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 474
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
Outputs
(*.f64 (/.f64 #s(literal -3 binary64) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (log.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (log.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x)
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal -3 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 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 7/4 binary64)) #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 x (*.f64 #s(literal -3 binary64) x))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) x) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) x))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))))
(fma.f64 (cosh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) x) (*.f64 (sinh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) x)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (cosh.f64 (log.f64 (sqrt.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) x) (cosh.f64 (log.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (log.f64 x))))
(fma.f64 #s(literal 3 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (*.f64 #s(literal 3 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))))
(+.f64 (*.f64 (cosh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) x)) (*.f64 (sinh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) x)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (cosh.f64 (log.f64 (sqrt.f64 x)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (cosh.f64 (log.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (log.f64 x))))
(+.f64 (*.f64 #s(literal 3 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (*.f64 #s(literal 3 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (fabs.f64 (pow.f64 x #s(literal 15/8 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 15/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/8 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fabs.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 7/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 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))
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(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 (*.f64 (cosh.f64 (log.f64 x)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (cosh.f64 (log.f64 x))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sinh.f64 (neg.f64 (log.f64 x)))))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))))
(+.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(+.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (neg.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))

eval271.0ms (7.6%)

Memory
-4.2MiB live, 108.8MiB allocated; 24ms collecting garbage
Compiler

Compiled 6 364 to 1 283 computations (79.8% saved)

prune127.0ms (3.6%)

Memory
-6.2MiB live, 36.9MiB allocated; 8ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New4232425
Fresh000
Picked033
Done011
Total4236429
Accuracy
100.0%
Counts
429 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
▶99.3%
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
▶99.6%
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
✓99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
✓99.8%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Compiler

Compiled 40 to 33 computations (17.5% saved)

simplify13.0ms (0.4%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff2
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff0
(pow.f64 x #s(literal 1/4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))
cost-diff0
(pow.f64 x #s(literal 7/4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01242
01940
13340
26640
312140
418340
527440
645140
760140
863940
063940
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 7/4 binary64))
x
#s(literal 7/4 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
Outputs
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 7/4 binary64))
x
#s(literal 7/4 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)
(*.f64 x x)
x

localize44.0ms (1.3%)

Memory
1.9MiB live, 93.7MiB allocated; 6ms collecting garbage
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.27653322331002106
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy0.3180425180484117
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy0.0
(pow.f64 x #s(literal 7/4 binary64))
accuracy0.0
(pow.f64 x #s(literal 1/4 binary64))
accuracy0.178066259768442
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
accuracy0.30078125
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))
Samples
28.0ms256×0valid
Compiler

Compiled 44 to 14 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow: 10.0ms (49.9% of total)
ival-div: 4.0ms (20% of total)
ival-mult: 4.0ms (20% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series198.0ms (5.6%)

Memory
-9.4MiB live, 236.7MiB allocated; 32ms collecting garbage
Counts
7 → 10
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 7/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(* 3 (pow x 2))
(pow (* 1 (pow x 7)) 1/4)
(* 3 (pow (* 1 x) 1/4))
(pow (* 1 x) 1/4)
(/ 1 (pow x 2))
(pow x 2)
(* 3 (* (pow x 2) (sqrt -1)))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 x))))))
(* 3 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
120.0ms
x
@0
((* (pow x 7/4) (* (pow x 1/4) 3)) (pow x 7/4) (* (pow x 1/4) 3) (pow x 1/4) (/ 3 (/ 1 (* x x))) (/ 1 (* x x)) (* x x))
51.0ms
x
@-inf
((* (pow x 7/4) (* (pow x 1/4) 3)) (pow x 7/4) (* (pow x 1/4) 3) (pow x 1/4) (/ 3 (/ 1 (* x x))) (/ 1 (* x x)) (* x x))
26.0ms
x
@inf
((* (pow x 7/4) (* (pow x 1/4) 3)) (pow x 7/4) (* (pow x 1/4) 3) (pow x 1/4) (/ 3 (/ 1 (* x x))) (/ 1 (* x x)) (* x x))

simplify183.0ms (5.2%)

Memory
13.8MiB live, 239.2MiB allocated; 40ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03254
17854
218951
353851
4142049
5660049
0854549
Stop Event
1×iter limit
1×node limit
Counts
10 → 10
Calls
Call 1
Inputs
(* 3 (pow x 2))
(pow (* 1 (pow x 7)) 1/4)
(* 3 (pow (* 1 x) 1/4))
(pow (* 1 x) 1/4)
(/ 1 (pow x 2))
(pow x 2)
(* 3 (* (pow x 2) (sqrt -1)))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 x))))))
(* 3 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
Outputs
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(pow (* 1 (pow x 7)) 1/4)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64))
(* 3 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(pow x 2)
(*.f64 x x)
(* 3 (* (pow x 2) (sqrt -1)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) #s(literal 3 binary64))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 7 binary64))) #s(literal 1/4 binary64))
(* 3 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))

rewrite208.0ms (5.9%)

Memory
-38.4MiB live, 308.0MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01235
01937
15827
219227
390927
0822227
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 1 207
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 7/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7/8 binary64)))) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 x #s(literal -7/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7/8 binary64)))) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -7/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -15/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -15/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 25/16 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 7/32 binary64))) (pow.f64 x #s(literal 7/32 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 1/16 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/16 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 1/16 binary64)))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (neg.f64 (pow.f64 x #s(literal 1/16 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal 3 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 7/8 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 9/16 binary64)))) (neg.f64 (pow.f64 x #s(literal 9/16 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 29/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 15/16 binary64)))) (neg.f64 (pow.f64 x #s(literal 15/16 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 7/16 binary64)))) (neg.f64 (pow.f64 x #s(literal 7/16 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 7/16 binary64)))) (pow.f64 x #s(literal 7/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 15/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 15/64 binary64))) (pow.f64 x #s(literal 1/64 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 7/64 binary64))) (pow.f64 x #s(literal 9/64 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/32 binary64))) (pow.f64 x #s(literal 7/32 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 7/32 binary64))) (pow.f64 x #s(literal 1/32 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 x #s(literal 7/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 31/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 9/8 binary64))) (neg.f64 (pow.f64 x #s(literal 7/8 binary64))))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 9/8 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 15/8 binary64))) (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 15/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 x #s(literal 7/8 binary64)))) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 15/8 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 7/4 binary64))))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 7/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 105/64 binary64))) (pow.f64 x #s(literal 7/64 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 49/64 binary64))) (pow.f64 x #s(literal 63/64 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 49/32 binary64))) (pow.f64 x #s(literal 7/32 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 31/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/32 binary64))) (pow.f64 x #s(literal 49/32 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal 15/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 7/8 binary64)))) x)
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 15/16 binary64))) (pow.f64 x #s(literal 15/16 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 25/16 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 15/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 11/16 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 25/16 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal 7/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
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(fma.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/8 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 7/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 7/8 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64)))) (*.f64 (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 7/4 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 7/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 7/4 binary64)) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64))))
(fma.f64 x (cosh.f64 (log.f64 x)) (*.f64 x (sinh.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64)))))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 7/4 binary64))) (*.f64 (neg.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 7/4 binary64))))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 7/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 7/4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 7/8 binary64))) (neg.f64 (pow.f64 x #s(literal 7/8 binary64)))) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/8 binary64))) (neg.f64 (pow.f64 x #s(literal 7/8 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 x #s(literal 9/8 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 x #s(literal 9/8 binary64))))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 x #s(literal 15/8 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 x #s(literal 15/8 binary64))))
(+.f64 (*.f64 (cosh.f64 (log.f64 x)) x) (*.f64 (sinh.f64 (log.f64 x)) x))
(+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 7/8 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 7/8 binary64)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 7/8 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/8 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) (cosh.f64 (*.f64 #s(literal 7/8 binary64) (log.f64 x)))) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) (sinh.f64 (*.f64 #s(literal 7/8 binary64) (log.f64 x)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 15/8 binary64)) (cosh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)))) (*.f64 (pow.f64 x #s(literal 15/8 binary64)) (sinh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)))))
(+.f64 (*.f64 x (cosh.f64 (log.f64 x))) (*.f64 x (sinh.f64 (log.f64 x))))
(+.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))))
(+.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 7/4 binary64)))) (neg.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64)))))
(+.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (neg.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (neg.f64 (pow.f64 x #s(literal 7/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 7/4 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 7/4 binary64)))) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (neg.f64 (pow.f64 x #s(literal 7/4 binary64)))))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (*.f64 (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64)))))
(+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 7/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 7/4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x)))))
(+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 7/4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 7/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x)))))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 7/4 binary64))))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64))))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 7/4 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64))))
(+.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))

eval241.0ms (6.8%)

Memory
19.4MiB live, 296.3MiB allocated; 28ms collecting garbage
Compiler

Compiled 16 533 to 2 788 computations (83.1% saved)

prune15.0ms (0.4%)

Memory
12.5MiB live, 56.9MiB allocated; 3ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New9232925
Fresh000
Picked112
Done134
Total9256931
Accuracy
100.0%
Counts
931 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
▶99.4%
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
▶99.6%
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
✓99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
✓99.8%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Compiler

Compiled 48 to 38 computations (20.8% saved)

simplify6.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff0
#s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
cost-diff0
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
cost-diff0
(sqrt.f64 (sqrt.f64 x))
cost-diff0
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
cost-diff0
(pow.f64 x #s(literal 7/4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01560
02360
13460
25860
38660
410960
512060
612360
012360
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 7/4 binary64))
x
#s(literal 7/4 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 3 binary64)
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
#s(literal 3 binary64)
#s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 7/4 binary64))) (sqrt.f64 (sqrt.f64 x)))
(pow.f64 x #s(literal 7/4 binary64))
x
#s(literal 7/4 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 3 binary64)
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 3 binary64)
#s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize63.0ms (1.8%)

Memory
-33.2MiB live, 68.5MiB allocated; 23ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
#s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
accuracy0.140625
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy0.3180425180484117
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
accuracy0.0
(sqrt.f64 x)
accuracy0.1171875
(sqrt.f64 (sqrt.f64 x))
accuracy0.178066259768442
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
accuracy0.30078125
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
Samples
54.0ms256×0valid
Compiler

Compiled 50 to 16 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-pow: 25.0ms (55.8% of total)
ival-div: 11.0ms (24.5% of total)
ival-mult: 4.0ms (8.9% of total)
ival-sqrt: 3.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series134.0ms (3.8%)

Memory
-10.9MiB live, 141.8MiB allocated; 32ms collecting garbage
Counts
9 → 12
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 7/4 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(sqrt.f64 (sqrt.f64 x))
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
#s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 x)
Outputs
(* 3 (pow x 2))
(pow (* 1 (pow x 7)) 1/4)
(* 3 (pow (* 1 x) 1/4))
(pow (* 1 x) 1/4)
(/ 1 (pow x 2))
(/ 1 x)
(sqrt x)
(* 3 (* (pow -1 1/4) (* (pow x 2) (sqrt (sqrt -1)))))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 x))))))
(* 3 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
54.0ms
x
@-inf
((* (pow x 7/4) (* (sqrt (sqrt x)) 3)) (pow x 7/4) (* (sqrt (sqrt x)) 3) (sqrt (sqrt x)) (/ 3 (/ 1 (* x x))) (/ 1 (* x x)) (/ (/ 1 x) x) (/ 1 x) (sqrt x))
43.0ms
x
@0
((* (pow x 7/4) (* (sqrt (sqrt x)) 3)) (pow x 7/4) (* (sqrt (sqrt x)) 3) (sqrt (sqrt x)) (/ 3 (/ 1 (* x x))) (/ 1 (* x x)) (/ (/ 1 x) x) (/ 1 x) (sqrt x))
37.0ms
x
@inf
((* (pow x 7/4) (* (sqrt (sqrt x)) 3)) (pow x 7/4) (* (sqrt (sqrt x)) 3) (sqrt (sqrt x)) (/ 3 (/ 1 (* x x))) (/ 1 (* x x)) (/ (/ 1 x) x) (/ 1 x) (sqrt x))

simplify158.0ms (4.4%)

Memory
29.1MiB live, 114.3MiB allocated; 20ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03973
18573
220670
353370
4164469
5610969
0870069
Stop Event
1×iter limit
1×node limit
Counts
12 → 12
Calls
Call 1
Inputs
(* 3 (pow x 2))
(pow (* 1 (pow x 7)) 1/4)
(* 3 (pow (* 1 x) 1/4))
(pow (* 1 x) 1/4)
(/ 1 (pow x 2))
(/ 1 x)
(sqrt x)
(* 3 (* (pow -1 1/4) (* (pow x 2) (sqrt (sqrt -1)))))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 x))))))
(* 3 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(pow (* 1 (pow x 7)) 1/4)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64))
(* 3 (pow (* 1 x) 1/4))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(sqrt x)
(sqrt.f64 x)
(* 3 (* (pow -1 1/4) (* (pow x 2) (sqrt (sqrt -1)))))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -7 binary64))) #s(literal 1/4 binary64))
(* 3 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite178.0ms (5%)

Memory
-9.6MiB live, 135.1MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01554
02354
16044
217340
361740
4371140
0834440
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 413
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 7/4 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(sqrt.f64 (sqrt.f64 x))
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
#s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 x)
Outputs
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 25/16 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 7/32 binary64))) (pow.f64 x #s(literal 7/32 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
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(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))))
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (cosh.f64 (log.f64 (sqrt.f64 x))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval75.0ms (2.1%)

Memory
24.6MiB live, 113.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 7 263 to 1 582 computations (78.2% saved)

prune51.0ms (1.4%)

Memory
-36.7MiB live, 66.4MiB allocated; 12ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New4240424
Fresh000
Picked022
Done044
Total4246430
Accuracy
100.0%
Counts
430 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓99.4%
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓99.6%
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
✓99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
✓99.8%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Compiler

Compiled 110 to 70 computations (36.4% saved)

regimes5.0ms (0.2%)

Memory
15.7MiB live, 15.6MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
Outputs
(*.f64 (*.f64 x x) #s(literal 3 binary64))
Calls

2 calls:

3.0ms
x
2.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Results
AccuracySegmentsBranch
99.8%1(*.f64 (*.f64 x #s(literal 3 binary64)) x)
99.8%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Outputs
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Results
AccuracySegmentsBranch
99.7%1(*.f64 (*.f64 x #s(literal 3 binary64)) x)
99.7%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify49.0ms (1.4%)

Memory
-23.1MiB live, 23.9MiB allocated; 3ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Outputs
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)

derivations123.0ms (3.5%)

Memory
-7.7MiB live, 139.0MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
198
2128
3188
4498
51388
63778
716988
090358
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 10 to 6 computations (40% saved)

preprocess59.0ms (1.7%)

Memory
18.5MiB live, 64.5MiB allocated; 2ms collecting garbage
Remove

(abs x)

Compiler

Compiled 50 to 36 computations (28% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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