Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, A

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample715.0ms (15.2%)

Memory
28.7MiB live, 718.6MiB allocated
Samples
482.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 211.0ms
ival-mult: 197.0ms (93.5% of total)
ival-true: 6.0ms (2.8% of total)
exact: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain125.0ms (2.7%)

Memory
-15.3MiB live, 96.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
300-4(1.8163206216920562e-160 221673458.44175413)(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) x)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)n*u150
*.f64(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)n*o110
Confusion
Predicted +Predicted -
+264
-0226
Precision
1.0
Recall
0.8666666666666667
Confusion?
Predicted +Predicted MaybePredicted -
+2604
-00226
Precision?
1.0
Recall?
0.8666666666666667
Freqs
test
numberfreq
0230
126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 9.0ms (90.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess32.0ms (0.7%)

Memory
4.7MiB live, 50.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641
14635
213335
331435
451935
577135
692835
792835
067
097
1157
2297
3497
4927
51897
63067
73987
84337
04337
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
Outputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
Symmetry

(abs x)

(negabs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify13.0ms (0.3%)

Memory
-27.3MiB live, 16.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11518
22918
34918
49218
518918
630618
739818
843318
043318
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
Outputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(*.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)
y

localize14.0ms (0.3%)

Memory
34.8MiB live, 34.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x #s(literal 3 binary64))
accuracy0.12109375
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
accuracy6.3721908142071735
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
Samples
10.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (88.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
-34.3MiB live, 15.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
Outputs
(* 3 (* (pow x 2) y))
(* 3 (pow x 2))
(* 3 x)
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((* (* (* x 3) x) y) (* (* x 3) x) (* x 3))
1.0ms
x
@0
((* (* (* x 3) x) y) (* (* x 3) x) (* x 3))
1.0ms
x
@inf
((* (* (* x 3) x) y) (* (* x 3) x) (* x 3))
1.0ms
y
@0
((* (* (* x 3) x) y) (* (* x 3) x) (* x 3))
1.0ms
y
@inf
((* (* (* x 3) x) y) (* (* x 3) x) (* x 3))

simplify9.0ms (0.2%)

Memory
19.7MiB live, 19.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
11715
23515
39615
419915
531215
640415
744715
044715
Stop Event
iter limit
saturated
Counts
3 → 3
Calls
Call 1
Inputs
(* 3 (* (pow x 2) y))
(* 3 (pow x 2))
(* 3 x)
Outputs
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite142.0ms (3%)

Memory
13.4MiB live, 293.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
11515
22915
35115
410415
527015
659915
7244515
0902815
Stop Event
iter limit
node limit
iter limit
Counts
3 → 171
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
(*.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)) (*.f64 #s(literal -3 binary64) y)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) y)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -3 binary64) y)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 x x))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 y x) x))
(*.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal -3 binary64) 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)) (*.f64 #s(literal -3 binary64) y))))
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -3 binary64) y)))
(*.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) y))
(*.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -3 binary64))
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x)
(*.f64 (*.f64 y x) (*.f64 #s(literal -3 binary64) x))
(*.f64 y (*.f64 (*.f64 #s(literal -3 binary64) x) x))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) x) (neg.f64 y))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) x) y)
(*.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 y x))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y x) x))
(*.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y x)))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64))) (*.f64 y #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))) (*.f64 y #s(literal 3 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64))) (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 x x (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 y #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))) (*.f64 y #s(literal 3 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 y #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 (*.f64 y #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))) (*.f64 y #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))) (*.f64 y #s(literal 3 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 y #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))) (*.f64 y #s(literal 3 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 y #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 y #s(literal 3 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) y)) (pow.f64 x #s(literal -2 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))) (*.f64 #s(literal -3 binary64) y)) (-.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 1 binary64) (*.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal -2 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))) (*.f64 y #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 #s(literal -3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (+.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 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 y #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))) (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 y #s(literal 3 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 y #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 y #s(literal 3 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 y #s(literal 3 binary64)))))))
(neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 y x) x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) y (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) y (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) y) #s(literal 3 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) y) #s(literal 3 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 y #s(literal 3 binary64))))
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) (*.f64 #s(literal -3 binary64) y) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 #s(literal -3 binary64) y)))
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) (*.f64 y #s(literal 3 binary64)) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) (*.f64 (*.f64 #s(literal -3 binary64) y) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 (*.f64 #s(literal -3 binary64) y) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) y) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 (*.f64 #s(literal -3 binary64) y) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) y) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (cosh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 y x)) (*.f64 (sinh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 y x))))
(fma.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) y) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 #s(literal -3 binary64) y)))
(fma.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 y #s(literal 3 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 y #s(literal 3 binary64))))
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 #s(literal -3 binary64) y) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) y)))
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 y #s(literal 3 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) (*.f64 (*.f64 y #s(literal 3 binary64)) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 (*.f64 y #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))) (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 y #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))) (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) (*.f64 y #s(literal 3 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (*.f64 y #s(literal 3 binary64))))
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eval18.0ms (0.4%)

Memory
-4.6MiB live, 41.6MiB allocated
Compiler

Compiled 2 925 to 458 computations (84.3% saved)

prune11.0ms (0.2%)

Memory
-28.3MiB live, 25.6MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1695174
Fresh000
Picked011
Done000
Total1696175
Accuracy
99.9%
Counts
175 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
95.5%
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
89.9%
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x) y)
99.7%
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
90.0%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
90.0%
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
Compiler

Compiled 97 to 82 computations (15.5% saved)

simplify33.0ms (0.7%)

Memory
9.2MiB live, 56.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
020127
036123
172123
2175115
3358115
4677115
51096115
61249115
71345115
81431115
91469115
101469115
111469115
01469115
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
(*.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
#s(literal 3 binary64)
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(*.f64 x x)
x
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x) y)
(*.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)
y
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) y)
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
#s(literal 3 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
#s(literal 3 binary64)
y
Outputs
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(*.f64 (*.f64 y x) x)
(*.f64 (*.f64 x x) y)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
(*.f64 x x)
x
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x) y)
(*.f64 (*.f64 (*.f64 x x) y) #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)
y
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) y)
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
#s(literal 3 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
#s(literal 3 binary64)
y

localize125.0ms (2.7%)

Memory
-10.0MiB live, 229.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.16015625
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy0.17578125
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
accuracy2.5538882006411
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
accuracy0.0
(sqrt.f64 x)
accuracy0.12890625
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy0.16015625
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy3.9507077999893965
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) y)
accuracy0.0390625
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
accuracy0.14453125
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy0.16015625
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy5.055459616712814
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x) y)
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.0
(*.f64 x x)
accuracy5.088189903877584
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
accuracy0.0
(*.f64 y x)
accuracy0.0859375
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
accuracy0.09375
(*.f64 (*.f64 y x) x)
Samples
62.0ms85×5exit
40.0ms171×0valid
Compiler

Compiled 129 to 22 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 30.0ms (56.9% of total)
ival-sqrt: 9.0ms (17.1% of total)
ival-pow: 7.0ms (13.3% of total)
adjust: 6.0ms (11.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.5%)

Memory
11.3MiB live, 57.3MiB allocated
Counts
16 → 21
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
(*.f64 (*.f64 y x) x)
(*.f64 y x)
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(*.f64 y #s(literal 3 binary64))
(*.f64 x x)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x) y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) y)
(pow.f64 x #s(literal 3/2 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(sqrt.f64 x)
Outputs
(* 3 (* (pow x 2) y))
(* (pow x 2) y)
(* x y)
(pow x 2)
(* 3 x)
(* 3 (pow x 2))
(* 3 (sqrt x))
(* (sqrt (pow x 3)) y)
(sqrt (pow x 3))
(* 3 (* (sqrt x) y))
(sqrt x)
(* -3 (* x (pow (sqrt -1) 2)))
(* -3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* -3 (* (pow x 2) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 y)
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((* (* (* y x) x) 3) (* (* y x) x) (* y x) (* (* y 3) (* x x)) (* y 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (* (sqrt x) 3) (sqrt x)) x) y) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (* (* (pow x 3/2) y) (* (sqrt x) 3)) (* (pow x 3/2) y) (pow x 3/2) (* (pow x 3/2) (* (* (sqrt x) 3) y)) (* (* (sqrt x) 3) y) (sqrt x))
6.0ms
y
@inf
((* (* (* y x) x) 3) (* (* y x) x) (* y x) (* (* y 3) (* x x)) (* y 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (* (sqrt x) 3) (sqrt x)) x) y) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (* (* (pow x 3/2) y) (* (sqrt x) 3)) (* (pow x 3/2) y) (pow x 3/2) (* (pow x 3/2) (* (* (sqrt x) 3) y)) (* (* (sqrt x) 3) y) (sqrt x))
3.0ms
x
@0
((* (* (* y x) x) 3) (* (* y x) x) (* y x) (* (* y 3) (* x x)) (* y 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (* (sqrt x) 3) (sqrt x)) x) y) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (* (* (pow x 3/2) y) (* (sqrt x) 3)) (* (pow x 3/2) y) (pow x 3/2) (* (pow x 3/2) (* (* (sqrt x) 3) y)) (* (* (sqrt x) 3) y) (sqrt x))
3.0ms
x
@inf
((* (* (* y x) x) 3) (* (* y x) x) (* y x) (* (* y 3) (* x x)) (* y 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (* (sqrt x) 3) (sqrt x)) x) y) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (* (* (pow x 3/2) y) (* (sqrt x) 3)) (* (pow x 3/2) y) (pow x 3/2) (* (pow x 3/2) (* (* (sqrt x) 3) y)) (* (* (sqrt x) 3) y) (sqrt x))
2.0ms
y
@-inf
((* (* (* y x) x) 3) (* (* y x) x) (* y x) (* (* y 3) (* x x)) (* y 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (* (sqrt x) 3) (sqrt x)) x) y) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (* (* (pow x 3/2) y) (* (sqrt x) 3)) (* (pow x 3/2) y) (pow x 3/2) (* (pow x 3/2) (* (* (sqrt x) 3) y)) (* (* (sqrt x) 3) y) (sqrt x))

simplify261.0ms (5.6%)

Memory
14.9MiB live, 164.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037105
18599
221197
365197
495097
5148597
6178197
7190897
8196697
9202697
10207097
11207097
12207497
13207497
14207497
15207497
16437697
0535497
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
21 → 21
Calls
Call 1
Inputs
(* 3 (* (pow x 2) y))
(* (pow x 2) y)
(* x y)
(pow x 2)
(* 3 x)
(* 3 (pow x 2))
(* 3 (sqrt x))
(* (sqrt (pow x 3)) y)
(sqrt (pow x 3))
(* 3 (* (sqrt x) y))
(sqrt x)
(* -3 (* x (pow (sqrt -1) 2)))
(* -3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* -3 (* (pow x 2) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 y)
Outputs
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) x) x)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* x y)
(*.f64 x y)
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 (pow x 2))
(*.f64 (*.f64 #s(literal -3 binary64) x) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* (sqrt (pow x 3)) y)
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(sqrt x)
(sqrt.f64 x)
(* -3 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) x)
(* -3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) x) x)
(* -3 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 (*.f64 #s(literal -3 binary64) x) x)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) x) x)
(* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)

rewrite190.0ms (4%)

Memory
-19.9MiB live, 165.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02095
03685
18384
223177
375777
4456677
0854877
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 165
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
(*.f64 (*.f64 y x) x)
(*.f64 y x)
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(*.f64 y #s(literal 3 binary64))
(*.f64 x x)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x) y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) y)
(pow.f64 x #s(literal 3/2 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(sqrt.f64 x)
Outputs
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 13/8 binary64)) (*.f64 #s(literal 3 binary64) y)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) y)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) y) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 x x))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) y))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (*.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 7/4 binary64)) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 13/8 binary64)) (*.f64 #s(literal 3 binary64) y)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) y)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) y) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) y) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
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(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(+.f64 (cosh.f64 (/.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (log.f64 x) #s(literal 2 binary64))))
(+.f64 (neg.f64 (cosh.f64 (log.f64 (sqrt.f64 x)))) (sinh.f64 (neg.f64 (log.f64 (sqrt.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))))

eval246.0ms (5.2%)

Memory
25.5MiB live, 208.9MiB allocated
Compiler

Compiled 18 309 to 2 799 computations (84.7% saved)

prune66.0ms (1.4%)

Memory
-29.9MiB live, 82.1MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1 05071 057
Fresh000
Picked325
Done011
Total1 053101 063
Accuracy
100.0%
Counts
1 063 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
99.1%
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)))
99.6%
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
99.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
95.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
99.7%
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
90.0%
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
90.0%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
95.4%
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
90.0%
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
Compiler

Compiled 171 to 136 computations (20.5% saved)

simplify73.0ms (1.5%)

Memory
18.3MiB live, 64.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) y) x)
cost-diff4
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) x)
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) x) y)
cost-diff4
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) x)
cost-diff4
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) y)
cost-diff0
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)
cost-diff0
(pow.f64 x #s(literal 3/4 binary64))
cost-diff0
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff4
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021149
038137
182129
2218129
3489129
4939129
51881129
62396129
72501129
82501129
92501129
102503129
112503129
122503129
02503129
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y))
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
#s(literal 3 binary64)
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(literal 3 binary64)
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
y
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) x) y)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) y))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) y)
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 3/4 binary64)))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 3 binary64)
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(literal 3 binary64)
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
y
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (*.f64 (sqrt.f64 x) x) y)
(*.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)

localize72.0ms (1.5%)

Memory
14.5MiB live, 108.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1640625
(*.f64 (*.f64 (sqrt.f64 x) y) x)
accuracy0.19140625
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy0.19140625
(*.f64 (sqrt.f64 x) y)
accuracy0.25390625
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy0.1640625
(*.f64 (sqrt.f64 x) x)
accuracy0.19140625
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy0.25390625
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy5.866160661479106
(*.f64 (*.f64 (sqrt.f64 x) x) y)
accuracy0.1640625
(*.f64 (sqrt.f64 x) x)
accuracy0.25
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
accuracy0.25390625
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy2.8739181922031922
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
accuracy0.0
(*.f64 x x)
accuracy0.1484375
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
accuracy6.384254733120541
(*.f64 (*.f64 x x) y)
accuracy0.1875
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y))
accuracy0.19140625
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy0.2109375
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)
accuracy0.25390625
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
Samples
58.0ms256×0valid
Compiler

Compiled 151 to 23 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 24.0ms (68.2% of total)
ival-pow: 7.0ms (19.9% of total)
ival-sqrt: 4.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series292.0ms (6.2%)

Memory
-19.6MiB live, 263.2MiB allocated
Counts
17 → 22
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3/4 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) x) y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
Outputs
(* (sqrt (pow x 3)) y)
(* 3 (* (pow x 2) y))
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* 1 (pow x 3)) 1/4) y)
(* (pow x 2) y)
(pow x 2)
(sqrt (pow x 3))
(sqrt x)
(* 3 (* (sqrt x) y))
(* (sqrt x) y)
(* 3 (sqrt x))
(* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))
(* 3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(* y (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))))
(* -3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

6 calls:

TimeVariablePointExpression
121.0ms
x
@0
((* (pow x 3/4) (* (pow x 3/4) y)) (* (* (pow x 3/4) (* (pow x 3/4) y)) (* (sqrt x) 3)) (pow x 3/4) (* (pow x 3/4) y) (* (* (* x x) y) 3) (* (* x x) y) (* x x) (* (* (sqrt x) x) (* (* (sqrt x) 3) y)) (* (sqrt x) x) (sqrt x) (* (* (sqrt x) 3) y) (* (* (* (sqrt x) x) y) (* (sqrt x) 3)) (* (* (sqrt x) x) y) (* (* (* (sqrt x) y) x) (* (sqrt x) 3)) (* (* (sqrt x) y) x) (* (sqrt x) y) (* (sqrt x) 3))
66.0ms
x
@-inf
((* (pow x 3/4) (* (pow x 3/4) y)) (* (* (pow x 3/4) (* (pow x 3/4) y)) (* (sqrt x) 3)) (pow x 3/4) (* (pow x 3/4) y) (* (* (* x x) y) 3) (* (* x x) y) (* x x) (* (* (sqrt x) x) (* (* (sqrt x) 3) y)) (* (sqrt x) x) (sqrt x) (* (* (sqrt x) 3) y) (* (* (* (sqrt x) x) y) (* (sqrt x) 3)) (* (* (sqrt x) x) y) (* (* (* (sqrt x) y) x) (* (sqrt x) 3)) (* (* (sqrt x) y) x) (* (sqrt x) y) (* (sqrt x) 3))
64.0ms
y
@0
((* (pow x 3/4) (* (pow x 3/4) y)) (* (* (pow x 3/4) (* (pow x 3/4) y)) (* (sqrt x) 3)) (pow x 3/4) (* (pow x 3/4) y) (* (* (* x x) y) 3) (* (* x x) y) (* x x) (* (* (sqrt x) x) (* (* (sqrt x) 3) y)) (* (sqrt x) x) (sqrt x) (* (* (sqrt x) 3) y) (* (* (* (sqrt x) x) y) (* (sqrt x) 3)) (* (* (sqrt x) x) y) (* (* (* (sqrt x) y) x) (* (sqrt x) 3)) (* (* (sqrt x) y) x) (* (sqrt x) y) (* (sqrt x) 3))
18.0ms
x
@inf
((* (pow x 3/4) (* (pow x 3/4) y)) (* (* (pow x 3/4) (* (pow x 3/4) y)) (* (sqrt x) 3)) (pow x 3/4) (* (pow x 3/4) y) (* (* (* x x) y) 3) (* (* x x) y) (* x x) (* (* (sqrt x) x) (* (* (sqrt x) 3) y)) (* (sqrt x) x) (sqrt x) (* (* (sqrt x) 3) y) (* (* (* (sqrt x) x) y) (* (sqrt x) 3)) (* (* (sqrt x) x) y) (* (* (* (sqrt x) y) x) (* (sqrt x) 3)) (* (* (sqrt x) y) x) (* (sqrt x) y) (* (sqrt x) 3))
12.0ms
y
@-inf
((* (pow x 3/4) (* (pow x 3/4) y)) (* (* (pow x 3/4) (* (pow x 3/4) y)) (* (sqrt x) 3)) (pow x 3/4) (* (pow x 3/4) y) (* (* (* x x) y) 3) (* (* x x) y) (* x x) (* (* (sqrt x) x) (* (* (sqrt x) 3) y)) (* (sqrt x) x) (sqrt x) (* (* (sqrt x) 3) y) (* (* (* (sqrt x) x) y) (* (sqrt x) 3)) (* (* (sqrt x) x) y) (* (* (* (sqrt x) y) x) (* (sqrt x) 3)) (* (* (sqrt x) y) x) (* (sqrt x) y) (* (sqrt x) 3))

simplify129.0ms (2.7%)

Memory
23.6MiB live, 213.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045135
1115126
2380120
31011120
41786118
55087118
08208118
Stop Event
iter limit
node limit
Counts
22 → 22
Calls
Call 1
Inputs
(* (sqrt (pow x 3)) y)
(* 3 (* (pow x 2) y))
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* 1 (pow x 3)) 1/4) y)
(* (pow x 2) y)
(pow x 2)
(sqrt (pow x 3))
(sqrt x)
(* 3 (* (sqrt x) y))
(* (sqrt x) y)
(* 3 (sqrt x))
(* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))
(* 3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(* y (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))))
(* -3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* (sqrt (pow x 3)) y)
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y)
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* (pow (* 1 (pow x 3)) 1/4) y)
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt x)
(sqrt.f64 x)
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* 3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) y)
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) #s(literal 1/4 binary64))
(* y (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) #s(literal 1/4 binary64)) y)
(* -3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(* -1 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

rewrite222.0ms (4.7%)

Memory
0.5MiB live, 321.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021111
038133
193100
227985
3107285
4516285
0821885
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 324
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3/4 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) x) y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y x)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y)) (neg.f64 (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (pow.f64 x #s(literal 3/16 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/8 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y)))
(*.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) y)
(*.f64 (sqrt.f64 x) (*.f64 y x))
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 y (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 y (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 x (*.f64 (sqrt.f64 x) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) #s(literal 3 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (-.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))))))
(/.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64))))))))
(neg.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y)) (pow.f64 x #s(literal 3/8 binary64))))
(neg.f64 (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3/4 binary64))))
(neg.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (neg.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(fma.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (neg.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x)))) (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (sinh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x)))))
(fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y)))
(fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) y (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) y))
(fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) y) (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) y) (pow.f64 x #s(literal 3/4 binary64))))
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x)))) (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 (sinh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))))))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (*.f64 y x) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (*.f64 y x)))
(fma.f64 (cosh.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) y) (*.f64 (sinh.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) y (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) y))
(fma.f64 (cosh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (*.f64 (sinh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/8 binary64)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (cosh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (sinh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 x)))))
(fma.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(fma.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(fma.f64 (*.f64 y x) (cosh.f64 (log.f64 (sqrt.f64 x))) (*.f64 (*.f64 y x) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(fma.f64 (*.f64 (sqrt.f64 x) y) (cosh.f64 (log.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) y) (sinh.f64 (log.f64 x))))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(fma.f64 y (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) (*.f64 y (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))))
(fma.f64 y (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 y (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) y) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) y)))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 (sinh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)))))
(+.f64 (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x)))) (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))))) (*.f64 (sinh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))))))
(+.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y)) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y)) (*.f64 (sinh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y)))
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (*.f64 y x)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (*.f64 y x)))
(+.f64 (*.f64 (cosh.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) y)) (*.f64 (sinh.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) y)))
(+.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) y) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) y))
(+.f64 (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) y) (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) y))
(+.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) y) (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) y) (pow.f64 x #s(literal 3/4 binary64))))
(+.f64 (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (neg.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))))) (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (sinh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x)))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 3/8 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/8 binary64)))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (cosh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 x)))) (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (sinh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 x)))))
(+.f64 (*.f64 (*.f64 y x) (cosh.f64 (log.f64 (sqrt.f64 x)))) (*.f64 (*.f64 y x) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (cosh.f64 (log.f64 x))) (*.f64 (*.f64 (sqrt.f64 x) y) (sinh.f64 (log.f64 x))))
(+.f64 (*.f64 y (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 y (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))))
(+.f64 (*.f64 y (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 y (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) y)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) y)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 #s(literal 3 binary64) y))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) y)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y))
(*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))) (neg.f64 (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x)
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3 binary64)) (*.f64 y (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) y) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/4 binary64))))
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(pow.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (neg.f64 (pow.f64 x #s(literal 5/8 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(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 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 x #s(literal 2 binary64))
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(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
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(+.f64 (*.f64 x (cosh.f64 (log.f64 x))) (*.f64 x (sinh.f64 (log.f64 x))))
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(*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 x x))
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(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x)
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3 binary64)) (*.f64 y (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) y) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (pow.f64 x #s(literal 3/16 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) y)))
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(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) y)
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
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(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (cosh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 x)))) (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (sinh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 x)))))
(+.f64 (*.f64 (*.f64 y x) (cosh.f64 (log.f64 (sqrt.f64 x)))) (*.f64 (*.f64 y x) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (cosh.f64 (log.f64 x))) (*.f64 (*.f64 (sqrt.f64 x) y) (sinh.f64 (log.f64 x))))
(+.f64 (*.f64 y (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 y (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))))
(+.f64 (*.f64 y (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 y (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) y)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) y)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (*.f64 y (pow.f64 x #s(literal 3/4 binary64)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) y (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) y))
(fma.f64 y (cosh.f64 (log.f64 (sqrt.f64 x))) (*.f64 y (sinh.f64 (log.f64 (sqrt.f64 x)))))
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) y) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) y))
(+.f64 (*.f64 y (cosh.f64 (log.f64 (sqrt.f64 x)))) (*.f64 y (sinh.f64 (log.f64 (sqrt.f64 x)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (cosh.f64 (log.f64 (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (cosh.f64 (log.f64 (sqrt.f64 x)))) (*.f64 #s(literal 3 binary64) (sinh.f64 (log.f64 (sqrt.f64 x)))))

eval349.0ms (7.4%)

Memory
44.6MiB live, 444.1MiB allocated
Compiler

Compiled 26 545 to 3 623 computations (86.4% saved)

prune167.0ms (3.6%)

Memory
-18.3MiB live, 137.1MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1 35821 360
Fresh112
Picked415
Done033
Total1 36371 370
Accuracy
100.0%
Counts
1 370 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)))
99.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
99.7%
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
90.0%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
99.7%
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
90.0%
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
99.7%
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x))
Compiler

Compiled 58 to 49 computations (15.5% saved)

simplify48.0ms (1%)

Memory
-8.6MiB live, 49.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 7/8 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y))
cost-diff0
(pow.f64 x #s(literal 9/8 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)))
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 y x))
cost-diff0
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x)
cost-diff1
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01774
02875
15273
211773
322373
434273
561073
682973
786373
892973
9103873
10111873
11111873
0111873
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x)
(*.f64 #s(literal -3 binary64) (*.f64 y x))
#s(literal -3 binary64)
(*.f64 y x)
y
x
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
(*.f64 y x)
y
x
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)))
(pow.f64 x #s(literal 9/8 binary64))
x
#s(literal 9/8 binary64)
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y))
(pow.f64 x #s(literal 7/8 binary64))
#s(literal 7/8 binary64)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
Outputs
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) y)
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x)
(*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) x)
(*.f64 #s(literal -3 binary64) (*.f64 y x))
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
#s(literal -3 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) y)
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) y))
(pow.f64 x #s(literal 9/8 binary64))
x
#s(literal 9/8 binary64)
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) y) #s(literal 3 binary64))
(pow.f64 x #s(literal 7/8 binary64))
#s(literal 7/8 binary64)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y

localize67.0ms (1.4%)

Memory
8.9MiB live, 151.1MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 7/8 binary64))
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.234375
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y))
accuracy0.5425628772324425
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)))
accuracy0.0
(*.f64 y x)
accuracy0.0
(*.f64 #s(literal 3 binary64) x)
accuracy0.17578125
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
accuracy0.0
(*.f64 y x)
accuracy0.0
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x))
accuracy0.13671875
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x)
accuracy0.2421875
(*.f64 #s(literal -3 binary64) (*.f64 y x))
Samples
55.0ms256×0valid
Compiler

Compiled 76 to 19 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 18.0ms (47.6% of total)
ival-pow: 17.0ms (44.9% of total)
exact: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series292.0ms (6.2%)

Memory
5.6MiB live, 380.0MiB allocated
Counts
11 → 13
Calls
Call 1
Inputs
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x)
(*.f64 #s(literal -3 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)))
(pow.f64 x #s(literal 9/8 binary64))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y))
(pow.f64 x #s(literal 7/8 binary64))
(*.f64 #s(literal 3 binary64) y)
Outputs
(* 3 (* (pow x 2) y))
(* -3 (* (pow x 2) y))
(* -3 (* x y))
(* x y)
(* 3 x)
(pow (* 1 (pow x 9)) 1/8)
(* 3 (* (pow (* 1 (pow x 7)) 1/8) y))
(pow (* 1 (pow x 7)) 1/8)
(* 3 (* (pow -1 1/4) (* (pow x 2) y)))
(exp (* 1/8 (+ (log -1) (* -9 (log (/ -1 x))))))
(* 3 (* y (exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(* 3 y)
Calls

6 calls:

TimeVariablePointExpression
73.0ms
x
@0
((neg (* (* -3 (* y x)) x)) (* (* -3 (* y x)) x) (* -3 (* y x)) (* y x) (* (* y x) (* 3 x)) (* 3 x) (* (pow x 9/8) (* (pow x 7/8) (* 3 y))) (pow x 9/8) (* (pow x 7/8) (* 3 y)) (pow x 7/8) (* 3 y))
60.0ms
y
@-inf
((neg (* (* -3 (* y x)) x)) (* (* -3 (* y x)) x) (* -3 (* y x)) (* y x) (* (* y x) (* 3 x)) (* 3 x) (* (pow x 9/8) (* (pow x 7/8) (* 3 y))) (pow x 9/8) (* (pow x 7/8) (* 3 y)) (pow x 7/8) (* 3 y))
52.0ms
x
@inf
((neg (* (* -3 (* y x)) x)) (* (* -3 (* y x)) x) (* -3 (* y x)) (* y x) (* (* y x) (* 3 x)) (* 3 x) (* (pow x 9/8) (* (pow x 7/8) (* 3 y))) (pow x 9/8) (* (pow x 7/8) (* 3 y)) (pow x 7/8) (* 3 y))
38.0ms
x
@-inf
((neg (* (* -3 (* y x)) x)) (* (* -3 (* y x)) x) (* -3 (* y x)) (* y x) (* (* y x) (* 3 x)) (* 3 x) (* (pow x 9/8) (* (pow x 7/8) (* 3 y))) (pow x 9/8) (* (pow x 7/8) (* 3 y)) (pow x 7/8) (* 3 y))
35.0ms
y
@0
((neg (* (* -3 (* y x)) x)) (* (* -3 (* y x)) x) (* -3 (* y x)) (* y x) (* (* y x) (* 3 x)) (* 3 x) (* (pow x 9/8) (* (pow x 7/8) (* 3 y))) (pow x 9/8) (* (pow x 7/8) (* 3 y)) (pow x 7/8) (* 3 y))

simplify136.0ms (2.9%)

Memory
20.1MiB live, 207.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
04598
111098
225889
368789
4202586
0841386
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
(* 3 (* (pow x 2) y))
(* -3 (* (pow x 2) y))
(* -3 (* x y))
(* x y)
(* 3 x)
(pow (* 1 (pow x 9)) 1/8)
(* 3 (* (pow (* 1 (pow x 7)) 1/8) y))
(pow (* 1 (pow x 7)) 1/8)
(* 3 (* (pow -1 1/4) (* (pow x 2) y)))
(exp (* 1/8 (+ (log -1) (* -9 (log (/ -1 x))))))
(* 3 (* y (exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(* 3 y)
Outputs
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* -3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) y) x)
(* -3 (* x y))
(*.f64 (*.f64 #s(literal -3 binary64) x) y)
(* x y)
(*.f64 x y)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(pow (* 1 (pow x 9)) 1/8)
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/8 binary64))
(* 3 (* (pow (* 1 (pow x 7)) 1/8) y))
(*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) y) #s(literal 3 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(* 3 (* (pow -1 1/4) (* (pow x 2) y)))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) y) x) #s(literal 3 binary64)) x)
(exp (* 1/8 (+ (log -1) (* -9 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1/8 binary64))
(* 3 (* y (exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -7 binary64))) #s(literal 1/8 binary64)))
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -7 binary64))) #s(literal 1/8 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)

rewrite170.0ms (3.6%)

Memory
-1.4MiB live, 223.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01760
02858
16655
219255
375555
4496655
0814255
Stop Event
iter limit
node limit
iter limit
Counts
11 → 697
Calls
Call 1
Inputs
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x)
(*.f64 #s(literal -3 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)))
(pow.f64 x #s(literal 9/8 binary64))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y))
(pow.f64 x #s(literal 7/8 binary64))
(*.f64 #s(literal 3 binary64) y)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) y)
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -3 binary64)) y)
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y)) (pow.f64 x #s(literal 7/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 23/16 binary64)) (*.f64 #s(literal 3 binary64) y)) (pow.f64 x #s(literal 9/32 binary64))) (pow.f64 x #s(literal 9/32 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3 binary64)) y) (neg.f64 (pow.f64 x #s(literal 7/16 binary64)))) (neg.f64 (pow.f64 x #s(literal 7/16 binary64))))
(*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 23/16 binary64)) (*.f64 #s(literal 3 binary64) y))) (neg.f64 (pow.f64 x #s(literal 9/16 binary64))))
(*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) x) (neg.f64 y))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3 binary64)) y) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 7/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 25/16 binary64)) (*.f64 #s(literal 3 binary64) y)) (pow.f64 x #s(literal 7/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 9/16 binary64)) (*.f64 #s(literal 3 binary64) y)) (pow.f64 x #s(literal 23/16 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 9/8 binary64))) (pow.f64 x #s(literal 7/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) y))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y #s(literal -3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x y))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x x) #s(literal -3 binary64)))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal -3 binary64)) x))
(*.f64 (pow.f64 x #s(literal 23/16 binary64)) (*.f64 (pow.f64 x #s(literal 9/16 binary64)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 25/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) y) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (neg.f64 x) y))
(*.f64 (pow.f64 x #s(literal 25/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) y) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 23/16 binary64)) (*.f64 #s(literal 3 binary64) y)) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3 binary64)) y) (pow.f64 x #s(literal 7/8 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) #s(literal -3 binary64))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal 9/32 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 23/16 binary64)) (*.f64 #s(literal 3 binary64) y)) (pow.f64 x #s(literal 9/32 binary64))))
(*.f64 (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)) y) (neg.f64 (pow.f64 x #s(literal 7/16 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 9/16 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 23/16 binary64)) (*.f64 #s(literal 3 binary64) y))))
(*.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 (*.f64 x y) x) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) y))
(*.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 (neg.f64 x) x))
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eval51.0ms (1.1%)

Memory
12.9MiB live, 100.9MiB allocated
Compiler

Compiled 8 419 to 1 310 computations (84.4% saved)

prune26.0ms (0.6%)

Memory
-14.6MiB live, 38.5MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New4281429
Fresh000
Picked033
Done044
Total4288436
Accuracy
100.0%
Counts
436 → 8
Alt Table
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StatusAccuracyProgram
99.1%
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)))
99.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
99.7%
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
90.0%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
99.7%
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x)
99.7%
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
90.0%
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
99.7%
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x))
Compiler

Compiled 214 to 109 computations (49.1% saved)

regimes22.0ms (0.5%)

Memory
-10.0MiB live, 35.8MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x)
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x))
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x) y)
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
Outputs
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
Calls

4 calls:

9.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
4.0ms
y
4.0ms
x
4.0ms
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
Results
AccuracySegmentsBranch
99.7%1(*.f64 (*.f64 x #s(literal 3 binary64)) x)
99.7%1(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
99.7%1x
99.7%1y
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes4.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
1.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Results
AccuracySegmentsBranch
90.0%1(*.f64 (*.f64 x #s(literal 3 binary64)) x)
90.0%1(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
90.0%1x
90.0%1y
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify9.0ms (0.2%)

Memory
19.0MiB live, 19.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
Outputs
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))

soundness468.0ms (10%)

Memory
8.9MiB live, 390.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02095
03685
18384
223177
375777
4456677
0854877
0615
0915
11515
22915
35115
410415
527015
659915
7244515
0902815
021111
038133
193100
227985
3107285
4516285
0821885
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 66 to 45 computations (31.8% saved)

preprocess66.0ms (1.4%)

Memory
4.2MiB live, 49.1MiB allocated
Remove

(negabs y)

(abs x)

Compiler

Compiled 84 to 66 computations (21.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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