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

Time bar (total: 3.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

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

sample587.0ms (18.3%)

Memory
16.9MiB live, 955.1MiB allocated; 124ms collecting garbage
Samples
370.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-mult: 188.0ms (91.9% of total)
ival-true: 6.0ms (2.9% of total)
exact: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.5% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain57.0ms (1.8%)

Memory
32.5MiB live, 127.2MiB allocated; 5ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-0-(*.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*u180
*.f64(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)n*o130
Confusion
Predicted +Predicted -
+310
-0225
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3100
-00225
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0225
131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 11.0ms (94.8% 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)

preprocess40.0ms (1.2%)

Memory
-39.8MiB live, 64.8MiB allocated; 15ms collecting garbage
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; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify10.0ms (0.3%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
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

localize18.0ms (0.6%)

Memory
-12.6MiB live, 34.4MiB allocated; 2ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x #s(literal 3 binary64))
accuracy0.1328125
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
accuracy7.16142122723195
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
Samples
13.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 6.0ms (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)

series5.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
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
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
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))

simplify10.0ms (0.3%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
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)

rewrite139.0ms (4.3%)

Memory
1.1MiB live, 234.2MiB allocated; 20ms collecting garbage
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))))
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eval32.0ms (1%)

Memory
-2.2MiB live, 97.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 925 to 458 computations (84.3% saved)

prune12.0ms (0.4%)

Memory
-16.7MiB live, 29.3MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1668174
Fresh000
Picked101
Done000
Total1678175
Accuracy
100.0%
Counts
175 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.4%
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
95.3%
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
88.0%
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64))) y)
95.3%
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
88.6%
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x) y)
99.8%
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
88.7%
(*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) y)
88.7%
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
Compiler

Compiled 136 to 120 computations (11.8% saved)

simplify55.0ms (1.7%)

Memory
6.3MiB live, 52.7MiB allocated; 6ms collecting garbage
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
(pow.f64 x #s(literal -2 binary64))
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
cost-diff2
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 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
023124
040116
179116
2207108
3482108
41104108
51482108
61621108
71773108
81959108
92046108
102078108
112080108
122080108
02080108
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 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
#s(literal 1 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 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 #s(literal 3 binary64) (*.f64 (*.f64 x y) x))
(*.f64 (*.f64 y x) x)
(*.f64 (*.f64 x y) x)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x y) x))
(*.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 #s(literal 3 binary64) (*.f64 (*.f64 x y) x))
(*.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 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
#s(literal 1 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(*.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))
(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

localize205.0ms (6.4%)

Memory
-0.8MiB live, 322.2MiB allocated; 102ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.14453125
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
accuracy0.1484375
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy1.871776851220788
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
accuracy0.0
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.00390625
(pow.f64 x #s(literal -2 binary64))
accuracy4.371193868838241
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
accuracy0.0390625
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
accuracy0.1484375
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy0.20703125
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy4.416326023002677
(*.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)
accuracy4.439763523002677
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
accuracy0.0
(*.f64 y x)
accuracy0.07421875
(*.f64 (*.f64 y x) x)
accuracy0.078125
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
Samples
102.0ms92×5exit
62.0ms164×0valid
Compiler

Compiled 126 to 25 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 36.0ms (53% of total)
adjust: 15.0ms (22.1% of total)
ival-pow: 9.0ms (13.2% of total)
ival-sqrt: 6.0ms (8.8% of total)
ival-div: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.6%)

Memory
-7.0MiB live, 39.6MiB allocated; 5ms collecting garbage
Counts
17 → 20
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 y #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 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))
(*.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))
(/ 1 (pow x 2))
(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)) (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) (* (* y 3) 1) (/ (* (* y 3) 1) (pow x -2)) (pow x -2) (* (pow x 3/2) (* (* (sqrt x) 3) y)) (pow x 3/2) (* (* (sqrt x) 3) y) (sqrt x))
4.0ms
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) (* (* y 3) 1) (/ (* (* y 3) 1) (pow x -2)) (pow x -2) (* (pow x 3/2) (* (* (sqrt x) 3) y)) (pow x 3/2) (* (* (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) (* (* y 3) 1) (/ (* (* y 3) 1) (pow x -2)) (pow x -2) (* (pow x 3/2) (* (* (sqrt x) 3) y)) (pow x 3/2) (* (* (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) (* (* y 3) 1) (/ (* (* y 3) 1) (pow x -2)) (pow x -2) (* (pow x 3/2) (* (* (sqrt x) 3) y)) (pow x 3/2) (* (* (sqrt x) 3) y) (sqrt x))
2.0ms
y
@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) (* (* y 3) 1) (/ (* (* y 3) 1) (pow x -2)) (pow x -2) (* (pow x 3/2) (* (* (sqrt x) 3) y)) (pow x 3/2) (* (* (sqrt x) 3) y) (sqrt x))

simplify150.0ms (4.7%)

Memory
27.3MiB live, 74.1MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03793
18390
220389
364289
496689
5160189
6215989
7224689
8226889
9227889
10228489
11228489
12228889
13228889
14228889
15228889
16403189
17485189
18501089
19501089
20501089
21604289
0604289
Stop Event
iter limit
saturated
Counts
20 → 20
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))
(/ 1 (pow x 2))
(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)) (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 #s(literal -3 binary64) (*.f64 (*.f64 x y) x))
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 (pow x 2))
(*.f64 #s(literal -3 binary64) (*.f64 x x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) 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 #s(literal -3 binary64) (*.f64 (*.f64 x y) 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))
(* 3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x y) x))
(* (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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)

rewrite80.0ms (2.5%)

Memory
-16.0MiB live, 78.8MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02397
04086
110185
232078
0125278
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
17 → 668
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 y #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 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))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (neg.f64 (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 3/2 binary64)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (*.f64 x y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) y)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) x)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) y) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 #s(literal -3 binary64) y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))))
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(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) y)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) x)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) y) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 #s(literal -3 binary64) y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) y) (sqrt.f64 x))
(*.f64 (*.f64 (*.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 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.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 (*.f64 (sqrt.f64 x) y) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (/.f64 y (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -2 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)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x y))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) y)
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x y) x)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 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 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x y) x)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(*.f64 (sqrt.f64 x) (*.f64 x (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) y))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x y) x)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x x))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x y) x) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x y) x))
(*.f64 (*.f64 (*.f64 x y) x) #s(literal 3 binary64))
(*.f64 (*.f64 x y) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
(*.f64 x (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -3 binary64) y) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) x))
(neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))))
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x y) x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 3 binary64) y)))
(neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x y) x)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (*.f64 x (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (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 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))))

eval40.0ms (1.2%)

Memory
-1.3MiB live, 87.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 4 459 to 898 computations (79.9% saved)

prune20.0ms (0.6%)

Memory
-6.1MiB live, 48.7MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3487355
Fresh303
Picked325
Done000
Total3549363
Accuracy
100.0%
Counts
363 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
95.3%
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) y))
88.7%
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) y)
99.7%
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (neg.f64 x))
99.8%
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
99.7%
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
98.7%
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
88.7%
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
99.7%
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 146 to 122 computations (16.4% saved)

simplify61.0ms (1.9%)

Memory
3.9MiB live, 50.7MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff1
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
cost-diff2
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) y)
cost-diff2
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff1
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
cost-diff1
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (neg.f64 x))
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019115
033104
165104
2154102
3345102
4760102
51718102
62315102
72437102
82437102
92437102
102489102
112545102
02545102
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
(*.f64 x y)
x
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(literal 3 binary64)
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) y)
(*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
y
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
Outputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 x)
x
y
#s(literal 3 binary64)
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) y)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal -3 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
y
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 x)
x
y
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

localize92.0ms (2.9%)

Memory
15.8MiB live, 155.4MiB allocated; 13ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy0.10546875
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
accuracy0.16015625
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.0390625
(*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
accuracy0.09765625
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
accuracy4.416326023002677
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) y)
accuracy0.0
(*.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy0.0859375
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (neg.f64 x))
accuracy0.16015625
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
accuracy0.0
(*.f64 #s(literal 3 binary64) x)
accuracy0.08203125
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
accuracy0.0859375
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
accuracy0.0
(*.f64 x y)
accuracy0.0
(*.f64 #s(literal 3 binary64) x)
accuracy0.08984375
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
Samples
44.0ms92×5exit
30.0ms164×0valid
Compiler

Compiled 117 to 21 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 22.0ms (54.7% of total)
ival-div: 13.0ms (32.3% of total)
adjust: 3.0ms (7.5% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory
28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Counts
14 → 9
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
(*.f64 x y)
(*.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) y)
(*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
Outputs
(* 3 (* (pow x 2) y))
(* x y)
(* 3 x)
(* 3 (* x y))
(* -3 (* x y))
(* -1 (* x y))
(* -1 x)
(* 3 (pow x 2))
(/ -1 x)
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
((* (* x y) (* 3 x)) (* x y) (* 3 x) (* (* (* 3 x) y) x) (* (* 3 x) y) (* (* (* (neg x) y) 3) (neg x)) (* (* (neg x) y) 3) (* (neg x) y) (neg x) (/ -3 (/ -1 x)) (* (* (/ -3 (/ -1 x)) x) y) (* (/ -3 (/ -1 x)) x) (/ -1 x) (/ (* (* (neg x) y) 3) (/ -1 x)))
2.0ms
x
@inf
((* (* x y) (* 3 x)) (* x y) (* 3 x) (* (* (* 3 x) y) x) (* (* 3 x) y) (* (* (* (neg x) y) 3) (neg x)) (* (* (neg x) y) 3) (* (neg x) y) (neg x) (/ -3 (/ -1 x)) (* (* (/ -3 (/ -1 x)) x) y) (* (/ -3 (/ -1 x)) x) (/ -1 x) (/ (* (* (neg x) y) 3) (/ -1 x)))
2.0ms
x
@-inf
((* (* x y) (* 3 x)) (* x y) (* 3 x) (* (* (* 3 x) y) x) (* (* 3 x) y) (* (* (* (neg x) y) 3) (neg x)) (* (* (neg x) y) 3) (* (neg x) y) (neg x) (/ -3 (/ -1 x)) (* (* (/ -3 (/ -1 x)) x) y) (* (/ -3 (/ -1 x)) x) (/ -1 x) (/ (* (* (neg x) y) 3) (/ -1 x)))
1.0ms
y
@0
((* (* x y) (* 3 x)) (* x y) (* 3 x) (* (* (* 3 x) y) x) (* (* 3 x) y) (* (* (* (neg x) y) 3) (neg x)) (* (* (neg x) y) 3) (* (neg x) y) (neg x) (/ -3 (/ -1 x)) (* (* (/ -3 (/ -1 x)) x) y) (* (/ -3 (/ -1 x)) x) (/ -1 x) (/ (* (* (neg x) y) 3) (/ -1 x)))
1.0ms
y
@inf
((* (* x y) (* 3 x)) (* x y) (* 3 x) (* (* (* 3 x) y) x) (* (* 3 x) y) (* (* (* (neg x) y) 3) (neg x)) (* (* (neg x) y) 3) (* (neg x) y) (neg x) (/ -3 (/ -1 x)) (* (* (/ -3 (/ -1 x)) x) y) (* (/ -3 (/ -1 x)) x) (/ -1 x) (/ (* (* (neg x) y) 3) (/ -1 x)))

simplify19.0ms (0.6%)

Memory
-9.6MiB live, 36.8MiB allocated; 4ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01737
13637
27137
312837
432637
567937
682037
784837
884837
084837
Stop Event
iter limit
saturated
Counts
9 → 9
Calls
Call 1
Inputs
(* 3 (* (pow x 2) y))
(* x y)
(* 3 x)
(* 3 (* x y))
(* -3 (* x y))
(* -1 (* x y))
(* -1 x)
(* 3 (pow x 2))
(/ -1 x)
Outputs
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* x y)
(*.f64 y x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(* -3 (* x y))
(*.f64 (*.f64 #s(literal -3 binary64) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 x)
(neg.f64 x)
(* 3 (pow x 2))
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)

rewrite192.0ms (6%)

Memory
-25.3MiB live, 207.6MiB allocated; 119ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01980
03367
17367
220367
349567
4127266
5290866
6711066
0807166
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 068
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
(*.f64 x y)
(*.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) y)
(*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) (+.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (log.f64 x)))))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (*.f64 y x))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)) (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal -3 binary64))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) y))
(*.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) y))
(*.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) y) (*.f64 x x))
(*.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal -3 binary64) x) x))
(*.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 y x))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x x))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) x)
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 y x) (*.f64 #s(literal -3 binary64) x))
(*.f64 y (*.f64 (*.f64 #s(literal -3 binary64) x) x))
(*.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y x)))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -5/4 binary64))) (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -5/4 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (/.f64 y (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 5/4 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 5/4 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 y (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal -7/4 binary64))) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal -7/4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 x #s(literal -3/4 binary64))) (*.f64 #s(literal -3 binary64) y)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 x #s(literal -3/4 binary64))) (*.f64 #s(literal 3 binary64) y)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -7/4 binary64))) (neg.f64 y)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -7/4 binary64))) y) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (*.f64 y x)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (*.f64 y x)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 y (pow.f64 x #s(literal -3/4 binary64)))) x) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (/.f64 y (pow.f64 x #s(literal -3/4 binary64)))) x) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal -3/4 binary64))) (*.f64 #s(literal -3 binary64) x)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal -3/4 binary64))) (*.f64 #s(literal -3 binary64) x)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 y x))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)) (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)) (/.f64 y (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 y (pow.f64 x #s(literal -1/4 binary64))))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (pow.f64 x #s(literal -1/4 binary64))))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (*.f64 y x))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 y (pow.f64 x #s(literal -7/4 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 y (pow.f64 x #s(literal -7/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
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(fma.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.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 (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 (*.f64 #s(literal -3 binary64) y) (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.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) (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) y) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) (cosh.f64 (log.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) (sinh.f64 (log.f64 x))))
(+.f64 (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal -3 binary64) y)) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (*.f64 #s(literal -3 binary64) y)))
(+.f64 (*.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.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))))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) y) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (cosh.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) y) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) (cosh.f64 (log.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) (sinh.f64 (log.f64 x))))

eval163.0ms (5.1%)

Memory
70.3MiB live, 271.9MiB allocated; 103ms collecting garbage
Compiler

Compiled 12 057 to 1 995 computations (83.5% saved)

prune64.0ms (2%)

Memory
-22.5MiB live, 120.4MiB allocated; 53ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New7952797
Fresh022
Picked235
Done022
Total7979806
Accuracy
100.0%
Counts
806 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) y))
88.7%
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) y)
99.8%
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
99.7%
(*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) x)
99.7%
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x)
99.7%
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
98.7%
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
88.7%
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
99.7%
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 75 to 63 computations (16% saved)

simplify45.0ms (1.4%)

Memory
34.9MiB live, 78.9MiB allocated; 6ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
(pow.f64 x #s(literal 3/2 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) y))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) x)
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x)
cost-diff0
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
cost-diff0
(pow.f64 x #s(literal 3/4 binary64))
cost-diff0
(*.f64 y (pow.f64 x #s(literal 3/4 binary64)))
cost-diff4
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021105
037109
165109
2143101
3281101
4461101
5856101
61356101
71683101
81799101
91799101
101799101
01799101
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
(*.f64 y (pow.f64 x #s(literal 3/4 binary64)))
y
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
(*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
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 3/2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
Outputs
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) y))
(*.f64 y (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) y)
y
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.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)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/4 binary64)))
#s(literal 3 binary64)
(sqrt.f64 x)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
(*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) y)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 y x)
(*.f64 x y)
y
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 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) y))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y

localize85.0ms (2.6%)

Memory
-19.1MiB live, 175.9MiB allocated; 32ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.1875
(*.f64 (sqrt.f64 x) y)
accuracy0.234375
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))
accuracy2.9423157929452852
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) y))
accuracy0.0
(*.f64 y x)
accuracy0.15234375
(*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) x)
accuracy0.2265625
(*.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.15234375
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x)
accuracy0.171875
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
accuracy0.2265625
(*.f64 y (pow.f64 x #s(literal 3/4 binary64)))
accuracy0.26953125
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64))
accuracy0.30697250976844204
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy0.7435374362233981
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
Samples
72.0ms256×0valid
Compiler

Compiled 107 to 23 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 23.0ms (41.2% of total)
ival-sqrt: 21.0ms (37.6% of total)
ival-pow: 11.0ms (19.7% 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)

series306.0ms (9.5%)

Memory
-23.5MiB live, 338.9MiB allocated; 91ms collecting garbage
Counts
16 → 21
Calls
Call 1
Inputs
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
(*.f64 y (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 x #s(literal 3/4 binary64))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(*.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 3/2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(*.f64 (sqrt.f64 x) y)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64))
(sqrt.f64 x)
Outputs
(* 3 (* (pow x 2) y))
(* (pow (* 1 (pow x 3)) 1/4) y)
(pow (* 1 (pow x 3)) 1/4)
(* 3 (pow (* 1 (pow x 5)) 1/4))
(* 3 (* x y))
(* x y)
(* 3 (sqrt (pow x 3)))
(sqrt (pow x 3))
(* (sqrt x) y)
(* 3 (pow (* 1 (pow x 3)) 1/4))
(sqrt x)
(* 3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* y (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(* 3 (* (exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x)))))) (sqrt -1)))
(* 3 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 3 (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 y)
Calls

6 calls:

TimeVariablePointExpression
125.0ms
x
@0
((* (* y (pow x 3/4)) (* (* (pow x 3/4) 3) (sqrt x))) (* y (pow x 3/4)) (pow x 3/4) (* (* (pow x 3/4) 3) (sqrt x)) (* (* (* 3 y) x) x) (* (* 3 y) x) (* 3 y) (* (* (* y x) 3) x) (* (* y x) 3) (* y x) (* (* (pow x 3/2) 3) (* (sqrt x) y)) (* (pow x 3/2) 3) (pow x 3/2) (* (sqrt x) y) (* (pow x 3/4) 3) (sqrt x))
53.0ms
x
@inf
((* (* y (pow x 3/4)) (* (* (pow x 3/4) 3) (sqrt x))) (* y (pow x 3/4)) (pow x 3/4) (* (* (pow x 3/4) 3) (sqrt x)) (* (* (* 3 y) x) x) (* (* 3 y) x) (* 3 y) (* (* (* y x) 3) x) (* (* y x) 3) (* y x) (* (* (pow x 3/2) 3) (* (sqrt x) y)) (* (pow x 3/2) 3) (pow x 3/2) (* (sqrt x) y) (* (pow x 3/4) 3) (sqrt x))
46.0ms
x
@-inf
((* (* y (pow x 3/4)) (* (* (pow x 3/4) 3) (sqrt x))) (* y (pow x 3/4)) (pow x 3/4) (* (* (pow x 3/4) 3) (sqrt x)) (* (* (* 3 y) x) x) (* (* 3 y) x) (* 3 y) (* (* (* y x) 3) x) (* (* y x) 3) (* y x) (* (* (pow x 3/2) 3) (* (sqrt x) y)) (* (pow x 3/2) 3) (pow x 3/2) (* (sqrt x) y) (* (pow x 3/4) 3) (sqrt x))
44.0ms
y
@0
((* (* y (pow x 3/4)) (* (* (pow x 3/4) 3) (sqrt x))) (* y (pow x 3/4)) (pow x 3/4) (* (* (pow x 3/4) 3) (sqrt x)) (* (* (* 3 y) x) x) (* (* 3 y) x) (* 3 y) (* (* (* y x) 3) x) (* (* y x) 3) (* y x) (* (* (pow x 3/2) 3) (* (sqrt x) y)) (* (pow x 3/2) 3) (pow x 3/2) (* (sqrt x) y) (* (pow x 3/4) 3) (sqrt x))
28.0ms
y
@inf
((* (* y (pow x 3/4)) (* (* (pow x 3/4) 3) (sqrt x))) (* y (pow x 3/4)) (pow x 3/4) (* (* (pow x 3/4) 3) (sqrt x)) (* (* (* 3 y) x) x) (* (* 3 y) x) (* 3 y) (* (* (* y x) 3) x) (* (* y x) 3) (* y x) (* (* (pow x 3/2) 3) (* (sqrt x) y)) (* (pow x 3/2) 3) (pow x 3/2) (* (sqrt x) y) (* (pow x 3/4) 3) (sqrt x))

simplify186.0ms (5.8%)

Memory
-12.1MiB live, 171.7MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
055155
1135142
2356129
3967129
42881125
09035125
Stop Event
iter limit
node limit
Counts
21 → 21
Calls
Call 1
Inputs
(* 3 (* (pow x 2) y))
(* (pow (* 1 (pow x 3)) 1/4) y)
(pow (* 1 (pow x 3)) 1/4)
(* 3 (pow (* 1 (pow x 5)) 1/4))
(* 3 (* x y))
(* x y)
(* 3 (sqrt (pow x 3)))
(sqrt (pow x 3))
(* (sqrt x) y)
(* 3 (pow (* 1 (pow x 3)) 1/4))
(sqrt x)
(* 3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* y (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(* 3 (* (exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x)))))) (sqrt -1)))
(* 3 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 3 (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 y)
Outputs
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 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 (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* 3 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* x y)
(*.f64 x y)
(* 3 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* 3 (pow (* 1 (pow x 3)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
(* 3 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) y) x)
(* 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)
(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))
(* 3 (* (exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x)))))) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5 binary64))) #s(literal 1/4 binary64)))
(* 3 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -3 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* 3 (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)) #s(literal 3 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)

rewrite105.0ms (3.3%)

Memory
28.3MiB live, 71.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02189
037107
17991
221976
096876
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
16 → 410
Calls
Call 1
Inputs
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
(*.f64 y (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 x #s(literal 3/4 binary64))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(*.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 3/2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(*.f64 (sqrt.f64 x) y)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64))
(sqrt.f64 x)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 #s(literal 3 binary64) y)) (neg.f64 (pow.f64 x #s(literal 3/8 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/8 binary64))))
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(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/8 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64))
(fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) #s(literal 3 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (*.f64 #s(literal 3 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) #s(literal 3 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)))) (*.f64 #s(literal 3 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))))

eval74.0ms (2.3%)

Memory
-24.1MiB live, 70.2MiB allocated; 23ms collecting garbage
Compiler

Compiled 4 658 to 799 computations (82.8% saved)

prune14.0ms (0.4%)

Memory
34.9MiB live, 34.9MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New2681269
Fresh000
Picked134
Done055
Total2699278
Accuracy
100.0%
Counts
278 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/4 binary64))) y))
95.3%
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) y))
88.7%
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) y)
99.8%
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
99.7%
(*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) x)
99.7%
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x)
99.7%
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
88.7%
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
99.7%
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 238 to 130 computations (45.4% saved)

regimes30.0ms (0.9%)

Memory
-5.4MiB live, 39.5MiB allocated; 5ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) 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) #s(literal 3 binary64)) y)
(*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) x)
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) y)
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x) y)
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64))) y)
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 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 5/4 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/4 binary64))) y))
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
Outputs
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))
Calls

4 calls:

16.0ms
y
5.0ms
x
4.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
4.0ms
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
Results
AccuracySegmentsBranch
99.8%1(*.f64 (*.f64 x #s(literal 3 binary64)) x)
99.8%1(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) y)
99.8%1x
99.8%1y
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes33.0ms (1%)

Memory
-25.7MiB live, 19.1MiB allocated; 5ms collecting garbage
Accuracy

Total -7.2b remaining (-4401.2%)

Threshold costs -7.2b (-4401.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) 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) #s(literal 3 binary64)) y)
(*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) x)
Outputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) x))
Calls

4 calls:

25.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
2.0ms
y
2.0ms
x
2.0ms
(*.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)

simplify10.0ms (0.3%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

derivations157.0ms (4.9%)

Memory
13.6MiB live, 162.3MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02397
04086
110185
232078
0125278
0615
0915
11515
22915
35115
410415
527015
659915
7244515
0902815
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 14 to 9 computations (35.7% saved)

preprocess82.0ms (2.6%)

Memory
-8.3MiB live, 88.4MiB allocated; 20ms collecting garbage
Remove

(negabs y)

(abs x)

Compiler

Compiled 84 to 66 computations (21.4% saved)

end0.0ms (0%)

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

Profiling

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