Jmat.Real.erfi, branch x greater than or equal to 5

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 107 to 34 computations (68.2% saved)

sample2.7s (29.9%)

Memory
25.6MiB live, 2 507.5MiB allocated
Samples
2.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 1.1s (57.3% of total)
ival-div: 342.0ms (18.4% of total)
ival-add: 139.0ms (7.5% of total)
ival-sqrt: 88.0ms (4.7% of total)
ival-exp: 72.0ms (3.9% of total)
ival-pi: 59.0ms (3.2% of total)
ival-fabs: 38.0ms (2% of total)
ival->=: 28.0ms (1.5% of total)
exact: 24.0ms (1.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain649.0ms (7.2%)

Memory
-23.9MiB live, 1 113.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
00-0-(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
00-0-#s(literal 8 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
00-0-(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
00-0-(/.f64 #s(literal 1 binary64) (fabs.f64 x))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
00-0-(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
00-0-#s(literal 15 binary64)
00-0-(PI.f64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
00-0-(*.f64 (fabs.f64 x) (fabs.f64 x))
00-0-(fabs.f64 x)
00-0-#s(literal 4 binary64)
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
00-0-(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
00-0-(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
00-0-(sqrt.f64 (PI.f64))
00-0-(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
00-0-(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
00-0-(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
00-0-x
00-0-(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
111.0ms512×0valid
Compiler

Compiled 1 173 to 97 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 36.0ms (45.4% of total)
ival-div: 17.0ms (21.4% of total)
ival-add: 12.0ms (15.1% of total)
ival-exp: 4.0ms (5% of total)
ival-sqrt: 4.0ms (5% of total)
ival-fabs: 3.0ms (3.8% of total)
ival-pi: 2.0ms (2.5% of total)
ival-true: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)

preprocess258.0ms (2.9%)

Memory
4.6MiB live, 317.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036195
1102109
241881
3211367
4795867
03197
05895
111454
233940
3123433
4356333
5518532
6597332
7631532
8631632
9631632
10781232
0815831
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
Symmetry

(abs x)

Compiler

Compiled 103 to 31 computations (69.9% saved)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Compiler

Compiled 103 to 31 computations (69.9% saved)

simplify188.0ms (2.1%)

Memory
1.6MiB live, 194.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff1280
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff1280
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff6208
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
cost-diff6272
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031503
058495
1114281
2339214
31234181
43563178
55185176
65973175
76315175
86316175
96316175
107812175
08158173
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(fabs.f64 x)
x
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(fma.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (fabs.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) #s(literal 3/4 binary64))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3/4 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 15/8 binary64))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15/8 binary64)
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))

localize109.0ms (1.2%)

Memory
-18.2MiB live, 154.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1015625
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy0.13671875
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy0.3170700195368841
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
50.0ms256×0valid
Compiler

Compiled 535 to 33 computations (93.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 19.0ms (51.5% of total)
ival-div: 7.0ms (19% of total)
ival-add: 3.0ms (8.1% of total)
ival-exp: 2.0ms (5.4% of total)
ival-sqrt: 2.0ms (5.4% of total)
ival-pi: 1.0ms (2.7% of total)
ival-fabs: 1.0ms (2.7% of total)
exact: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
29.9MiB live, 29.9MiB allocated
Counts
7 → 72
Calls
Call 1
Inputs
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
Outputs
#s(alt (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
6.0ms
x
@0
((+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
5.0ms
x
@-inf
((+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))

simplify17.0ms (0.2%)

Memory
-20.7MiB live, 15.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
025636
140624
258624
381624
4106624
5142624
6189600
7261600
8268600
9269600
0269600
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
Outputs
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))

rewrite179.0ms (2%)

Memory
44.3MiB live, 192.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020142
03779
112253
290345
0854544
Stop Event
iter limit
node limit
iter limit
Counts
7 → 497
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(sqrt.f64 (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
Outputs
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eval192.0ms (2.1%)

Memory
-0.3MiB live, 314.1MiB allocated
Compiler

Compiled 78 208 to 3 817 computations (95.1% saved)

prune43.0ms (0.5%)

Memory
-25.4MiB live, 69.2MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New8301831
Fresh000
Picked101
Done000
Total8311832
Accuracy
100.0%
Counts
832 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Compiler

Compiled 91 to 33 computations (63.7% saved)

simplify170.0ms (1.9%)

Memory
4.9MiB live, 112.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff1024
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff1280
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff1280
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff6592
(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041555
070547
1128341
2333276
31010243
42309243
53322242
63601241
73811241
84038241
94338241
105094241
115669241
125671241
135671241
145671241
157325241
08164238
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
#s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(fabs.f64 x)
x
(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(fma.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))))
(+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) #s(literal 3/4 binary64) #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))))
#s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) #s(literal 3/4 binary64))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3/4 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 15/8 binary64))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15/8 binary64)
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))

localize105.0ms (1.2%)

Memory
4.6MiB live, 162.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy0.3170700195368841
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy0.6911707707916793
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
80.0ms256×0valid
Compiler

Compiled 539 to 38 computations (92.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 24.0ms (39.8% of total)
exact: 13.0ms (21.6% of total)
ival-div: 12.0ms (19.9% of total)
ival-add: 5.0ms (8.3% of total)
ival-exp: 2.0ms (3.3% of total)
ival-sqrt: 2.0ms (3.3% of total)
ival-pi: 1.0ms (1.7% of total)
ival-fabs: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
-0.9MiB live, 42.3MiB allocated
Counts
8 → 84
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
Outputs
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
((+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ 1/2 (* x x)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
5.0ms
x
@0
((+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ 1/2 (* x x)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
5.0ms
x
@inf
((+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ 1/2 (* x x)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))

simplify17.0ms (0.2%)

Memory
-11.9MiB live, 24.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
033720
155708
290708
3145708
4180708
5217708
6264696
7336696
8343696
9344696
0344696
Stop Event
iter limit
saturated
Counts
84 → 84
Calls
Call 1
Inputs
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
Outputs
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (fabs x) 3))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))

rewrite143.0ms (1.6%)

Memory
39.0MiB live, 186.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036198
060115
119471
2148361
0807557
Stop Event
iter limit
node limit
iter limit
Counts
8 → 417
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
Outputs
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eval365.0ms (4%)

Memory
2.2MiB live, 320.1MiB allocated
Compiler

Compiled 60 627 to 3 562 computations (94.1% saved)

prune40.0ms (0.4%)

Memory
-18.7MiB live, 57.7MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New7431744
Fresh000
Picked101
Done000
Total7441745
Accuracy
100.0%
Counts
745 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Compiler

Compiled 85 to 39 computations (54.1% saved)

simplify101.0ms (1.1%)

Memory
3.5MiB live, 120.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff1024
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff1280
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff1280
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff6592
(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047579
081541
1154377
2420312
31435270
42915268
55582267
08217264
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
#s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 #s(literal -1 binary64) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(fabs.f64 x)
x
(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x))))
(+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(fma.f64 #s(literal -3/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x))))
#s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
#s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 #s(literal -3/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 5 binary64)))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3/4 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 15/8 binary64))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15/8 binary64)
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))

localize354.0ms (3.9%)

Memory
-72.9MiB live, 145.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.3170700195368841
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy0.6911707707916793
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy0.7146082565780525
(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
323.0ms256×0valid
Compiler

Compiled 563 to 44 computations (92.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 307.0ms
ival-sqrt: 259.0ms (84.4% of total)
ival-mult: 20.0ms (6.5% of total)
ival-div: 18.0ms (5.9% of total)
ival-add: 5.0ms (1.6% of total)
ival-exp: 2.0ms (0.7% of total)
ival-pi: 1.0ms (0.3% of total)
ival-fabs: 1.0ms (0.3% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-10.0MiB live, 27.7MiB allocated
Counts
8 → 84
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
Outputs
#s(alt (/ 3/4 (* (pow x 2) (pow (fabs x) 3))) (taylor 0 x) (#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
((+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ -1 (* x x)) (/ 1/2 (* x x)) (* (/ 1 (fabs x)) (/ 1 (fabs x))))
4.0ms
x
@inf
((+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ -1 (* x x)) (/ 1/2 (* x x)) (* (/ 1 (fabs x)) (/ 1 (fabs x))))
3.0ms
x
@-inf
((+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ -1 (* x x)) (/ 1/2 (* x x)) (* (/ 1 (fabs x)) (/ 1 (fabs x))))

simplify193.0ms (2.1%)

Memory
7.6MiB live, 123.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041775
180763
2202713
3507672
41168663
52848654
63343654
74086642
85740642
97276642
08158631
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ 3/4 (* (pow x 2) (pow (fabs x) 3)))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
Outputs
(/ 3/4 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(fma.f64 (fma.f64 x x #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(fma.f64 (fma.f64 x x (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(fma.f64 (fma.f64 x x (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(fma.f64 (fma.f64 x x (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(fma.f64 (fma.f64 x x #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(fma.f64 (fma.f64 x x (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(fma.f64 (fma.f64 x x (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(fma.f64 (fma.f64 x x (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))

rewrite179.0ms (2%)

Memory
7.0MiB live, 194.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042177
071122
123571
2190261
0819057
Stop Event
iter limit
node limit
iter limit
Counts
8 → 447
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
Outputs
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eval107.0ms (1.2%)

Memory
12.1MiB live, 166.8MiB allocated
Compiler

Compiled 41 692 to 3 007 computations (92.8% saved)

prune12.0ms (0.1%)

Memory
0.0MiB live, 38.7MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New5283531
Fresh000
Picked101
Done000
Total5293532
Accuracy
100.0%
Counts
532 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
56.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x))))
22.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
Compiler

Compiled 135 to 79 computations (41.5% saved)

simplify120.0ms (1.3%)

Memory
-8.8MiB live, 150.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff1024
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff1024
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff1280
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff6592
(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x))))
cost-diff256
(*.f64 (fabs.f64 x) (fabs.f64 x))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
cost-diff256
(*.f64 (fabs.f64 x) (fabs.f64 x))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821094
01381050
1261794
2717682
32667614
45251613
08610606
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
#s(literal 3/4 binary64)
(pow.f64 (fabs.f64 x) #s(literal 5 binary64))
#s(literal 5 binary64)
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
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Outputs
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(*.f64 x x)
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x
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#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x)))
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(/.f64 #s(literal -1 binary64) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 15/8 binary64))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15/8 binary64)
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)

localize255.0ms (2.8%)

Memory
13.8MiB live, 364.7MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.49487805713974525
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy0.6911707707916793
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy0.7146082565780525
(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy0.1065094552770759
(/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
accuracy0.7455645611784472
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy25.818407879319146
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x))
accuracy0
(PI.f64)
accuracy0.415678883609231
(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy60.25323270544904
#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
Samples
166.0ms256×0valid
Compiler

Compiled 1 037 to 70 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 70.0ms (50.4% of total)
ival-add: 26.0ms (18.7% of total)
ival-div: 25.0ms (18% of total)
ival-exp: 6.0ms (4.3% of total)
ival-pow: 5.0ms (3.6% of total)
ival-sqrt: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
ival-fabs: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory
-1.3MiB live, 113.5MiB allocated
Counts
19 → 192
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (fabs.f64 x) (fabs.f64 x)) (patch (*.f64 (fabs.f64 x) (fabs.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (patch #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (patch (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (patch (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) #<representation binary64>) () ())
Outputs
#s(alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (fabs x) 2) (taylor 0 x) (#s(alt (*.f64 (fabs.f64 x) (fabs.f64 x)) (patch (*.f64 (fabs.f64 x) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (fabs x) 2) (taylor 0 x) (#s(alt (*.f64 (fabs.f64 x) (fabs.f64 x)) (patch (*.f64 (fabs.f64 x) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (fabs x) 2) (taylor 0 x) (#s(alt (*.f64 (fabs.f64 x) (fabs.f64 x)) (patch (*.f64 (fabs.f64 x) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (fabs x) 2) (taylor 0 x) (#s(alt (*.f64 (fabs.f64 x) (fabs.f64 x)) (patch (*.f64 (fabs.f64 x) (fabs.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (/ 3/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (pow (fabs x) 7)) (taylor -inf x) (#s(alt (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (patch (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (/ 1 (sqrt (PI))) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (sqrt (PI)) (/ 3/4 (pow (fabs x) 5)) (PI) (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/ 3/4 (* x x)) (/ 15/8 (pow (fabs x) 7)) (/ -1 (* x x)) (/ 1/2 (* x x)) (/ -1 (* (* (neg x) x) (* x x))))
9.0ms
x
@0
((* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (/ 1 (sqrt (PI))) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (sqrt (PI)) (/ 3/4 (pow (fabs x) 5)) (PI) (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/ 3/4 (* x x)) (/ 15/8 (pow (fabs x) 7)) (/ -1 (* x x)) (/ 1/2 (* x x)) (/ -1 (* (* (neg x) x) (* x x))))
9.0ms
x
@-inf
((* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (/ 1 (sqrt (PI))) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (sqrt (PI)) (/ 3/4 (pow (fabs x) 5)) (PI) (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/ 3/4 (* x x)) (/ 15/8 (pow (fabs x) 7)) (/ -1 (* x x)) (/ 1/2 (* x x)) (/ -1 (* (* (neg x) x) (* x x))))

simplify232.0ms (2.6%)

Memory
1.4MiB live, 256.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01003113
12422975
28012770
331272462
454802384
561272264
665232264
778632264
085542224
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI)))))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI)))))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(/ 15/8 (* (pow x 4) (pow (fabs x) 3)))
(/ (+ (* 3/4 (/ (pow x 2) (pow (fabs x) 3))) (* 15/8 (/ 1 (pow (fabs x) 3)))) (pow x 4))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (pow (fabs x) 3))))) (* 15/8 (/ 1 (pow (fabs x) 3)))) (pow x 4))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (pow (fabs x) 3))))) (* 15/8 (/ 1 (pow (fabs x) 3)))) (pow x 4))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 3/4 (* (pow x 2) (pow (fabs x) 3)))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ (+ (* (pow x 2) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 1/2 (/ 1 (fabs x))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(/ (+ (* (pow x 2) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 1/2 (/ 1 (fabs x))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(/ (+ (* (pow x 2) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 1/2 (/ 1 (fabs x))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))
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Outputs
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
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(pow (fabs x) 2)
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(pow (fabs x) 2)
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rewrite205.0ms (2.3%)

Memory
-3.6MiB live, 228.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081534
0136410
1477282
23784244
09218231
Stop Event
iter limit
node limit
iter limit
Counts
19 → 757
Calls
Call 1
Inputs
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(*.f64 (fabs.f64 x) (fabs.f64 x))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
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Outputs
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eval481.0ms (5.3%)

Memory
44.5MiB live, 311.5MiB allocated
Compiler

Compiled 69 854 to 4 621 computations (93.4% saved)

prune187.0ms (2.1%)

Memory
-45.4MiB live, 93.0MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1 29941 303
Fresh000
Picked303
Done000
Total1 30241 306
Accuracy
100.0%
Counts
1 306 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.8%
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23.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))
56.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))) (*.f64 x x)))))
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Compiler

Compiled 712 to 192 computations (73% saved)

regimes12.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Calls

3 calls:

4.0ms
(fabs.f64 x)
4.0ms
x
3.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%1(fabs.f64 x)
Compiler

Compiled 106 to 34 computations (67.9% saved)

regimes57.0ms (0.6%)

Memory
-22.8MiB live, 14.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))) (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))) (*.f64 x x)))))
Calls

3 calls:

51.0ms
x
3.0ms
(fabs.f64 x)
2.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
56.6%1x
56.6%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
56.6%1(fabs.f64 x)
Compiler

Compiled 106 to 34 computations (67.9% saved)

regimes6.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1/2 binary64)))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1/2 binary64)))))
Calls

3 calls:

2.0ms
x
2.0ms
(fabs.f64 x)
2.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
39.8%1x
39.8%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
39.8%1(fabs.f64 x)
Compiler

Compiled 106 to 34 computations (67.9% saved)

regimes5.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Accuracy

Total -1.0b remaining (-2.1%)

Threshold costs -1b (-2.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))
Calls

3 calls:

2.0ms
(fabs.f64 x)
2.0ms
x
1.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
23.8%1x
23.8%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
23.8%1(fabs.f64 x)
Compiler

Compiled 106 to 34 computations (67.9% saved)

simplify91.0ms (1%)

Memory
-25.1MiB live, 57.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0108427
1136427
2142427
3149427
4160427
5180427
6204427
7228426
8247426
9259426
10273426
11295426
12318426
13332426
14342426
15349426
16354426
17356426
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))) (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (-.f64 (-.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))) (*.f64 x x)))))
(*.f64 #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (*.f64 x x)))) (*.f64 (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1/2 binary64)))))
(*.f64 #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (fma.f64 x x #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))
(*.f64 #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))) (*.f64 (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))

soundness1.0s (11.5%)

Memory
30.0MiB live, 712.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042177
071122
123571
2190261
0819057
01003113
12422975
28012770
331272462
454802384
561272264
665232264
778632264
085542224
041775
180763
2202713
3507672
41168663
52848654
63343654
74086642
85740642
97276642
08158631
081534
0136410
1477282
23784244
09218231
025636
140624
258624
381624
4106624
5142624
6189600
7261600
8268600
9269600
0269600
036198
060115
119471
2148361
0807557
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
saturated
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 873 to 348 computations (60.1% saved)

preprocess96.0ms (1.1%)

Memory
-31.1MiB live, 125.0MiB allocated
Remove

(abs x)

Compiler

Compiled 1 232 to 544 computations (55.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...