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

Time bar (total: 11.0s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample2.2s (19.8%)

Memory
40.5MiB live, 2 720.9MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult: 652.0ms (46.4% of total)
ival-div: 393.0ms (28% of total)
ival-add: 120.0ms (8.5% of total)
ival-sqrt: 62.0ms (4.4% of total)
ival-exp: 54.0ms (3.8% of total)
ival-pi: 36.0ms (2.6% of total)
ival-fabs: 35.0ms (2.5% of total)
ival->=: 24.0ms (1.7% of total)
exact: 24.0ms (1.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess489.0ms (4.4%)

Memory
-20.6MiB live, 498.0MiB allocated
Algorithm
egg-herbie
Rules
17 878×lower-fma.f64
17 878×lower-fma.f32
3 728×lower-*.f32
3 704×lower-*.f64
2 218×lower-/.f32
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 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Symmetry

(abs x)

explain522.0ms (4.7%)

Memory
15.5MiB live, 874.3MiB 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
101.0ms512×0valid
Compiler

Compiled 1 278 to 128 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 35.0ms (49.6% of total)
ival-div: 15.0ms (21.3% of total)
ival-add: 7.0ms (9.9% of total)
ival-sqrt: 4.0ms (5.7% of total)
ival-exp: 3.0ms (4.3% of total)
ival-fabs: 3.0ms (4.3% of total)
ival-pi: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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 104 to 31 computations (70.2% saved)

simplify403.0ms (3.7%)

Memory
0.4MiB live, 479.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff960
(*.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-diff960
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff1088
(+.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-diff1344
(+.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)))))
Rules
17 878×lower-fma.f64
17 878×lower-fma.f32
3 728×lower-*.f32
3 704×lower-*.f64
2 218×lower-/.f32
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 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 (exp.f64 (*.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)))
(exp.f64 (*.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)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.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) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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) (*.f64 (fabs.f64 x) (*.f64 x x)))
(/.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)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.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 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x))))
(/.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)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x 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 15/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.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)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))

localize156.0ms (1.4%)

Memory
-27.5MiB live, 89.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.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)))
accuracy99.8%
(*.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)))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy98.4%
(sqrt.f64 (PI.f64))
Samples
45.0ms256×0valid
Compiler

Compiled 535 to 33 computations (93.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 15.0ms (47.1% of total)
ival-div: 7.0ms (22% of total)
ival-add: 3.0ms (9.4% of total)
ival-exp: 2.0ms (6.3% of total)
ival-sqrt: 2.0ms (6.3% of total)
ival-pi: 1.0ms (3.1% of total)
ival-fabs: 1.0ms (3.1% of total)
exact: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
6 → 60
Calls
Call 1
Inputs
#<alt (+.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)))))>
#<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)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<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)))>
#<alt (sqrt.f64 (PI.f64))>
#<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)))>
Outputs
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
Calls

15 calls:

TimeVariablePointExpression
6.0ms
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)))))
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)))))
4.0ms
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)))))
1.0ms
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)))))
1.0ms
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)))))

rewrite590.0ms (5.4%)

Memory
-13.9MiB live, 418.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 278×lower-fma.f64
8 278×lower-fma.f32
4 196×lower-*.f32
4 178×lower-*.f64
3 642×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026177
048100
115668
2123957
0848054
Stop Event
iter limit
node limit
iter limit
Counts
6 → 503
Calls
Call 1
Inputs
(+.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 #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)))
(sqrt.f64 (PI.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)))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(+.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fabs.f64 x)))) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fabs.f64 x))))))
(+.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(+.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fabs.f64 x)))) (/.f64 (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fabs.f64 x)))))
(-.f64 (/.f64 (*.f64 (/.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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (/.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (/.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 -1 binary64) (fabs.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fabs.f64 x))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fabs.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (fabs.f64 x))) (*.f64 (neg.f64 (log.f64 (fabs.f64 x))) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fabs.f64 x))) #s(literal 2 binary64) (*.f64 (neg.f64 (log.f64 (fabs.f64 x))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fabs.f64 x))) #s(literal 3 binary64) (neg.f64 (log.f64 (fabs.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
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(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 (*.f64 (*.f64 x x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (fabs.f64 x))
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (neg.f64 (fabs.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 (*.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x)))) (fabs.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))) (fabs.f64 x))
(pow.f64 (fabs.f64 x) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.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 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) (fabs.f64 x)) (/.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fabs.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal -3 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (fabs.f64 x))) (*.f64 (neg.f64 (log.f64 (fabs.f64 x))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fabs.f64 x))) #s(literal 2 binary64) (neg.f64 (log.f64 (fabs.f64 x)))))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 (*.f64 (*.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (*.f64 (*.f64 x x) x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (fabs.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) (fabs.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (fabs.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))))
(pow.f64 (fabs.f64 x) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))
(pow.f64 (fabs.f64 (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (*.f64 (*.f64 x x) x)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))

simplify23.0ms (0.2%)

Memory
26.5MiB live, 26.5MiB allocated
Algorithm
egg-herbie
Rules
292×lower-fma.f64
292×lower-fma.f32
144×lower-*.f64
144×lower-*.f32
104×lower-+.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
029732
153720
291720
3143720
4170720
5203720
6250696
7322696
8329696
9330696
0330696
Stop Event
iter limit
saturated
Counts
60 → 60
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))))))
(+ (* 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))))))
(+ (* 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))))))
(+ (* 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)))))
(+ (* 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)))))
(+ (* 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) 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) 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) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
(+ (* 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
(+ (* 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
(+ (* 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
(+ (* 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
(+ (* 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
(+ (* 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
(+ (* 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
(+ (* 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
(+ (* 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
(+ (* 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
(+ (* 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 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 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) 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) 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) 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) 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) 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) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))

eval249.0ms (2.3%)

Memory
-18.9MiB live, 174.6MiB allocated
Compiler

Compiled 94 372 to 3 829 computations (95.9% saved)

prune161.0ms (1.5%)

Memory
22.9MiB live, 142.3MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New8581859
Fresh000
Picked101
Done000
Total8591860
Accuracy
100.0%
Counts
860 → 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 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
Compiler

Compiled 53 to 24 computations (54.7% saved)

simplify809.0ms (7.3%)

Memory
-26.2MiB live, 605.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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-diff576
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
cost-diff704
(*.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 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
Rules
22 928×lower-fma.f64
22 928×lower-fma.f32
4 742×lower-*.f32
4 728×lower-*.f64
2 956×lower-+.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024241
043233
184197
2238175
3840155
42514145
52649143
62803143
73363143
84001143
94121143
107045143
117705143
127962143
137992143
147992143
08791143
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 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x 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 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x 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 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(literal 3/4 binary64)
(*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(literal 15/8 binary64)
(*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x 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)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 (exp.f64 (*.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)))
(exp.f64 (*.f64 x x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(fabs.f64 x)
x
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(literal 3/4 binary64)
(*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(literal 15/8 binary64)
(*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))))

localize64.0ms (0.6%)

Memory
-8.5MiB live, 109.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))
accuracy99.6%
(/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))
accuracy98.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy98.4%
(sqrt.f64 (PI.f64))
Samples
40.0ms256×0valid
Compiler

Compiled 243 to 26 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 10.0ms (34.7% of total)
ival-div: 8.0ms (27.8% of total)
ival-add: 3.0ms (10.4% of total)
ival-exp: 3.0ms (10.4% of total)
ival-fabs: 2.0ms (6.9% of total)
ival-sqrt: 2.0ms (6.9% of total)
ival-pi: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-20.8MiB live, 27.2MiB allocated
Counts
8 → 84
Calls
Call 1
Inputs
#<alt (*.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 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))))>
#<alt (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))>
#<alt (*.f64 (fabs.f64 x) (fabs.f64 x))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x))>
#<alt (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))>
#<alt (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))>
Outputs
#<alt (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 3/4 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))))))) (pow x 6))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))>
#<alt (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))>
#<alt (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))>
#<alt (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))>
#<alt (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))>
#<alt (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))>
#<alt (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ (+ (* 3/4 (/ (pow x 2) (fabs x))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))>
#<alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs x))) (* 3/4 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))>
#<alt (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (/ 1 (fabs x))) (/ (pow x 2) (fabs x)))) (* 3/4 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))>
#<alt (/ 1 (fabs x))>
#<alt (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (* (pow x 2) (fabs x)))))>
#<alt (+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 3/4 (* (pow x 4) (fabs x))) (/ 1 (fabs x))))>
#<alt (+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 1 (fabs x)) (+ (* 3/4 (/ 1 (* (pow x 4) (fabs x)))) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))>
#<alt (/ 1 (fabs x))>
#<alt (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (* (pow x 2) (fabs x)))))>
#<alt (+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 3/4 (* (pow x 4) (fabs x))) (/ 1 (fabs x))))>
#<alt (+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 1 (fabs x)) (+ (* 3/4 (/ 1 (* (pow x 4) (fabs x)))) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 3/4 (* (pow x 4) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
Calls

21 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))))
5.0ms
x
@inf
(/ 3/4 (* (fabs x) (* (* x x) (* x x))))
1.0ms
x
@0
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))))
1.0ms
x
@-inf
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))))
1.0ms
x
@0
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))

rewrite374.0ms (3.4%)

Memory
27.6MiB live, 497.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 744×lower-fma.f64
5 744×lower-fma.f32
4 456×lower-*.f32
4 454×lower-/.f32
4 444×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024143
043125
1186103
2200085
0855581
Stop Event
iter limit
node limit
iter limit
Counts
8 → 439
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 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))
Outputs
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (exp.f64 (*.f64 x x))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x))))) (/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (sqrt.f64 (PI.f64))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x))))) (/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (exp.f64 (*.f64 x x))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
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(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x))))) #s(literal 3/4 binary64))
(*.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (fabs.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (pow.f64 (/.f64 (*.f64 x x) #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 3/4 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) x))
(*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fabs.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 8/15 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 8/15 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 8/15 binary64)))))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 15/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) (*.f64 x (neg.f64 x)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 8/15 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))
(/.f64 #s(literal -15/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) (*.f64 x (neg.f64 x))))
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(/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))))
(/.f64 (neg.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 (fabs.f64 x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 15/8 binary64) x) (*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x))))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fabs.f64 x)))) (*.f64 x x))
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(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (fabs.f64 x))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fabs.f64 x))))) (*.f64 x (neg.f64 x)))
(pow.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 8/15 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 8/15 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 #s(literal -15/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 15/8 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x))))) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) #s(literal 15/8 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x))))))
(*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fabs.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 15/8 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 15/8 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 15/8 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x (fabs.f64 x))) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))

simplify542.0ms (4.9%)

Memory
-19.6MiB live, 784.1MiB allocated
Algorithm
egg-herbie
Rules
24 884×lower-fma.f64
24 884×lower-fma.f32
6 202×lower-*.f64
6 202×lower-*.f32
2 756×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931182
12491088
2763984
32199886
44389862
56044827
67083827
77200827
87884827
08135814
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/ (+ (* 3/4 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))))))) (pow x 6))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ (+ (* 3/4 (/ (pow x 2) (fabs x))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs x))) (* 3/4 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (/ 1 (fabs x))) (/ (pow x 2) (fabs x)))) (* 3/4 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ 1 (fabs x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (* (pow x 2) (fabs x)))))
(+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 3/4 (* (pow x 4) (fabs x))) (/ 1 (fabs x))))
(+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 1 (fabs x)) (+ (* 3/4 (/ 1 (* (pow x 4) (fabs x)))) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))
(/ 1 (fabs x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (* (pow x 2) (fabs x)))))
(+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 3/4 (* (pow x 4) (fabs x))) (/ 1 (fabs x))))
(+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 1 (fabs x)) (+ (* 3/4 (/ 1 (* (pow x 4) (fabs x)))) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))
(* (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)))
(* (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)))
(* (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)
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ 15/8 (* (pow x 6) (fabs x)))
Outputs
(* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ (+ (* 3/4 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))) (pow x 6))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (*.f64 x x) #s(literal 15/8 binary64)))) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))) (pow x 6))
(/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))))))) (pow x 6))
(/.f64 (fma.f64 (exp.f64 (*.f64 x x)) (*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 1/2 binary64))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
(*.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (fabs.f64 x)))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
(*.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (fabs.f64 x)))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ (+ (* 3/4 (/ (pow x 2) (fabs x))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/.f64 (fma.f64 #s(literal 3/4 binary64) (*.f64 x x) #s(literal 15/8 binary64)) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs x))) (* 3/4 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (/ 1 (fabs x))) (/ (pow x 2) (fabs x)))) (* 3/4 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/.f64 (fma.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ 1 (fabs x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (* (pow x 2) (fabs x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))))
(+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 3/4 (* (pow x 4) (fabs x))) (/ 1 (fabs x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 1 (fabs x)) (+ (* 3/4 (/ 1 (* (pow x 4) (fabs x)))) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/ 1 (fabs x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (* (pow x 2) (fabs x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))))
(+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 3/4 (* (pow x 4) (fabs x))) (/ 1 (fabs x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ (/ 1/2 (* (pow x 2) (fabs x))) (+ (/ 1 (fabs x)) (+ (* 3/4 (/ 1 (* (pow x 4) (fabs x)))) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(pow (fabs x) 2)
(*.f64 x x)
(pow (fabs x) 2)
(*.f64 x x)
(pow (fabs x) 2)
(*.f64 x x)
(pow (fabs x) 2)
(*.f64 x x)
(pow (fabs x) 2)
(*.f64 x x)
(pow (fabs x) 2)
(*.f64 x x)
(pow (fabs x) 2)
(*.f64 x x)
(pow (fabs x) 2)
(*.f64 x x)
(pow (fabs x) 2)
(*.f64 x x)
(pow (fabs x) 2)
(*.f64 x x)
(pow (fabs x) 2)
(*.f64 x x)
(pow (fabs x) 2)
(*.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))
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(/ 1/2 (pow x 2))
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(/ 1/2 (pow x 2))
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(/ 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))
(/ 1/2 (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))
(/ 3/4 (* (pow x 4) (fabs x)))
(/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fabs.f64 x))))))
(/ 3/4 (* (pow x 4) (fabs x)))
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(/ 3/4 (* (pow x 4) (fabs x)))
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(/ 3/4 (* (pow x 4) (fabs x)))
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(/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fabs.f64 x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 #s(literal 15/8 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))

eval74.0ms (0.7%)

Memory
11.9MiB live, 167.4MiB allocated
Compiler

Compiled 37 048 to 1 809 computations (95.1% saved)

prune55.0ms (0.5%)

Memory
-5.1MiB live, 154.3MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New5221523
Fresh000
Picked101
Done000
Total5231524
Accuracy
100.0%
Counts
524 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify5.0ms (0%)

Memory
10.9MiB live, 10.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
(exp.f64 (*.f64 x x))
cost-diff0
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
Rules
14×lower-*.f32
10×lower-*.f64
lower-/.f32
*-commutative
lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
01838
12538
22738
32938
43038
03038
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(exp.f64 (*.f64 x x))
(*.f64 x x)
x
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(fabs.f64 x)
Outputs
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(exp.f64 (*.f64 x x))
(*.f64 x x)
x
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(fabs.f64 x)

localize31.0ms (0.3%)

Memory
-14.8MiB live, 63.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(exp.f64 (*.f64 x x))
accuracy100.0%
(PI.f64)
accuracy99.8%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
Samples
19.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 3.0ms (25.4% of total)
ival-mult: 3.0ms (25.4% of total)
ival-exp: 2.0ms (16.9% of total)
ival-sqrt: 2.0ms (16.9% of total)
ival-pi: 1.0ms (8.5% of total)
ival-fabs: 1.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
6 → 60
Calls
Call 1
Inputs
#<alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))>
#<alt (exp.f64 (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))>
#<alt (PI.f64)>
#<alt (fabs.f64 x)>
Outputs
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x)))
1.0ms
x
@-inf
(* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x)))
1.0ms
x
@-inf
(/ (sqrt (/ 1 (PI))) (fabs x))
1.0ms
x
@0
(* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x)))
1.0ms
x
@0
(/ (sqrt (/ 1 (PI))) (fabs x))

rewrite98.0ms (0.9%)

Memory
12.3MiB live, 130.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 240×lower-*.f32
1 236×lower-*.f64
588×lower-/.f32
584×lower-/.f64
372×lower-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
01829
16226
228526
0191326
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
6 → 183
Calls
Call 1
Inputs
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(exp.f64 (*.f64 x x))
(*.f64 x x)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(PI.f64)
(fabs.f64 x)
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (exp.f64 (*.f64 x x))))
(neg.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(neg.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (neg.f64 (fabs.f64 x))))
(neg.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (PI.f64)))) (fabs.f64 x)))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x x)))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (fabs.f64 x))))
(/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (neg.f64 (fabs.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x x))) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal -1 binary64)) (fabs.f64 x))
(pow.f64 (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (exp.f64 (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (exp.f64 (*.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (neg.f64 (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(*.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x x)))
(*.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (fabs.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fabs.f64 x) (sqrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (fabs.f64 x)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (neg.f64 (fabs.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(pow.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (fabs.f64 x)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (pow.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (PI.f64)))))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(fabs.f64 (PI.f64))
(-.f64 #s(literal 0 binary64) (neg.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (neg.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (PI.f64)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal -1/3 binary64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (PI.f64))))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(fabs.f64 x)
(fabs.f64 (neg.f64 x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x)))
(neg.f64 (neg.f64 (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (fabs.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x)))

simplify468.0ms (4.3%)

Memory
14.9MiB live, 448.9MiB allocated
Algorithm
egg-herbie
Rules
15 354×lower-fma.f64
15 354×lower-fma.f32
5 268×lower-*.f64
5 268×lower-*.f32
2 236×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040454
1112410
2376389
31213378
42095375
53850375
64950373
75205373
85262373
95262373
105262370
116654370
127530370
137530370
147530370
157655370
167688370
177691370
08607358
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
Outputs
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (exp.f64 (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)

eval29.0ms (0.3%)

Memory
-27.2MiB live, 49.7MiB allocated
Compiler

Compiled 3 667 to 737 computations (79.9% saved)

prune26.0ms (0.2%)

Memory
15.7MiB live, 54.9MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2367243
Fresh000
Picked101
Done000
Total2377244
Accuracy
100.0%
Counts
244 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
2.2%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
100.0%
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
79.1%
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
90.3%
(*.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
54.6%
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
90.3%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (fabs.f64 x)))
Compiler

Compiled 230 to 156 computations (32.2% saved)

simplify79.0ms (0.7%)

Memory
0.3MiB live, 79.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
cost-diff0
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
cost-diff0
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
cost-diff0
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
cost-diff0
(*.f64 x x)
cost-diff0
(exp.f64 (*.f64 x x))
cost-diff0
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
Rules
1 234×lower-fma.f32
1 228×lower-fma.f64
1 204×lower-*.f32
1 192×lower-*.f64
686×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022183
043183
179183
2143183
3296181
4561181
51391181
61810181
71812181
81818181
91832181
101845181
111856181
121860181
131860181
01860179
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 x x))
(*.f64 x x)
x
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(fabs.f64 x)
x
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(fabs.f64 x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(fma.f64 x x #s(literal 1 binary64))
x
(fabs.f64 x)
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(fabs.f64 x)
Outputs
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 x x))
(*.f64 x x)
x
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(fabs.f64 x)
x
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(fabs.f64 x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(fma.f64 x x #s(literal 1 binary64))
x
(fabs.f64 x)
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(fabs.f64 x)

localize96.0ms (0.9%)

Memory
-5.4MiB live, 156.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(PI.f64)
accuracy99.8%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy99.8%
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy92.1%
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(PI.f64)
accuracy99.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
accuracy50.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(PI.f64)
accuracy99.8%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy50.6%
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
accuracy100.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(PI.f64)
accuracy99.8%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy100.0%
(exp.f64 (*.f64 x x))
accuracy100.0%
(PI.f64)
accuracy99.6%
(*.f64 x (sqrt.f64 (PI.f64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
Samples
54.0ms256×0valid
Compiler

Compiled 195 to 26 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 12.0ms (31.4% of total)
ival-fabs: 10.0ms (26.1% of total)
ival-div: 6.0ms (15.7% of total)
ival-add: 3.0ms (7.8% of total)
ival-sqrt: 3.0ms (7.8% of total)
ival-exp: 2.0ms (5.2% of total)
ival-pi: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
0.7MiB live, 35.4MiB allocated
Counts
18 → 168
Calls
Call 1
Inputs
#<alt (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))>
#<alt (exp.f64 (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))>
#<alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))>
#<alt (/.f64 #s(literal 1 binary64) (PI.f64))>
#<alt (PI.f64)>
#<alt (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))>
#<alt (fma.f64 x x #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (fabs.f64 x)>
Outputs
#<alt (/ 1 (fabs (* x (sqrt (PI)))))>
#<alt (+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))>
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 2) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
Calls

42 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(+ (* (* x x) (+ (* x (* x 1/2)) 1)) 1)
1.0ms
x
@-inf
(* (+ (* x x) 1) (/ (sqrt (/ 1 (PI))) (fabs x)))
1.0ms
x
@inf
(* (+ (* x x) 1) (/ (sqrt (/ 1 (PI))) (fabs x)))
1.0ms
x
@inf
(* (+ (* (* x x) (+ (* x (* x 1/2)) 1)) 1) (/ (sqrt (/ 1 (PI))) (fabs x)))
1.0ms
x
@-inf
(* (+ (* (* x x) (+ (* x (* x 1/2)) 1)) 1) (/ (sqrt (/ 1 (PI))) (fabs x)))

rewrite391.0ms (3.5%)

Memory
21.7MiB live, 527.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 488×lower-fma.f32
8 482×lower-fma.f64
5 574×lower-*.f32
5 562×lower-*.f64
3 352×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022118
043118
1161106
21098106
08414104
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 251
Calls
Call 1
Inputs
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 x x))
(*.f64 x x)
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(fma.f64 x x #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 (PI.f64))
(*.f64 x (sqrt.f64 (PI.f64)))
(fabs.f64 x)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x (neg.f64 x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (exp.f64 (*.f64 x x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x (neg.f64 x))))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x (neg.f64 x))))))
(/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (fabs.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 x x)))) (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(pow.f64 (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x (neg.f64 x)))) #s(literal -1 binary64))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (exp.f64 (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (exp.f64 (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (pow.f64 (exp.f64 (*.f64 x (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (neg.f64 (exp.f64 (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (exp.f64 (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x (neg.f64 x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 x)))
(*.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x (neg.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x (neg.f64 x)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 x x))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (*.f64 x x))))
(neg.f64 (neg.f64 (exp.f64 (*.f64 x x))))
(pow.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) x)
(pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (E.f64) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x x))))
(*.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs.f64 (neg.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (-.f64 (*.f64 x (sqrt.f64 (PI.f64))) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(neg.f64 (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) #s(literal -1 binary64))
(/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (fabs.f64 x) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(neg.f64 (neg.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) x))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) x))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) x)
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 x (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(fabs.f64 x)
(fabs.f64 (neg.f64 x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x)))
(neg.f64 (neg.f64 (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (fabs.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x)))

simplify703.0ms (6.4%)

Memory
0.4MiB live, 871.0MiB allocated
Algorithm
egg-herbie
Rules
37 170×lower-fma.f64
37 170×lower-fma.f32
5 754×lower-*.f64
5 754×lower-*.f32
4 744×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0841652
12491477
27261352
331341290
449211290
554661290
654921290
754921290
091021203
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(/ 1 (fabs (* x (sqrt (PI)))))
(+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(sqrt (/ 1 (PI)))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(* (pow x 2) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 2) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
Outputs
(/ 1 (fabs (* x (sqrt (PI)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (fma.f64 x x #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(fma.f64 (/.f64 (*.f64 x x) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (sqrt (/ 1 (PI))))
(*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (sqrt (/ 1 (PI))))
(*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (fabs.f64 x))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (fabs.f64 x))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)

eval280.0ms (2.5%)

Memory
43.5MiB live, 373.4MiB allocated
Compiler

Compiled 48 269 to 3 956 computations (91.8% saved)

prune240.0ms (2.2%)

Memory
6.0MiB live, 340.6MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2 193162 209
Fresh202
Picked415
Done000
Total2 199172 216
Accuracy
100.0%
Counts
2 216 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.7%
(fma.f64 (/.f64 (*.f64 x x) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
79.1%
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
6.9%
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
90.3%
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
54.6%
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
79.1%
(/.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
54.6%
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
54.6%
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
54.6%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64)))
100.0%
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
54.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 x x #s(literal 1 binary64))))
2.2%
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
79.1%
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
54.6%
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
54.6%
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
54.6%
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
79.1%
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
Compiler

Compiled 817 to 288 computations (64.7% saved)

regimes23.0ms (0.2%)

Memory
-7.0MiB live, 31.4MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (fabs.f64 x)))
(*.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(fma.f64 (/.f64 (*.f64 x x) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (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 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x 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 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
Calls

3 calls:

7.0ms
(fabs.f64 x)
7.0ms
x
6.0ms
(*.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 109 to 34 computations (68.8% saved)

regimes22.0ms (0.2%)

Memory
-13.2MiB live, 28.0MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (fabs.f64 x)))
(*.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(fma.f64 (/.f64 (*.f64 x x) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
Outputs
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
Calls

3 calls:

9.0ms
(fabs.f64 x)
6.0ms
x
5.0ms
(*.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
90.3%1x
90.3%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))))))
90.3%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes17.0ms (0.2%)

Memory
-12.2MiB live, 25.9MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
Outputs
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
Calls

3 calls:

6.0ms
(*.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))))))
5.0ms
(fabs.f64 x)
5.0ms
x
Results
AccuracySegmentsBranch
79.1%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))))))
79.1%1x
79.1%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes12.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64)))
Outputs
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
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
54.6%1x
54.6%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))))))
54.6%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes5.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

2.0ms
(fabs.f64 x)
1.0ms
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
2.2%1x
2.2%1(fabs.f64 x)
2.2%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))))))
Compiler

Compiled 109 to 34 computations (68.8% saved)

simplify9.0ms (0.1%)

Memory
-30.9MiB live, 7.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
fabs-mul_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02366
13266
23366
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
Outputs
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))

soundness1.7s (15.2%)

Memory
33.9MiB live, 772.5MiB allocated
Rules
37 170×lower-fma.f64
37 170×lower-fma.f32
24 884×lower-fma.f64
24 884×lower-fma.f32
15 354×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0931182
12491088
2763984
32199886
44389862
56044827
67083827
77200827
87884827
08135814
0841652
12491477
27261352
331341290
449211290
554661290
654921290
754921290
091021203
022118
043118
1161106
21098106
08414104
01029
01829
16226
228526
0191326
040454
1112410
2376389
31213378
42095375
53850375
64950373
75205373
85262373
95262373
105262370
116654370
127530370
137530370
147530370
157655370
167688370
177691370
08607358
026177
048100
115668
2123957
0848054
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 179 to 108 computations (39.7% saved)

preprocess42.0ms (0.4%)

Memory
5.4MiB live, 80.1MiB allocated
Remove

(abs x)

Compiler

Compiled 364 to 124 computations (65.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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